Difficulties faced by Yee's scheme in photonics problems

Popular Yee's scheme for the FDTD method faces a number of difficulties for problems in layered media: if dielectric permittivity is discontinuous, the accuracy strongly deteriorates, if magnetic permeability is also discontinuous at the same points, the scheme does not allow to perform computation. We provide rigorous mathematical explanation of these difficulties and show them to have fundamental nature. For problems involving dielectric media interfaces, we propose technique allowing to improve the accuracy. © 2020 IOP Publishing Ltd.

Authors
Dombrovskaya Zh.O.1 , Belov A.A. 1, 2
Conference proceedings
Journal of Physics: Conference Series
Publisher
Institute of Physics Publishing
Number of issue
1
Language
English
Status
Published
DOI
10.1088/1742-6596/1461/1/012032
Number
012032
Volume
1461
Year
2020
Organizations
  • 1 Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory, 1, Moscow, Russian Federation
  • 2 Peoples' Friendship University of Russia (RUDN), Miklukha-Maklaia str., 6, Moscow, Russian Federation
Keywords
Finite difference time domain method; Permittivity; Dielectric media; Dielectric permittivities; Layered media; Same points; Magnetic permeability
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/64825/
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