论文信息 - Comparison between two asymptotic methods

Comparison between two asymptotic methods

Two complete asymptotic expansions of an integral with many simple pole singularities and a first-order, isolated, saddle point evaluated by two different methods are compared. It is shown that both expansions are exactly the same (term by term) inside and outside the transition regions.

Roberto G. Rojas | R. Rojas

[1] P. Clemmow. SOME EXTENSIONS TO THE METHOD OF INTEGRATION BY STEEPEST DESCENTS , 1950 .

[2] Giuseppe Pelosi,et al. High-frequency scattering from the edges of impedance discontinuities on a flat plane , 1983 .

[3] M. I. Herman,et al. A uniform asymptotic evaluation of integrals , 1986, Proceedings of the IEEE.

[4] Y Rahmat-Samii,et al. Comparison of two leading uniform theories of edge diffraction with the exact uniform asymptotic solution , 1980 .

[5] N. Bleistein. Uniform Asymptotic Expansions of Integrals with Many Nearby Stationary Points and Algebraic Singularities , 1967 .

[6] C. Gennarelli,et al. A uniform asymptotic expansion of a typical diffraction integral with many coalescing simple pole singularities and a first-order saddle point , 1984 .

[7] R. Kouyoumjian,et al. A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface , 1974 .

[8] E. Yip,et al. Comparison of uniform asymptotic expansions of diffraction integrals , 1987 .