Phase Conjugate Laser Optics

Chapter 1 - Overview of Phase Conjugation

JEAN-PIERRE HUIGNARD and ARNAUD BRIGNON
Thales Research and Technology—France, 91404 Orsay, France


1.1   GENERAL INTRODUCTION

The discovery in the early 1970 by Zel’dovich et al. [1] that a nonlinear process could
generate a phase conjugate replica of a complex incident wavefront has opened a
wide interest in the laser and optics community. Since the first experiments done with
a ruby laser and Brillouin scattering in a gas cell, the field of optical phase
conjugation has stimulated a lot of research and development activities that cover
both the fundamental and applied parts of the field of laser optics. The important new
aspects of optical phase conjugation which are of prime interest are the following:
first, phase conjugation is a nonlinear mechanism that reverses both the direction of
propagation and the phase of an aberrated wavefront; second, the generation of the
conjugate beam can be viewed as a dynamic holographic recording process in a
medium that exhibits a third-order nonlinearity. Such an unconventional optical
device is now known as a phase conjugator or a nonlinear phase conjugate mirror.
The major applications of phase conjugation will rely on these remarkable physical
properties, which are illustrated in Fig. 1.1. It shows the now well-known comparison
between a classical mirror on Fig. 1.1a which satisfies the conventional reflection law
for the incident wavefront, while Fig. 1.1b shows the function of a nonlinear mirror
which reverses the sign of the incident wave vector at any point of the incident
wavefront propagating in the +z direction. In other words, if Ei = Eiexp(0t - ikiz)
is the incident scalar optical field expression, the returned conjugate field Ec due to
the nonlinear mirror is expressed by Ec = Ei* exp(0t + ikiz). This field propagates
in the -z direction with complex amplitude Ei* and at frequency ω0. We will show
later that the intensity of the conjugate field is affected in the general case by a
nonlinear reflection coefficient R (R can be larger than one) and in some interactions
by a slight frequency shift δ << ω0. Figure 1.2 illustrates the situation where an
incident wavefront is disturbed by an aberrating medium (atmospheric turbulence,
passive or active optical components, etc.).

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