W.K.B. method for analysing the electromagnetic field in a circular waveguide with linearly moving boundary

Analytical Method for Solving the One-Dimensional Wave Equation with Moving Boundary

“…In general, however, more general mathematical methods are used for solving such problems [7][8][9][10][11][12][13][14][15][16]. These methods lead to very cumbersome and complex solutions.…”

Nonstationary Casimir Effect and Analytical Solutions for Quantum Fields in Cavities with Moving Boundaries

“…The electromagnetic (better to say, massless scalar) field in one dimensional ideal cavities with periodically moving boundaries were considered in [65][66][67][68][69]. Analytical solutions for the field in circular waveguides with (linearly) moving boundaries were obtained recently in [70,71]. The "dynamical" field modes in the onedimensional and spherical cavities with uniformly moving boundaries were found once more time in [72].…”

Nature of Electromagnetic Field and Energy Behavior in a Plane Resonator with Moving Boundary

“…Many studies have been made in this area employing, in general, approximate mathematical methods [1][2][3][4][5][6][7][8][9][10][11][12][13]. Our main in this work is to analyze the nature of electromagnetic field and the energy behavior in a plane resonator constituted by two parallel, perfectly conducting plates, one of which is moving normally to itself in arbitrary fashion.…”