Latham Boyle (Perimeter Institute)

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Latham Boyle (Perimeter Institute). Thoughts on low-frequency gravitational wave astronomy. Single-arm detectors. Single-arm detectors. Single-arm detectors. Single-arm detectors. Single-arm detectors. - PowerPoint PPT Presentation

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Latham Boyle (Perimeter Institute)

Latham Boyle(Perimeter Institute)Thoughts on low-frequency gravitational wave astronomySingle-arm detectorsSingle-arm detectors

Single-arm detectors

Single-arm detectors

Single-arm detectors

hij() = h+()P+ij (n) + h()Pij (n) ( = t n x)

s(t) = h(t) + n(t) ( = 1, . . . , N)

hij() = h+()P+ij (n) + h()Pij (n) ( = t n x)

s(t) = h(t) + n(t) ( = 1, . . . , N)

h(t) = +

dT W(T )hij(t T )P ij

hij() = h+()P+ij (n) + h()Pij (n) ( = t n x)

s(t) = h(t) + n(t) ( = 1, . . . , N)

h(t) = +

dT W(T )hij(t T )P ij

hij() = h+()P+ij (n) + h()Pij (n) ( = t n x)

e.g. P ij = ij or P ij =

ia

ja ibjb

e.g. P ij = ij or P ij =

ia

ja ibjb

n(f)n(f ) = S(f)(f f )

s(t) = h(t) + n(t) ( = 1, . . . , N)

h(t) = +

dT W(T )hij(t T )P ij

hij() = h+()P+ij (n) + h()Pij (n) ( = t n x)

e.g. P ij = ij or P ij =

ia

ja ibjb

h|h =

+

df|h(f)|2S(f)

n(f)n(f ) = S(f)(f f )

s(t) = h(t) + n(t) ( = 1, . . . , N)

h(t) = +

dT W(T )hij(t T )P ij

hij() = h+()P+ij (n) + h()Pij (n) ( = t n x)

h|h = 12sin4()

+

df|W (f)|2 |h+(f)|2

S(f)

h|h = 12sin4()

+

df|W (f)|2 |h+(f)|2

S(f)

h|h = 12sin4()

+

df|W (f)|2 |h+(f)|2

S(f)

h|h = 45

+

df|W (f)|2

(|h+(f)|2 + |h(f)|2

)S(f)

h|h = 12sin4()

+

df|W (f)|2 |h+(f)|2

S(f)

h|h = 45

+

df|W (f)|2

(|h+(f)|2 + |h(f)|2

)S(f)

h|h = 43

+

df|W (f)|2

(|h+(f)|2 + |h(f)|2

)S(f)

h|h = 2 +

df|W (f)|2

(|h+(f)|2 + |h(f)|2

)S(f)

nj =[+cos

2pij5

sin, +sin2pij5

sin, cos]

(j = 1, . . . , 5)

aj =[sin2pij

5, +cos

2pij5

, 0]

bj =[cos2pij

5cos, sin2pij

5cos, sin

]cj = ajcos + bjsindj = bjcos ajsin = 2arctan

23

= arctan

415

h|h = 2 +

df|W (f)|2

(|h+(f)|2 + |h(f)|2

)S(f)

nj =[+cos

2pij5

sin, +sin2pij5

sin, cos]

(j = 1, . . . , 5)

aj =[sin2pij

5, +cos

2pij5

, 0]

bj =[cos2pij

5cos, sin2pij

5cos, sin

]cj = ajcos + bjsindj = bjcos ajsin = 2arctan

23

= arctan

415

h|h = 2 +

df|W (f)|2

(|h+(f)|2 + |h(f)|2

)S(f)

nj =[+cos

2pij5

sin, +sin2pij5

sin, cos]

(j = 1, . . . , 5)

aj =[sin2pij

5, +cos

2pij5

, 0]

bj =[cos2pij

5cos, sin2pij

5cos, sin

]cj = ajcos + bjsindj = bjcos ajsin = 2arctan

23

= arctan

415

h|h = 2 +

df|W (f)|2

(|h+(f)|2 + |h(f)|2

)S(f)

nj =[+cos

2pij5

sin, +sin2pij5

sin, cos]

(j = 1, . . . , 5)

aj =[sin2pij

5, +cos

2pij5

, 0]

bj =[cos2pij

5cos, sin2pij

5cos, sin

]cj = ajcos + bjsindj = bjcos ajsin = 2arctan

23

= arctan

415

h|h = 2 +

df|W (f)|2

(|h+(f)|2 + |h(f)|2

)S(f)

nj =[+cos

2pij5

sin, +sin2pij5

sin, cos]

(j = 1, . . . , 5)

aj =[sin2pij

5, +cos

2pij5

, 0]

bj =[cos2pij

5cos, sin2pij

5cos, sin

]cj = ajcos + bjsindj = bjcos ajsin = 2arctan

23

= arctan

415

h|h = 2 +

df|W (f)|2

(|h+(f)|2 + |h(f)|2

)S(f)

nj =[+cos

2pij5

sin, +sin2pij5

sin, cos]

(j = 1, . . . , 5)

aj =[sin2pij

5, +cos

2pij5

, 0]

bj =[cos2pij

5cos, sin2pij

5cos, sin

]cj = ajcos + bjsindj = bjcos ajsin = 2arctan

23

= arctan

415