Fig.
1
Fig.
2 
Fourier optics
is one of the most elegant branches of classical optics. Using a
Fourier filter,
one can selectively affect the transverse structure of a laser
beam, redistributing its intensity and/or phase. Most important
results concerning this general idea were obtained in 50s70s of
the past century. Nevertheless, the pioneers of Fourier optics
kindly left some minor problems to be solved by their disciples.
Starting our experiments
with both phase and
amplitude Fourier filters,
we developed some new methods for
visualizing the phase
distribution of a
light beam and for optically performing some image processing
operations, such as
differentiation.
Afterwards, we applied these ideas to nonlinear optical systems
with distributed feedback and suggested some new methods for
controlling the properties of optical patterns generated by such
systems.
In 1999 we had a
Cooperation Agreement with
LG Electronics
(South Korea), which concerned the development of concepts of
Fourier opticsbased inspection of shadow masks for CRT
monitors. The abstract of our final report can be found
[
here
].

PUBLICATIONS:
Larichev A.V., Nikolaev
I.P., Costamagna S., and Violino P., Advanced phase knife
technique, Opt. Comm. 121 (1995) 95.
Nikolaev I.P., Larichev
A.V., Shmal'gauzen V.I., Controlled optical structures in a
nonlinear system involving the suppression of low spatial
frequencies in the feedback loop, Quantum Electron. 30 (2000)
617.
Nesterouk K.S., Nikolaev
I.P., and Larichev A.V., Image differentiation with the aid of a
phase knife, Optics and Spectroscopy 91 (2001) 295. 