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Effective permittivities with exact second-order accuracy at inclined dielectric interface for the two-dimensional
Takuo Hirono1, Yuzo Yoshikuni, Takayuki Yamanaka
1NTT Photonics Laboratories, NTT Corporation, 3-1, Morinosato Wakamiya, Atsugi-shi, Kanagawa 243-0198, Japan. hirono-takuo@ntt-el.com
Applied Optics
|March 4, 2010
Summary
Accurate simulations of dielectric interfaces are possible using the finite-difference time-domain (FDTD) method. New effective permittivities provide second-order accuracy for inclined interfaces, improving electromagnetic simulations.
Area of Science:
- Computational Electromagnetics
- Numerical Methods for Wave Propagation
Background:
- Finite-difference time-domain (FDTD) simulations can suffer accuracy loss at dielectric interfaces.
- This degradation is often due to improper handling of interface geometry relative to the simulation grid.
- Accurate modeling of electromagnetic wave interaction with dielectric discontinuities is crucial in many applications.
Purpose of the Study:
- To analytically derive effective permittivities for dielectric interfaces inclined to the Yee-lattice axis.
- To achieve exact second-order accuracy in FDTD simulations at such interfaces.
- To demonstrate the improved accuracy through numerical simulations.
Main Methods:
- Analytical derivation of effective permittivities for inclined dielectric interfaces.
- Application of derived permittivities to nodes near the interface in FDTD simulations.
- Simulation of wave reflection and transmission using the modified FDTD approach.
Main Results:
- Exact second-order accurate effective permittivities derived for inclined interfaces.
- Demonstrated prevention of accuracy degradation at dielectric interfaces.
- Accurate simulation of reflection and transmission coefficients for two specific interface angles (tangent 1 and 1/2).
Conclusions:
- The derived effective permittivities significantly enhance the accuracy of FDTD simulations at inclined dielectric interfaces.
- This method provides a robust solution for modeling wave propagation across complex material boundaries.
- The findings are validated by numerical examples, confirming the second-order accuracy achieved.
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