A new method for sensitivity analysis of photonic crystal devices

We present a new method for sensitivity analysis of photonic crystal devices and nanophotonic devices in general. The algorithm is based on the finite-difference frequency-domain method and uses the adjoint variable method and perturbation theory techniques. We show that our method is highly efficient and accurate and can be applied to the calculation of the sensitivity of transmission parameters of resonant nanophotonic devices.

[1]  Steven G. Johnson,et al.  Multipole-cancellation mechanism for high-Q cavities in the absence of a complete photonic band gap , 2001 .

[2]  S. Glavic,et al.  Feasible adjoint sensitivity technique for EM design optimization , 2002, 2002 IEEE MTT-S International Microwave Symposium Digest (Cat. No.02CH37278).

[3]  C. Chan,et al.  Effects due to disorder on photonic crystal-based waveguides , 2003 .

[4]  Carretera de Valencia,et al.  The finite element method in electromagnetics , 2000 .

[5]  Steven G. Johnson,et al.  Perturbation theory for Maxwell's equations with shifting material boundaries. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  J. Joannopoulos,et al.  Theoretical investigation of fabrication‐related disorder on the properties of photonic crystals , 1995 .

[7]  Nicorovici,et al.  Effects of geometric and refractive index disorder on wave propagation in two-dimensional photonic crystals , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[8]  S. Noda,et al.  Effects of structural fluctuations on the photonic bandgap during fabrication of a photonic crystal , 1999 .

[9]  E. Glytsis,et al.  Finite-number-of-periods holographic gratings with finite-width incident beams: analysis using the finite-difference frequency-domain method. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[10]  Zhao-Qing Zhang,et al.  Fragility of photonic band gaps in inverse-opal photonic crystals , 2000 .