We have investigated the temperature dependence of the fundamental absorption edge of a series ofHg 1 _ x Cd x Te alloys (with composition x ranging from 0.5 to 1). Analyzing our data in the light of the three-dimensional theory of direct-allowed excitons, we find precise .values for the fundamental r -r 6 interband transition energy in a temperature range extendmg from o to 300 K. All experi~ental results, including previous data for HgTe and mercury-rich Hg! _ x Cd x Te alloys, are well accounted for using a simple empirical formula:This expression, which is valid for all compositions O

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In order to determine the angular geometry that satisfies quasi-phase matching conditions for enhanced second-harmonic generation (SHG), the equi-frequency surfaces of the resonant photonic modes (that lie above the light line) of a one-dimensional GaN photonic crystal have been experimentally and theoretically studied as a function of frequency, angle of incidence, and azimuthal direction. Enhancement of the SHG has been observed when the angular configuration satisfies the quasi-phase matching conditions, i.e., when both the fundamental and second-harmonic fields coincide with resonant modes of the photonic crystal. The SHG enhancement achieved to the double resonance was 5000 times with respect to the unpatterned GaN layer. A smaller, but still substantially enhanced SHG level was also observed when the fundamental field is coupled into a resonant mode, while the second-harmonic field is not