Numerical modeling in wave scattering problem for small particles
M. I. Andriychuk (1), A. G. Ramm (2) ((1) Institute of Applied, Problems of Mechanics, Mathematics, NASU, Lviv, Ukraine, (2) Mathematics, Department, Kansas State University, Manhattan, KS, USA)
TL;DR
This paper presents a numerical method for wave scattering by small particles, demonstrating good agreement with theory and enabling the design of materials with specific refraction properties.
Contribution
It introduces a numerical approach for wave scattering in small particles under specific conditions, facilitating material design with targeted optical properties.
Findings
Numerical results align well with theoretical predictions.
Method enables simulation of materials with desired refraction coefficients.
Applicable under assumptions k<<1 and d>>a.
Abstract
A numerical solution to the problem of wave scattering by many small particles is studied under the assumption k<<1, d>>a, where a is the size of the particles and d is the distance between the neighboring particles. Impedance boundary conditions are assumed on the boundaries of small particles. The results of numerical simulation show good agreement with the theory. They open a way to numerical simulation of the method for creating materials with a desired refraction coefficient.
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.
Taxonomy
TopicsElectromagnetic Scattering and Analysis · Electromagnetic Simulation and Numerical Methods · Microwave Imaging and Scattering Analysis