A fast and efficient approach for calculating electric fields with application to topology optimization of microdevices.

Cover Page

Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

A new numerical approach is proposed for fast and efficient calculation of electric waves, passing through wave microdevices using the Helmholtz equation. The efficiency, speed and accuracy of this approach are investigated.

About the authors

Iu. B. Minin

Kotelnikov Institute of Radioengineering and Electronics, Russian Academy of Sciences, Fryazino Branch

Author for correspondence.
Email: Iurii.Minin@skoltech.ru
Fryazino, Moscow oblast, 141190 Russia

References

  1. Bendsoe M.P., Sigmund O. Topology Optimization: Theory, Methods and Applications. Berlin: Springer Sci. & Business Media, 2003.
  2. Bannister J., Fratta L., Gerla M. // Proc. EFOC/LAN'90. Munich, 27–29 Jul. 1990. Boston: IGI Europe, 1990. P. 53.
  3. Jensen J.S., Sigmund O. // Laser & Photonics Rev. 2011. V. 5. № 2. P. 308.
  4. Andonegui I., Calvo I., Garcia-Adeva A.J. // Appl. Phys. A. 2014. V. 115. P. 433.
  5. Minin I.B., Nuzhin E.E., Boyko A.I. et al. // 2018 Engineering and Telecommun. (EnT-MIPT). Moscow. 15–16 Nov. N.Y.: IEEE, 2018. P. 146.
  6. Dickinson E.J.F., Ekström H., Fontes E. // Electrochemistry Commun. 2014. V. 40. P. 71.
  7. Oskooi A.F., Roundy D., Ibanescu M. et al. // Computer Phys. Commun. 2010. V. 181. № 3. P. 687.
  8. Minin I., Matveev S. // Poster Optica Adv. Phot. Congress 2022. Optica Publ. Group, 2022. P. JTu6B. 6.
  9. Søndergaard T.M. Green’s Function Integral Equation Methods in Nano-Optics. Boca Raton: CRC Press, 2019.
  10. Olshevsky V., Oseledets I., Tyrtyshnikov E. // Linear Algebra Appl. 2006. V. 412. № 1. P. 1.
  11. Minin I., Matveev S. // Poster Laser Congress 2021. Optica Publ. Group, 2021. P. JTu1A.45.
  12. Chu E., George A. Inside the FFT Black Box: Serial and Parallel Fast Fourier Transform Algorithms. Boca Raton: CRC Press, 1999.
  13. Minin I.B., Matveev S.A., Fedorov M.V. et al. // Comp. Math. Modeling. 2021. V. 32. № 4. P. 438.
  14. Марчук Г.И., Кузнецов Ю.А. // Докл. АН СССР. 1968. Т. 181. № 6. С. 1331.
  15. Zacharov I., Arslanov R., Gunin M. et al. // Open Engin. 2019. V. 9. № 1. P. 512.

Supplementary files

Supplementary Files
Action
1. JATS XML
Download

Copyright (c) 2023 Ю.Б. Минин