TL;DR
This paper develops an asymptotic method for electromagnetic wave scattering by small bodies, simplifying the problem to linear algebra and deriving equations for effective medium properties.
Contribution
It introduces a novel asymptotic approach that reduces complex scattering problems to linear algebra, bypassing integral equations for multiple small bodies.
Findings
Derived a Fredholm second-kind integral equation for EM scattering.
Solved the scattering problem asymptotically as body size tends to zero.
Outlined a method to engineer desired refraction coefficients.
Abstract
A reduction of the Maxwell's system to a Fredholm second-kind integral equation with weakly singular kernel is given for electromagnetic (EM) wave scattering by one and many small bodies. This equation is solved asymptotically as the characteristic size of the bodies tends to zero. The technique developed is used for solving the many-body EM wave scattering problem by rigorously reducing it to solving linear algebraic systems, completely bypassing the usage of integral equations. An equation is derived for the effective field in the medium, in which many small particles are embedded. A method for creating a desired refraction coefficient is outlined.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.