Finite mass beam splitter in high power interferometers

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Jan Harms
  • Roman Schnabel
  • Karsten Danzmann

External Research Organisations

  • Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
View graph of relations

Details

Original languageEnglish
Article number102001
Pages (from-to)102001-1-102001-9
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume70
Issue number10
Publication statusPublished - 15 Nov 2004

Abstract

The beam splitter in high-power interferometers is subject to significant radiation-pressure fluctuations. As a consequence, the phase relations which appear in the beam splitter coupling equations oscillate and phase modulation fields are generated which add to the reflected fields. In this paper, the transfer function of the various input fields impinging on the beam splitter from all four ports onto the output field is presented including radiation-pressure effects. We apply the general solution of the coupling equations to evaluate the input-output relations of the dual-recycled laser-interferometer topology of the gravitational-wave detector GEO 600 and the power-recycling, signal-extraction topology of advanced LIGO. We show that the input-output relation exhibits a bright-port dark-port coupling. This mechanism is responsible for bright port contributions to the noise density of the output field and technical laser noise is expected to decrease the interferometer's sensitivity at low frequencies. It is shown quantitatively that the issue of technical laser noise is unimportant in this context if the interferometer contains arm cavities.

ASJC Scopus subject areas

Cite this

Finite mass beam splitter in high power interferometers. / Harms, Jan; Schnabel, Roman; Danzmann, Karsten.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 70, No. 10, 102001, 15.11.2004, p. 102001-1-102001-9.

Research output: Contribution to journalArticleResearchpeer review

Harms J, Schnabel R, Danzmann K. Finite mass beam splitter in high power interferometers. Physical Review D - Particles, Fields, Gravitation and Cosmology. 2004 Nov 15;70(10):102001-1-102001-9. 102001. doi: 10.1103/PhysRevD.70.102001
Harms, Jan ; Schnabel, Roman ; Danzmann, Karsten. / Finite mass beam splitter in high power interferometers. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 2004 ; Vol. 70, No. 10. pp. 102001-1-102001-9.
Download
@article{5bdf07694a8e47d58e8ed4ae20f928b5,
title = "Finite mass beam splitter in high power interferometers",
abstract = "The beam splitter in high-power interferometers is subject to significant radiation-pressure fluctuations. As a consequence, the phase relations which appear in the beam splitter coupling equations oscillate and phase modulation fields are generated which add to the reflected fields. In this paper, the transfer function of the various input fields impinging on the beam splitter from all four ports onto the output field is presented including radiation-pressure effects. We apply the general solution of the coupling equations to evaluate the input-output relations of the dual-recycled laser-interferometer topology of the gravitational-wave detector GEO 600 and the power-recycling, signal-extraction topology of advanced LIGO. We show that the input-output relation exhibits a bright-port dark-port coupling. This mechanism is responsible for bright port contributions to the noise density of the output field and technical laser noise is expected to decrease the interferometer's sensitivity at low frequencies. It is shown quantitatively that the issue of technical laser noise is unimportant in this context if the interferometer contains arm cavities.",
author = "Jan Harms and Roman Schnabel and Karsten Danzmann",
year = "2004",
month = nov,
day = "15",
doi = "10.1103/PhysRevD.70.102001",
language = "English",
volume = "70",
pages = "102001--1--102001--9",
journal = "Physical Review D - Particles, Fields, Gravitation and Cosmology",
issn = "0556-2821",
publisher = "American Institute of Physics",
number = "10",

}

Download

TY - JOUR

T1 - Finite mass beam splitter in high power interferometers

AU - Harms, Jan

AU - Schnabel, Roman

AU - Danzmann, Karsten

PY - 2004/11/15

Y1 - 2004/11/15

N2 - The beam splitter in high-power interferometers is subject to significant radiation-pressure fluctuations. As a consequence, the phase relations which appear in the beam splitter coupling equations oscillate and phase modulation fields are generated which add to the reflected fields. In this paper, the transfer function of the various input fields impinging on the beam splitter from all four ports onto the output field is presented including radiation-pressure effects. We apply the general solution of the coupling equations to evaluate the input-output relations of the dual-recycled laser-interferometer topology of the gravitational-wave detector GEO 600 and the power-recycling, signal-extraction topology of advanced LIGO. We show that the input-output relation exhibits a bright-port dark-port coupling. This mechanism is responsible for bright port contributions to the noise density of the output field and technical laser noise is expected to decrease the interferometer's sensitivity at low frequencies. It is shown quantitatively that the issue of technical laser noise is unimportant in this context if the interferometer contains arm cavities.

AB - The beam splitter in high-power interferometers is subject to significant radiation-pressure fluctuations. As a consequence, the phase relations which appear in the beam splitter coupling equations oscillate and phase modulation fields are generated which add to the reflected fields. In this paper, the transfer function of the various input fields impinging on the beam splitter from all four ports onto the output field is presented including radiation-pressure effects. We apply the general solution of the coupling equations to evaluate the input-output relations of the dual-recycled laser-interferometer topology of the gravitational-wave detector GEO 600 and the power-recycling, signal-extraction topology of advanced LIGO. We show that the input-output relation exhibits a bright-port dark-port coupling. This mechanism is responsible for bright port contributions to the noise density of the output field and technical laser noise is expected to decrease the interferometer's sensitivity at low frequencies. It is shown quantitatively that the issue of technical laser noise is unimportant in this context if the interferometer contains arm cavities.

UR - http://www.scopus.com/inward/record.url?scp=19944418796&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.70.102001

DO - 10.1103/PhysRevD.70.102001

M3 - Article

AN - SCOPUS:19944418796

VL - 70

SP - 102001-1-102001-9

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

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

SN - 0556-2821

IS - 10

M1 - 102001

ER -