Photonic crystal with negative index material layers
Abstract
We consider the one-dimensional photonic crystal composed of an infinite number of parallel alternating layers filled with a metamaterial and vacuum. We assume the metamaterial is an isotropic, homogeneous, dispersive and non-absorptive medium. We use a single Lorentz contribution and assume the permittivity and permeability are equal. Using the time and coordinate Fourier transforms and the Floquet-Bloch theorem, we obtain systems of equations for TE and TM modes, which ones are identical. We consider radiative and evanescent regimes for the metamaterial and vacuum layers and find sets of frequencies, where the metamaterial has the positive or negative refractive index. We use a numerical approach. As a result, we obtained the photonic band gap structure for different frequency intervals and ascertain how it changes with modification of the system parameters. We observe the non-reflection effect for any directions for a certain frequency but this fails with the layer width modification.
Supporting agencies: The work was partially financially supported by the Government of the Russian Federation (Grant 074-U01), by State contract of the Russian Ministry of Education and Science and grants of the President of Russia (state contract 14.124.13.2045-MK and grant MK-1493.2013.1).
About the Authors
K. V. Pravdin
ITMO University
Russian Federation
Russian Federation
Saint Petersburg
I. Yu. Popov
ITMO University
Russian Federation
Russian Federation
Saint Petersburg
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Review
For citations:
Pravdin K.V., Popov I.Yu. Photonic crystal with negative index material layers. Nanosystems: Physics, Chemistry, Mathematics. 2014;5(5):626-643.
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