Lines of Quasi-BICs and Butterworth Line Shape in Stacked Resonant Gratings: Analytical Description
Abstract
:1. Introduction
2. ω—kx Lorentzian Line Shape in a Single Resonant Grating
2.1. Scattering Matrix
2.2. Lorentzian Line Shape in a Symmetric Structure
2.3. Lorentzian Line Shape in a Structure without a Horizontal Symmetry Plane
2.4. Numerical Example
3. ω—kx Resonant Approximation for Stacked Resonant Gratings
4. Butterworth Filters Based on Stacked Resonant Gratings
4.1. Second-Order Butterworth Filter for Temporal Signals
4.2. Fourth-Order Quasi-Butterworth Filter for Spatial Signals
5. BICs and Lines of Quasi-BICs in Stacked Resonant Gratings
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Golovastikov, N.V.; Bykov, D.A.; Bezus, E.A.; Doskolovich, L.L. Lines of Quasi-BICs and Butterworth Line Shape in Stacked Resonant Gratings: Analytical Description. Photonics 2023, 10, 363. https://doi.org/10.3390/photonics10040363
Golovastikov NV, Bykov DA, Bezus EA, Doskolovich LL. Lines of Quasi-BICs and Butterworth Line Shape in Stacked Resonant Gratings: Analytical Description. Photonics. 2023; 10(4):363. https://doi.org/10.3390/photonics10040363
Chicago/Turabian StyleGolovastikov, Nikita V., Dmitry A. Bykov, Evgeni A. Bezus, and Leonid L. Doskolovich. 2023. "Lines of Quasi-BICs and Butterworth Line Shape in Stacked Resonant Gratings: Analytical Description" Photonics 10, no. 4: 363. https://doi.org/10.3390/photonics10040363