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chapter 2
Physics
The Dazzler system is an Acousto-Optic Programmable Dispersive Filter (AOPDF). This chap-
ter briefly describes the physical principles of the device. All the figures illustrate the standard
AOPDFs configuration based on a Paratellurite crystal (TeO2).
2.1
AOPDF principle
In an AOPDF, the pulse shaping mechanism arises from a copropagative interaction between
a polychromatic acoustic wave and a polychromatic optical wave in a birefringent crystal with
acousto-optic properties. When the right physical conditions are met (the so-called phase-
matching conditions), the input optical and acoustic beams interact and give rise to a new
optical beam, which is referred to as the diffracted beam. Section
describes the phase-
matching conditions whereas section
details one special feature of the acousto-optic in-
teraction in an AOPDF: the collinearity in terms of Poynting vectors. Section
gives more
details on the pulse-shaping mechanism.
2.1.1
Phase-matching conditions
As for all three-wave mixing processes, the phase-matching condition for monochromatic plane
waves is defined by two conditions:
•
wave-vector conservation (momentum conservation)
•
frequency conservation (quantum energy conservation)
Mathematically, these conditions can be expressed as:
(
~k
diff
(
ω
opt,diff
) =
~k
in
(
ω
opt,in
) +
~k
ac
(
ω
ac
)
ω
opt,diff
=
ω
opt,in
+
ω
ac
(2.1)
where (
~k
diff
, ω
opt,diff
), (
~k
in
, ω
opt,in
) and (
~k
ac
, ω
ac
) stand for the wave-vectors and angular frequen-
cies of the optical diffracted beam, optical input beam and acoustic beam respectively.
For the standard AOPDFs, based on TeO
2
, the input optical beam is usually
ordinary
polarized,
the diffracted beam is
extraordinary polarized
and the acoustic beam is a shear wave.
Since the velocity of sound in crystals is much lower than the velocity of light, the acoustic
frequency is completely negligible with respect to that of light (
ω
ac
ω
opt
) so that the phase-
matching condition reads finally:
6