Band structure calculation of photonic crystal slab by using plane wave expansion method with perfectly matched layers

Shouyuan Shi; Caihua Chen; Dennis W. Prather

doi:10.1117/12.529661

9 July 2004 Band structure calculation of photonic crystal slab by using plane wave expansion method with perfectly matched layers

Shouyuan Shi, Caihua Chen, Dennis W. Prather

Author Affiliations +

Proceedings Volume 5360, Photonic Crystal Materials and Devices II; (2004) https://doi.org/10.1117/12.529661
Event: Integrated Optoelectronic Devices 2004, 2004, San Jose, CA, United States

Abstract

In this paper, we presented a new algorithm for the band structure calculation of photonic crystal slabs (PCS) based on the plane wave expansion method (PWEM) with perfectly matched layers (PMLs). The introduction of PMLs is used to truncate the computational region in the vertical direction. In addition, the effective medium tensor is applied to improve the convergence. By using PWM, a general complex eigenvalue problem is then obtained. Two criterions are presented to distinguish the guided modes from the PML modes. The presented scheme can accurately determine the band structure both above and below the light cone. The results obtained using this algorithm have been compared with those by using Finite-difference Time-Domain (FDTD) method and found to agree very well.

Citation Download Citation

Shouyuan Shi, Caihua Chen, and Dennis W. Prather "Band structure calculation of photonic crystal slab by using plane wave expansion method with perfectly matched layers", Proc. SPIE 5360, Photonic Crystal Materials and Devices II, (9 July 2004); https://doi.org/10.1117/12.529661

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