Abstract
The case of two parallel infinite dielectric cylinders, of equal diameter and dielectric constant, illuminated by a plane electromagnetic wave is studied. The scattered electric and magnetic fields from both cylinders can be expressed as infinite series involving Hankel functions, and the coefficients of both satisfy coupled systems (which involve Bessel and Hankel functions). It is shown how these systems can be decoupled, and then, in turn, solved explicitly by successive approximations. Under explicit conditions on the physical parameters of the problem, uniform convergence of the successive approximation series is rigorously proven. This is achieved by utilizing certain bounds on Bessel and Hankel functions, which are derived from asymptotic and integral representations.
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.
