Ian Thompson et al 2005 J. Phys. A: Math. Gen. 38 2701 doi:10.1088/0305-4470/38/12/012
Mode generation and diffraction at the aperture of a waveguide
Ian Thompson1, Richard Tew1 and Christos Christopoulos2
Show affiliationsUsing a combination of exact results from diffraction theory and the method of images, we calculate to leading order in the high-frequency limit, the modes excited within a waveguide comprising a pair of semi-infinite parallel half-planes when a wave strikes its aperture. We consider several types of incident field, and the calculation that we present does not rely on any approximations (such as stationary phase or steepest descent integral evaluations) and is somewhat less involved than methods in the existing literature that do so. Furthermore, it permits the consideration of situations in which 'Fresnel' regions propagate within the guide, and of more complicated geometries, whilst retaining its straightforward nature.
- PACS
- MSC
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78A45 Diffraction, scattering (See also 34E20 for WKB methods)
- Subjects
- Dates
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Issue 12 (25 March 2005)
Received 25 October 2004, in final form 12 January 2005
Published 9 March 2005
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Mode generation and diffraction at the aperture of a waveguide
Ian Thompson et al 2005 J. Phys. A: Math. Gen. 38 2701
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