Nonlinear Effects in Bent Optical Waveguides
A detailed theoretical study of non-linear effects in bent optical waveguides is proposed. This involves the numerical modelling and solution of the equations describing the propagation of light in non-linear bent waveguides. With the continuing development of optical communications systems it is fundamentally important to understand how light beams that have intensities in the non-linear regime are affected by bends in the waveguide. Once this behaviour is modelled, the potential exists to exploit the polarization and pulse propagation properties of nonlinear light beams in bent structures to systematically design optical devices for use in future all-optical communication systems.
The specific aims are:
To begin the basic mathematical analysis using continuous-wave theory that will be used to synthesize the theory of bends and nonlinearities.
To extend the basic theory to include the effects of polarisation, taking into account different waveguide structures. This is the first stage of this grant proposal.
To build into the theory the effect of propagating frequency-dependent pulses, and comparing results to continuous-wave theory.
To move to a more advanced mathematical regime and examine the full theory of bends and nonlinearity, where now the nonlinearity may be high enough to change the transverse modal field.