Diffraction of a mode close to its cut-off by a transversal screen in a planar waveguide |
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Institution: | INIFTA (UNLP, CONICET), División Química Teórica, Blvd. 113 S/N, Sucursal 4, Casilla de Correo 16, 1900 La Plata, Argentina;Coastal Development & Ocean Energy Research Division, Korea Institute of Ocean Science and Technology, Ansan 426–744, Republic of Korea;Ocean Science & Technology School, Korea Maritime and Ocean University, Busan 606–791, Republic of Korea |
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Abstract: | The problem of diffraction of a waveguide mode by a thin Neumann screen is considered. The incident mode is assumed to have frequency close to the cut-off. The problem is reduced to a propagation problem on a branched surface and then is considered in the parabolic approximation. Using the embedding formula approach, the reflection and transmission coefficients are expressed through the directivities of the edge Green’s function of the propagation problem. The asymptotics of the directivities of the edge Green’s functions are constructed for the case of small gaps between the screen and the walls of the waveguide. As the result, the reflection and transmission coefficients are found. The validity of known asymptotics of these coefficients is studied. |
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Keywords: | Waveguides Scattering Cut-off frequency Embedding formula Spectral equation |
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