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  1. 1 Open Physics

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  1. 1 2009

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  1. 1 Chang K.-H.

  2. 1 Tsaur D.-H.

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Electromagnetic plane-wave scattering from a sectorial groove in a perfectly conducting plane

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Tsaur D.-H., Chang K.-H.
Open Physics
|
2009
|
vol. 7
|
issue 1
160-167
EN
Scattering characteristics of plane waves by a sectorial groove in a perfectly conducting plane are investigated. Both the transverse magnetic (TM) and transverse electric (TE) polarizations of the incident wave are considered. Judicious use of the region-matching technique provides a rigorous series solution to the problem. The analyzed region is separated into two sub-regions by choosing a semi-circular auxiliary boundary. Thefield in each sub-region is expanded as a summationof proper wave functions with unknown coefficients. Enforcing the matching of conditions on the auxiliary boundary and of boundary condition on the circular-arc surface of the groove leads to a linear set of equations and the unknown coefficients are then determined. Numerical results demonstrate the influence of central angles of the sectorial groove on echo width, far-field pattern and near-field distribution. The presented geometry is easily applicable to the design and fabrication of a grating structure for optical switches and tunable filters.
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