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Computer Modeling Results: Aires Resonator Interaction with Electromagnetic Radiation (Stage 2)

Computer Modeling Results: Aires Resonator Interaction with Electromagnetic Radiation (Stage 2)

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Ministry of Science of Higher Education of the Russian Federation

federal state autonomous educational

institution of higher education "National Research University ITMO"

(ITMO University)

UDC 621.3 Reg. N R&D Reg. N IKRBS

I APPROVED

Vice-Rector for Scientific Affairs

Dr. Tech. sciences, professor

___________ V.O. Nikiforov

"____" __________ 2025 G.

REPORT

ABOUT RESEARCH WORK

Analysis of the state of research in the field of studying the interaction of new generation resonators with communication networks. Justification of the direction of research in terms of

improving approaches to recording parameters of interaction of resonators with

communication networks

on the topic: Study of the interaction of resonators of the type «Lifetune» with electromagnetic fields,

created communication networks

(intermediate, stage N 2)

Cipher: 225011

Topic leader professor, doctor of technical sciences. _______________ G.N.Lukyanov

(signature, date)

Saint Petersburg 2025

2

LIST OF PERFORMERS

Topic leader Professor, Doctor of Technical Sciences , leading researcher

G.N. Lukyanov (signature, date) (introduction, sections 1-3, conclusion) Performers: Professor, Doctor of Technical Sciences, leading researcher

A.V. Kopyltsov (signature, date) (section 1)

Ved. engineer S.L. Makarov (signature, date) (section 2)

Laboratory assistant I.A. Prokofiev (signature, date) (sections 2, 3)

Ph.D., researcher

A.A. Rassadina (signature, date) (introduction, sections 1-3, conclusion) Ph.D., researcher

M.Ya. Afanasyev (signature, date) (Section 2)

Designer S.A. Shorokhov (signature, date) (Section 2)

Standards inspector V.V. Toothless

(signature, date)

3

ABSTRACT

Report 44 pp., 28 figures, 1 table, 9 sources.

MODEL FOR CALCULATIONS OF A RESONATOR, IMPACT OF RADIATION

COMMUNICATION NETWORKS, DEVICE LAYOUT FOR REGISTRATION

BRAIN ACTIVITY

The object of study is a resonator «Lifetune». Purpose of the work -

studying the interaction of new generation resonators with communication

networks, study of the interaction of resonators with electromagnetic

radiation in wireless communication networks. For this purpose it is used

physical and mathematical model of resonator interaction «Lifetune» With

radiation created by the authors [1, 2] and developed in this work. For

confirming the correctness of the model, the results of periodic

heating-cooling of the resonator with measurement of the temperature field distribution

on its surface.

Also, based on previous work performed by the authors [3, 4], are being considered

methods for improving approaches and their specific implementation for registration

parameters of interaction of resonators with communication networks, based on

control of the action of these networks on a living organism. Scope and

implementation of research results can be wireless networks.

4

CONTENT

Page.

INTRODUCTION……………………………………………………………………….. 6

1 Simulation of resonator responses to external influences……... 7

1.1 Modeling the response of a single resonator ………………………… 7

1.1.1 Model…………………………………………………………..… 7

1.1.2 Single resonator response model……………………………… 9

1.2 Modeling the response from a block composed of four

resonators (tetragonal circuit)………………………………………........

10

1.2.1 Simulation results in which one is excited

resonator of four…………………………………….………………………

11

1.2.2 Simulation results in which all are excited

resonators simultaneously……………………………..…………………………

12

1.2.3 Conclusions…………………………………………………...……...… 13

1.3 Modeling the response from a block composed of six

resonators (hexagonal circuit)……………..……………………………..

15

1.3.1 Simulation results in which one is excited

resonator……………………………………….…………………………………

15

1.3.2 Conclusions for the case of six resonators…………………..…….. 16

1.4 Modeling a block of three resonators («Lifetun Zone Max»)…. 16

1.4.1 First cycle of calculations. Three resonators are located on a common

base without any pattern or relief………………………………

17

1.4.2 Second cycle of calculations. Three resonators are located on a common

base with a metal mesh in the form of a self-similar pattern (so-called.

«antenna»)……………………………………….………………………………...

18

1.4.3 Conclusions for the case of three resonators…………………………… 19

2 Study of the behavior of the resonator during periodic heating-

cooling…………………………………...…………………………………...

20

2.1 Experiment……….…...………………………………………………. 21

3 Layout of a device for visualizing a reaction to an action

electromagnetic field…………………………………...……………...

29

3.1 Description of the circuit diagram………………………….………… 29

5

3.2 Communication with a computer and operating program of the device………………... 30

3.3 Layout design…………………….….………………………….. 33

3.3.1 General purpose………………………………………………… 33

3.3.2 Design………………….………………….. 33

3.3.3 Material and manufacturing technology…………………………… 34

3.4 Results obtained using the layout…………...…………….. 35

4 Device layout for visualizing field distribution values ​​in

various points of the room……………………………………………

37

3.1 Description of the basic element circuit………………..…………………. 38

4.2 Computer connection……………………………….………………….. 39

4.2 Basic element circuit programming……….………………. 39

4.4 Device programming…………………….…………………. 40

CONCLUSION…………………………..…………….....……………………… 41

LIST OF SOURCES USED…………………..………… 44

6

INTRODUCTION

The object of study are resonators «Lifetune». The purpose of the work

is the study of the interaction of resonators with electromagnetic

radiation from mobile communication networks and Wi-Fi - routers. Basis for work

are preliminary studies previously conducted by the authors [1-4] And

devices provided by the customer.

The report contains physical and mathematical data and the data created on its basis.,

computer model for calculating the resonator response to electromagnetic

radiation. A prototype of a device for measuring signals from a surface is considered.

human head to visualize a person's reaction to change

electromagnetic environment. Developed computer model and layout

devices for measuring signals from the surface of the human head will

be used and refined when performing the following stages of work.

The results of the work at the stage are the basis for further implementation

research work.

7

1 SIMULATION OF RESONATOR RESPONSES TO EXTERNAL

IMPACT

1.1 SIMULATION OF THE RESPONSE OF ONE RESONATOR

1.1.1 MODEL

The model “interaction of resonators with electromagnetic

radiation" described in [1-4], and used during work within the 1st stage

this study (Fig..1).

Drawing 1 – Interaction with a semiconductor

This model considers the polarization mechanism of silicon

plates with a relief of annular grooves, the location of which is specified

construction based on affine transformations that map onto themselves.

The response of the resonator to an electromagnetic wave was considered.

The change in the distribution of tension over time was studied

resonator surface for various boundary conditions (unsteady

case) for a two-dimensional model.

In accordance with the above-mentioned model (Fig. 1), the electric field at

interaction with a semiconductor causes the phenomenon of charge displacement and,

due to the fact that in the area of ​​​​the “grooves” the plate has a smaller thickness,

the concentration of charge carriers in the grooves will be higher than in neighboring areas.

Therefore, in the modeling it was assumed that charge carriers are concentrated

in the grooves (see picture 1).

If there are no magnetic currents and the medium is isotropic, then Maxwell’s equations,

connecting the magnetic field (MF) and electric field (EF) have the form:

this study (Fig..1).
Equation: ,0       E t B , D H J t        , H B  

8

Where

E – EP tension,

H – MP tension,

D – induction of EP,

B – MP induction,

ε – dielectric constant of the medium,

μ – magnetic permeability of the medium,

J – vector of electric current generated by charges on the membrane,

∇ – operator.

In the Cartesian coordinate system (x, y, z):

Where F – arbitrary function, i, j, k – unit vectors of coordinate axes (x y, z).

Then

Equation: . - z y x z J x H y H t D          , y E z E t B z y x         , z E x E t B x z y         , x E y E t B y x z ...

Calculations were carried out for one, three, four and six resonators.

, E D  

Equation: , , ,                 z y x ,                                            y F ...

9

1.1.2 SIMULATION OF THE RESPONSE OF ONE RESONATOR

Program listings are given below. Calculations were performed for the resonator

«Lifetune», shown in the figure 2.

Drawing 2 – Resonator model «Lifetune»

The structure of the resonator is shown in the figure 3.

Drawing 3 – Resonator structure «Lifetune»

Figure 4 shows the results of calculating the tension distribution

along the resonator surface. Two distribution projections are given

electric field strength along the resonator surface

Drawing 4 – The result of calculating the tension distribution over the surface

resonator

«Lifetune», shown in the figure 2.
The structure of the resonator is shown in the figure 3.
electric field strength along the resonator surface

10

The result obtained does not differ from those obtained previously, and

published in [1-4], and in the stage report 1.

In order to study the behavior and interaction of several resonators,

united into a single complex, the devices were simulated,

consisting of four, six and three resonators «Lifetune». At the same time it was checked

hypothesis about the possibility of interaction of resonators with each other.

1.2 SIMULATION OF THE RESPONSE FROM A BLOCK COMPOSED

OF FOUR RESONATORS (TETRAGONAL CIRCUIT)

The behavior of a block of four resonators located

close to each other as shown in the picture 5.

Drawing 5 – Diagram of a block of 4 resonators

Drawing 5 – Diagram of a block of 4 resonators

11

1.2.1 SIMULATION RESULTS IN WHICH

ONE RESONATOR OUT OF FOUR IS EXCITED

The following presents the results of a simulation in which the

one resonator. Figures 6, 7 show the development of excitation over time

(conditional time, calculation cycles, from 120 to 360).

Drawing 6 – Simulation results in which one is excited

resonator. The figures show the development of excitation over time, with

transmission from resonator to resonator (conventional time,

calculation cycles, from 120 to 210)

Drawing 6 – Simulation results in which one is excited

12

Drawing 7 – Development of arousal over time (conditional time,

calculation cycles, from 240 to 360)

1.2.2 SIMULATION RESULTS IN WHICH

ALL RESONATORS ARE EXCITED AT THE SAME TIME

Below are the results of simulations in which the

all resonators at the same time, excitation comes to all resonators

simultaneously. Figure 8 shows the result of the calculation, steady state

mode.

Figure from É Ç É_ Â Î Å _ Å Ç Î_ Ì É 2_ É
calculation cycles, from 240 to 360)

13

Drawing 8 – The result of a simulation in which all resonators are excited

simultaneously, steady state

1.2.3 CONCLUSIONS

Compared to the single resonator model, the response amplitude is sharply

has increased. For one resonator it was ~106, (Figure 4), for four

amounts to ~1013, for the case of excitation of one resonator, and ~109 – for the occasion

simultaneous excitation of four resonators (amplitude values

are given in relative, dimensionless units).

The difference in amplitude for the two considered cases for four

resonators can be explained by the fact that when one resonator is excited,

the response arising on it consistently involves in the process of excitation

one after another, the three remaining resonators. At the same time, for everyone to be included in

this process takes time. This time is determined by the speed at which

charge carriers appear.

With simultaneous excitation, the resonators are simultaneously drawn into

polarization process. At the same time, due to the inertial properties (it takes time for

response) they do not keep up with field changes.

When one resonator is excited, the excitation is transferred to the adjacent one

resonator when the voltage level at the first one reaches a value, at

at which on the second the concentration of charge carriers will reach a value at

which will begin discharges between the grooves. Then the excitement will be transmitted to

third, etc. Auto-tuning occurs, the resonators are in resonance with each other

friend. In the case of excitation of four resonators, such a resonance between them

simultaneously, steady state

14

is not observed and the maximum value of the field strength is significantly lower

(Figure 8) than in the case of excitation of one resonator.

15

1.3 SIMULATION OF THE RESPONSE FROM A BLOCK COMPOSED

OF SIX RESONATORS (HEXAGONAL SCHEME)

The resonators are located according to the diagram in Figure 9. Calculations were carried out

response to their excitement.

Drawing 9 – Arrangement of six resonators

1.3.1 RESULTS OF SIMULATION IN WHICH THERE IS EXCITATION

ONE RESONATOR

The following presents the results of a simulation in which the

one resonator out of six. The excitation mechanism is the same as described

above for the case of four resonators. Figure 10 shows the result

excitation over time after 260 cycles of conditional time.

Drawing 10 – The result of modeling the response of a circuit of six resonators (after

260 conditional time cycles). Two different response projections are given

response to their excitement.
excitation over time after 260 cycles of conditional time.

16

1.3.2 CONCLUSIONS FOR THE CASE OF SIX RESONATORS

Compared to the single resonator or four resonator model,

the amplitude of the response increased further. For one resonator it was ~106,

(Figure 4), for four was ~1013 (Figures 6, 7), for the case of excitation

one resonator out of four and for six it is already ~1020 (drawing 10).

1.4 SIMULATION OF A BLOCK OF THREE RESONATORS («LIFETUN

ZONE MAX»)

Three resonators are arranged in such a way that they are located on one

lines, with the average – in the center and directed by the surface with relief in

side opposite to the resonators located along

edges (picture 11).

Drawing 11 – Layout of a block of three resonators

For this device, two cycles of calculations were carried out: in the first three

The resonator is located on a common base, without any pattern or relief.

In the second cycle of calculations, the device itself was simulated «Lifetun Zone

Max», where the resonators are located on a common base with a metal mesh in

form of a self-similar pattern (the so-called “antenna»).

side1

side2

17

1.4.1 FIRST CYCLE OF CALCULATIONS. THREE RESONATORS ARE LOCATED ON

ON A COMMON BASE WITHOUT ANY PATTERN OR RELIEF

The result of simulating the response of a three-cavity circuit for this

case is shown in Figure 12. Here are two different projections of the response.

The image is distorted (ellipses are visible instead of circles) due to the fact that

the object is elongated (see figure 11).

Drawing 12 – The result of modeling the response of a circuit of three resonators (after

conditional time cycles)

Figure from É Ç É_ Â Î Å _ Å Ç Î_ Ì É 2_ É
conditional time cycles)

18

1.4.2 SECOND CYCLE OF CALCULATIONS. THREE RESONATORS ARE LOCATED ON

COMMON BASE WITH METAL MESH IN THE FORM OF SELF-SIMILAR

FIGURE (T.N. “ANTENNA”»)

The result of modeling the response of a circuit of three resonators (after cycles

conditional time) is presented in Figure 13. Three projections of the response are shown.

The image is distorted (ellipses are visible instead of circles) due to the fact that

the object is elongated (see figure 11)

Drawing 13 – The result of modeling the response of a circuit of three resonators (after

conditional time cycles)

conditional time cycles)

19

1.4.3 CONCLUSIONS FOR THE CASE OF THREE RESONATORS

The difference between the images in Figure 12 and the figure is visible 13.

The amplitude in Figure 13 is greater than in Figure 12. The distribution has become more

uniform, smoother. The presence of an “antenna” leads to

additional response enhancement. This effect requires additional

research, including for systems of four and six resonators.

20

2 STUDY OF THE BEHAVIOR OF THE RESONATOR AT

PERIODIC HEATING-COOLING

Numerical experiments showed unusual behavior of silicon

plates with a self-affine relief on the surface made of ring

grooves when exposed to electromagnetic radiation. Were completed

experiments with heating and cooling using a Peltier battery, which

also confirmed the hypothesis underlying the numerical model.

In the picture 14 [5] the dependence of the absorption coefficient is presented

silicon depending on the wavelength. It can be seen that silicon absorbs

electromagnetic radiation in the range from 200 nm to 1400 nm. Close values

are obtained from the bandgap value for silicon. Width

band gap for silicon Eg=1,12 eV. This corresponds to absorption at

wavelengths <1,11 µm, which is far from the spectral range in which

«sees" thermal imager Testo 890, which was used in this experiment.

Drawing 14 – Dependence of silicon absorption coefficient on wavelength [5]

«sees

21

2.1 EXPERIMENT

In the experiment, the resonator was periodically heated and cooled with

using a Peltier battery. The experimental setup is shown in

photos drawing 15.

Drawing 15 – Experimental setup

Heating and cooling of the Peltier element was carried out by

switching the direction of current through it. Current polarity switching circuit

is shown in Figure 16. With one current polarity, the resonator was cooled, with

another – heated up.

Temperature distribution was measured using a thermal imager Testo 890.

Examples of thermograms obtained in this way are shown in the figure. 17.

When heated and cooled, the Peltier element heats and cools

resonator located on its surface (Figure 6). Resonator heating

occurs with a delay relative to the Peltier element. Simultaneously

thermal imager Testo 890 registers fluctuations in the temperature field of the resonator.

photos drawing 15.

22

Drawing 16 – Current polarity switching circuit

Drawing 17 – Examples of thermograms

This is explained by the fact that between the heat entering the plate from

Peltier element, and the heat given off by the surface of the plate to the surrounding

environment, there is a dynamic equilibrium. It's a dynamic balance

Equation: characterized by thermal inertia index  , which is defined as:  = C /  ∙ S , With,
Drawing 16 – Current polarity switching circuit
This is explained by the fact that between the heat entering the plate from

23

Where C – total heat capacity of the resonator;  – heat transfer coefficient from

resonator surface into the environment; S – surface area

resonator.

Radiation from a heated body is described by Planck's law.

Equation: 1 2 5 1 1 exp               T c c E   , Where E – radiation energy,  – wavelength, T – temperature, c 1 – first

radiation constant, s1 = ℎ ∙ 𝑐0

2, c0 – speed of light in vacuum, h – constant

Equation: Plank, c 2 – second radiation constant, 𝑐 2 = ℎ∙𝑐 0

𝑘 , k – Boltzmann constant.

Planck's radiation law applies to the so-called black body.

The fundamental properties of a black body are that, firstly, it

absorbs all incident radiation, and secondly, always emits more

energy than any other body at the same temperature. Black body model

is a cavity with a hole, or depression in the surface, or groove.

When, for example, a ray of light enters a hole in a cavity, it repeatedly

is reflected and absorbed by the walls of the cavity, and the probability that it will leave

the cavity through the hole is extremely small (see figure 18).

Drawing 18 – Cavity with a hole as a model of a completely black body

In practice, the energy of this beam is almost completely absorbed

cavity. The recesses and grooves absorb light almost as well. However,

these models do not fully possess the properties of a completely black body,

absorbing energy just like a black body.

the cavity through the hole is extremely small (see figure 18).

24

The difference between a real and a completely black body is characterized as follows:

called absorption coefficient, =Er/E, Where E – radiation energy

black body, Er – radiation energy of a completely black body at that

the same temperature as a perfect black body. Cavities are commonly used in

as black body models [6, 7].

Using a thermal imager Testo 890 temperature field was measured

resonator surface during heating and cooling. Heating and cooling

controlled using a Peltier element. The results obtained, and

namely the change in temperature of the central part of the resonator (with relief),

the temperature of its peripheral part, and the temperature of the Peltier element with flow

time are presented in the graph in Figure 19. The difference in the obtained values

temperature is due to different values ​​of the absorption coefficients of these

parts. In reality they are at the same temperature.

Drawing 19 – Measured temperatures: 1. Peltier elements, purple curve,

purple symbols «∙», TP; 2. Central part of the resonator with relief, red

curve, red symbols «+», TR; 3. Its peripheral parts, without relief,

polished silicon, blue curve, blue symbols «°», TW

When the temperature of the Peltier battery changes rapidly, setting

increase or decrease in resonator temperature, measured temperature

central part (TR) with a relief higher than the plate periphery temperature (TW)

without relief. However, their actual temperatures should be the same,

because they are parts of the same object. This means that the absorption coefficient

parts. In reality they are at the same temperature.

25

on the corrugated section of the resonator surface is significantly higher than on the smooth.

This coefficient is not constant and depends on the heating rate due to

thermal inertia. Its minimum value can reach the same value,

Equation: the same as the absorption coefficient  polished silicon, maximum – absorption coefficient values  surface of the Peltier element (  ...

It should also be noted that the width of the groove on the resonator surface (0.2 μm)

incomparably small compared to that used in Testo 890 spectral

sensitivity range (8 µm ... 14 µm), and such a groove is 0.2 µm wide

cannot provide absorption within the instrument's sensitivity range.

Equation: Emissivity  for an aluminum Peltier emitter is  ≈ 0,8. Based on the Stefan-Boltzmann law, the emissivity...

the central part of the resonator (with relief) can be defined as:

Equation: 4 4 Center Center Pelt Pelt T T      , (1) Where  =5,67∙10 -8 W/(m 2 ∙TO 4 ) — Stefan-Boltzmann constant. 4 4 Pelt Center Center T...

The emissivity coefficient of the central region of the resonator, determined by

formula (2), is presented in the graph of Figure 20 below. For comparison graph

temperature changes in Figure 19 are repeated in the upper graph of the figure 20.

The graphs show that a sharp decrease in emissivity

occurs at moments of a sharp change in the direction of temperature change.

This can be explained by the fact that there must also be a rapid change

concentration of charge carriers in the “groove” region. Carrier concentration

charge in the central part of the resonator during sudden temperature changes above,

than in its peripheral areas, therefore due to additional absorption

charge carriers, the emissivity coefficient of radiation is here

increases. It is known that semiconductors have a very strong,

exponential dependence of charge carrier concentration on temperature.

Therefore, the proximity of the apparent temperature of the central part of the resonator to

temperature of the Peltier element is explained by a sharp increase in concentration

electrons, their concentration near the grooves and additional absorption

light from these electrons. This also explains the increase in emissivity

26

emission ability of the central part with increasing temperature. Is it true,

an increase in the emissivity of radiation occurs with some

delay (approximately 0.5...1 second), but this delay is explained by the usual

thermal inertia. When the resonator heats up, firstly, it increases

temperature, which leads to an increase in the concentration of charge carriers

(electrons). It is known that the electron concentration in a semiconductor is highly

depends on temperature. Rising temperatures provide energy for

breaking covalent bonds in silicon and releasing electrons. With growth

temperature, the concentration of free electrons increases (temperature)

[8]. Secondly, when heated, a temperature difference arises between the lower

plane of the resonator in contact with the heat source (Peltier element),

and its upper plane. This, according to Fourier's law of thermal conductivity,

causes a heat flow through the resonator directed from the bottom plane to

top.

Drawing 20 – Measured temperatures (top window) and emissivity

central area (bottom window)

Equation: 30 35 40 45 50 55 15 20 25 30 35 40 45 50 time,s

temperature,C

Equation: 30 35 40 45 50 55 0.65 time,s

0.7

Equation: 0.75 0.8 emissivity

0.85

0.9

27

Assuming that the heat flow is one-dimensional and directed normal to

heated lower surface to the upper, it can be described using the law

Fourier, in the form of an expression:

Equation: q =  ( dT / dx ) S , (3) Where q , W/m² – heat flux per unit surface,  = 149 W/m·TO –

thermal conductivity of the material (silicon), T – temperature, TO, x – coordinate by

normal to surface, S – resonator surface area, m². Expression (3)

can be rewritten in a simplified form:

q = T/x)S, (4)

Then, at the temperature of the outer surface of the resonator tout = 20°C And

internal surface temperature tin = 40°C, T = tin – tout = 20K.

Calculations using formula (4) give the heat flux density q ≈ 1184 W/m².

Then the heat flow through the resonator, Q = q∙S, will be Q = 1184∙4∙10 ≈ 0,4736 W.

This heat flow is then dissipated into the environment in two ways:

natural convection and thermal radiation.

Law of Convection:

Equation: Q =  ( t out – t a )S, (5) Where Q – amount of heat transferred per unit time, W,  , W/m²∙TO, –

heat transfer coefficient, ta – ambient temperature. If

ambient temperature ta = 20 °C, then the temperature difference tout – ta = 20 TO.

Equation: Stefan's Law of Radiation–Boltzmann: Q =  T 4 , W, where  – emissivity,  = 5,67∙10 -8 , W/m²TO 4 – Stefan's constant–Boltzma...

of the resonator surface has the value Q = 0,8∙5,67∙10-8∙3134 ≈ 0,174 W.

Under the influence of temperature differences and heat flow, electrons

diffuse from the bottom surface of the resonator, heated by the element

Peltier, on its upper surface. This is the directional movement of electrons

is nothing more than electric current. Excited electrons emit

photon, a vacancy is found, and in place of the resulting hole a

neutral atom. This process continues as long as it remains

temperature difference. These considerations are illustrated in the figure 21.

28

Drawing 21 – Movement of charges (electrons) under the influence of temperature difference

T = tin - tout between the bottom and top surfaces of the resonator

Thus, when heated, the electron concentration increases

(Kittel, 1996), including due to the electric current generated at

resonator surface. The most favorable position for

surface electrons are located at the bottom of the grooves, since the distance from

there are fewer of them to the heated bottom part of the resonator than from its top

surfaces in neighboring areas. Therefore, the electron concentration in the region

grooves are much higher, and the absorption of radiation by electrons is also higher.

It is known that the absorption of light by free electrons in semiconductors

increases with wavelength [9].

T = tin - tout between the bottom and top surfaces of the resonator

29

3 DEVICE LAYOUT FOR VISUALIZING REACTION TO ACTION

ELECTROMAGNETIC FIELD

3.1 DESCRIPTION OF THE CIRCUIT DIAGRAM

The schematic diagram of the device layout includes several

functional units providing registration of biopotentials, processing

signals, powering the device and transferring data to a computer for visualization.

a) Biopotential registration module EEG Click

The basis of the module EEG Click includes high-precision instrumentation

amplifier INA114, providing differential amplification of weak

biopotentials coming from the electrodes. After pre-amplification

the signal passes through a low-noise operational amplifier MCP609,

forming the required amplitude and frequency response (Figure 22).

Drawing 22 – Schematic diagram

Main functions of the module:

 amplification of a low-amplitude EEG signal to a level suitable for

further processing;

Equation:  filtering high-frequency and network interference;  signal output via analog output.

Three electrodes are connected to the module. To take a measurement

electrodes are attached to a person’s forehead, at two points located above the eyebrows,

the third is located between them (Figure 23). Measurements are made relative to

third point, the potential of which is taken to be zero.

Main functions of the module:

30

Figure 23 - Electrode placement diagram

Exit EEG Click represents analog signal, transmitted

directly to the entrance ADC microcontroller ESP32-C3.

b) Microcontroller ESP32-C3 Super Mini

The board is used as a polling and data transmission node ESP32-C3

Super Mini, performing the following functions:

Equation:  analog signal reading EEG Click via built-in ADC;  generation and transmission of data to a computer via interface USB;  I'll connect...

nodes.

c) Power stabilization unit

A 5 V linear stabilizer is used to power the analog part.,

ensuring low noise level and stable operation of amplifiers

cascades EEG Click. Power is supplied through the chain:

Charger → battery → 5V stabilizer →

EEG Click.

d) Charger and battery

For autonomous operation, a module of two lithium-polymer

batteries 3.7 V each, connected in series, they are connected through

charging module. The charger provides overcharge protection,

current limitation, safe connection of external source.

3.2 COMMUNICATION WITH A COMPUTER AND OPERATING PROGRAM OF THE DEVICE

Data transfer from the layout to the PC is carried out via USB-interface, through

virtual serial port. All processing and visualization is performed in

program written in language Python. Exchange includes: shipping ESP32-C3

array of ADC signals in text form; receiving and displaying data on the side

Exit EEG Click is an analog signal transmitted

31

PC; saving the signal to a file with subsequent processing (spectrum, filtering,

statistics).

Layout design

The design of the device layout is designed in such a way that

ensure reliable fastening of the electrodes, stable power supply to the analog part

and ease of connecting the device to a computer.

General construction

1 – controller; 2 – amplifier; 3 – electrodes

Drawing 24 – Device layout

The layout consists of three main subsystems: the device body in the form

rim that follows the shape of the head, pockets with equipment – removable

compartments for installing and securing boards 1 - controller, 2 - amplifier and

electrodes (picture 24).

All elements are connected to each other by short-length conductors for

minimizing interference and ensuring stable operation.

Placement and fastening of elements

Pay EEG Click mounted on a flat plastic side base.

Pay ESP32-C3 Super Mini located on the same base and connected to

Drawing 24 – Device layout

32

EEG Click short analog wire leading to the ADC input

microcontroller.

Electrode attachment

A movable mechanism is used to place electrodes on the head -

The distance between the electrodes can be adjusted. The electrodes themselves are pressed

springs, which allows it to fit snugly to the head. Elastic strap on

the back of the head, ensures a stable position of the entire body on the human head.

1 – electrodes; 2 – elastic fastening element

Drawing 25 – Layout from the other side

If necessary, the layout can be transferred to a non-separable case,

wires can be hidden, but at the development stage it is preferable

open placement of components.

Drawing 25 – Layout from the other side

33

3.3 LAYOUT CONSTRUCTION

3.3.1 GENERAL PURPOSE

The developed prototype is a hoop holder for

electrodes of the express-EEG system, intended for operational

placement of electrodes on the patient's head with the possibility of quick adjustment

position and ensuring tight contact with the skin in the forehead and back of the head.

The design is focused on laboratory research and integration with

miniature electronics for processing EEG signals.

3.3.2 CONSTRUCTION

The hoop is made in the form of an assembly of several 3D-printed elements,

combined into a modular design. Main components include (see.

drawings 24-25):

a) Main headband. Consists of two symmetrical arched

parts connected to the front electronics unit. Each arc is equipped

longitudinal groove at the ends for fastening and adjusting the elastic band,

providing adjustment to different head sizes of the user.

The material and shape of the arches provide the necessary rigidity while maintaining

wearing comfort.

b) Front block with electrode mounting. The central part of the hoop

contains a housing for housing electronics (biosignal amplifier, filter and

microcontroller). The front panel has sockets for eyebrow

electrodes, as well as clamps and guides for the gear mechanism

adjusting the interelectrode distance. The electrical connector is used for

connecting signal lines to a personal computer.

c) Mechanism for adjusting the interelectrode distance.

A gear transmission is implemented between the electrodes (Fig. 24,25), consisting of:

 gear wheel mounted on an axis with a handle for manual

adjustments;

 two symmetrical racks moving

in opposite directions. When the rack wheel rotates synchronously

move apart or slide, providing smooth adjustment of the distance

34

between the brow electrodes and precise adjustment to individual

user anatomy.

d) Elastic fixation on the head. To compensate for differences in circumference

head and secure fixation of the hoop, an adjustable elastic band is used,

threaded through the slots at the rear ends of the arches. Elastic element

allows for comfortable pressing of the electrodes without excessive

pressure.

3.3.3 MATERIAL AND MANUFACTURING TECHNOLOGY

All structural elements of the prototype were manufactured using the additive method.

production (FDM-stamp) on 3D-printer Bambu Lab A1. Used

material – PETG (polyethylene terephthalate glycol), providing a combination

strength, moderate flexibility and chemical resistance, making it

suitable for wearable medical prototypes.

Mechanical characteristics:

a) Total assembly weight (without electronics): about 140 g.

b) Working range for adjusting the interelectrode distance: from 60 mm to

100 mm.

c) Head circumference range: 530 – 610 mm (due to elastic band).

d) Rotation torque of the gear mechanism: no more than 0.05 N·m.

Technological recommendations:

a) Print elements in horizontal orientation to minimize

deformations and optimal load distribution.

b) For gear parts, use a denser filling (40–50 %) For

wear resistance.

c) Post-processing of holes and grooves by drilling is recommended

(3,0 mm / 6.0 mm) for precise fit of screws and axle.

d) Surfaces in contact with the skin can be covered with a thin layer

medical silicone for increased comfort.

35

Upgrade options:

a) Adding an occipital module with electrodes – mounting provided

constructively.

b) Option to print from nylon or ASA-plastic with serial

production to increase resistance to UV and deformation.

3.4 RESULTS OBTAINED USING THE LAYOUT

Figure 26 shows the location of the model on the head when measuring

signals from the points shown in the figure 23.

Drawing 26 – Position of the layout on the head

One of the results obtained using the layout is shown in

drawing 27.

signals from the points shown in the figure 23.

36

Drawing 27 – One of the results obtained using the layout

37

4 DEVICE LAYOUT FOR VISUALIZING VALUES

FIELD DISTRIBUTION AT DIFFERENT POINTS IN THE ROOM

To study the distribution of electromagnetic field power Wi-Fi V

indoors, a device layout based on the module was developed ESP-12F (family

ESP8266). The principle of its operation is based on measuring the level of received

signal – RSSI (Received Signal Strength Indicator), expressed in decibels

relative to 1 mW (dBm). This parameter reflects the intensity

electromagnetic field at the receiver location.

Module ESP-12F connects to a predetermined Wi-Fi network (set

via a separate router. At configurable time intervals it is carried out

measurement RSSI. Indicator RSSI changes with:

Equation:  moving the device around the room;  the appearance of physical obstacles (walls, furniture, people);  changing the distance to the access point...

Thus, the device allows you to obtain a distribution map

electromagnetic field in the room and visualize the change in power

real time signal.

38

4.1 DESCRIPTION OF THE BASIC ELEMENT SCHEME

Drawing 28 – Schematic diagram ESP12F

The basic element of the layout is a simple measuring

platform including the following nodes:

1) Module ESP-12F — core computing and RF element.

2) Antenna — built-in printed circuit, providing signal reception Wi-Fi.

3) Powered by external 3.3V source.

The signal part of the measurements is completely digital: RSSI calculated

built-in radio module ESP8266, which eliminates the need for external

analog components.

Figure from É Ç É_ Â Î Å _ Å Ç Î_ Ì É 2_ É

39

4.2 COMMUNICATION WITH COMPUTER

A protocol is used to transmit measured values MQTT (Message

Queuing Telemetry Transport) – compact and reliable protocol on top TCP/IP,

specially designed for telemetry systems.

To communicate with a computer ESP-12F connects to access point Wi-Fi.

At specified intervals, the device publishes a message to MQTT-broker for

alone. The message has the format JSON, For example: {"id": "node1", "rssi": -62, "ts":

1698765432}. Installed on the computer MQTT-broker (Mosquitto or equivalent) and

client application on Python. The client subscribes to the corresponding

topic and visualizes changes RSSI in real time.

Installed on the computer MQTT-broker and client application,

written on Python, which receives data and visualizes it in real

time.

4.3 PROGRAMMING THE BASIC ELEMENT DIAGRAM

Program for ESP-12F implemented on the basis Arduino-core For ESP8266.

Key firmware features include:

Equation:  connection to Wi-Fi networks;  periodic function call WiFi.RSSI() to get a level

signal;

Equation:  formation JSON-structures;  publication of data in MQTT-broker through library PubSubClient;  reconnection processing in case of sweat...

The measurement interval is specified in code (for example, 200–1000 ms) and maybe

changed in accordance with the visualization task.

PC software includes Python-script that:

Equation:  subscribes to MQTT-topic;  receives messages from the device;  builds a change graph RSSI in time;  records if necessary...

processing.

40

4.4 DEVICE PROGRAMMING

To flash the microcontroller firmware we need a converter USB –

UART on CH340 and the module itself ESP12F. The converter is connected to the module

as follows (Table 1).

Table 1 – Converter connection

Equation: ESP12F USB-Serial VCC VCC

CH_PD VCC

Equation: TX RX RX TX GND GND

GPIO 0 - not connected at first, but

will be used to translate into

programming mode next,

so the wire is already connected to it

RST, GPIO 2 - not connected RTS, CTS - not connected

Algorithm of actions:

1) putting together a diagram;

2) switch to programming mode (necessary every time

perform before flashing the module):

a) Disconnect power from the module;

b) Connect the pin GPIO 0 To GND;

c) Serve food;

3) You can start programming.

41

CONCLUSION

The response of different combinations of resonators to

exposure to an electromagnetic wave. The simulation was carried out for one

resonator, for four and six resonators. It has been shown that combinations of

four and six resonators when exposed give a significant increase in amplitude

response, compared to the case of a single resonator.

The response of the resonator to thermal influence was also studied, which gave

additional confirmation of the model on the basis of which the

computer modeling. For this purpose, an experimental

study of a device made from a silicon wafer size

20 mm x 20 mm x 1 mm with a regular relief of annular grooves 0.2 µm wide

and a depth of 0.8 microns on its surface, built by repeated

iteration and scaling using affine transformations,

forming a pattern that obeys the laws of self-similarity and scale

invariance [1-4]. Previously, these studies modeled the behavior

such an object, using the assumption that when applied to such a plate

electric field, it behaves similarly to devices such as MOS transistors.

This similarity lies in the fact that in such a transistor, based on the phenomenon

electric polarization in an electric field, a spatial

charge and a transition occurs from an electrically neutral state to an electrically

charged. The strong dependence of the concentration of electrical

charges in a semiconductor depending on temperature. These work on this principle

devices such as semiconductor temperature sensors. In the considered

In this article, the groove configuration of the object leads to uneven

distribution of electric charges on the surface of the plate with increasing

temperatures: charges gravitate towards areas located around the grooves,

since it is energetically more favorable for them to be in the groove zone than on

surface (Fig. 3). This results in the apparent temperature at the center

the plates are higher than at its periphery. The experiment used

periodic heating using a Peltier element. Surface reaction

plates were recorded using a thermal imager Testo 890. Measured

surface temperature field. When heated, the surface begins to emit

42

electromagnetic radiation according to Planck's law of radiation. Since

the maximum temperature of the plate during heating did not exceed 50 °C, This

The radiation lies in the infrared range. To determine the temperature by

this radiation requires a device with infrared sensitivity –

thermal imager Thermal imager Testo 890 used to measure temperature

resonator surface fields during heating and cooling. Heating and cooling

controlled using a Peltier element. It turned out that the measured

the temperature values ​​of the central part of the resonator (with relief) are significantly

exceed the temperature of its peripheral part. However, in

in reality all parts of the plate have the same or at least,

close values. This can only be explained by the fact that the absorption coefficient

the central part of the plate with a relief significantly higher than the coefficient

absorption of the peripheral part (Fig. 8). This result cannot be explained

solely by the presence of radiation-absorbing grooves, since their width

0,2 microns and a depth of 0.8 microns do not allow them to absorb in the wavelength range, in

which is sensitive Testo 890 (8 – 13 µm). However, the surface topography,

provides good absorption in the sub-micrometer wavelength range.

However, grooves with a width and depth of the order of fractions of a micrometer are not capable of

absorb radiation in the range from 8 to 13 microns, within which

sensitive Testo 890. This suggests the existence of another mechanism

absorption. It can be explained by electron absorption (Seeger, 1982),

the concentration of which in the central part of the grooved plate is significantly

higher than in peripheral parts. Experimental results are clear

confirm this. These IR images show that the central

part of the resonator, together with its relief, has the same temperature as

Peltier battery surface.

The prototype of the device, considered at the previous stage, passed

modernization and assembled into a headband printed using 3D- print.

The result obtained with its help is given.

To study the distribution of electromagnetic field power Wi-Fi V

indoors, a device layout based on the module was developed ESP-12F (family

ESP8266). The principle of its operation is based on measuring the level of received

43

signal – RSSI (Received Signal Strength Indicator), expressed in decibels

relative to 1 mW (dBm). This parameter reflects the intensity

electromagnetic field at the receiver location.

44

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ENGEKON. Series: Technical Sciences. T. 19. – 2007. – № 16. – WITH. 199.

2. Lukyanov G., Kopyltsov A. Mathematical Modelling Of Interaction Of

Electromagnetic Radiation With The Surface Having The Self -Affine Bas-Relief /

Lukyanov G. , Kopyltsov A. [Text] // 4TH International Conference on Physics and

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Italy; International Physics and Control Society (IPACS), 2009. – WITH. 1-5.

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Ring Grooves to Electromagnetic Radiation. , ICICT 2022, Vol.1, 2022, pp. 85-92.

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