International Conference «Mathematical and Informational Technologies, MIT-2011»
(IX Conference «Computational and Informational Technologies for Science,
Engineering and Education»)

Vrnjacka Banja, Serbia, August, 27–31, 2011

Budva, Montenegro, August, 31 – September, 5, 2011

Bejtovic M.   Djurdjevic D.  

A comparison between implicit ADI-FDTD and LOD-FDTD algorithms in photonics design

Reporter: Bejtovic M.

     The Finite-Difference Time-Domain (FDTD) method is a well-known numerical simulation technique for solving a wide range of problems in electromagnetics, photonics and optoelectronics. An intrinsic property of the FDTD method is that the time –domain field simulation run-times are inversely proportional to the time-step size used; therefore huge computational resources are often required.
      Standard explicit FDTD algorithms (such as leap-frog algorithm) are limited in time-step size (due to the Courant-Friedrich-Levy stability conditions) and replaced today with the Altering-Direction-Implicit (ADI-FDTD) and the Locally-One-Dimensional (LOD-FDTD) implicit approaches. Implicit FDTD algorithms offer unconditionally stable time-domain field simulations even when the stability conditions are exceeded.
      In this paper a comparison between ADI and LOD-FDTD methods has been made on the basis of the field simulations performed in design of the practical photonic structures. The presented simulation results show that both of implicit approaches maintain stability and accuracy in simulations, although the LOD algorithm seems to be simpler to implement in program code.

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