Parametric instability in long optical cavities and suppression by dynamic transverse mode frequency modulation

Chunnong Zhao, Li Ju, Qi Fang, Carl Blair, Jiayi Qin, David Blair, J. Degallaix, H. Yamamoto

    Research output: Contribution to journalArticle

    13 Citations (Scopus)

    Abstract

    © 2015 American Physical Society. Three-mode parametric instability has been predicted in advanced gravitational wave detectors. Here we present the first observation of this phenomenon in a large scale suspended optical cavity designed to be comparable to those of advanced gravitational wave detectors. Our results show that previous modeling assumptions that transverse optical modes are stable in frequency except for frequency drifts on a thermal deformation time scale is unlikely to be valid for suspended mass optical cavities. We demonstrate that mirror figure errors cause a dependence of transverse mode offset frequency on spot position. Combined with low-frequency residual motion of suspended mirrors, this leads to transverse mode frequency modulation which suppresses the effective parametric gain. We show that this gain suppression mechanism can be enhanced by laser spot dithering or fast thermal modulation. Using Advanced LIGO test-mass data and thermal modeling, we show that gain suppression factors of 10-20 could be achieved for individual modes, sufficient to greatly ameliorate the parametric instability problem.
    Original languageEnglish
    Article number092001
    Number of pages8
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume91
    Issue number9
    DOIs
    Publication statusPublished - 5 May 2015

    Fingerprint

    frequency modulation
    retarding
    cavities
    gravitational waves
    mirrors
    LIGO (observatory)
    detectors
    low frequencies
    modulation
    causes
    lasers

    Cite this

    @article{a32e326f899549b8a87b01edd8d1e631,
    title = "Parametric instability in long optical cavities and suppression by dynamic transverse mode frequency modulation",
    abstract = "{\circledC} 2015 American Physical Society. Three-mode parametric instability has been predicted in advanced gravitational wave detectors. Here we present the first observation of this phenomenon in a large scale suspended optical cavity designed to be comparable to those of advanced gravitational wave detectors. Our results show that previous modeling assumptions that transverse optical modes are stable in frequency except for frequency drifts on a thermal deformation time scale is unlikely to be valid for suspended mass optical cavities. We demonstrate that mirror figure errors cause a dependence of transverse mode offset frequency on spot position. Combined with low-frequency residual motion of suspended mirrors, this leads to transverse mode frequency modulation which suppresses the effective parametric gain. We show that this gain suppression mechanism can be enhanced by laser spot dithering or fast thermal modulation. Using Advanced LIGO test-mass data and thermal modeling, we show that gain suppression factors of 10-20 could be achieved for individual modes, sufficient to greatly ameliorate the parametric instability problem.",
    author = "Chunnong Zhao and Li Ju and Qi Fang and Carl Blair and Jiayi Qin and David Blair and J. Degallaix and H. Yamamoto",
    year = "2015",
    month = "5",
    day = "5",
    doi = "10.1103/PhysRevD.91.092001",
    language = "English",
    volume = "91",
    journal = "Physical Review D - Particles, Fields, Gravitation and Cosmology",
    issn = "1550-7998",
    publisher = "American Physical Society",
    number = "9",

    }

    TY - JOUR

    T1 - Parametric instability in long optical cavities and suppression by dynamic transverse mode frequency modulation

    AU - Zhao, Chunnong

    AU - Ju, Li

    AU - Fang, Qi

    AU - Blair, Carl

    AU - Qin, Jiayi

    AU - Blair, David

    AU - Degallaix, J.

    AU - Yamamoto, H.

    PY - 2015/5/5

    Y1 - 2015/5/5

    N2 - © 2015 American Physical Society. Three-mode parametric instability has been predicted in advanced gravitational wave detectors. Here we present the first observation of this phenomenon in a large scale suspended optical cavity designed to be comparable to those of advanced gravitational wave detectors. Our results show that previous modeling assumptions that transverse optical modes are stable in frequency except for frequency drifts on a thermal deformation time scale is unlikely to be valid for suspended mass optical cavities. We demonstrate that mirror figure errors cause a dependence of transverse mode offset frequency on spot position. Combined with low-frequency residual motion of suspended mirrors, this leads to transverse mode frequency modulation which suppresses the effective parametric gain. We show that this gain suppression mechanism can be enhanced by laser spot dithering or fast thermal modulation. Using Advanced LIGO test-mass data and thermal modeling, we show that gain suppression factors of 10-20 could be achieved for individual modes, sufficient to greatly ameliorate the parametric instability problem.

    AB - © 2015 American Physical Society. Three-mode parametric instability has been predicted in advanced gravitational wave detectors. Here we present the first observation of this phenomenon in a large scale suspended optical cavity designed to be comparable to those of advanced gravitational wave detectors. Our results show that previous modeling assumptions that transverse optical modes are stable in frequency except for frequency drifts on a thermal deformation time scale is unlikely to be valid for suspended mass optical cavities. We demonstrate that mirror figure errors cause a dependence of transverse mode offset frequency on spot position. Combined with low-frequency residual motion of suspended mirrors, this leads to transverse mode frequency modulation which suppresses the effective parametric gain. We show that this gain suppression mechanism can be enhanced by laser spot dithering or fast thermal modulation. Using Advanced LIGO test-mass data and thermal modeling, we show that gain suppression factors of 10-20 could be achieved for individual modes, sufficient to greatly ameliorate the parametric instability problem.

    U2 - 10.1103/PhysRevD.91.092001

    DO - 10.1103/PhysRevD.91.092001

    M3 - Article

    VL - 91

    JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

    JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

    SN - 1550-7998

    IS - 9

    M1 - 092001

    ER -