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Numerical investigation of the resonance modes for the dielectric optical micro-spheres by using radial basis function method

Author

Listed:
  • Can Ertugay

    (Department of Physics, Akdeniz University, 07058 Antalya, Turkey)

  • Ismail Boztosun

    (Department of Physics, Akdeniz University, 07058 Antalya, Turkey)

Abstract

In this paper, we present a numerical meshless method, which is based on the radial basis functions (RBF), to solve the morphology-dependent resonance (MDR) modes of a dielectric micro-sphere. To check the accuracy of the considered RBF method, we calculated the transverse electric (TE) and transverse magnetic (TM) modes of a perfect sphere that has an analytical characteristic equation. Besides, we employed the traditional mesh-dependent finite difference (FD) method to study the same problem. When we compared the results obtained by the three methods, we observe that the RBF method’s results are in very good agreement with the analytical and FD method’s results. We conclude that the presented meshless method may also be applicable to prolate and oblate spheroidal geometries, which do not have an analytical equation to calculate the modes.

Suggested Citation

  • Can Ertugay & Ismail Boztosun, 2022. "Numerical investigation of the resonance modes for the dielectric optical micro-spheres by using radial basis function method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 33(10), pages 1-10, October.
    • Handle: RePEc:wsi:ijmpcx:v:33:y:2022:i:10:n:s0129183122501406
    DOI: 10.1142/S0129183122501406
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