Abstract
Quasi-phase matching conditions for second-harmonic generation are analyzed forwhispering-gallery modes. Several domain patterns, particularly those useful for resonatorsmade of lithium niobate, are compared in terms of their effective nonlinear opticalcoefficients and spectral bandwidths. Only if the grating period at the circular surfaceof the resonator is monotonically increasing will the effective nonlinearity beindependent of small variations of the properties of the resonator, such as theradius, and the offset between the domain pattern and the center of the resonator.
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