Scattering in Time-Varying Drude-Lorentz Models

Fuente: arXiv
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Autori principali: Dixon, Bryce, Hooper, Calvin M., Hooper, Ian R., Horsley, Simon A. R.
Natura: Preprint
Pubblicazione: 2025
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author Dixon, Bryce
Hooper, Calvin M.
Hooper, Ian R.
Horsley, Simon A. R.
author_facet Dixon, Bryce
Hooper, Calvin M.
Hooper, Ian R.
Horsley, Simon A. R.
contents Motivated by recent experiments, the theoretical study of wave propagation in time varying materials is of current interest. Although significant in nearly all such experiments, material dispersion is commonly neglected in theoretical studies. Yet, as we show here, understanding the precise microscopic model for the material dispersion is crucial for predicting experimental outcomes. Here we study the temporal scattering coefficients of four different time-varying Drude-Lorentz models, exploring how an incident continuous wave splits into forward and backward waves due to an abrupt change in plasma frequency. The differences in the predicted scattering are unique to time-varying media, and arise from the exact way in which the time variation appears in the various model parameters. We verify our results using a custom finite difference time domain algorithm, concluding with a discussion of the limitations that arise from using these models with an abrupt change in plasma frequency.
format Preprint
id arxiv_https___arxiv_org_abs_2511_19322
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Scattering in Time-Varying Drude-Lorentz Models
Dixon, Bryce
Hooper, Calvin M.
Hooper, Ian R.
Horsley, Simon A. R.
Optics
Other Condensed Matter
Motivated by recent experiments, the theoretical study of wave propagation in time varying materials is of current interest. Although significant in nearly all such experiments, material dispersion is commonly neglected in theoretical studies. Yet, as we show here, understanding the precise microscopic model for the material dispersion is crucial for predicting experimental outcomes. Here we study the temporal scattering coefficients of four different time-varying Drude-Lorentz models, exploring how an incident continuous wave splits into forward and backward waves due to an abrupt change in plasma frequency. The differences in the predicted scattering are unique to time-varying media, and arise from the exact way in which the time variation appears in the various model parameters. We verify our results using a custom finite difference time domain algorithm, concluding with a discussion of the limitations that arise from using these models with an abrupt change in plasma frequency.
title Scattering in Time-Varying Drude-Lorentz Models
topic Optics
Other Condensed Matter
url https://arxiv.org/abs/2511.19322