Abstract

In this report, we discuss the nonlinear optical processes, such as four-wave mixing (FWM) and transverse solitons, in waveguides of specific configuration. We consider tubular waveguides, which may be thought of as thin planar waveguides rolled up into a pipe of a relatively large radius, R ≫ d, where d is the thickness of the original planar guide. We assume that only one radial transverse mode is bound by the bump of refractive index in the radial direction. The remaining transverse coordinate y = Rφ may be considered as defined at length L = 2πR of circumference, i.e., 0 ≤ y ≤ L. The eigenmodes in terms of y-dependence are simply Fourier-components exp(imφ) = exp(2πimy/L).

© 1998 Optical Society of America