Publication Details
Title: Computer Simulation of the Response of a Semiconductor Wafer with a Self-Affine Pattern in the Form of a System of Coupled Ring Grooves to Electromagnetic Radiation
Authors: Gennadi Lukyanov, Alexander Kopyltsov, Igor Serov
Published in: Proceedings of Seventh International Congress on Information and Communication Technology (ICICT 2022), Lecture Notes in Networks and Systems, vol. 447, pp. 85–91. Springer Nature Singapore, 2023.
DOI: 10.1007/978-981-19-1607-6_7
Study Overview
This peer-reviewed Springer paper simulates the electromagnetic response of the LIFETUNE resonator: a 20×20 mm silicon wafer with a pattern of annular grooves (0.2 μm wide, 0.8 μm deep) constructed via affine transformations to produce a self-affine, scale-invariant surface. The study models the interaction of an incident electromagnetic wave with this surface using a two-dimensional, non-stationary physical model, characterizing how the resonator converts and redistributes electromagnetic energy.
Research Team
| Researcher | Institution |
|---|---|
| Gennadi Lukyanov (lead) | ITMO University, St. Petersburg, Russia |
| Alexander Kopyltsov | Saint Petersburg State University of Aerospace Instrumentation |
| Igor Serov | Human Genome Research Foundation, St. Petersburg, Russia |
Physical Model
The LIFETUNE resonator surface is self-affine by construction: built through repeated affine transformations (rotation, scaling) of a base circle, yielding a pattern with self-similarity and scale invariance. This is analogous to diffraction gratings and fractal antenna structures, but constructed from iterative affine geometry rather than iterative function systems.
When an electric field interacts with the silicon wafer, it induces electric polarization in the semiconductor — the same mechanism underlying MOS FET and CCD devices. Because the plate is thinner in the “groove” regions, charge carrier concentration is higher there than in neighboring smooth-surface regions, creating a spatially non-uniform charge distribution that mirrors the self-affine relief pattern.
Key Findings
Relationship to Other Studies
This paper directly builds on Kopyltsov, Lukyanov & Serov (2007), which established the foundation of coherent electromagnetic emission from self-affine semiconductor surfaces. The 2022 ICICT paper extends that work specifically to the LIFETUNE resonator geometry and provides a Springer peer-reviewed record of the simulation results that the internal C16S/C28S/C32S/64P1S5G lab reports had developed in more applied form. In 2023, Lukyanov presented a complementary experimental study at ICICT using thermal imaging, independently confirming the charge concentration predictions of the simulation model.
Related Research
- ITLMS 2018 — external peer-reviewed study of same fractal mechanism at GHz frequencies
- C16S Lab Report (2018) — same mechanism, internal simulation detail
- 64P1S5G Lab Report (2020) — 28 GHz 5G simulation, same team
- Serov et al. — Computer Simulation of Resonator Response
- → Researcher profile: Gennadi Lukyanov
- → Researcher profile: I. Serov