Version 1
: Received: 9 October 2024 / Approved: 11 October 2024 / Online: 14 October 2024 (03:32:39 CEST)
How to cite:
Meklachi, T. A Breakthrough in Resonance Analysis for Complex Multilayered Structures in Small, High-Contrast Nonlinear Media with Kerr Effect. Preprints2024, 2024100869. https://doi.org/10.20944/preprints202410.0869.v1
Meklachi, T. A Breakthrough in Resonance Analysis for Complex Multilayered Structures in Small, High-Contrast Nonlinear Media with Kerr Effect. Preprints 2024, 2024100869. https://doi.org/10.20944/preprints202410.0869.v1
Meklachi, T. A Breakthrough in Resonance Analysis for Complex Multilayered Structures in Small, High-Contrast Nonlinear Media with Kerr Effect. Preprints2024, 2024100869. https://doi.org/10.20944/preprints202410.0869.v1
APA Style
Meklachi, T. (2024). A Breakthrough in Resonance Analysis for Complex Multilayered Structures in Small, High-Contrast Nonlinear Media with Kerr Effect. Preprints. https://doi.org/10.20944/preprints202410.0869.v1
Chicago/Turabian Style
Meklachi, T. 2024 "A Breakthrough in Resonance Analysis for Complex Multilayered Structures in Small, High-Contrast Nonlinear Media with Kerr Effect" Preprints. https://doi.org/10.20944/preprints202410.0869.v1
Abstract
Scattering resonances play a crucial role in understanding wave behavior in various physical systems. While significant progress has been made in analyzing resonances in high-contrast and nonlinear media, a general characterization of resonances in small, high-contrast nonlinear media with the Kerr effect, particularly in layered configurations, has remained an open problem. In this paper, we present a novel asymptotic approach that addresses this gap by providing an approximation for resonances in terms of material properties, geometry, and nonlinearity. Our results offer new insights into the dependence of resonances on these factors, particularly for complex multilayered structures, making this the first general characterization of its kind.
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
