Design constraints and optimization for a white light cavity based - - PowerPoint PPT Presentation

▶
design constraints and optimization for a white light
SMART_READER_LITE
LIVE PREVIEW

Design constraints and optimization for a white light cavity based - - PowerPoint PPT Presentation

Oct 23, 2023 138 likes •439 views

LIGO G0900207 Design constraints and optimization for a white light cavity based GW interferometer including power and signal recycling Selim Shahriar, Northwestern University Laboratory of Atomic and Photonic Technologies URL:

slide-1
SLIDE 1

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

Design constraints and optimization for a white light cavity based GW interferometer including power and signal recycling

Selim Shahriar, Northwestern University

Laboratory of Atomic and Photonic Technologies URL: http://lapt.ece.northwestern.edu Northwestern University Gravitational Wave Astrophysics Workgroup (Head: Vicky Kalogera)

LIGO G0900207

slide-2
SLIDE 2

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

White Light Cavity: Basic Idea

Negative Dispersion Medium

Source Laser

λ=2πCo/(nω)

  • Ideal WLC is infinitely broadened, without any drop in storage time / sensitivity
  • In practice, broadening and sensitivity limited by finite bandwidth of negative dispersion
  • Ideal WLC is also infinitely sensitive to variation in cavity length
slide-3
SLIDE 3

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

Active Superluminal Cavity: Superluminal Ring Laser (SRL)

Neg Dispersion Medium Beat Signal

  • Frequency change is enhanced in sensitivity by a factor of 10 million
  • Beat note does not experience the broadening effect
slide-4
SLIDE 4

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

Demonstration of White Light Cavity

slide-5
SLIDE 5

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

10 15 20 25 6 8 10 12 14 16 18

(c)

gain separation (MHz) cavity LW (MHz)

  • expt. data

estimated (c)

10 15 20 25 6 8 10 12 14 16 18

(c)

gain separation (MHz) cavity LW (MHz)

  • expt. data

estimated

  • expt. data

estimated (c)

frequency (MHz) cavity buildup

  • 3
  • 2
  • 1

1 2 3 500 1000 1500 2000 2500 3000

WLC empty cavity

(d)

frequency (MHz) cavity buildup

  • 3
  • 2
  • 1

1 2 3 500 1000 1500 2000 2500 3000

WLC empty cavity WLC empty cavity

(d)

0.5 1 0.5 1 0.5 1 0.5 1

  • 15
  • 10
  • 5

5 10 15 0.5 1

frequency (MHz) cavity transmission

cavity res. 8 MHz 12 MHz 19 MHz 23 MHz

(b)i

ii iii iv v

0.5 1 0.5 1 0.5 1 0.5 1

  • 15
  • 10
  • 5

5 10 15 0.5 1

frequency (MHz) cavity transmission

cavity res. 8 MHz 12 MHz 19 MHz 23 MHz

(b)i

ii iii iv v

0.5 1 0.5 1 0.5 1 0.5 1

  • 15
  • 10
  • 5

5 10 15 0.5 1

cavity res. Γ = 8 MHz 12 MHz 19 MHz 23 MHz frequency (MHz) cavity transmission (a)i ii iii iv v

0.5 1 0.5 1 0.5 1 0.5 1

  • 15
  • 10
  • 5

5 10 15 0.5 1

cavity res. Γ = 8 MHz 12 MHz 19 MHz 23 MHz frequency (MHz) cavity transmission

0.5 1 0.5 1 0.5 1 0.5 1

  • 15
  • 10
  • 5

5 10 15 0.5 1

cavity res. Γ = 8 MHz 12 MHz 19 MHz 23 MHz frequency (MHz) cavity transmission (a)i ii iii iv v

10 15 20 25 6 8 10 12 14 16 18

(c)

gain separation (MHz) cavity LW (MHz)

  • expt. data

estimated (c)

10 15 20 25 6 8 10 12 14 16 18

(c)

gain separation (MHz) cavity LW (MHz)

  • expt. data

estimated

  • expt. data

estimated (c)

frequency (MHz) cavity buildup

  • 3
  • 2
  • 1

1 2 3 500 1000 1500 2000 2500 3000

WLC empty cavity

(d)

frequency (MHz) cavity buildup

  • 3
  • 2
  • 1

1 2 3 500 1000 1500 2000 2500 3000

WLC empty cavity WLC empty cavity

(d)

0.5 1 0.5 1 0.5 1 0.5 1

  • 15
  • 10
  • 5

5 10 15 0.5 1

frequency (MHz) cavity transmission

cavity res. 8 MHz 12 MHz 19 MHz 23 MHz

(b)i

ii iii iv v

0.5 1 0.5 1 0.5 1 0.5 1

  • 15
  • 10
  • 5

5 10 15 0.5 1

frequency (MHz) cavity transmission

cavity res. 8 MHz 12 MHz 19 MHz 23 MHz

(b)i

ii iii iv v

0.5 1 0.5 1 0.5 1 0.5 1

  • 15
  • 10
  • 5

5 10 15 0.5 1

cavity res. Γ = 8 MHz 12 MHz 19 MHz 23 MHz frequency (MHz) cavity transmission (a)i ii iii iv v

0.5 1 0.5 1 0.5 1 0.5 1

  • 15
  • 10
  • 5

5 10 15 0.5 1

cavity res. Γ = 8 MHz 12 MHz 19 MHz 23 MHz frequency (MHz) cavity transmission

0.5 1 0.5 1 0.5 1 0.5 1

  • 15
  • 10
  • 5

5 10 15 0.5 1

cavity res. Γ = 8 MHz 12 MHz 19 MHz 23 MHz frequency (MHz) cavity transmission (a)i ii iii iv v

G.S. Pati, M. Messal, K. Salit, M.S. Shahriar, “Demonstration of a tunable-bandwidth white light interferometer using anomalous dispersion in atomic vapor,” Phys. Rev. Lett. 99, 133601 (2007)

Demonstration of White Light Cavity

slide-6
SLIDE 6

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

G.S. Pati, M. Messal, K. Salit, M.S. Shahriar, Optics Communications, 281 (19), p.4931-4935, (2008)

  • 6
  • 4
  • 2

2 4 6 8 0.2 0.4 0.6 0.8 1 1.2 frequency (MHz) cavity transmission

  • λ/500

λ/400

Theory

  • 10
  • 5

5 10 0.01 0.02 0.03 0.04 0.05 0.06 0.07 frequency (MHz)

  • mag. (a.u.)

Experiment

Demonstration of White Light Cavity

slide-7
SLIDE 7

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

H.N. Yum, M. Salit, G.S. Pati, S. Tseng, P.R. Hemmer, and M.S.Shahriar, Optics Express, Vol. 16 Issue 25, 20448 (2008)

Fast-light in Photorefractive Crystal for WLC

slide-8
SLIDE 8

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

Fast-light in Photorefractive Crystal for WLC

slide-9
SLIDE 9

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

Fast-light in Photorefractive Crystal for WLC

slide-10
SLIDE 10

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

Fast-light in Photorefractive Crystal for WLC

slide-11
SLIDE 11

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

Fast-light in Photorefractive Crystal for WLC

slide-12
SLIDE 12

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

Simple (Meers) Model for Signal and Power Recycling

detector Power Recycling Mirror Signal Recycling Mirror NPBS

slide-13
SLIDE 13

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

Enhancing the bandwidth-sensitivity product

Intracavity Intensity GW Frequency Narrowband Operation WLC Operation Intracavity Intensity GW Frequency Narrowband Operation WLC Operation Intracavity Intensity GW Frequency Narrowband Operation WLC Operation Intracavity Intensity GW Frequency Narrowband Operation WLC Operation

Laser

PRM SRM det

Laser

PRM SRM det WLC element

Intracavity Intensity GW Frequency Narrowband Operation Broadband Operation Intracavity Intensity GW Frequency Narrowband Operation Broadband Operation Intracavity Intensity GW Frequency Narrowband Operation Broadband Operation Intracavity Intensity GW Frequency Narrowband Operation Broadband Operation

slide-14
SLIDE 14

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

Enhancing the bandwidth-sensitivity product

1 2 5 1 2 5 . 2 . 5 1 2 5 1 2

slide-15
SLIDE 15

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

Enhancing the bandwidth-sensitivity product

1 2 5 1 2 5 . 5 1 5 1 5 1 No WLC / TSRM =1 No WLC / TSRM =0.1 No WLC / TSRM =0.001 WLC / TSRM =0.1 WLC / TSRM =0.001

slide-16
SLIDE 16

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

Signal and Power Recycling in the Presence of Arm Cavities

slide-17
SLIDE 17

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207 compound mirror for signal recycling compound mirror for pump recycling

Signal and Power Recycling in the Presence of Arm Cavities

slide-18
SLIDE 18

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207 WLC element WLC element

Sensitivity-Bandwidth Enhancement for AdLIGO Configuration

slide-19
SLIDE 19

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207 compound mirror for WLC signal recycling compound mirror for WLC pump recycling

Signal Extraction Cavity (SEC)

Sensitivity-Bandwidth Enhancement for AdLIGO Configuration

slide-20
SLIDE 20

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

Sensitivity-Bandwidth Enhancement for AdLIGO Configuration

slide-21
SLIDE 21

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

2 4 6 8 1 1 2 3 4 5 6 7

Tuned Mode Detuned by 54 deg Detuned by 36 deg Detuned by 25.2 deg Detuned by 20 deg

2 4 6 8 1 2 4 6 8 1 1 2 1 4

Sensitivity-Bandwidth Enhancement for AdLIGO Configuration

Without WLC With WLC

slide-22
SLIDE 22

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

2 4 6 8 1 1 2 3 4 5 6 7

Tuned Mode Detuned by 54 deg Detuned by 36 deg Detuned by 25.2 deg Detuned by 20 deg

2 4 6 8 1 2 4 6 8 1 1 2 1 4

Without WLC With WLC

Sensitivity-Bandwidth Enhancement for AdLIGO Configuration

slide-23
SLIDE 23

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207 compound mirror for pump recycling Match SRM to Input Test Mass and tune SEC to resonance

Proposal for Adding an Auxiliary Mirror for Practical WLC

slide-24
SLIDE 24

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207 compound mirror for pump recycling

WLC Element

WLC Element WLC Element

Proposal for Adding an Auxiliary Mirror for Practical WLC

slide-25
SLIDE 25

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

Proposal for Adding an Auxiliary Mirror for Practical WLC

slide-26
SLIDE 26

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

1 2 5 1 2 5 . 5 1 5 1 5 1 No WLC / TASRM =1 No WLC / TASRM =0.1 No WLC / TASRM =0.001 WLC / TASRM =0.1 WLC / TASRM =0.001

  • M. Salit and M.S. Shahriar, “Enhancement of Sensitivity-Bandwidth Product of Interferometric Gravitational

Wave Detectors using White Light Cavities,” (http://arxiv.org/ftp/arxiv/papers/0809/0809.4213.pdf)

Proposal for Adding an Auxiliary Mirror for Practical WLC

slide-27
SLIDE 27

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

( ') ' ' 2

t t g

  • t

t

h Cos t dt dt

τ τ

ω φ ω ω

− −

∆ = = ∆

∫ ∫

Phase Shift Without Anomalous Dispersion

1 1 ' ' ( ') ' 2

t t t ENH

  • g

t t t g g

h dt dt Cos t dt n n

τ τ τ

ω φ ω ω ω

− − −

∆ = ∆ = ∆ =

∫ ∫ ∫

Phase Shift With Anomalous Dispersion

M.S. Shahriar and M. Salit, (2008) Journal of Modern Optics Vol. 55, Nos. 19–20, 10–20 November 2008, 3133–3147

  • M. S. Shahriar and M. Salit, “A Fast-Light Enhanced Zero-Area Sagnac Ring Laser Gravitational

Wave Detector,” (http://lapt.eecs.northwestern.edu/preprints/FE-ZASRLGWD.pdf)

Active Sagnac Ring Laser in a WLC for Enhancing Strain Sensitivity

slide-28
SLIDE 28

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

G.S. Pati, M. Messal, K. Salit, M.S. Shahriar, Phys. Rev. Lett. 99, 133601 (2007)

G.S. Pati, M. Messal, K. Salit, M.S. Shahriar, Optics Communications, 281 (19), p.4931-4935, (2008) G.S. Pati, R. Tripathi, V. Gopal, M. Messal, Phys. Rev. A 75, 053807 (2007) H.N. Yum, M. Salit, G.S. Pati, S. Tseng, P.R. Hemmer, and M.S.Shahriar, Optics Express, Vol. 16 Issue 25, 20448 (2008)

  • M. Salit, G.S. Pati, K. Salit, and M.S. Shahriar, (2007) Journal of Modern

Optics, 54:16, 2425 - 2440 M.S. Shahriar and M. Salit, (2008) Journal of Modern Optics Vol. 55, Nos. 19–20, 10–20 November 2008, 3133–3147

  • M. S. Shahriar and M. Salit, “A Fast-Light Enhanced Zero-Area Sagnac Ring Laser

Gravitational Wave Detector,” (http://lapt.eecs.northwestern.edu/preprints/FE- ZASRLGWD.pdf)

  • M. Salit and M.S. Shahriar, “Enhancement of Sensitivity-Bandwidth Product of

Interferometric Gravitational Wave Detectors using White Light Cavities,” (http://arxiv.org/ftp/arxiv/papers/0809/0809.4213.pdf)

Journal publications and preprints

slide-29
SLIDE 29

LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207