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Modeling magnetic photonic crystals with lossy ferrites using an efficient complex envelope
Gurpreet Singh1, Eng Leong Tan, Zhi Ning Chen
1School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798. gurp0002@e.ntu.edu.sg
Optics Letters
|April 19, 2011
Summary
We developed an efficient complex-envelope alternating-direction-implicit finite-difference time-domain (CE-ADI-FDTD) method for analyzing magnetic photonic crystals. This method accurately models lossy ferrites, offering a faster alternative to explicit methods.
Area of Science:
- Computational Electromagnetics
- Materials Science
Background:
- Magnetic photonic crystals are crucial for advanced optical devices.
- Analyzing transient behavior in these crystals, especially with lossy ferrites, presents computational challenges.
Purpose of the Study:
- To introduce an efficient complex-envelope alternating-direction-implicit finite-difference time-domain (CE-ADI-FDTD) method.
- To enable accurate transient analysis of magnetic photonic crystals incorporating lossy ferrites.
Main Methods:
- Formulated a first-order differential system in a complex-envelope (CE) form for saturated ferrites with anisotropic permittivity and loss.
- Employed efficient alternating-direction-implicit (ADI) splitting formulas for a concise numerical scheme.
- Validated the CE-ADI-FDTD method against the explicit finite-difference time-domain (FDTD) method.
Main Results:
- The CE-ADI-FDTD method provides a computationally efficient approach for transient analysis.
- The method accurately models saturated ferrites, including anisotropy and loss.
- Performance validation confirmed the efficacy and conciseness of the proposed CE-ADI-FDTD method.
Conclusions:
- The developed CE-ADI-FDTD method is a powerful tool for simulating magnetic photonic crystals with lossy ferrites.
- This efficient method facilitates the design and analysis of novel photonic devices.
