Calculation and analysis of the complex band structure of dispersive and dissipative two-dimensional photonic crystals
Abstract
Numerical calculation of modes in dispersive and absorptive systems is performed using the finite element method. The dispersion is tackled in the frame of an extension of Maxwell's equations where auxiliary fields are added to the electromagnetic field. This method is applied to multi-domain cavities and photonic crystals including Drude and Drude-Lorentz metals. Numerical results are compared to analytical solutions for simple cavities and to previous results of the literature for photonic crystals, showing excellent agreement. The advantages of the developed method lie on the versatility of the finite element method regarding geometries, and in sparing the use of tedious complex poles research algorithm. Hence the complex spectrum of resonances of non-hermitian operators and dissipative systems, like two-dimensional photonic crystal made of absorbing Drude metal, can be investigated in detail. The method is used to reveal unexpected features of their complex band structures.
- Publication:
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Journal of the Optical Society of America B Optical Physics
- Pub Date:
- April 2016
- DOI:
- 10.1364/JOSAB.33.000691
- arXiv:
- arXiv:1512.01508
- Bibcode:
- 2016JOSAB..33..691B
- Keywords:
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- Physics - Optics
- E-Print:
- to be submitted for publication