Russian-German Conference on Biomedical Engineering: Aires EMR Research (2016)

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Regional Informatics and Information Security. Collected Papers. Issue 2. Saint Petersburg Society for Informatics, Computer Engineering, Communications and Control Systems. – Saint Petersburg, 2016, pp. 383–387

UDC 57.054

DISTRIBUTED COMPUTING OF INTERACTION OF ELECTROMAGNETIC

RADIATION WITH A STRUCTURED SURFACE

Kopyltsov Aleksandr Vasilyevich1, Korshunov Konstantin Aleksandrovich2,

Lykianov Gennady Nikolayevich3, Serov Igor Nikolayevich2

1The Saint Petersburg Eletrotechnical University ("LETI"), Russia, Saint Petersburg, Professor Popov str., 5, 2AIRES Foundation, Russia, Saint Petersburg, Vyborgskaya emb., 61,

3Saint Petersburg National Research University of Information Technologies, Mechanics and Optics, Saint Petersburg, Kronverksky pr., d. 49, e-mails: kopyl2001@mail.ru, devpro@matrix.com.ru, gnluk@rambler.ru, foundation@aires.spb.ru

Abstract: The article deals with the problems of interaction of electromagnetic radiation with plates structured in a certain way (AIRES resonators). Radiation falls on the plate, and free electrons emerging on the plate, diffraction and mirroring generate converted radiation in the surrounding space, which is different from the radiation falling on the plate. A mathematical model has been built and estimations have been made using a cluster of highly productive parallel computations that showed that the resulting radiation differs significantly from the radiation falling on the plate, namely it has fractal self-similarity, and a powerful wave of radiation is generated above the central part of the plate. An AIRES resonator can be used for protection against surrounding electromagnetic radiation coming from, for instance, consumer devices, such as telephones, microwaves, refrigerators etc.

Keywords: electromagnetic radiation; interaction with matter; math modeling; distributed computing

DISTRIBUTED COMPUTING OF INTERACTIONS OF ELECTROMAGNETIC RADIATION WITH A STRUCTURED SURFACE

Alexandr Kopyltsov1, Konstantin Korshunov2, Gennady Lukianov3, Igor Serov2

1The St. Petersburg State Electrotechnical University "LETI",

Russia, St. Petersburg, Professor Popov str., 5,

2Found «AIRES», Vyborgskaya emb, 61, 3St. Petersburg National Research University of Information Technologies,

Mechanics and Optics, Russia, St. Petersburg, Kronverksky av., 49, e-mails: kopyl2001@mail.ru, devpro@matrix.com.ru, gnluk@rambler.ru, foundation@aires.spb.ru

Abstract: The article deals with the problem of interaction of electromagnetic radiation with a certain way structured plates (resonators "AIRES"). The radiation incident on the plate and by forming the plate into the free electrons, diffraction and reflection mirror, in the surrounding space creates the converted radiation differs from that incident on the plate. A mathematical model and calculations on a cluster for high performance parallel computing, which showed that the resulting radiation is significantly different from the incident on the plate, in particular, it has a fractal self-similarity and the central part of the plate forms a powerful wave radiation. Resonator "AIRES" can be used for protection against electromagnetic radiation around us originating, for example, from household appliances, such as telephones, microwave - ovens, refrigerators and others.

Keywords: electromagnetic radiation; interaction with matter; math modeling; distributed computing

Introduction The surface of AIRES resonators is made in the shape of curvilinear slits (circular grooves), whose pattern adheres to the laws of self-similarity and scale invariance and is based on affine transformations. The AIRES resonator is made on a silicon substrate (7.5 mm in diameter and 1 mm thick), on whose surface there is a complex system of 1 mcm wide and 1.2 mcm deep circular grooves with a rectangular cross-section, which make up a regular self-affine structure. The substrate can be made of silicon as well as laminated fabric and other materials. The substrate can have any diameter and thickness, and the grooves any width and depth. Electric field interacting with the semiconductor causes the phenomenon of charge shift, and because the plate is thinner in the slit area, the concentration of charge carriers will be significantly higher in the slits than in the neighboring areas [1], [2], [3], [4], [5], [6], [7], [8], [9].

The electric charge distribution on the surface of a resonator with allowances for its relief, as well as electric field intensity above the resonator's surface were simulated. The simulation implied that charge carriers were concentrated in the slits. Moreover, it is supposed that if the charge density in two neighboring

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Model Description. In simulation, the conservation law for electrons and holes can be written down as follows:

where n is free electron concentration, np is hole concentration, nA is atom concentration, ye is degree of saturation of atoms with electrons, yp is degree of saturation of atoms with holes, Ve is velocity vector of active electron transport, Vp is velocity vector of active hole transport, De is electron diffusion constant, Dp is hole diffusion constant, q is the appearance rate of free electrons and holes, ae , ap be , bp are factors.

In the present case:

Electron oscillation rate in an evenly charged plate

If a wave falls on the plate:

of light, me is electron mass [10].

The first addend is due to reflection, the second one is due to free electrons. For holes, 0 E ∆ can be

estimated using a formula similar to that of electrons.

If there are narrow slits on the plate surface, the following diffraction has to be factored in:

Wave intensity is proportional to the amplitude squared [10], hence

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where reflection E is due to reflection, electrons E is due to free electrons, holes E is due to holes,

diffraction E is due to diffraction (if there are narrow slits).

In this case, if the influence of holes is ignored, the simultaneous equations are follows:

e e e e e n z n y n x n t n b - ) ( D ) z En y En x En ( - q 2

where b is the factor,

Solving these simultaneous equations using numerical techniques, with relevant initial and boundary conditions, one can find distributions en (in the plate) and E (in space). Calculations were done on a cluster

of highly productive parallel computations with different values of initial and boundary conditions. Thus, when calculations were done on a 201 by 201 mcm square matrix in a 200 mcm tall cube, it was assumed that there was no drain in the center and along the edges. In case of radiation with a frequency of 5 1014 Hz (a wavelength of 0.6 mcm), radiation with a wavelength of approximately 40 mcm was generated above the central part of the plate, whose intensity value exceeded that of the incident radiation by several times (Figure 1).

Conclusion. There has been built a math model of interaction of electromagnetic radiation with a plate on which a pattern has been made in a certain way. The plate is a plate of thin silicon, laminated fabric or another material. The pattern on the plate is made by etching and has the form of rectangular grooves with a depth and width of approximately 1 mcm. The plate is exposed to electromagnetic radiation that causes the plate to emit radiation into the surrounding space; the structure of that radiation is different from that of the radiation falling on the plate. The difference is caused by the fact that, in the simulation, mirroring, free electrons generated in the plate during radiation, and diffraction on the slits were taken into account. Consideration of those parameters ensured distribution of electric field intensity in the surrounding space; the intensity changes regularly over time. The most significant changes are detected above the central part of the plate; they surpassed the characteristics of the incident radiation by several times. This can be

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Figure 1. Change in the value of intensity (V/m) above the central part of the plate (mcm).

explained by the fact that the pattern on the surface of the plate is a set of circles located symmetrically in relation to the center of the plate and by the fact that the material of the plate is selected so that their own oscillation frequency of the intrinsic oscillation frequency of the electrons on the plate and the frequency of the incident radiation have close values. The radiation reflected from the plate has such a structure that offers a possibility to decrease the harmful effect of electromagnetic radiation coming from consumer devices, such as mobile phones, microwaves, refrigerators etc., on living organisms.

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