Second-harmonic Generation in Left-handed Metamaterials

Ilya Shadrivov; Maxim Gorkunov; N Alexander Zharov; Yuri Kivshar

Second-harmonic Generation in Left-handed Metamaterials

Ilya Shadrivov, Maxim Gorkunov, N Alexander Zharov, Yuri Kivshar

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

Abstract

We study the second-harmonic generation in left-handed metamaterials with a quadratic nonlinear response and demonstrate a novel type of the phase matching between backwardpropagating waves of the fundamental frequency and forward-propagating waves of the second harmonics. We show that under these conditions a surface of the left-handed metamaterial is transformed into an effective mirror totally reflecting the second harmonics generated by an incident wave. We derive and analyze the coupled-mode equations for a semi-infinite nonlinear metamaterial. We also suggest binary metamaterials composed of two types of magnetic resonant elements, and demonstrate that in the nonlinear regime such metamaterials provide unique possibilities for phase-matched parametric interaction and enhanced second-harmonic generation.

Original language	English
Title of host publication	Technical Digest Photonic Metamaterials: From Random to Periodic
Editors	A Genack and V Shalaev
Place of Publication	USA
Publisher	Optica Publishing Group
Pages	WD3-1-3
Edition	Peer Reviewed
ISBN (Print)	155752808X
Publication status	Published - 2006
Event	Photonic Metamaterials: From Random to Periodic - Grand Island The Bahamas Duration: 1 Jan 2006 → …

Conference

Conference	Photonic Metamaterials: From Random to Periodic
Period	1/01/06 → …
Other	Mon Jun 05 00:00:00 AEST 2006

Cite this

@inproceedings{8bcb64f2d00d4fc4beabc4860051fa53,

title = "Second-harmonic Generation in Left-handed Metamaterials",

abstract = "We study the second-harmonic generation in left-handed metamaterials with a quadratic nonlinear response and demonstrate a novel type of the phase matching between backwardpropagating waves of the fundamental frequency and forward-propagating waves of the second harmonics. We show that under these conditions a surface of the left-handed metamaterial is transformed into an effective mirror totally reflecting the second harmonics generated by an incident wave. We derive and analyze the coupled-mode equations for a semi-infinite nonlinear metamaterial. We also suggest binary metamaterials composed of two types of magnetic resonant elements, and demonstrate that in the nonlinear regime such metamaterials provide unique possibilities for phase-matched parametric interaction and enhanced second-harmonic generation.",

author = "Ilya Shadrivov and Maxim Gorkunov and Zharov, \{N Alexander\} and Yuri Kivshar",

year = "2006",

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booktitle = "Technical Digest Photonic Metamaterials: From Random to Periodic",

publisher = "Optica Publishing Group",

address = "United States",

edition = "Peer Reviewed",

note = "Photonic Metamaterials: From Random to Periodic ; Conference date: 01-01-2006",

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Second-harmonic Generation in Left-handed Metamaterials. / Shadrivov, Ilya; Gorkunov, Maxim; Zharov, N Alexander et al.
Technical Digest Photonic Metamaterials: From Random to Periodic. ed. / A Genack and V Shalaev. Peer Reviewed. ed. USA: Optica Publishing Group, 2006. p. WD3-1-3.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

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T1 - Second-harmonic Generation in Left-handed Metamaterials

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AU - Gorkunov, Maxim

AU - Zharov, N Alexander

AU - Kivshar, Yuri

PY - 2006

Y1 - 2006

N2 - We study the second-harmonic generation in left-handed metamaterials with a quadratic nonlinear response and demonstrate a novel type of the phase matching between backwardpropagating waves of the fundamental frequency and forward-propagating waves of the second harmonics. We show that under these conditions a surface of the left-handed metamaterial is transformed into an effective mirror totally reflecting the second harmonics generated by an incident wave. We derive and analyze the coupled-mode equations for a semi-infinite nonlinear metamaterial. We also suggest binary metamaterials composed of two types of magnetic resonant elements, and demonstrate that in the nonlinear regime such metamaterials provide unique possibilities for phase-matched parametric interaction and enhanced second-harmonic generation.

AB - We study the second-harmonic generation in left-handed metamaterials with a quadratic nonlinear response and demonstrate a novel type of the phase matching between backwardpropagating waves of the fundamental frequency and forward-propagating waves of the second harmonics. We show that under these conditions a surface of the left-handed metamaterial is transformed into an effective mirror totally reflecting the second harmonics generated by an incident wave. We derive and analyze the coupled-mode equations for a semi-infinite nonlinear metamaterial. We also suggest binary metamaterials composed of two types of magnetic resonant elements, and demonstrate that in the nonlinear regime such metamaterials provide unique possibilities for phase-matched parametric interaction and enhanced second-harmonic generation.

UR - https://www.scopus.com/pages/publications/84899057367

M3 - Conference Paper

SN - 155752808X

SP - WD3-1-3

BT - Technical Digest Photonic Metamaterials: From Random to Periodic

A2 - null, A Genack and V Shalaev

PB - Optica Publishing Group

CY - USA

T2 - Photonic Metamaterials: From Random to Periodic

Y2 - 1 January 2006

ER -

Second-harmonic Generation in Left-handed Metamaterials

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