Achromatic reconstruction of the wave front of
femtosecond laser pulses
D. A. Dement’ev
N. N. Andreev Acoustics Institute, 117036 Moscow, Russia
A. L. Ivanov, O. B. Serov, A. G. Stepanov, and S. V. Chekalin
a)
Institute of Spectroscopy, Russian Academy of Sciences, 142092 Troitsk, Moscow Region,
Russia
A. M. Smolovich
Central Office of Design of Unique Instrumentation, Russian Academy of Sciences,
117342 Moscow, Russia
Submitted 10 January 1997
Pis’ma Zh. E
´
ksp. Teor. Fiz. 65, No. 5, 388–390 10 March 1997
Wave-front reconstruction by geometric-optical reflection of the recon-
structing radiation from interference surfaces of a structure recorded in
the bulk of a medium by counterpropagating laser pulses is observed.
The recording is done with the aid of a sapphire titanate laser. Pulse
durations of 30–40 fs are used. © 1997 American Institute of Physics.
S0021-36409700505-7
PACS numbers: 42.40.Kw, 42.15.Dp, 42.40.Ht
This paper reports an experimental check of the following mechanism of wave-front
reconstruction.
1
Let the interference pattern of the object A
0
( r)expikL
0
(r) and reference
A
R
expikL
R
(r) waves, satisfying the scalar equations of geometric optics, be recorded
in a bulk medium. Here k =2 / is the wave number and is the wavelength of the
radiation, L
0
( r) and L
R
( r) are the eikonals of the waves, A
0
( r) and A
R
are the ampli-
tudes of the waves, and r is the coordinate vector. Under the conditions of geometric-
optical reflection of the reconstructing wave A
C
expik'L
R
(r) from the surface of con-
stant phase difference of the object and reference waves
L
R
r -L
0
r = p , 1
where p is a constant for a given surface, the phase k ' L
refl
( r) of the reflected wave on
this surface equals the phase of the incident wave
k ' L
refl
r =k ' L
R
r . 2
It follows from Eqs. 1 and 2 that
L
refl
r =L
0
r + p , 3
i.e., to within an additive constant, the eikonal of the object wave is reconstructed for an
arbitrary value of the wave vector k ' . Hence follows achromatic reconstruction of the
wave front — the surface L
0
( r) = const.
402 402 0021-3640/97/050402-03$10.00 © 1997 American Institute of Physics