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Programmable Integrated Photonics$
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José Capmany and Daniel Pérez

Print publication date: 2020

Print ISBN-13: 9780198844402

Published to Oxford Scholarship Online: May 2020

DOI: 10.1093/oso/9780198844402.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 27 November 2021

Integrated Multi-port Interferometers

Integrated Multi-port Interferometers

Chapter:
(p.113) 4 Integrated Multi-port Interferometers
Source:
Programmable Integrated Photonics
Author(s):

José Capmany

Daniel Pérez

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198844402.003.0004

Integrated multi-port interferometers are the second step in programmable photonics. Initially conceived and designed to implement fixed linear optics unitary transformations between N input and N output ports to support mode transformations in quantum optics, the rapid development of this field and the possibility of applying these structures to other areas stimulated development of devices capable of supporting arbitrary linear transformations by suitable programming and surpassing use in square matrix transformations and unitary operators. This chapter reviews some basic concepts on unitary N×N matrices and then describes in detail the basic design principles and integrated optics implementations of triangular and rectangular designs for multi-port interferometers. It then considers more specific interferometer designs, which do not provide possible implementation of general linear transformations but are optimised for performing important operations, e.g. the Fourier transform. Lastly, it covers the linear universal component, which integrates both universal beam couplers and integrated multi-port interferometers.

Keywords:   multi-port interferometers, photonic chips, integrated optics, photonic devices, optical couplers, phase shifters

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