2020/06/26 by A. I. Korolkov, Korolkov, A. I., А. В. Шанин +3
Engineering · #Electromagnetic Compatibility and Noise Suppression #Electromagnetic Simulation and Numerical Methods #FOS: Physical sciences #Mathematical Physics (math-ph) #Microwave Engineering and Waveguides
paper · pdf · doi:10.48550/arxiv.2006.14990
openalex publication_date 2020/06/26 · openalex created_date 2020/07/02 · openalex updated_date 2026/07/28
A thin two-layered waveguide is considered. The governing equations for this waveguide is a matrix Klein--Gordon equation of dimension~2. A formal solution of this system in the form of a double integral can be obtained by using Fourier transformation. Then, the double integral can be reduced to a single integral with the help of residue integration with respect to the time frequency. However, such an integral can be difficult to estimate since it involves branching and oscillating functions. This integral is studied asymptotically. A zone diagram technique is proposed to represent the set of possible asymptotic formulae. The zone diagram generalizes the concept of far-field and near-field zones.