Second-harmonic Generation in Left-handed Metamaterials

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

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-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 languageEnglish
    Title of host publicationTechnical Digest Photonic Metamaterials: From Random to Periodic
    EditorsA Genack and V Shalaev
    Place of PublicationUSA
    PublisherOptica Publishing Group
    PagesWD3-1-3
    EditionPeer Reviewed
    ISBN (Print)155752808X
    Publication statusPublished - 2006
    EventPhotonic Metamaterials: From Random to Periodic - Grand Island The Bahamas
    Duration: 1 Jan 2006 → …

    Conference

    ConferencePhotonic Metamaterials: From Random to Periodic
    Period1/01/06 → …
    OtherMon Jun 05 00:00:00 AEST 2006

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