Excitation of Bound States in the Continuum via Second Harmonic Generations

DOI10.1137/19M1277539zbMath1439.35465arXiv1908.00137MaRDI QIDQ4960419

Ya Yan Lu, Lijun Yuan

Publication date: 16 April 2020

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.00137

zbMATH Keywords

nonlinear opticsHelmholtz equationsharmonic generationbound states in the continuum

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Lasers, masers, optical bistability, nonlinear optics (78A60) Perturbations in context of PDEs (35B20)

Related Items (1)

Acoustics of a Partially Partitioned Narrow Slit Connected to a Half-Plane: Case Study for Exponential Quasi-Bound States in the Continuum and their Resonant Excitation

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Embedded Rayleigh-Bloch surface waves along periodic rectangular arrays
• Guided waves by electromagnetic gratings and non‐uniqueness examples for the diffraction problem
• Second harmonic generation in nonlinear optical films
• Existence theorems for trapped modes
• A Nonlinear Grating Problem in Diffractive Optics
• Resonance and Bound States in Photonic Crystal Slabs
• Spectral Methods in MATLAB
• On the scattering by a biperiodic structure
• Diffractive optics in nonlinear media with periodic structure
• Guided Modes in Periodic Slabs: Existence and Nonexistence

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