Abstract
Radiation coupled mode theory with first order perturbation is used to investigate the optimum shape and depth in trapezoidal gratings (which includes rectangular and triangular cases) for radiative and nonradiative applications. Optimum trapezoidal grating shape for nonradiative purposes is obtained for both DFB and DBR lasers. For radiative purposes Optimum triangular grating are obtained for DBR lasers.
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