FASTLITE DAZZLER - Frequency Calibration

DAZZLER
TM
system manual Part I : installation & operation 2.3
Amplitude Phase
A
dial
(ω) = f(ω).g(ω) φ
dial
(ω) = h(ω)
f(ω) = exp −((ω − ω
0
)/δω
0
)
6
h(ω) = −(a
1
· (ω − ω
0
) +
a
2
2
· (ω − ω
0
)
2
+
a
3
6
· (ω − ω
0
)
3
+
a
4
24
· (ω − ω
0
)
4
)
ω
0
= 2πC/λ
0
λ
0
= position a
1
= delay a
2
= second order
χ
0
= δλ
0
/(2λ
0
) δλ
0
= width a
3
= third order a
4
= fourth order
δω
0
= ω
0
· (χ
0
− χ
3 0
)
g(ω) = 1 − k · exp −((ω − ω
1
)/δω
1
)
2
ω
1
= 2πC/λ
1
λ
1
= hole position
χ
1
= δλ
1
/(2λ
1
) δλ
1
= hole width
δω
1
= ω
1
· (χ
1
− χ
3 1
)/2 k = hole depth
Selector Control Setting
dials A(ω) = A
dial
(ω) polynomial φ(ω) = φ
dial
(ω)
file A(ω) = A
file
(ω) file φ(ω) = φ
file
(ω)
both A(ω) = A
dial
(ω) · A
file
(ω) both φ(ω) = φ
dial
(ω) + φ
file
(ω)
Spectrum combinations
S(ω) = A(ω) · exp (i · φ (ω)) + a · exp (i · φ) · S
saved
(ω)
In the table above, S(ω) corresponds to the AOPDF optical transfer function (H(ω), section2.1.3).
V3.00 - 8
th
April 2019 (ContentsTable) (FiguresTable) 14/94