Abstract

Effective parameters of homogenized photonic crystals with a semiconductor bar in the unit cell are calculated and analyzed. The applied homogenization theory is based on the Fourier formalism within the form-factor division approach. The calculated effective parameters, namely, the components of the effective permittivity tensor, are nonlocal since they depend on not only frequency but also the wave vector. Using the nonlocal effective parameters, the complex dispersion relation for photonics modes propagating in a periodic semiconductor–dielectric array can be described even beyond the long-wavelength limit. We have analyzed the temperature dependence of the nonlocal effective parameters for photonic metamaterials composed of InSb square bars in a silica–glass host matrix. In the case of continuous (infinitely long) bars, the metamaterial shows plasma-like behavior with a temperature-dependent effective plasma frequency in the THz range. For the case of cut semiconductor bars, the metamaterial behaves as a dielectric in the lowest frequency band, whose width can also be tuned by varying the temperature. Using the nonlocal effective permittivity, the optical spectra (reflectivity and transmittance) for a slab of InSb square bars in a glass matrix were calculated and analyzed.

© 2017 Optical Society of America

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