3x3 transfer matrix modelling of integrated optical devices

Research output: Contribution to journalOther journal contributionScientific

Abstract

Unlike common devices based on ring resonators, the structure in Fig. 1.a involves not only 2x2 couplers but also a 3x3 coupler, which means that a 3x3 transfer matrix approach is required to model the system. To the best of our knowledge, no such a model has been developed before. The only model available in the literature is based on a clever recursive 2x2 transfer matrix model [1], which requires lengthy calculations that depend on the chosen boundary conditions and on the particular geometry chosen. The scope of this document is instead to show how to generalize the standard 2x2 transfer matrix approach to cover any system with 3x3 couplers, and calculate the transfer matrix of any complicated system just as a product of simple 3x3 matrices.
Original languageEnglish
Article number1803.06208
Number of pages6
JournalarXiv preprint
Publication statusSubmitted - 16 Mar 2018
MoE publication typeB1 Article in a scientific magazine

Fingerprint

Optical devices
Resonators
Boundary conditions
Geometry

Keywords

  • optics
  • physics

Cite this

Cherchi, M. (2018). 3x3 transfer matrix modelling of integrated optical devices. Manuscript submitted for publication.
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3x3 transfer matrix modelling of integrated optical devices. / Cherchi, Matteo.

In: arXiv preprint, 16.03.2018.

Research output: Contribution to journalOther journal contributionScientific

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N2 - Unlike common devices based on ring resonators, the structure in Fig. 1.a involves not only 2x2 couplers but also a 3x3 coupler, which means that a 3x3 transfer matrix approach is required to model the system. To the best of our knowledge, no such a model has been developed before. The only model available in the literature is based on a clever recursive 2x2 transfer matrix model [1], which requires lengthy calculations that depend on the chosen boundary conditions and on the particular geometry chosen. The scope of this document is instead to show how to generalize the standard 2x2 transfer matrix approach to cover any system with 3x3 couplers, and calculate the transfer matrix of any complicated system just as a product of simple 3x3 matrices.

AB - Unlike common devices based on ring resonators, the structure in Fig. 1.a involves not only 2x2 couplers but also a 3x3 coupler, which means that a 3x3 transfer matrix approach is required to model the system. To the best of our knowledge, no such a model has been developed before. The only model available in the literature is based on a clever recursive 2x2 transfer matrix model [1], which requires lengthy calculations that depend on the chosen boundary conditions and on the particular geometry chosen. The scope of this document is instead to show how to generalize the standard 2x2 transfer matrix approach to cover any system with 3x3 couplers, and calculate the transfer matrix of any complicated system just as a product of simple 3x3 matrices.

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JF - arXiv preprint

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