Analysis of multimode interferometers

Kieran Cooney; Frank H. Peters

doi:10.1364/OE.24.022481

Analysis of multimode interferometers

Kieran Cooney
, Frank H. Peters

University College Cork

Research output: Contribution to journal › Article › peer-review

Abstract

A general analytical formula describing the transfer function between the input and output of an arbitrary rectangular multimode interference (MMI) coupler has been derived using the elliptic theta function θ(x′, z′). This formula provides the positions, amplitudes and relative phases of all the self-images of a given source. It is shown how the transfer function can be used as a propagation matrix for any rectangular NxM MMI. Specific simplified solutions for NxN, symmetric and paired MMIs are also derived from the general formula.

Original language	English
Pages (from-to)	22481-22515
Number of pages	35
Journal	Optics Express
Volume	24
Issue number	20
DOIs	https://doi.org/10.1364/OE.24.022481
Publication status	Published - 3 Oct 2016

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abstract = "A general analytical formula describing the transfer function between the input and output of an arbitrary rectangular multimode interference (MMI) coupler has been derived using the elliptic theta function θ(x′, z′). This formula provides the positions, amplitudes and relative phases of all the self-images of a given source. It is shown how the transfer function can be used as a propagation matrix for any rectangular NxM MMI. Specific simplified solutions for NxN, symmetric and paired MMIs are also derived from the general formula.",

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Analysis of multimode interferometers

Abstract

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