## The Numerical Steepest Descent Path Method for Calculating Physical Optics Integrals on Smooth Conducting Quadratic Surfaces

- Yu Mao Wu, Li Jun Jiang, Wei E. I. Sha, Weng Cho Chew
- IEEE Transactions on Antennas and Propagation
- 2013

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@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} }

- Published 2010 in IEEE Transactions on Antennas and Propagation

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 asymptoticâ€¦Â CONTINUE READING

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