selim shahriar, northwestern university
DESCRIPTION
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. - PowerPoint PPT PresentationTRANSCRIPT
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
L. A. P. T.
L. A. P. T.
L. A. P. T.
L. A. P. T.
Selim Shahriar, Northwestern University
Laboratory of Atomic and Photonic Technologies
URL: http://lapt.ece.northwestern.edu
Northwestern University Gravitational Wave AstrophysicsWorkgroup (Head: Vicky Kalogera)
LIGO G0900207
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
White Light Cavity: Basic Idea
Negative Dispersion Medium
Source Laser=2Co/(n)
• 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
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
Active Superluminal Cavity: Superluminal Ring Laser (SRL)
Gain Medium
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
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
Cavity Resonance Cavity Resonance ConditionCondition ((cc= = oo))
Dispersive Medium
Pump
Probe
Opticalpump
Cavitylock
= medium length
Phase-sensitivedetection
Probe frequency ()o
Probe frequency ()o
Probe frequency ()o
Probe frequency ()o
Pos. Dispersion
Neg. Dispersion
Cavity Resonance Cavity Resonance ConditionCondition ((cc= = oo))
Dispersive Medium
Pump
Probe
Opticalpump
Cavitylock
= medium length
Phase-sensitivedetection
Dispersive Medium
Pump
Probe
Opticalpump
Cavitylock
= medium length
Phase-sensitivedetection
Probe frequency ()o
Probe frequency ()o
Probe frequency ()o
Probe frequency ()o
Pos. Dispersion
Neg. Dispersion
Demonstration of White Light Cavity
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
10 15 20 256
8
10
12
14
16
18(c)
gain separation (MHz)
cavi
ty L
W (M
Hz)
o expt. dataestimated
(c)
10 15 20 256
8
10
12
14
16
18(c)
gain separation (MHz)
cavi
ty L
W (M
Hz)
o expt. dataestimated
o expt. dataestimated
(c)
frequency (MHz)ca
vity
bui
ldup
-3 -2 -1 0 1 2 30
500
1000
1500
2000
2500
3000
WLCempty cavity(d)
frequency (MHz)ca
vity
bui
ldup
-3 -2 -1 0 1 2 30
500
1000
1500
2000
2500
3000
WLCempty cavityWLCempty cavity(d)0
0.5
1
0
0.5
1
0
0.5
1
0
0.5
1
-15 -10 -5 0 5 10 150
0.5
1
frequency (MHz)
cavi
ty tr
ansm
issi
on
cavity res.
8 MHz
12 MHz
19 MHz
23 MHz
(b) i
ii
iii
iv
v
0
0.5
1
0
0.5
1
0
0.5
1
0
0.5
1
-15 -10 -5 0 5 10 150
0.5
1
frequency (MHz)
cavi
ty tr
ansm
issi
on
cavity res.
8 MHz
12 MHz
19 MHz
23 MHz
(b) i
ii
iii
iv
v
00.5
1
00.5
1
00.5
1
00.5
1
-15 -10 -5 0 5 10 150
0.51
cavity res.
= 8 MHz
12 MHz
19 MHz
23 MHz
frequency (MHz)
cavi
ty tr
ansm
issi
on
(a)i
ii
iii
iv
v
00.5
1
00.5
1
00.5
1
00.5
1
-15 -10 -5 0 5 10 150
0.51
cavity res.
= 8 MHz
12 MHz
19 MHz
23 MHz
frequency (MHz)
cavi
ty tr
ansm
issi
on
00.5
1
00.5
1
00.5
1
00.5
1
-15 -10 -5 0 5 10 150
0.51
cavity res.
= 8 MHz
12 MHz
19 MHz
23 MHz
frequency (MHz)
cavi
ty tr
ansm
issi
on
(a)i
ii
iii
iv
v
10 15 20 256
8
10
12
14
16
18(c)
gain separation (MHz)
cavi
ty L
W (M
Hz)
o expt. dataestimated
(c)
10 15 20 256
8
10
12
14
16
18(c)
gain separation (MHz)
cavi
ty L
W (M
Hz)
o expt. dataestimated
o expt. dataestimated
(c)
frequency (MHz)ca
vity
bui
ldup
-3 -2 -1 0 1 2 30
500
1000
1500
2000
2500
3000
WLCempty cavity(d)
frequency (MHz)ca
vity
bui
ldup
-3 -2 -1 0 1 2 30
500
1000
1500
2000
2500
3000
WLCempty cavityWLCempty cavity(d)0
0.5
1
0
0.5
1
0
0.5
1
0
0.5
1
-15 -10 -5 0 5 10 150
0.5
1
frequency (MHz)
cavi
ty tr
ansm
issi
on
cavity res.
8 MHz
12 MHz
19 MHz
23 MHz
(b) i
ii
iii
iv
v
0
0.5
1
0
0.5
1
0
0.5
1
0
0.5
1
-15 -10 -5 0 5 10 150
0.5
1
frequency (MHz)
cavi
ty tr
ansm
issi
on
cavity res.
8 MHz
12 MHz
19 MHz
23 MHz
(b) i
ii
iii
iv
v
00.5
1
00.5
1
00.5
1
00.5
1
-15 -10 -5 0 5 10 150
0.51
cavity res.
= 8 MHz
12 MHz
19 MHz
23 MHz
frequency (MHz)
cavi
ty tr
ansm
issi
on
(a)i
ii
iii
iv
v
00.5
1
00.5
1
00.5
1
00.5
1
-15 -10 -5 0 5 10 150
0.51
cavity res.
= 8 MHz
12 MHz
19 MHz
23 MHz
frequency (MHz)
cavi
ty tr
ansm
issi
on
00.5
1
00.5
1
00.5
1
00.5
1
-15 -10 -5 0 5 10 150
0.51
cavity res.
= 8 MHz
12 MHz
19 MHz
23 MHz
frequency (MHz)
cavi
ty tr
ansm
issi
on
(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
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 0 2 4 6 80
0.2
0.4
0.6
0.8
1
1.2
frequency (MHz)
cavi
ty tr
ansm
issi
on
-/500 /400 Theory
-10 -5 0 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
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
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
Fast-light in Photorefractive Crystal for WLC
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
Fast-light in Photorefractive Crystal for WLC
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
Fast-light in Photorefractive Crystal for WLC
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
Fast-light in Photorefractive Crystal for WLC
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
Simple (Meers) Model for Signal and Power Recycling
detector
Power Recycling Mirror Signal Recycling Mirror
NPBS
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
Enhancing the bandwidth-sensitivity product
IntracavityIntensity
GW Frequency
Narrowband Operation
Broadband Operation
IntracavityIntensity
GW Frequency
Narrowband Operation
WLC Operation
IntracavityIntensity
GW Frequency
Narrowband Operation
Broadband Operation
IntracavityIntensity
GW Frequency
Narrowband Operation
WLC Operation
IntracavityIntensity
GW Frequency
Narrowband Operation
Broadband Operation
IntracavityIntensity
GW Frequency
Narrowband Operation
WLC Operation
IntracavityIntensity
GW Frequency
Narrowband Operation
Broadband Operation
IntracavityIntensity
GW Frequency
Narrowband Operation
WLC Operation
Laser
PRM
SRM
det
Laser
PRM
SRM
det
WLC element
IntracavityIntensity
GW Frequency
Narrowband Operation
Broadband Operation
IntracavityIntensity
GW Frequency
Narrowband Operation
WLC Operation
IntracavityIntensity
GW Frequency
Narrowband Operation
Broadband Operation
IntracavityIntensity
GW Frequency
Narrowband Operation
WLC Operation
IntracavityIntensity
GW Frequency
Narrowband Operation
Broadband Operation
IntracavityIntensity
GW Frequency
Narrowband Operation
WLC Operation
IntracavityIntensity
GW Frequency
Narrowband Operation
Broadband Operation
IntracavityIntensity
GW Frequency
Narrowband Operation
WLC Operation
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
Enhancing the bandwidth-sensitivity product
100 200 500 1000 2000 5000
0.2
0.5
1
2
5
10
20
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
Enhancing the bandwidth-sensitivity product
100 200 500 1000 2000 5000
0.5
1
5
10
50
100
No WLC / TSRM =1
No WLC / TSRM =0.1
No WLC / TSRM =0.001
WLC / TSRM =0.1
WLC / TSRM =0.001
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
Signal and Power Recycling in the Presence of Arm Cavities
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
com
poun
d m
irror
fo
r sig
nal r
ecyc
ling
compound mirror for pump recycling
Signal and Power Recycling in the Presence of Arm Cavities
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
WLC elem
ent
WLC element
Sensitivity-Bandwidth Enhancement for AdLIGO Configuration
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
com
poun
d m
irror
fo
r WLC
sign
al re
cycl
ing
compound mirror for WLC pump recycling
SignalExtractionCavity (SEC)
Sensitivity-Bandwidth Enhancement for AdLIGO Configuration
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
Sensitivity-Bandwidth Enhancement for AdLIGO Configuration
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
200 400 600 800 1000
1
2
3
4
5
6
7Tuned Mode
Detuned by 54 degDetuned by 36 degDetuned by 25.2 degDetuned by 20 deg
200 400 600 800 1000
2
4
6
8
10
12
14
Sensitivity-Bandwidth Enhancement for AdLIGO Configuration
Without WLC
With WLC
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
200 400 600 800 1000
1
2
3
4
5
6
7
Tuned Mode
Detuned by 54 degDetuned by 36 degDetuned by 25.2 degDetuned by 20 deg
200 400 600 800 1000
2
4
6
8
10
12
14
Without WLC
With WLC
Sensitivity-Bandwidth Enhancement for AdLIGO Configuration
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
compound mirror for pump recycling
Match SRM toInput Test Massand tune SECto resonance
Proposal for Adding an Auxiliary Mirror for Practical WLC
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
compound mirror for pump recycling
WLCElement
WLCElement
WLCElement
Proposal for Adding an Auxiliary Mirror for Practical WLC
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
Proposal for Adding an Auxiliary Mirror for Practical WLC
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
100 200 500 1000 2000 5000
0.5
1
5
10
50
100
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
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207
( ') ' '2
t t
g ot t
h Cos t dt dt
Phase Shift Without Anomalous Dispersion
1 1' ' ( ') '2
t t t
ENH o gt t tg g
hdt dt Cos t dtn n
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
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
LVC Meeting 2009: AIC Workgroup: Shahriar / LIGO G0900207