التفاصيل البيبلوغرافية
| العنوان: |
Low-frequency scattering defined by the Helmholtz equation in one dimension. |
| المؤلفون: |
Loran, Farhang (AUTHOR) loran@iut.ac.ir, Mostafazadeh, Ali (AUTHOR) amostafazadeh@ku.edu.tr |
| المصدر: |
Journal of Physics A: Mathematical & Theoretical. 8/6/2021, Vol. 54 Issue 31, p1-16. 16p. |
| مصطلحات موضوعية: |
*ELECTROMAGNETIC wave propagation, *HELMHOLTZ equation, *SCATTERING (Mathematics), *QUANTUM scattering, *TRANSFER matrix, *ABSORPTION coefficients, *SCHRODINGER equation, *SCATTERING (Physics) |
| مستخلص: |
The Helmholtz equation in one dimension, which describes the propagation of electromagnetic waves in effectively one-dimensional systems, is equivalent to the time-independent Schrödinger equation. The fact that the potential term entering the latter is energy-dependent obstructs the application of the results on low-energy quantum scattering in the study of the low-frequency waves satisfying the Helmholtz equation. We use a recently developed dynamical formulation of stationary scattering to offer a comprehensive treatment of the low-frequency scattering of these waves for a general finite-range scatterer. In particular, we give explicit formulas for the coefficients of the low-frequency series expansion of the transfer matrix of the system which in turn allow for determining the low-frequency expansions of its reflection, transmission, and absorption coefficients. Our general results reveal a number of interesting physical aspects of low-frequency scattering particularly in relation to permittivity profiles having balanced gain and loss. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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