Inhomogeneous broadening in the time domain: Gauss–Lorentz, Gauss–Drude and Gauss–Debye material models
Ludmila J. Prokopeva, Alexander V. Kildishev
TL;DR
This paper introduces a new theoretical framework for modeling material responses with non-Lorentzian broadening, enabling accurate simulations in various wave propagation fields.
Contribution
A causal and physically consistent framework for inhomogeneous broadening using spectral diffusion and a novel semi-analytical approximation method (MiMOSA).
Findings
The framework accurately models lineshapes from multiple broadening mechanisms.
MiMOSA generates efficient numerical stencils for time-domain Maxwell solvers.
The models are applicable to diverse fields like acoustics, magnonics, and quantum technologies.
Abstract
Forty-five years after the initial attempts – first by Efimov–Khitrov in 1979, then by Brendel–Bormann in 1992 – we present a comprehensive, causal, and physically consistent framework for modeling the dielectric function with inhomogeneous (non-Lorentzian) broadening, where scattering becomes frequency- or time-dependent. This theoretical framework is based on spectral diffusion, described in the frequency domain by a complex probability density function and in the time domain by a matching characteristic function. The proposed approach accurately models the lineshapes resulting from multiple broadening mechanisms and enables the retrieval of intrinsic homogeneous linewidths as well as inhomogeneous disorder-controlled material dispersion features. To implement the new general dispersion function in time-domain Maxwell solvers, we have designed a constrained minimax-based…
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Taxonomy
TopicsSeismic Waves and Analysis · Electromagnetic Simulation and Numerical Methods · Lightning and Electromagnetic Phenomena