Journal
OPTICS COMMUNICATIONS
Volume 507, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.optcom.2021.127743
Keywords
Optical waveguides; Attenuation; Microbending; Supersymmetry; Supersymmetric Quantum Mechanics; Fokker-Planck equation
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Funding
- United States Army Research Office [W911NF-19-1-0352]
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Micro-bending is a well-known source of loss in optical waveguides. By treating it as a stochastic process, a new formalism based on Supersymmetric Quantum Mechanics is developed to derive a refractive index profile that potentially results in less loss.
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.
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