April 2016
Intermediate to advanced
764 pages
31h 42m
English
book
Laser-Based Measurements for Time and Frequency Domain Applications
by Pasquale Maddaloni, Marco Bellini, Paolo De Natale
Content preview from Laser-Based Measurements for Time and Frequency Domain Applications
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High-resolution spectroscopic frequency measurements 363
cavity finesse (see Equation 3.43). Therefore, the fractional change in the transmitted power,
caused by the absorbing sample, is derived as
∆P
t
(ν
0
)
P
t
≡
P
t
(p = 0) − P
t
(ν = ν
0
, p)
P
t
(p = 0)
= 1 −
1
(1 + x)
2
=
x(2 + x)
(1 + x)
2
(5.106)
where x = κ
0
pL
eq
/2 with κ
0
≡ κ(ν
0
), ν
0
being the line center frequency in cm
−1
. Now,
if saturation of absorption occurs, a narrow La mb dip appears at the center of the Doppler-
broadened profile. The change in the absor ptio n cross section δκ
0
due to saturation leads
to a variation of the cavity transmission which is given by
δP
t
(ν
0
)
P
t
=
1
P
t
dP
t
(ν
0
, p)
dκ
0
δκ
0
=
pL
eq
(1 + x)
3
δκ
0
=
P
c
P
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