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Phase-matched nondegenerate four-wave mixing in one-dimensional photonic crystals
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View: Figures


Image of FIG. 1.
FIG. 1.

(a) Calculated band structure of the 1D photonic crystal. (b) Corresponding effective refractive index, (c) calculated, and (d) measured normal-incidence transmittances of a 52 period sample. The combination of the three frequencies , , and used in Fig. 3 is indicated.

Image of FIG. 2.
FIG. 2.

Wave vector mismatch for the generated frequency component as derived from the effective index for the 1D photonic crystal shown in Fig. 1 on a gray scale as a function of the two incident frequencies and . The plot for for bulk is essentially black at the frequencies of interest (not shown).

Image of FIG. 3.
FIG. 3.

Measured nondegenerate four-wave mixing signal at frequency from bulk (open squares) and the 1D photonic crystals with 52 periods and 76 periods (filled squares) for the frequencies and . The signals are normalized to the optimum signal of the bulk film. The inset exhibits a typical spectrum of the enhancement factor (EF) for fixed vs of the 52 period stack compared to a bulk thick film.

Image of FIG. 4.
FIG. 4.

Theory corresponding to the experiment shown in Fig. 3. The two curves at the bottom compare the results from 1D finite-difference time-domain calculations (squares) and those based on the effective index (dashed curves).


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Phase-matched nondegenerate four-wave mixing in one-dimensional photonic crystals