Abstract
A technique is presented to solve a class of second‐order functional difference equations that arise in diffraction theory. Branch‐free solutions are obtained by linearly combining branched functions satisfying first‐order equations derived from the second‐order difference equation. The approach used is conceptually simple, and the underlying analysis is relatively straightforward. Analysis and computations both demonstrate that the resulting solutions have the desired analytical properties and recover the known expressions in the proper limit.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.