The University of Southampton
University of Southampton Institutional Repository

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.

Text
1701.06729 - Accepted Manuscript
Download (590kB)

More information

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

Catalogue record

Date deposited: 28 Mar 2017 01:04
Last modified: 16 Mar 2024 05:10

Export record

Altmetrics

Contributors

Author: Christopher Gubbin ORCID iD

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×