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On the design of photonic crystal multiplexers

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Abstract

We propose a general design methodology for photonic crystal (PhC) diplexers, which is carried out along a filtering T-junction. The diplexer operation is investigated while carefully analyzing the dispersion relations of the three different waveguide channels. All simulations are carried out using the multiple multipole method (MMP), which offers perfect excitation and matching conditions for all waveguide ports involved. The resulting diplexer is highly compact (it covers an area of 13×9 lattice constants) and simple when compared to other PhC diplexer designs.

©2003 Optical Society of America

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Supplementary Material (3)

Media 1: MOV (277 KB)     
Media 2: MOV (205 KB)     
Media 3: MOV (182 KB)     

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Figures (5)

Fig. 1.
Fig. 1. The band structure for an underlying PhC with perfect square lattice for both E- and H-polarization. The band gaps only appear for E-polarization.
Fig. 2.
Fig. 2. Dispersion relations for the three involved PhC waveguides (center). The dispersion curves are assigned to their underlying supercells (top, left, right).
Fig. 3.
Fig. 3. (Top 1 MB, Bottom 1 MB) Diplexer operation: Light propagation (magnitude of the Poynting field) through the diplexer at two different wavelengths showing the corresponding propagation directions.
Fig. 4.
Fig. 4. The dispersion relation for the improved design of the right waveguide channel with radius r=0.375·a (black lines) together with the dispersion curves of the initial design (Fig. 2).
Fig. 5.
Fig. 5. (1 MB) Improved diplexer design: Light propagation (depicted as the magnitude of the Poynting field) through the right diplexer channel, (a movie file for the improved right propagation is available).

Tables (2)

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Table 1. Reflectance and transmittance of the first diplexer design.

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Table 2. Reflectance and transmittance of the improved diplexer design.

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