Quasinormal-mode analysis of grating spectra at fixed incidence angles

Abstract

Grating spectra exhibit sharp variations of the scattered light, known as grating anomalies. The latter are due to resonances that have fascinated specialists of optics and physics for decades and are nowadays used in many applications. We present a comprehensive theory of grating anomalies, and develop a formalism to expand the field scattered by metallic or dielectric gratings into the basis of its natural resonances, thereby enabling the possibility to reconstruct grating spectra measured for fixed illumination angles as a sum over every individual resonance contribution with closed-form expressions. This gives physical insights into the spectral properties and a direct access to the resonances to engineer the spectral response of gratings and their sensitivity to tiny perturbations.

arXiv comment2 figures

References in corpus (6)

• Light interaction with photonic and plasmonic resonances
• Rigorous modal analysis of plasmonic nanoresonators
• Simple analytical expression for the peak-frequency shifts of plasmonic resonances for sensing
• Quasinormal mode solvers for resonators with dispersive materials
• Quasimodal expansion of electromagnetic fields in open two-dimensionnal structures
• Resonant metamaterial absorbers for infrared spectral filtering: quasimodal analysis, design, fabrication and characterization

Cited by in corpus (16)

• Normalization, orthogonality and completeness of quasinormal modes of open systems: the case of electromagnetism
• Quasinormal-mode modeling and design in nonlinear nano-optics
• Shape deformation of nanoresonator: a quasinormal-mode perturbation theory
• Modal analysis of electromagnetic resonators: user guide for the MAN program
• Accidental and symmetry-protected bound states in the continuum in planar photonic-crystal structures, studied by the resonant-state expansion
• Quasi-normal mode theory of the scattering matrix, enforcing fundamental constraints for truncated expansions
• Non-uniqueness of the Quasinormal Mode Expansion of Electromagnetic Lorentz Dispersive Materials
• Resonant-state expansion for planar photonic-crystal structures
• Multiresonant metasurfaces for arbitrarily-broadband pulse chirping and dispersion compensation
• Analytical criteria for designing multiresonance filters in scattering systems, with application to microwave metasurfaces
• Multimode non-Hermitian framework for third harmonic generation in nonlinear photonic systems comprising 2D materials
• Varying the medium surrounding an optical resonator: An efficient and rigorous way to calculate its spectral changes
• Modal Analysis of photonic and plasmonic resonators
• Uncovering hidden resonances in non-Hermitian systems with scattering thresholds
• Hyperboloidal Method for Quasinormal Modes of Non-Relativistic Operators
• Complex modes in an open lossless periodic waveguide