Photon generation in resonator with time dependent boundary conditions

Abstract

We present a simulation of Casimir field generation in the 1D cavity with moving walls and arbitrary variation of boundary conditions. We design a numerical scheme based on the finite element method and compare photon generation due to variation of the geometry of the cavity and due to perturbation of the boundary conditions.

Corrugated non-stationary optical fiber

“…Interesting theoretical and experimental results concerning to the propagation of electromagnetic waves in inhomogeneous or corrugated optical fibers were obtained [6][7][8][9][10]. The problems of such type are intensively studied last decade [11][12][13][14][15]. In some cases, the inhomogeneity can be described as periodic perturbation along the optical fiber axis (analogously to internal waves in the ocean [1]).…”

A time-dependent metric graph with a fourth-order operator on the edges

“…Recently, great attention has been devoted to time-depending metric graphs, i.e. graphs having characteristics (e.g., edge lengths) varying in time [9][10][11][12][13][14][15][16]. This problem is in relation to time-dependent boundary conditions and time dependent potentials [17][18][19][20][21].…”