General solution to wave propagation in media undergoing arbitrary transient or periodic temporal variations of permittivity
| Autor: | Mohammad Memarian, Mahdi Chegnizadeh, Khashayar Mehrany |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Permittivity
Physics Wave propagation Mathematical analysis Bragg's law Statistical and Nonlinear Physics 01 natural sciences Atomic and Molecular Physics and Optics 010309 optics Formalism (philosophy of mathematics) 0103 physical sciences Energy density Time variations 010306 general physics Frequency modulation Matrix method |
| Zdroj: | Journal of the Optical Society of America B. 35:2923 |
| ISSN: | 1520-8540 0740-3224 |
| DOI: | 10.1364/josab.35.002923 |
| Popis: | A novel and general formulation for wave propagation in time-varying media is presented. Unlike previous reports, our formalism is able to solve propagation in media with arbitrary time variations of permittivity or permeability, for both transient and steady-state periodic variations. The formulation is approximate yet strikingly accurate in most practical cases. The provided closed-form expressions show that the normalized average power after the transition of the permittivity does not depend on the details of the transition, while the energy density does. Some important discussions are made about time-periodic media, and it is shown that there is an accumulation of energy when the temporal equivalent of the Bragg condition is met. All results are validated through comparison against analytical or numerical solutions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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