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Theory of nonlinear polaritonics: χ(2) scattering on a β-SiC surface

Theory of nonlinear polaritonics: χ(2) scattering on a β-SiC surface
Theory of nonlinear polaritonics: χ(2) scattering on a β-SiC surface
In this article we provide a practical prescription to harness the rigorous microscopic, quantum-level descriptions of sub-wavelength light-matter systems provided by real-space Hopfield diagonalisation for quantum description of nonlinear scattering. A general frame to describe the practically important second-order optical nonlinearities which underpin sum and difference frequency generation is developed for arbitrarily inhomogeneous dielectric environments. Specific attention is then focussed on planar systems with optical nonlinearity mediated by a polar dielectric β-SiC halfspace. In this system we calculate the rate of second harmonic generation and the result is compared to recent experimental measurements. Furthermore the rate of difference frequency generation of subdiffraction surface phonon polaritons on the β-SiC halfspace by two plane waves is calculated. The developed theory is easily integrated with commercial finite element solvers, opening the way for calculation of second-order nonlinear scattering coefficients in complex geometries which lack analytical linear solutions.
Polaritonics, Surface Phonon Polariton, Quantum
Gubbin, Christopher
09b75073-7a9a-4443-9a84-1458ec2535e9
De Liberato, Simone
5942e45f-3115-4027-8653-a82667ed8473
Gubbin, Christopher
09b75073-7a9a-4443-9a84-1458ec2535e9
De Liberato, Simone
5942e45f-3115-4027-8653-a82667ed8473

Gubbin, Christopher and De Liberato, Simone (2017) Theory of nonlinear polaritonics: χ(2) scattering on a β-SiC surface. ACS Photonics. (doi:10.1021/acsphotonics.7b00020).

Record type: Article

Abstract

In this article we provide a practical prescription to harness the rigorous microscopic, quantum-level descriptions of sub-wavelength light-matter systems provided by real-space Hopfield diagonalisation for quantum description of nonlinear scattering. A general frame to describe the practically important second-order optical nonlinearities which underpin sum and difference frequency generation is developed for arbitrarily inhomogeneous dielectric environments. Specific attention is then focussed on planar systems with optical nonlinearity mediated by a polar dielectric β-SiC halfspace. In this system we calculate the rate of second harmonic generation and the result is compared to recent experimental measurements. Furthermore the rate of difference frequency generation of subdiffraction surface phonon polaritons on the β-SiC halfspace by two plane waves is calculated. The developed theory is easily integrated with commercial finite element solvers, opening the way for calculation of second-order nonlinear scattering coefficients in complex geometries which lack analytical linear solutions.

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1701.06729 - Accepted Manuscript
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Accepted/In Press date: 16 March 2017
e-pub ahead of print date: 16 March 2017
Keywords: Polaritonics, Surface Phonon Polariton, Quantum
Organisations: Quantum, Light & Matter Group

Identifiers

Local EPrints ID: 406919
URI: http://eprints.soton.ac.uk/id/eprint/406919
PURE UUID: 5442bca9-a8d6-41ce-84d8-a00f810c1476
ORCID for Christopher Gubbin: ORCID iD orcid.org/0000-0003-3988-028X
ORCID for Simone De Liberato: ORCID iD orcid.org/0000-0002-4851-2633

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Date deposited: 28 Mar 2017 01:04
Last modified: 07 Oct 2020 04:09

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Author: Christopher Gubbin ORCID iD

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