Transmission through cutoffs and resonances in the double phase‐integral approximation

Autor:	Andrzej A. Skorupski
Rok vydání:	1984
Předmět:	Reflection (mathematics) Transmission (telecommunications) Wave propagation Mathematical analysis Cutoff Order (group theory) Resonance Statistical and Nonlinear Physics Type (model theory) Wave equation Mathematical Physics Mathematics
Zdroj:	Journal of Mathematical Physics. 25:2655-2661
ISSN:	1089-7658 0022-2488
Popis:	Using the double phase‐integral approximation technique developed earlier for the wave equation d2ψ/dz2+Q2(z) ψ=0, we derive analytical formulas for the reflection (R), transmission (T), and absorption (A) coefficients. They are valid to arbitrary order in the expansion parameter, for functions Q2(z) having either two cutoffs or one cutoff and one resonance. For two examples of this type the formulas for R, T, and A are checked against numerical results, using approximations up to fifth order.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a8920242841b1d6bd46186b194abb2b1 https://doi.org/10.1063/1.526496 Zobrazit plný text záznamu