Phase Conjugate Laser Optics

Chapter 2 - Principles of Phase Conjugating Brillouin Mirrors

AXEL HEUER and RALF MENZEL
University of Potsdam, Institute of Physics, Chair of Photonics,
14469 Potsdam, Germany


2.1   INTRODUCTION


Stimulated Brillouin scattering (SBS) is one of the most common nonlinear optical
processes for achieving phase conjugating mirrors [1]. Although SBS is a third-order
nonlinear process, it can be driven by one pump beam, only, which will finally be
phase conjugate reflected in the SBS volume mirror [2]. As a result, phase conjugating
SBS mirrors are simple self-pumped devices that can easily be applied in master
oscillator double-pass amplifier (MOPA) configurations [3–5] or as high-reflecting
mirrors in laser oscillators [6]. The wavefront inversion with respect to the propagation
direction of the light, the phase conjugation, allows for the compensation of phase
distortions from, for example, the active material in solid-state lasers in the second
pass. As a result, almost ideal wavefronts can be obtained at the output of these lasers.
Thus, the beam quality of such laser systems containing phase conjugating SBS
mirrors can be diffraction-limited, although the phase distortions from the highly
pumped and thus strongly thermally stressed active material would not allow
beam propagation factors better than 10. Therefore, these phase conjugation SBS
mirrors find applications in high brightness solid-state laser systems [3–6].

Although the nonlinear optical process of the SBS phase conjugation does not
have a threshold in the sense of (for example) the laser threshold, an onset of,
reflection can be observed as a function of the incident pump power or pump pulse
energy. Therefore, an SBS threshold can be defined for a reflectivity of, for example,
1% or 2% [2]. At high incident pump powers or pulse energies the nonlinear
reflectivity of the SBS mirror saturates in the best cases very close to 1. The highest
observed reflectivities were above 95%. In between, a strong increase of reflectivity
can be obtained, and usually pump powers or pulse energies 10–20 times above the
threshold value are sufficient for practical applications.

Finally, the phase conjugating SBS mirror as nonlinear optical device can be
characterized by this threshold value, maximum reflectivity, the dynamic range, and
the fidelity of the phase conjugation. In addition, the useful wavelength range, size,
and toxicity may be important for practical use. Because the buildup of the phase
conjugating mirror in the SBS materials is based on interference effects in the volume,
the coherence demands of the pump light are another important feature. While for
very narrow bandwidth lasers with very long coherence lengths in the range of
kilometers the SBS threshold can be very low, for practical purposes SBS mirrors
with coherence demands in the range of less than 1 m are required.

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