Phase Conjugate Laser Optics

Chapter 5.4.2.2 - Long-pulse energy extraction

5.4.2.2   Long-pulse energy extraction   For a given laser amplifier chain, it
is possible in theory to generate any desired output temporal pulse shape by correctly
tailoring the input pulse shape, taking into account the effects of energy extraction
and total system gain. In order to determine this optimal input shape for a 500-ns
rectangular pulse, a straightforward numerical treatment of the long-pulse extraction
problem can be made. In the case of a solid-state energy storage medium such as
Nd:glass, the fluorescence lifetime of ~ 300 μs and flashlamp pulse duration of
~ 250 μs are significantly longer than the total duration of the energy extraction
process which, in the case of this laser system, is ≤1 μs. Based on this, it can be
assumed that essentially no gain pumping occurs during the amplification of the
injected pulse. It can then be shown [32] that the required input shape has an
exponentially rising leading edge with a time constant τ defined by

 

where Fsat is the saturation fluence (J/cm2), Iout is the desired output irradiance
(W/cm2), A is the beam area in the amplifier (cm2), Pout is the desired output power
(W), and n is the number of amplifier passes. It is intuitively reasonable that to
generate a constant output power from the amplifier system, an exponentially rising
seed laser input power is required. As energy is extracted from the laser amplifier at
a constant rate, the gain decreases exponentially. An exponentially rising input pulse
profile can therefore be used to compensate this loss in gain, maintaining near-
constant output power during the pulse. In the case of the laser system described
here, our output energy goal was 40 J in a 500-ns pulse (80 MW) after the last of the
eight gain passes. This would then ensure an energy of >30 J (60 MW) in the beam
after it is reformatted in the anamorphic telescope and coupled out through the
Faraday optical isolation stage to the harmonic converter. With an Fsat = 5 J/cm2
for the Schott APG-1 laser glass used for the zigzag slab and a beam area of
0.7 × 12 cm2, a simple application of the above formula yields an optimal
exponential time constant τ = 65 ns for the injected seed pulse. This very simple
derivation does not take into account optical losses for the components of the beam
train and linear absorption in the amplifier glass. However, it provides a very
effective tool for configuring the pulse shape of the injected pulse. We
experimentally verified that a time constant of 60ns provides the desired 60 MW
over 500 ns (30 J / pulse) to the second harmonic converter.

UNLIMITED FREE
ACCESS
TO THE WORLD'S BEST IDEAS

SUBMIT
Already a GlobalSpec user? Log in.

This is embarrasing...

An error occurred while processing the form. Please try again in a few minutes.

Customize Your GlobalSpec Experience

Category: Lasers
Finish!
Privacy Policy

This is embarrasing...

An error occurred while processing the form. Please try again in a few minutes.