EMG 25(1) #37057 Electromagnetics, 25:21–38, 2005 Copyright © 2005 Taylor & Francis Inc. ISSN: 0272-6343 print/1532-527X online DOI: 10.1080/02726340590522111 Scattering of Plane Waves at the Junction of Two Corrugated Half-Planes A. HAMIT SERBEST Department of Electrical and Electronics Engineering Çukurova University Adana, Turkey ALI KARA Department of Electrical and Electronics Engineering Atilim University Ankara, Turkey ERNST LÜNEBURG EML Consultants Georg Schmid Weg 4, 83324 Wessling, Germany In this paper, the boundary conditions given by Weinstein (1969) are employed to simulate two corrugated half-planes with the same slot height but different slot width. The scattering mechanism at the junction of these half-planes is investigated via the Fourier transform technique, which leads to two coupled Wiener–Hopf equations. The solution of the Wiener–Hopf system is obtained by the Daniele–Khrapkov method and some numerical results are presented about the analysis of the scattered field. Keywords electromagnetic wave diffraction, scattering, high-frequency techniques, anisotropic impedance, corrugated structures Introduction Waveguides with transversely corrugated walls have been used for many years in linear accelerators for both low-loss and high-power applications. Corrugated walls are used in horn antennas also; plane walls of rectangular horns are replaced by corrugated surfaces to improve radiation patterns. Some of the early works in these fields are given by Hougardy and Hansen (1958), Bryant (1969), Dybdal, Peters, and Peake (1971), and Narasimhan and Rao (1973). Corrugated surfaces have also been treated as electromagnetic soft and hard surfaces by filling the corrugations with dielectric materials or choosing suitable corrugation heights at operating frequency (Kildal, 1990). It has been shown that there Received 1 April 2004; accepted 5 August 2004. Address correspondence to Ali Kara, Dept. of Electrical and Electronics Engineering, Atilim University, Kizilcasar Koyu, Golbasi-Ankara, 06836, Turkey. E-mail: akara@atilim.edu.tr 21