介电常数具有时间不连续的层状微盘谐振器的早期时间场

N. Sakhnenko, Alexander Nerukh
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摘要

本文考虑由一组具有时变介电常数的同心圆组成的圆腔。我们探讨了瞬态是如何从发生在多个介电界面的反射的复杂相互作用中演变而来的。通过对波动方程直接应用拉普拉斯变换,并施加相应的初始条件和边界条件,得到了电场分量的封闭解。
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Early Time Fields in Stratified Microdisk Resonators with Time Discontinuity in Permittivity
In this paper we consider circular cavity consisting of a set of concentric rings with time varying dielectric permittivity. We explore how the transients evolve from the complex interaction of reflections occurring at the multiple dielectric interfaces. A closed form solution is obtained for the electric field component by applying the Laplace transform directly to the wave equation and enforcing the corresponding initial and boundary conditions.
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