This article examines the use of a Shack–Hartmann wave front sensor to accurately measure the line-integrated electron density gradient formed in laser-produced and Z-pinch plasma experiments. The minimum discernable line-integrated density gradient is derived for the Shack–Hartmann wave front sensor, as well as its range of applicability. A laboratory comparison between a Shack–Hartmann wave front sensor and a Twyman–Green interferometer is also presented. For this comparison, a liquid-crystal spatial-light modulator is used to introduce a spatially varying phase onto both of the wave front sensors, simulating a phase profile that could occur when a probe passes through a plasma. The phase change measured by the Shack–Hartmann sensor is then compared directly with the Twyman–Green interferometer. In this article, the merits associated with the use of a Shack–Hartmann sensor are discussed. These include a wide dynamic range, high optical efficiency, broadband or low coherence length light capability, experimental simplicity, two-dimensional gradient determination, and multiplexing capability.

1.
G. E.
Busch
,
Rev. Sci. Instrum.
56
,
879
(
1985
).
2.
B.
Moosman
et al.,
Rev. Sci. Instrum.
67
,
170
(
1996
).
3.
R. S.
Craxton
et al.,
Phys. Fluids B
12
,
4419
(
1993
).
4.
I. H. Hutchinson, Principles of Plasma Diagnostics (Cambridge University Press, Cambridge, 1987).
5.
J. W. Hardy, Adaptive Optics for Astronomical Telescopes (Oxford University Press, New York, 1998).
6.
S. S.
Olivier
et al.,
Proc. SPIE
2534
,
26
(
1995
).
7.
B. M.
Levine
et al.,
Appl. Opt.
37
,
4553
(
1998
).
8.
J. A.
Koch
et al.,
Appl. Opt.
39
,
4540
(
2000
).
9.
B.
Schafer
and
K.
Mann
,
Rev. Sci. Instrum.
71
,
2663
(
2000
).
10.
G. A.
Tyler
and
D. L.
Fried
,
J. Opt. Soc. Am.
72
,
804
(
1982
).
11.
M.
Takeda
,
H.
Ina
, and
S.
Kobayashi
,
J. Opt. Soc. Am.
72
,
156
(
1982
).
12.
M. Kujawinska, in Interferogram Analysis, edited by D. W. Robinson and G. T. Reid (Institute of Physics Publishing, Bristol, 1993).
13.
J. J. H.
Hunter
and
R. A.
London
,
Phys. Fluids
31
,
3102
(
1988
).
14.
R. A.
London
and
M. D.
Rosen
,
Phys. Fluids
29
,
3813
(
1986
).
15.
K. L.
Baker
et al.,
Phys. Plasmas
6
,
4284
(
1999
).
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