Multipolar second-harmonic emission with focused Gaussian beams

We show that electric-dipole-allowed surface second-harmonic (SH) generation with focused Gaussian beams can be described in terms of Mie-type multipolar contributions to the SH signal. In contrast to the traditional case, where Mie multipoles arise from field retardation across nanoparticles, the m...

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Main Authors: Mikko J Huttunen, Jouni Mäkitalo, Godofredo Bautista, Martti Kauranen
Format: Article
Language:English
Published: IOP Publishing 2012-01-01
Series:New Journal of Physics
Online Access:https://doi.org/10.1088/1367-2630/14/11/113005
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author Mikko J Huttunen
Jouni Mäkitalo
Godofredo Bautista
Martti Kauranen
author_facet Mikko J Huttunen
Jouni Mäkitalo
Godofredo Bautista
Martti Kauranen
author_sort Mikko J Huttunen
collection DOAJ
description We show that electric-dipole-allowed surface second-harmonic (SH) generation with focused Gaussian beams can be described in terms of Mie-type multipolar contributions to the SH signal. In contrast to the traditional case, where Mie multipoles arise from field retardation across nanoparticles, the multipoles here arise from the confined source volume and the tensorial properties of the SH response. We demonstrate this by measuring strongly asymmetric SH emission into reflected and transmitted directions from a nonlinear thin film with isotropic surface symmetry, where symmetric emission is expected using traditional formalisms based on plane-wave excitation. The proposed multipole approach provides a convenient way to explain the measured asymmetric emission. Our results suggest that the separation of surface and bulk responses, which have dipolar and higher-multipolar character, respectively, may be even more difficult than thought. On the other hand, the multipolar approach may allow tailoring of focal conditions in order to design confined and thin nonlinear sources with desired radiation patterns.
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spelling doaj.art-b9b0f8659b104998997488d869152e472023-08-08T11:07:39ZengIOP PublishingNew Journal of Physics1367-26302012-01-01141111300510.1088/1367-2630/14/11/113005Multipolar second-harmonic emission with focused Gaussian beamsMikko J Huttunen0Jouni Mäkitalo1Godofredo Bautista2Martti Kauranen3Department of Physics, Tampere University of Technology , FI-33101 Tampere, FinlandDepartment of Physics, Tampere University of Technology , FI-33101 Tampere, FinlandDepartment of Physics, Tampere University of Technology , FI-33101 Tampere, FinlandDepartment of Physics, Tampere University of Technology , FI-33101 Tampere, FinlandWe show that electric-dipole-allowed surface second-harmonic (SH) generation with focused Gaussian beams can be described in terms of Mie-type multipolar contributions to the SH signal. In contrast to the traditional case, where Mie multipoles arise from field retardation across nanoparticles, the multipoles here arise from the confined source volume and the tensorial properties of the SH response. We demonstrate this by measuring strongly asymmetric SH emission into reflected and transmitted directions from a nonlinear thin film with isotropic surface symmetry, where symmetric emission is expected using traditional formalisms based on plane-wave excitation. The proposed multipole approach provides a convenient way to explain the measured asymmetric emission. Our results suggest that the separation of surface and bulk responses, which have dipolar and higher-multipolar character, respectively, may be even more difficult than thought. On the other hand, the multipolar approach may allow tailoring of focal conditions in order to design confined and thin nonlinear sources with desired radiation patterns.https://doi.org/10.1088/1367-2630/14/11/113005
spellingShingle Mikko J Huttunen
Jouni Mäkitalo
Godofredo Bautista
Martti Kauranen
Multipolar second-harmonic emission with focused Gaussian beams
New Journal of Physics
title Multipolar second-harmonic emission with focused Gaussian beams
title_full Multipolar second-harmonic emission with focused Gaussian beams
title_fullStr Multipolar second-harmonic emission with focused Gaussian beams
title_full_unstemmed Multipolar second-harmonic emission with focused Gaussian beams
title_short Multipolar second-harmonic emission with focused Gaussian beams
title_sort multipolar second harmonic emission with focused gaussian beams
url https://doi.org/10.1088/1367-2630/14/11/113005
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AT jounimakitalo multipolarsecondharmonicemissionwithfocusedgaussianbeams
AT godofredobautista multipolarsecondharmonicemissionwithfocusedgaussianbeams
AT marttikauranen multipolarsecondharmonicemissionwithfocusedgaussianbeams