TY - JOUR
T1 - Analytical Study of the Propagation Modes into a Perturbed Border Waveguide
AU - Chandia, Kristopher J.
AU - Failla, Roberto
AU - Tellini, Bernardo
AU - Bologna, Mauro
N1 - Publisher Copyright:
© 1963-2012 IEEE.
PY - 2021/2
Y1 - 2021/2
N2 - This article analytically approaches the problem of a propagating wave in a waveguide with a border characterized by an arbitrary angular dependence. We find a relationship between the Fourier coefficients of the function describing the border of the waveguide and the propagation constant beta of the propagating wave. The proposed solution to the problem provides an analytical tool to obtain information about the shape of a waveguide. The analysis of the propagating wave reveals that, from a theoretical point of view, it is possible to partially, or even completely, reconstruct the border of the waveguide.
AB - This article analytically approaches the problem of a propagating wave in a waveguide with a border characterized by an arbitrary angular dependence. We find a relationship between the Fourier coefficients of the function describing the border of the waveguide and the propagation constant beta of the propagating wave. The proposed solution to the problem provides an analytical tool to obtain information about the shape of a waveguide. The analysis of the propagating wave reveals that, from a theoretical point of view, it is possible to partially, or even completely, reconstruct the border of the waveguide.
KW - Helmholtz equation
KW - perturbation theory
KW - wavy boundary metallic waveguide
UR - https://www.scopus.com/pages/publications/85098783835
U2 - 10.1109/TMTT.2020.3041466
DO - 10.1109/TMTT.2020.3041466
M3 - Article
AN - SCOPUS:85098783835
SN - 0018-9480
VL - 69
SP - 1180
EP - 1191
JO - IEEE Transactions on Microwave Theory and Techniques
JF - IEEE Transactions on Microwave Theory and Techniques
IS - 2
M1 - 9295414
ER -