Phase Conjugate Laser Optics

Chapter 5.4.4.5 - Coherence length

5.4.4.5   Coherence length   An important motivation behind the generation of
long-duration, high-energy pulses from this laser system was provided by coherent
imaging applications that required not only the long pulse, but also the narrow
spectral bandwidth that it could provide [48]. A paper published soon after we had
begun work on the the 500-ns laser system called into question the feasibility of
maintaining narrowband output and long coherence length from an SBS phase
conjugate mirror [49]. In this work, the researchers showed that the temporal phase
from a single-focus SBS mirror is characterized by both gradual drifts and abrupt λ /


2 steps that are particularly pronounced for laser pulse durations longer than 10
times the Brillouin acoustic decay constant. The source of these instabilities was
attributed to the noise that initiates and sustains the stimulated scattering process.
At face value, this result would prevent the generation of transform-limited
temporal coherence from an SBS phase conjugated amplifier system. However,
our understanding of the four-wave mixing process in the SBS loop and its
independence of noise at focus to sustain it [47] lead us to believe that we should not
observe these phase drifts with the loop. Measurements of the high-energy pulses
from the laser system confirmed this prediction. Similar conclusions have been
reached by other researchers [50].

In order to measure the coherence length of the 500-ns output pulses, a stabilized
single-frequency diode-pumped Nd:YLF laser operating with CW output was used
as a reference source. Full-aperture attenuated samples of 25-J pulses at 1053 nm
from the phase-conjugated amplifier system were heterodyned with the reference
laser on a 1-GHz PIN photodiode and recorded using a digital oscilloscope. The
reference laser was tuned to an offset of 100–200 MHz from the frequency of the
high-energy laser, and the resulting heterodyne beat was measured. As seen in Fig.
5.25a, the waveforms exhibited good temporal contrast and a smooth temporal
envelope, consistent with the laser pulse shape. Analysis of the beat frequency,



shown in Fig. 5.25b, shows that variation in the output frequency of the laser
generates a cumulative phase error of 0.1 λ peak-to-valley over the entire 700-ns
window, demonstrating excellent frequency stability. The effectiveness of the SBS
loop in providing this phase stability can be readily illustrated by blocking the beam
transmitted through the SBS cell, thus converting the phase conjugate mirror back to
the conventional single-focus geometry. As shown in Fig. 5.25c, the heterodyne beat
becomes unstable and exhibits phase jumps very similar to those reported in Ref. 49.
Although the loop geometry was first adopted to lower the SBS threshold and
increase the temporal amplitude stability, we found that it was also critical to
maintaining near-transform-limited bandwidth in the high power output.

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