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Evaluations of a Class of Integrals That Arise in Wave Scattering Problems by Using the Taylor Product Theorem

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Taylor product theorem is applied to the evaluation of a class of integrals that arise in high-frequency wave scattering problems. We expand a term $1/(t^{2}+1)$ under the integral into exponentiated… Click to show full abstract

Taylor product theorem is applied to the evaluation of a class of integrals that arise in high-frequency wave scattering problems. We expand a term $1/(t^{2}+1)$ under the integral into exponentiated powers of $t$ that are suitable for term-by-term integrations. We utilize the expansion in an example and make accuracy and speed analysis.

Keywords: integrals arise; product theorem; taylor product; wave scattering; class integrals; scattering problems

Journal Title: IEEE Transactions on Antennas and Propagation
Year Published: 2018

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