The Ludwig integration algorithm for triangular subregions
暂无分享,去创建一个
The well-known Ludwig algorithm for numerical treatment of integrals with oscillatory integrands using rectangular subregions is modified so as to make use of triangular subregions. Algebraic expressions are given suitable for programming into a numerical integration subroutine. All of the advantages of the Ludwig scheme are retained.
[1] H. H. Hopkins,et al. RESEARCH NOTES: The Numerical Evaluation of the Frequency Response of Optical Systems , 1957 .
[2] A. Ludwig,et al. Computation of radiation patterns involving numerical double integration , 1968 .
[3] D. Wilton,et al. Electromagnetic scattering by surfaces of arbitrary shape , 1980 .
[4] J J Stamnes,et al. Diffraction by circular apertures. 1: Method of linear phase and amplitude approximation. , 1982, Applied optics.