Abstract
This paper aims to provide a tutorial on Bessel functions, and especially on the numer cal evaluation of Bessel integrals. Bessel integrals are asymptotically evaluated using high-frequency methods, such as the tationary-phase method, steepest-descent path evaluations, and uniform asymptotics. Concepts such as saddle points and their contributions, and integration over the steepest paths are emphasized. A MATLAB simulation package, BESSEL_GUI, was prepared to compare each method with the other, and also with the MATLAB built-in function besselj (v, z). The tool also allows plotting the magnitude of the complex integrand of the Bessel integral in three dimensions. The user can thus visualize the locations of the saddle points and the steepest-decent paths.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
