Theory of axially symmetric cusped focusing: numerical evaluation of a Bessoid integral by an adaptive contour algorithm

DOI10.1088/0305-4470/33/26/306zbMath0972.65017OpenAlexW2044234372MaRDI QIDQ4526117

N. P. Kirk, C. A. Hobbs, J. N. L. Connor, Peter R. Curtis

Publication date: 19 November 2001

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/33/26/306

zbMATH Keywords

tablesadaptive algorithmaxial symmetrycontour plotscuspoid canonical integralsPearcey's integralBessoid canonical integral

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Other functions defined by series and integrals (33E20) Numerical approximation and evaluation of special functions (33F05) Physical optics (78A10)

Related Items

Multi-point Taylor expansions of analytic functions, Theory and numerical evaluation of oddoids and evenoids: oscillatory cuspoid integrals with odd and even polynomial phase functions, Evaluating infinite range oscillatory integrals using generalised quadrature methods, Manipulation and Improvement of Autofocusing Properties for Circular Butterfly Beams