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Schematic top view of the PhC mirrors and characteristics of the incident mode. The classical (a) and the heterostructure mirrors (b) are built in a triangular lattice of air holes (lattice constant and hole radius ) etched in a silicon slab (refractive index and thickness ). The longitudinal lattice constant in the heterostructure mirror is . The number of periods in the mirrors is denoted by . (c) Dispersion curves of the nominal W1 (solid curve) and the deformed W1 (dashed curve). Their cutoff wavelengths are and , respectively. The gray surface represents the range above the light line. (d) Group index of the incident mode (nominal W1).
Reflection and transmission spectra. (a) Reflection and (b) transmission of the classical mirror. (c) Reflection and (d) transmission of the heterostructure mirror. The solid and dashed curves correspond to finite-length mirrors with and , respectively. The thin curves in (a) and (c) correspond to semi-infinite mirrors.
Mirror properties as a function of the mirror length for . (a) Transmission in a logarithmic scale. Crosses: classical mirror. Squares: heterostructure mirror. The solid lines show a linear fit of that allows to estimate the damping length . (b) Penetration length. The thin line corresponds to . The calculations have been performed from to periods.
Spectral variation of the penetration length and of the damping length . The calculations of the penetration length have been performed for semi-infinite mirrors. For the classical mirror, is represented by the dashed curve and by the crosses. For the heterostructure mirror, is represented by the solid curve and by the squares.
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