  Micro-bending is a well-known source of loss in optical waveguides. By
treating the micro-bending as a stochastic process, the problem of loss
mitigation can be modeled in terms of a Fokker-Planck equation. Given an
initial refractive index profile, and taking micro-bending into account, we
develop a formalism to derive a new refractive index profile which potentially
results in less loss. Our formalism is based on applying the techniques of
Supersymmetric Quantum Mechanics to a Fokker-Planck equation that is associated
with a particular refractive index profile. We derive a non-linear differential
equation, whose solutions determine whether an index profile can undergo a
supersymmetric transformation that results in less loss. As an explicit
example, we consider a monomial index profile. We show that there exists a
range of values for the monomial exponent which results in the new index
profile having less loss.
