Journal
IEEE JOURNAL OF QUANTUM ELECTRONICS
Volume 42, Issue 3-4, Pages 266-279Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JQE.2005.862038
Keywords
Bragg scattering; design automation; design methodology; electromagnetic scattering by periodic structures; integrated optics; optical propagation in nonhomogeneous media; optimization methods; periodic structures; photonic crystals; Wannier functions
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We present a set of modeling, sensitivity analysis, and design optimization methods for photonic crystal structures based on Wannier basis field expansion and efficient matrix analysis techniques. We develop the sensitivity analysis technique to analyze both refractive index perturbations and dielectric boundary shift perturbations. Our modeling method is similar to 1000x faster than finite-difference time-domain (FDTD) for searching through a large number of similar device designs. We show that our optimization techniques, relying on the efficiency of the modeling and sensitivity analysis methods, enable systematic global and local optimizations of integrated optical components. We show that our design method can be controlled to favor designs without high-energy build-ups, potentially making them more fabrication-error tolerant. We present design examples and verify our designs with FDTD calculations.
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