Multiphoton propagation eigenmodes for sum-frequency generation

Graeme Docherty-Walthew; Kyle Ballantine; Michael Mazilu

doi:10.1016/j.optcom.2020.125610

Multiphoton propagation eigenmodes for sum-frequency generation

Graeme Docherty-Walthew, Kyle Ballantine, Michael Mazilu

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

Abstract

In linear optics, modes correspond to a set of fields that are mutually orthogonal, however, in the nonlinear regime the principle of linear superposition is no longer valid and consequently, the method of mode decomposition breaks down. This is the case when considering sum-frequency generation in a nonlinear crystal. Here, we use the non-depleting pump approximation to describe the nonlinear interaction with low-intensity multiphoton fields. We show that the description of multiphoton fields using the propagation eigenmodes simplifies the Fock state quantum behaviour of the system while remaining equivalent to the standard approach.

Original language	English
Article number	125610
Journal	Optics Communications
Volume	466
Early online date	28 Feb 2020
DOIs	https://doi.org/10.1016/j.optcom.2020.125610
Publication status	Published - 1 Jul 2020

Keywords

Eigenmodes
Quantum-optical networks
Perturbation approach
Single photons

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10.1016/j.optcom.2020.125610

Optics_Communications_Single_Photons_11
Copyright © 2020 Elsevier B.V. All rights reserved. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1016/j.optcom.2020.125610
Accepted author manuscript, 3.9 MBLicence: CC BY-NC-ND

Shaped light at the interface: Shaped Light at the Interface
Dholakia, K. (PI), Brown, C. T. A. (CoI), Di Falco, A. (CoI) & Mazilu, M. (CoI)
EPSRC
1/09/14 → 31/08/19
Project: Standard

Multiphoton propagation eigenmodes for sum-frequency generation (dataset)
Docherty-Walthew, G. (Creator), Ballantine, K. (Creator) & Mazilu, M. (Creator), University of St Andrews, 9 Mar 2020
DOI: 10.17630/24cf8818-672b-4ab4-80ea-3b183af9144f
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keywords = "Eigenmodes, Quantum-optical networks, Perturbation approach, Single photons",

author = "Graeme Docherty-Walthew and Kyle Ballantine and Michael Mazilu",

note = "Funding: UK Engineering and Physical Sciences Research Council (EPSRC) Grant EP/M000869/1 (M.M.).",

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T1 - Multiphoton propagation eigenmodes for sum-frequency generation

AU - Docherty-Walthew, Graeme

AU - Ballantine, Kyle

AU - Mazilu, Michael

N1 - Funding: UK Engineering and Physical Sciences Research Council (EPSRC) Grant EP/M000869/1 (M.M.).

PY - 2020/7/1

Y1 - 2020/7/1

N2 - In linear optics, modes correspond to a set of fields that are mutually orthogonal, however, in the nonlinear regime the principle of linear superposition is no longer valid and consequently, the method of mode decomposition breaks down. This is the case when considering sum-frequency generation in a nonlinear crystal. Here, we use the non-depleting pump approximation to describe the nonlinear interaction with low-intensity multiphoton fields. We show that the description of multiphoton fields using the propagation eigenmodes simplifies the Fock state quantum behaviour of the system while remaining equivalent to the standard approach.

AB - In linear optics, modes correspond to a set of fields that are mutually orthogonal, however, in the nonlinear regime the principle of linear superposition is no longer valid and consequently, the method of mode decomposition breaks down. This is the case when considering sum-frequency generation in a nonlinear crystal. Here, we use the non-depleting pump approximation to describe the nonlinear interaction with low-intensity multiphoton fields. We show that the description of multiphoton fields using the propagation eigenmodes simplifies the Fock state quantum behaviour of the system while remaining equivalent to the standard approach.

KW - Eigenmodes

KW - Quantum-optical networks

KW - Perturbation approach

KW - Single photons

U2 - 10.1016/j.optcom.2020.125610

DO - 10.1016/j.optcom.2020.125610

M3 - Article

SN - 0030-4018

VL - 466

JO - Optics Communications

JF - Optics Communications

M1 - 125610

ER -

Multiphoton propagation eigenmodes for sum-frequency generation

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Shaped light at the interface: Shaped Light at the Interface

Datasets

Multiphoton propagation eigenmodes for sum-frequency generation (dataset)

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