论文标题
光学波导中随机微弯曲的超对称分析
Supersymmetric Analysis of Stochastic Micro-Bending in Optical Waveguides
论文作者
论文摘要
光波导中的微弯曲衰减可以通过Fokker-Planck方程进行建模。结果表明,应用于Fokker-Planck方程的超对称转换等效于折射率曲线的变化,从而导致较大或更小的衰减。对于一类庞大的单次指数剖面,始终可以使用超对称转换获得具有较大微弯曲衰减的索引曲线。但是,获得较小的衰减并不总是可能的,并且仅限于指数概况的子集。
Micro-bending attenuation in an optical waveguide can be modeled by a Fokker-Planck equation. It is shown that a supersymmetric transformation applied to the Fokker-Planck equation is equivalent to a change in the refractive index profile, resulting in a larger or smaller attenuation. For a broad class of monomial index profiles, it is always possible to obtain an index profile with a larger micro-bending attenuation using a supersymmetric transformation. However, obtaining a smaller attenuation is not always possible and is restricted to a subset of index profiles.