Open AccessStudy of the energetic field characteristics of the TE-modalwaves in waveguides
Author(s) -
Fatih Erden
Publication year - 2017
Publication title -
turkish journal of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.169
H-Index - 26
eISSN - 1303-6122
pISSN - 1300-0101
DOI - 10.3906/fiz-1605-1
Subject(s) - eigenvalues and eigenvectors , physics , basis (linear algebra) , amplitude , transverse plane , waveguide , field (mathematics) , modal , boundary value problem , mathematical analysis , basis function , classical mechanics , quantum electrodynamics , quantum mechanics , mathematics , geometry , engineering , pure mathematics , polymer chemistry , chemistry , structural engineering
The energetic characteristics of cylindrical medium-free time-domain waveguide fields are solved within the framework of the evolutionary approach to electromagnetics. Solving the boundary-eigenvalue problem for transverse Laplacian yields a configurational basis in the waveguide cross section. Elements of the basis depend on transverse coordinates, whereas the modal amplitudes depend on the longitudinal coordinate, z, and time, t . Solving the resulted Klein–Gordon equation yields a basis for analysis of the modal amplitudes. Exact solutions for the amplitudes of TE-modes are obtained, and the energetic field characteristics are derived in accordance with the causality principle.
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