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Saddle point method for transient processes in waveguides
preprintposted on 2023-01-11, 22:15 authored by A. V. Shanin, A. I. Korolkov, K. S. Kniazeva
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.