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- W2003718552 abstract "In recent years photonic crystals have become a favored area of research due to their diversified applications. In thispaper we propose a mathematical model for analyzing the photonic band gap of a 1D binary photonic crystal (GaAs andair) which allows us to use it effectively as a photonic tuner which is an integral part of any optical amplifier. As opticalparameters like reflection and refraction follows similar pattern from each plane within a photonic crystal, we can takehelp of characteristic matrix for a single plane and multiply (m) times where the crystal consists of (m) periods. Usingthe fact that the characteristic matrix comes out to be unimodular and taking help of Cayley-Hamilton theorem andChebyshev polynomials, we expand the matrix of the entire system to derive the location and width of photonic bandgaps. Higher stop bands occur at lower frequency of incoming radiation and central bandgap wavelength decreases withincreasing angle of incidence. The power transmitted by the tuning crystal decreases for radiations away from normal.Using a polarizer model, the attenuation is computed to be proportional to log|Cos2θ|, where θ is the angle of incidence.The mathematical modeling developed can also be extended for realization of n-array photonic crystal. We have alsoconsidered the refractive index modulation with respect to temperature for using it as a temperature sensor." @default.
- W2003718552 created "2016-06-24" @default.
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- W2003718552 date "2011-09-08" @default.
- W2003718552 modified "2023-09-23" @default.
- W2003718552 title "Mathematical modeling of 1D binary photonic tuner and realization of temperature sensor" @default.
- W2003718552 doi "https://doi.org/10.1117/12.893559" @default.
- W2003718552 hasPublicationYear "2011" @default.
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