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Effects of surface roughness on TM modes in rectangular waveguide. (English) Zbl 1204.78014

Summary: By using a rigorous numerical technique that is applicable to calculations of modes in waveguides for the TM case, the effects of the periodic rectangular, triangular, sinusoidal, and Gaussian random rough surface on the rectangular waveguide are discussed. The effects of the parameters of the roughness on the mode cutoff frequencies and field distribution are considered, including the height, width, and period of the grooves, the standard deviation of height and correlation length of the Gaussian roughness.

MSC:

78A50 Antennas, waveguides in optics and electromagnetic theory
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
60J70 Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.)
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References:

[1] Chen, Full-wave analysis of a lossy rectangular waveguide containing rough inner surfaces, IEEE Microwave Guided Wave Letters 2 pp 180– (1992)
[2] Popalghat, Effect of surface roughness on electromagnetic propagation through waveguides, Indian Journal of Pure and Applied Physics 37 pp 848– (1999)
[3] Mendoza-Suárez, Numerical technique to calculate modes in waveguides of arbitrarily cross-sectional shape, Journal of Optical Society of America A 18 pp 961– (2001)
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[5] Mendoza-Suárez, Effects of wall random roughness on TE and TM modes in a hollow conducting waveguide, Optical Communications 238 pp 291– (2004)
[6] Press, Numerical Recipes in FORTRAN (1992)
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