Nonlinear Subwavelength Resonances in Three Dimensions
Copyright policy )Nonlinear Subwavelength Resonances in Three Dimensions
ABSTRACTIn this paper, we consider the resonance problem for the cubic nonlinear Helmholtz equation in the subwavelength regime. We derive a discrete model for approximating the subwavelength resonances of finite systems of high‐contrast resonators with Kerr‐type nonlinearities. Our discrete formulation is valid in both weak and strong nonlinear regimes. Compared to the linear formulation, it characterizes the extra experimentally observed eigenmodes that are induced by the nonlinearities.
- ETH Zurich Switzerland
Wave scattering in solid mechanics, Semilinear elliptic equations, capacitance matrix formalism; cubic nonlinear Helmholtz equation; nonlinearity-induced eigenmode; nonlinear subwavelength physics; nonlinear subwavelength resonance, nonlinear subwavelength resonance, FOS: Physical sciences, cubic nonlinear Helmholtz equation, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Mathematical Physics (math-ph), 35P30, 35C20, 74J20, nonlinearity-induced eigenmode, Asymptotic expansions of solutions to PDEs, capacitance matrix formalism, Resonance in context of PDEs, nonlinear subwavelength physics, Mathematical Physics
Wave scattering in solid mechanics, Semilinear elliptic equations, capacitance matrix formalism; cubic nonlinear Helmholtz equation; nonlinearity-induced eigenmode; nonlinear subwavelength physics; nonlinear subwavelength resonance, nonlinear subwavelength resonance, FOS: Physical sciences, cubic nonlinear Helmholtz equation, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Mathematical Physics (math-ph), 35P30, 35C20, 74J20, nonlinearity-induced eigenmode, Asymptotic expansions of solutions to PDEs, capacitance matrix formalism, Resonance in context of PDEs, nonlinear subwavelength physics, Mathematical Physics
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