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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:

  1. 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) LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  2. White Light Cavity: Basic Idea Negative Dispersion Medium λ =2 π C o /(n ω ) Source Laser • Ideal WLC is infinitely broadened, without any drop in storage time / sensitivity • Ideal WLC is also infinitely sensitive to variation in cavity length • In practice, broadening and sensitivity limited by finite bandwidth of negative dispersion LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  3. Active Superluminal Cavity: Superluminal Ring Laser (SRL) Beat Signal Neg Dispersion Medium • Frequency change is enhanced in sensitivity by a factor of 10 million • Beat note does not experience the broadening effect LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  4. Demonstration of White Light Cavity LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  5. Demonstration of White Light Cavity 1 1 1 1 1 1 (a)i (a)i (a)i (a)i cavity res. cavity res. cavity res. cavity res. cavity res. cavity res. 0.5 0.5 0.5 0.5 0.5 0.5 0 0 0 0 0 0 1 1 1 1 1 1 ii ii ii ii Γ = 8 MHz Γ = 8 MHz Γ = 8 MHz Γ = 8 MHz Γ = 8 MHz Γ = 8 MHz cavity transmission cavity transmission cavity transmission cavity transmission cavity transmission cavity transmission 0.5 0.5 0.5 0.5 0.5 0.5 18 18 18 18 (c) (c) (c) (c) (c) (c) (c) (c) o o o o o o expt. data expt. data expt. data expt. data expt. data expt. data 0 0 0 0 0 0 cavity LW (MHz) cavity LW (MHz) cavity LW (MHz) cavity LW (MHz) 1 1 1 1 1 1 16 16 16 16 estimated estimated estimated estimated estimated estimated iii iii iii iii 12 MHz 12 MHz 12 MHz 12 MHz 12 MHz 12 MHz 0.5 0.5 0.5 0.5 0.5 0.5 14 14 14 14 0 0 0 0 0 0 1 1 1 1 1 1 iv iv iv iv 12 12 12 12 19 MHz 19 MHz 19 MHz 19 MHz 19 MHz 19 MHz 0.5 0.5 0.5 0.5 0.5 0.5 10 10 10 10 0 0 0 0 0 0 1 1 1 1 1 1 v v v v 23 MHz 23 MHz 23 MHz 23 MHz 23 MHz 23 MHz 8 8 8 8 0.5 0.5 0.5 0.5 0.5 0.5 0 0 0 0 0 0 6 6 6 6 -15 -15 -15 -15 -15 -15 -10 -10 -10 -10 -10 -10 -5 -5 -5 -5 -5 -5 0 0 0 0 0 0 5 5 5 5 5 5 10 10 10 10 10 10 15 15 15 15 15 15 10 10 10 10 15 15 15 15 20 20 20 20 25 25 25 25 frequency (MHz) frequency (MHz) frequency (MHz) frequency (MHz) frequency (MHz) frequency (MHz) gain separation (MHz) gain separation (MHz) gain separation (MHz) gain separation (MHz) (b) i (b) i (b) i (b) i 1 1 1 1 cavity res. cavity res. cavity res. cavity res. 0.5 0.5 0.5 0.5 3000 3000 3000 3000 empty cavity empty cavity empty cavity empty cavity empty cavity empty cavity (d) (d) (d) (d) 0 0 0 0 WLC WLC WLC WLC WLC WLC 1 1 1 1 2500 2500 2500 2500 ii ii ii ii cavity buildup cavity buildup cavity buildup cavity buildup 8 MHz 8 MHz 8 MHz 8 MHz cavity transmission cavity transmission cavity transmission cavity transmission 0.5 0.5 0.5 0.5 2000 2000 2000 2000 0 0 0 0 1 1 1 1 1500 1500 1500 1500 iii iii iii iii 12 MHz 12 MHz 12 MHz 12 MHz 0.5 0.5 0.5 0.5 1000 1000 1000 1000 0 0 0 0 1 1 1 1 iv iv iv iv 19 MHz 19 MHz 19 MHz 19 MHz 500 500 500 500 0.5 0.5 0.5 0.5 0 0 0 0 0 0 0 0 -3 -3 -3 -3 -2 -2 -2 -2 -1 -1 -1 -1 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3 1 1 1 1 frequency (MHz) frequency (MHz) frequency (MHz) frequency (MHz) v v v v 23 MHz 23 MHz 23 MHz 23 MHz 0.5 0.5 0.5 0.5 0 0 0 0 -15 -15 -15 -15 -10 -10 -10 -10 -5 -5 -5 -5 0 0 0 0 5 5 5 5 10 10 10 10 15 15 15 15 frequency (MHz) frequency (MHz) frequency (MHz) frequency (MHz) 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) LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  6. Demonstration of White Light Cavity 0.07 Experiment - λ /500 0.06 Theory λ /400 1.2 0.05 1 cavity transmission mag. (a.u.) 0.8 0.04 0.6 0.03 0.4 0.02 0.2 0.01 0 -6 -4 -2 0 2 4 6 8 -10 -5 0 5 10 frequency (MHz) frequency (MHz) G.S. Pati, M. Messal, K. Salit, M.S. Shahriar, Optics Communications, 281 (19), p.4931-4935, (2008) LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  7. Fast-light in Photorefractive Crystal for WLC 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) LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  8. Fast-light in Photorefractive Crystal for WLC LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  9. Fast-light in Photorefractive Crystal for WLC LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  10. Fast-light in Photorefractive Crystal for WLC LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  11. Fast-light in Photorefractive Crystal for WLC LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  12. Simple (Meers) Model for Signal and Power Recycling NPBS Signal Recycling Mirror Power Recycling Mirror detector LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  13. Enhancing the bandwidth-sensitivity product Intracavity Intracavity Intracavity Intracavity Laser Narrowband Narrowband Narrowband Narrowband Intensity Intensity Intensity Intensity Operation Operation Operation Operation Broadband Broadband Broadband Broadband PRM Operation Operation Operation Operation SRM GW Frequency GW Frequency GW Frequency GW Frequency det Intracavity Intracavity Intracavity Intracavity Intensity Intensity Intensity Intensity Laser Narrowband Narrowband Narrowband Narrowband Operation Operation Operation Operation WLC WLC WLC WLC Operation Operation Operation Operation PRM WLC element GW Frequency GW Frequency GW Frequency GW Frequency SRM det LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  14. Enhancing the bandwidth-sensitivity product 2 0 1 0 5 2 1 0 . 5 0 . 2 1 0 0 2 0 0 5 0 0 1 0 0 0 2 0 0 0 5 0 0 0 LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  15. Enhancing the bandwidth-sensitivity product 1 0 0 WLC / T SRM =0.001 5 0 No WLC / T SRM =0.001 1 0 WLC / T SRM =0.1 5 No WLC / T SRM =0.1 1 No WLC / T SRM =1 0 . 5 1 0 0 2 0 0 5 0 0 1 0 0 0 2 0 0 0 5 0 0 0 LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  16. Signal and Power Recycling in the Presence of Arm Cavities LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  17. Signal and Power Recycling in the Presence of Arm Cavities for signal recycling compound mirror compound mirror for pump recycling LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  18. Sensitivity-Bandwidth Enhancement for AdLIGO Configuration WLC element WLC element LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  19. Sensitivity-Bandwidth Enhancement for AdLIGO Configuration for WLC signal recycling compound mirror Signal Extraction Cavity (SEC) compound mirror for WLC pump recycling LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  20. Sensitivity-Bandwidth Enhancement for AdLIGO Configuration LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  21. Sensitivity-Bandwidth Enhancement for AdLIGO Configuration 7 Tuned Mode 6 Detuned by 20 deg Detuned by 25.2 deg Detuned by 36 deg 5 Detuned by 54 deg 4 3 Without WLC 2 1 2 0 0 4 0 0 6 0 0 8 0 0 1 0 0 0 1 4 1 2 With WLC 1 0 8 6 4 2 2 0 0 4 0 0 6 0 0 8 0 0 1 0 0 0 LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  22. Sensitivity-Bandwidth Enhancement for AdLIGO Configuration 7 Tuned Mode 6 Detuned by 20 deg 5 Detuned by 25.2 deg Detuned by 36 deg Detuned by 54 deg 4 3 Without WLC 2 1 2 0 0 4 0 0 6 0 0 8 0 0 1 0 0 0 1 4 1 2 With WLC 1 0 8 6 4 2 2 0 0 4 0 0 6 0 0 8 0 0 1 0 0 0 LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  23. Proposal for Adding an Auxiliary Mirror for Practical WLC Match SRM to Input Test Mass and tune SEC to resonance compound mirror for pump recycling LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  24. Proposal for Adding an Auxiliary Mirror for Practical WLC WLC Element WLC WLC Element Element compound mirror for pump recycling LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

  25. Proposal for Adding an Auxiliary Mirror for Practical WLC LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207

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