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Intense Lasers: High Average Power talk I High Energy DPSSL Technology Advanced Summer School on Laser Driven Sources of High Energy Particles and Radiation Anacapri, Italy July 9-16, 2017 Andy Bayramian, Al Erlandson, Tom Galvin, Emily


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This work was performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under contract DE-AC52-07NA27344. Lawrence Livermore National Security, LLC

Intense Lasers: High Average Power talk I High Energy DPSSL Technology

Advanced Summer School on “Laser Driven Sources of High Energy Particles and Radiation” Anacapri, Italy July 9-16, 2017

Andy Bayramian, Al Erlandson, Tom Galvin, Emily Link, Kathleen Schaffers, Craig Siders, Tom Spinka, Constantin Haefner Advanced Photon Technologies, NIF&PS

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Andy Bayramian

Intense Lasers: High Average Power Talk I High Energy DPSSL Technology

Advanced Summer School on “Laser Driven Sources of High Energy Particles and Radiation” Anacapri, Italy July 9-16, 2017

Advanced Photon Technologies, 7-2017

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When overheated I just think of the Harding Ice Fields in Alaska

Advanced Photon Technologies, 7-2017

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Amplification of Single Wavelength (Narrowband) High Energy Lasers Used for High Energy Density Science

Depiction of scientists who must amplify narrowband radiation

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Amplification of Multiple Wavelengths (Broadband) typically needed for short pulse operation & secondary sources

Depiction of scientists who must amplify broadband radiation

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Depiction of Scientists Who Must Do Both at Average Power

Class #3

….Remember those Harding Ice Fields

Advanced Photon Technologies, 7-2017

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ELI

Advanced Photon Technologies, 7-2017

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NIF uses a flashlamp-pumped, harmonically-converted, Nd:glass laser for a variety of experiments:

  • Inertial confinement fusion
  • High-energy-density physics
  • Laboratory astrophysics
  • Equation-of-state experiments

The NIF has the highest-energy pulsed laser in the world

4 MJ at 1w 2 MJ at 3w 192 laser beamlines ~1-20 ns pulse

Advanced Photon Technologies, 7-2017

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NIF is the largest in a series of Nd:glass fusion lasers developed for ICF research

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Large DKDP crystals are used in NIF for frequency conversion and the Pockels cell.

Advanced Photon Technologies, 7-2017

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Large Nd:glass laser slabs are used in NIF to amplify laser beams

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We built and tested Mercury, a scale prototype of a diode pumped solid-state laser driver for Inertial Fusion Energy

Constructed 2000-2005 Operated 2005-2009 65J @ 10Hz at 1w Mercury demonstrated important aspects of high average power, diode-pumped solid-state lasers

  • Diode pumping
  • Gas cooling
  • Beam switching
  • Harmonic conversion

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Outline

▪ Design issues for high-energy pulsed lasers ▪ Design issues for DPSSLs

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Laser gain depends on achieving a population inversion

Example: a 4-level laser G(l) = gain coefficient (1/cm or 1/m) Nu = upper laser level population density Nl = lower laser level population density su (l) = stimulated emission cross section for the upper laser level sl (l) = absorption cross section for the lower laser level

) ( ) ( ) ( l s l s l

l l u u

N N G  

Level 4 Level 3 – upper laser level Level 2 – lower laser level Level 1 Laser transition Pump transition

Fast radiationless transition Fast radiationless transition

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Amplification extracts energy from the gain medium

Output beam Output fluence

  • ut

L u

dx z N h l

stored

) (  

Extractable stored fluence for a 4-level laser

Energy conservation says

final stored initial stored in

  • ut

, ,

      

Laser Slab Input beam Input fluence

in

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The Frantz-Nodvik model for saturating amplifiers simplifies gain calculations

1 1

,

  

in G

  • ut

G inital s G

e e e

where

sat stored

initial s

G

 

,

sat in in

G

 

sat

  • ut
  • ut

G

 

e sat

l

h

s 

 

and is the saturation fluence for a four-level laser

inital s G

e

,

is the initial small-signal gain

L.M. Frantz and J.S. Nodvik, Theory of Pulse Propagation in a Laser Amplifier, Journal of Applied Physics 34, pp. 2346-2349 (1063)

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init stored final stored init stored ext , , ,

     

Energy extraction efficiency is often an important

  • perating parameter of the laser

initial s final s initial s

G G G

, , ,

 

  • Stored energy often goes hand in hand with the cost of the amplifier
  • High extraction efficiency is important for getting the most out of

investments

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High extraction efficiency causes the amplified pulse to be distorted

Small-signal gain time high fluence pulse, high ext low fluence pulse, low ext Gain in the amplifier falls as energy is extracted

amplifier the into photon last the

  • f

Gain amplifier the into photon first the

  • f

Gain  SPD

“Square pulse distortion” (SPD) is used to quantify the beam shape distortion

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The input pulse can be shaped to compensate for gain saturation

Square Input Pulse Falling Input Pulse Rising Input Pulse Square Output Pulse

Power time time Power

With compensation Without compensation For example, pulse shaping can be accomplished using EO modulators to make an “arbitrary waveform generator” (AWG)

  • Waveguides on a LiNbO3 chip
  • Voltage applied across one of the arms of the

interferometer changes transmission

  • The NIF AWGs have a temporal contrast ratio
  • f ~ 275:1
  • SPD of ~ 20:1 or more can be compensated
  • Repetition rate is 960 Hz

Le Nguyen Binh and Itzhak Shraga, “An Optical Fiber Dispersion Measurement Technique and System,” MECSE-14-2005, Monash University Technical Report, Monash University, Australia (2005).

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  • Damage at ns pulselengths is typically not intrinsic to optical materials
  • Damage occurs when small defects in optics absorb enough laser energy to

cause adjacent material to undergo change

  • often in optical coatings and just beneath polished surfaces
  • Damage depends on the defect type and on laser fluence and pulselength
  • Defect types, sizes and densities depend on manufacturing techniques

Optical damage is an important consideration in laser design

Damage is the typical limiting issue for operating fluences & extraction efficiency

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On the optical side, it is critical that every effort be made to improve the quality of the optic and its surfaces

5 10 15 20 25 10 10

1

10

2

10

3

10

4

10

5

10

6

10

7

After Mitigation 2009 finish 1997 finish

3w Fluence Distribution

1.8MJ NIF, 1000 Shots

2010 AMP Treatment

Initiations per NIF-size Optic

3w 3ns fluence (J/cm2)

Beam Contrast 10%

Example: NIF fused silica 3w optics

LLNL has developed methods for quantifying and reducing damage

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Concept

  • Amplify the beam up to the safe operating fluence in each stage
  • Use a magnifying telescope to increase the beam size and to reduce fluence
  • Amplify the beam up to the safe operating fluence again
  • Repeat the process until sufficient energy has been produced

Magnifying the beam size between amplifier stages reduces damage risk

Amplifier #1 Amplifier #2 Amplifier #3 Telescope Telescope

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  • Small scratches, contaminate particles and other defects on the optics

seed the beam with small phase and amplitude modulation

  • Diffraction causes small phase and amplitude modulations to grow as

the beam propagates

  • The effective propagation distance is reduced by re-imaging a beam-

defining aperture to the middle of the amplifiers

  • Passing the beam through a small aperture at the focal spot (Fourier

plane) of the telescope removes high-spatial-frequency features

Image relaying and spatial filtering by the telescopes reduces the growth of small-scale intensity modulation

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Diffraction ripples develop near the edges of the beam if the beam has a sharp intensity cutoff

  • intensity spikes increase damage risk

Apodization, in which the intensity is decreased gradually near the edge, is used to control edge diffraction

In designing apodizers, diffractive effects trade off against beam fill factor

Apodizers can be made using serrated apertures or with metallic masks deposited on a transparent substrate using photolithography

Apodization is used to control diffraction at the beam edges

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High intensity at spatial filters is an issue

  • Temperature exceeds pinhole melt / vaporization threshold

causing pinholes degrade over time

  • Vaporized material can coat telescope optics
  • Plasma expands into the beam and absorbs light or causes

wavefront distortion (“pinhole closure”)

High Intensity Issues

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A solution to pinhole closure on multipass systems is separate spatial-filter pinholes for each pass

Example: 4 pinholes at the focal plane of a spatial filter Pass #1 Pass #2 Pass #3 Pass #4 Cavity end mirrors are tilted to align beam focal spots to the pinholes

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  • Beam intensity can be high enough to change the refractive index

Non-linear effects can cause intensity modulation to grow

I n n   

  • Intensity spikes cause a local lens which self-focuses the spike, causing

irradiance to increase, which causes more self-focusing…runaway!

  • Nonlinear propagation effects scale with the nonlinear phase shift, which is

given by the “B” integral along the beam path:

 dz ) ( 2 z I B  l 

where: n0 is the refractive index at zero irradiance  is the nonlinear index coefficient I is the irradiance

  • Keeping B < ~ 2 radians between spatial filters is good practice for avoiding

excessive growth of small-scale features, depending on optics quality

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Double-passing the beam through an amplifier reduces cost by improving extraction efficiency

Amplifier #1 Telescope Amplifier #3 Mirror

input

  • utput

Example: near-field angle multiplexing

  • The middle amplifier, #2, has been eliminated!
  • You don’t get something for nothing, however
  • it may be necessary to store more energy in amplifier #3 to make up for the

energy provided previously by amplifier #2

  • the aperture of amplifier #3 might need to be made larger to accommodate the
  • ffset of the beam between passes (“vignetting”)

vignetting

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Far-field multiplexing is another way to lower cost and improve extraction efficiency

  • There is less vignetting loss than for near-field multiplexing
  • The offset between pinholes must be sufficient for the output beam to miss

the injection mirror

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Active polarization control is another way to achieve lower cost and efficient extraction

Pockels Cell Telescope Amplifier Polarizer Mirror

input

  • utput
  • The Pockels cell is a voltage-controlled waveplate
  • that does not rotate the beam polarization when voltage applied is zero
  • that rotates the polarization by 90° when an appropriate voltage is applied

Relay plane Relay plane

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The NIF laser uses the features we’ve discussed

NIF uses:

  • gain saturation
  • beam apodization
  • image relaying
  • spatial filtering
  • far-field angle multiplexing
  • active polarization control using a Pockels cell

Pockels cell Harmonic converter

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What changes do we need to make to design a high energy laser at high average power?

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We designed a DPSSL for inertial fusion energy that uses gas-cooled Nd:glass amplifiers (~2012)

Diode pumps  high efficiency (18%) Helium cooled amps  high repetition rate (16 Hz) with low stress Normal amp slabs  compensated thermal birefringence, compact amp Passive switching  performs at repetition rate Lower output fluence  less susceptible to optical damage

16 J/cm2 1w 3.9 J/cm2 3w

Diodes Diodes

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  • Achieving high overall efficiency
  • Managing thermal wavefront distortion, birefringence and stress that arises

from heating and cooling of components

  • Laser slabs
  • Pockels cell
  • Harmonic converter
  • Avoiding wearout of the spatial filter apertures

Key issues

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High-efficiency strategy

  • Minimize decay losses during the pumping process
  • Pump with high-intensity diode light for a time << decay time
  • Use apertures smaller than NIF’s to reduce amplified spontaneous emission

loss

  • Use a pump profile with a high fill factor that gain-shapes the

extracting beam

  • Minimize absorption by the thermally-populated lower laser level (cooling)
  • Minimize concentration quenching
  • Use low ion-doping concentrations
  • Absorb nearly all the pump light
  • Stack slabs so pump light has a long absorption path length
  • Extract nearly all the available stored energy
  • Operate at fluences well above the saturation fluence
  • Use stored fluence several times the saturation fluence
  • Use circularly-polarized light (1/3rd less nonlinear phase shift)
  • Multipass the extracting beam
  • Keep passive optical losses low
  • Relay the beam to the middle of each amplifier to minimize edge losses
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Relative to Nd:APG-1, Yb:YAG needs fewer diodes to meet efficiency goals but must operate at cryo temperatures

Yb:YAG, 200 K Yb:YAG, 232 K Yb:YAG, 175 K Yb:YAG, 150 K Nd:APG-1, 326 K

  • 25-cm aperture
  • 72% diode efficiency
  • 0.9995 AR-coating

transmittance

  • efficiency includes

cooling power

  • diode power is for

2.2 MJ @ 3w

  • Yb-doped gain media have ~ 3x longer storage lifetimes
  • But cryo Yb:YAG requires more power for cooling

Yb:S-FAP, 295 K

164 ms 200 ms 300 ms 400 ms 600 1000 ms 125 ms 164 ms 200 ms 300 ms 400 ms = Diode Pulse Duration Yb:YAG 200 K Nd:APG-1 Yb:S-FAP Yb:YAG at 150 K

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  • Radiationless transitions occur when excited ions give up energy to phonons

in the substrate matrix

  • The approximate fraction of absorbed energy converted to heat is the

“quantum defect”

A fraction of the absorbed pump light is converted to heat in the laser slabs

Level 4 Level 3 – upper laser level Level 2 – lower laser level Level 1 Laser transition Pump transition

Fast radiationless transition Fast radiationless transition

HEAT HEAT

laser pump pump laser

h h l l       1 1 fraction heat

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LLNL uses helium gas cooling to remove heat from the slabs first on Mercury and now on HAPLS systems

Details

  • 14 Yb:S-FAP slabs
  • Fast helium flow between slabs
  • Aerodynamic vanes

Helium gas cooling for laser amplifiers was developed by LLNL in 1989* Method first fully deployed at high average power on Mercury laser project (2000)

  • G. F. Albrecht ; J. Z. Holtz ; S. B. Sutton ; W. F. Krupke, “Gas cooled slab scaling laws and representative designs,” Proc.

SPIE, 1040, 56-65,1989.

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Pumping and cooling produce an nearly parabolic temperature profile through the slab thickness

Temperature profile

DT0

Laser slab t z

Pv is the thermal power per unit volume k is the thermal conductivity E is Young’s modulus a is the thermal expansion coefficient u is Poisson’s ratio

JL Emmett, WF Krupke and WR Sooy, The Potential of High-Average-Power Solid State Lasers, UCRL-53571, Lawrence Livermore National Laboratory, Livermore, CA (1984)

𝚬𝚼 𝒜 =𝚬𝚼𝟏 𝟐 −

𝟓𝒜𝟑 𝒖𝟑

𝚬𝚼𝟏 = 𝑸𝒘𝒖𝟑 𝟗𝝀 𝝉𝑼 = 𝟑𝜷𝚬𝑼𝟏𝑭 𝟒(𝟐 − 𝝃)

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Optical finishing defects are seed locations for “high average power” crack growth

  • To avoid fracture, it is wise to keep tensile stress << yield stress
  • Yield stress can be estimated from the Griffith fracture criterion

a K C

yield

2

1

 s 

where K1C is the fracture toughness of the material, and a is the radius of the crack

  • J. Menck, Strength and fracture of glass and ceramics, Elsevier, New York, pp. 99-151 (1992)
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Slabs develop transverse temperature gradients causing

  • ptical path length gradients and stress depolarization

Static corrector plates placed near the amplifiers compensate for most of the wavefront distortion

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Thermally induced depolarization in isotropic media can be minimized with polarization rotation

l, 4-wave plate polarizers Pockels cell Quartz rotator Spatial filter Relay Relay Amp 1 Amp 2

Architecture Polarized transmission of amplifier components 1 slab 1 amplifier (22 slabs) 2 amplifiers (compensated)

1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0

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Spatial filtering with orthogonal slits demonstrated on HAPLS to eliminate wearout of the spatial filters f f g

horizontal filter

  • utput beam

vertical filter

  • Fluences at the slits are much lower than fluences at the round pinholes
  • below thresholds for material ablation and for plasma formation
  • no “pinhole closure”, sputtering of material onto optics nor enlargement of

the pinhole with time

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LLNL delivered HAPLS, a petawatt system capable of 30J compressed to 30fs at 10Hz to ELI-Beamlines

The system has demonstrated performance up to current milestone of 15 J @ 3.3 Hz

Pump laser power amplifier 3.2MW laser diode arrays Pump laser frequency converter and homogenizers Petawatt power amplifier Short pulse laser frontend with high contrast pulse cleaner DPSSL pump 2J green Pump laser frontend Short pulse a-amplifier Compressor

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Class #1

  • In the last year both the Rutherford DiPOLE 100 system based on

Yb:YAG and the LLNL HAPLS system based on Nd:glass succeed and prove that high average power DPSSLs are a working solution

  • This is an exciting and interesting time to compare and contrast

performance tradeoffs of these systems

  • The future looks promising to go to even higher energies and average

power

Conclusion for the “easy” part

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