Saddle point method for transient processes in waveguides
Computational Physics
2021-03-12 v1 Optics
Abstract
A modification of the saddle point method is proposed for computation of non-stationary wave processes (pulses) in waveguides. The dispersion diagram of the waveguide is continued analytically. A set of possible saddle points on the dispersion diagram is introduced. A method of checking whether the particular saddle points contribute terms to the field decomposition is proposed. A classification of the waveguides based on the topology of the set of possible saddle points is outlined.
Cite
@article{arxiv.2103.06537,
title = {Saddle point method for transient processes in waveguides},
author = {A. V. Shanin and A. I. Korolkov and K. S. Kniazeva},
journal= {arXiv preprint arXiv:2103.06537},
year = {2021}
}