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Analysis of one-dimensional photonic band gap structures with a liquid crystal defect towards development of fiber-optic tunable wavelength filters

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Abstract

A theoretical analysis of a fiber optical photonic band gap based tunable wavelength filter is presented. The design presented here is based on the quarter wave reflector with a liquid crystal defect layer in the middle of the structure. The filter generated by the structure is shifted in wavelength as the voltage applied to the structure is modified. Some critical parameters are analyzed: the effect of the consideration of fiber as the first layer and not the input medium in the shape of the filter, the number of layers of the structure, and the thickness of the defect layer. This last parameter determines the width of the wavelength sweep of the filter, but is limited by the creation of more defects. Some rules of practical implementation of this device are also given.

©2003 Optical Society of America

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Figures (8)

Fig. 1.
Fig. 1. Structure of the 1D PBG wavelength filter consisting of 2 Bragg mirrors of 30 layers and a cavity (defect)
Fig. 2.
Fig. 2. 1D-PBG structure of 61 layers with a defect
Fig. 3.
Fig. 3. Transmitted power of the quarter-wave reflector with the introduction of a defect in the middle
Fig. 4.
Fig. 4. Transmitted power of the quarter-wave reflector with the introduction of a defect in the middle considering both fibers infinite or finite in length
Fig. 5.
Fig. 5. Defect states in the band gap three different thicknesses of the liquid crystal layer. A defect state leaves the band gap.
Fig. 6.
Fig. 6. Defect states in the band gap for three different thicknesses of the liquid crystal layer. A new defect state enters the band gap
Fig. 7.
Fig. 7. QWR transmitted power plot for four different states of the liquid crystal
Fig. 8.
Fig. 8. QWR transmitted power for five refractive indexes in the defect. Number of layers 92
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