Analysis of coaxial photonic crystal transmittance by Fourier transform

M. M. Sanchez-Lopez; J. Cos; J. A. Davis; D. A. Miller; I. Moreno; P. Velasquez

doi:10.1117/12.608757

7 July 2005 Analysis of coaxial photonic crystal transmittance by Fourier transform

M. M. Sanchez-Lopez, J. Cos, J. A. Davis, D. A. Miller, I. Moreno, P. Velasquez

Proceedings Volume 5840, Photonic Materials, Devices, and Applications; (2005) https://doi.org/10.1117/12.608757
Event: Microtechnologies for the New Millennium 2005, 2005, Sevilla, Spain

Abstract

In this work, we present an analysis of harmonic frequency transmission filters based on one-dimensional photonic crystals using a Fourier transform approach. This approach relates the photonic crystal transmittance with the Fourier transform of the logarithmic derivate of their refraction index profile. We compare this Fourier approach with the exact transmission calculated by means of the transfer matrix method. We study the accuracy of different functions proposed in the literature that relate the Fourier transform of the index profile with the transmittance. This Fourier approach provides a more intuitive understanding of the transmission properties of one-dimensional photonic crystals. We experimentally demonstrate these properties by using coaxial cables of different impedances. This kind of electrical system is easier to perform experimentally and reproduces, in the radiofrequency range, the properties of one-dimensional photonic crystals.

Citation Download Citation

M. M. Sanchez-Lopez, J. Cos, J. A. Davis, D. A. Miller, I. Moreno, and P. Velasquez "Analysis of coaxial photonic crystal transmittance by Fourier transform", Proc. SPIE 5840, Photonic Materials, Devices, and Applications, (7 July 2005); https://doi.org/10.1117/12.608757

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