Uniform Asymptotic Evaluation of Surface Integrals With Polygonal Integration Domains in Terms of UTD Transition Functions

@article{Carluccio2010UniformAE,
  title={Uniform Asymptotic Evaluation of Surface Integrals With Polygonal Integration Domains in Terms of UTD Transition Functions},
  author={Giorgio Carluccio and Matteo Albani and P. H. Pathak},
  journal={IEEE Transactions on Antennas and Propagation},
  year={2010},
  volume={58},
  pages={1155-1163}
}
The field scattered by a scattering body or by an aperture in the free space (or in an unbounded homogenous medium) can be described in terms of a double integral. In this paper we show how a canonical integral on a polygonal domain, with a constant amplitude function and a quadratic phase variation, can be exactly expressed in terms of special functions, namely Fresnel integrals and generalized Fresnel integrals. This exact reduction represents a paradigm for deriving a new asymptotic… CONTINUE READING
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