Which is the right equation to solve within the domain of fiber optics?

It all boils down to the application scenario, to the interplay between the duration of the transmission pulse, the channel dynamic, and the desired level of accuracy.

The most accurate and computationally demanding model is provided by Maxwell's equations, while other equations (like Manakov equations and Schrödinger equations) can be obtained within certain assumptions.

Tasks of the student is to review the subject, pointing out typical scenarios, their relevant equation, the assumptions within which it has been derived, and a numerical method to solve it.

The student can refer to [Menyuk99] and references therein.

REFERENCES: 

[Menyuk99] Menyuk, C. R. "Application of multiple-length-scale methods to the study of optical fiber transmission." Journal of Engineering Mathematics 36.1 (1999): 113-136.

Prerequisites

Investigate SIC to reduce the impact of intermodal crosstalk in multimode fibers.

Optical fibers are employed in telecommunications to carry information through light. However, optical fibers find also application in a variety of different scenarios. For example, multimode and multicore fibers can be exploited for imaging, where they serve as cameras in scenarios where very little space is available, like for endoscopy.

DIfferent approaches to the use of fibers for imaging have been proposed. The student should provide an overview of the field, and clarify both qualitatively and quantitatively the method described in [Gordon19]. Optionally, the student can simulate an experimental scenario and reproduce the recovery of an image through the mentioned method.

REFERENCES:

[Gordon19] Gordon et al., "Characterizing Optical Fiber Transmission Matrices Using Metasurface Reflector Stacks for Lensless Imaging without Distal Access", Physical Review, 2019

Prerequisites