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We present a useful framework based on the coupled-wave theory, through which we can survey the resonant modes of TM polarization in 2D photonic-crystal lasers and understand their properties in detail. Through numerical calculations, we clarify their threshold gains, deviations from the Bragg frequency and field distributions. We find that the lasing mode(More)
Compact lasers that can produce a range of beam patterns are important for progress in several areas, including the improvement of optical tweezers, ultra-high-density optical memory and microfluidics. Here we engineer photonic crystals to generate semiconductor lasers that produce a range of beam patterns while maintaining stable single-mode oscillation.(More)
Localized defect modes in a two-dimensional photonic crystal slab upon a SiO(2) substrate have been analyzed by a numerical simulation of dipole radiation based on the finite-difference time-domain method. A degenerate pair of the defect mode of E(1) spatial symmetry was found in a pseudogap in the spectrum of dipole radiation. We achieved a quality factor(More)
We use the finite-difference time domain method to calculate the vertical optical confinement, which corresponds to the quality factor in the vertical direction, of two-dimensional photonic-crystal (PC) lasers as a function of the asymmetry of the shape of the air holes that form the PC. The vertical optical confinement for triangular air holes, which give(More)
The band structure of three types of photonic crystals is studied. In these photonic crystals, the rotationally asymmetric Vshaped air holes are combined while changing their orientation. We find that the band structure is very sensitive to the method of combination. From this result, we can say that the periodical perturbation produced only by change of(More)
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