ravi ranjan physics term paper final
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TERM PAPER
OF
PHYSICS
Topic:- Laser PlasmaInteraction.
Submitted To
Submitted By:-
Mr. Amit Bindra RaviRanjan
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RF1001
RF1001A61
ACKNOWLEDGEMENT
I am a student of lovely professional university and I am preparing a term paper on topic Laser Plasma Intercation. Patience & perseverance is the part & parcel to make fulfill any desiredmotto successfully. Not only this two indispensable characters but also kind co-operation & zestful help are always required bydint of which one can be able to reach his ultimate goal after passing through a series of several incidents. Likewise I do havethe pleasure to expose that we have completed our first semester
term paper with grand success. So, at the very outset I deeplyfeel like expressing me indebtness and gratitude to allconcerned, unless who’s help, valued suggestions, guidance andmoral boosting, the pursuance of the work of mine would havenot been possible. In the beginning, I also do take theopportunity to acknowledge and honour the contribution of mylecturer and class teacher Mr. Amit Bindra, who hasguided me all along by his wise lead, benevolent direction,
suggestions and time worthy interaction with me. I’m alsothankful to the Info Tech department of the university. I wouldlike to call up all our faculty members whose essential guidance& whole hearted devotion really inspired me as well as helpedtoo in the fulfillment of my desired task.
Finally, my special thanks go to our honorable & respected
Executive Dean Mrs Rashmi Mittal for providing me with all
the facilities in pursuing my term paper.
-Ravi Ranjan
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Introductio
n
Intense Laser-Plasma
Interactions... .TheInstitute's research inintense laser-plasmainteractions focuseson understanding,and eventuallycontrolling, the
plasma response,which can be usedfor compactaccelerators for fundamental researchand medicalapplications.This effort involvesdeveloping physicalmodels that representthe salient plasmafeatures, realisticallydescribing the laser structure, and
building numericalalgorithms thataccurately solve thegoverning equations.We have been the
leaders in bringingnovel approachesand fresh ideas tothese challengingquestions.
Over the last twoyears, we havedeveloped an entirely
new collisionlesskinetic model todescribe the low-temperature nature of the plasma. Our model has a finite pressure force termthat evolves in anovel way; theequations governingthe pressureevolution areconsistent withordinarythermodynamics inthe equilibrium limit, but contain highlynon-equilibriumeffects resulting fromthe collisionlessnature of the plasma.
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With our new model,we are beginning tostudy the finitetemperature effects
on the evolution of the laser pulse and plasma wake; our preliminary resultsindicate that the plasma does not heatsignificant in theshort-pulse case, andthat long pulses can
heat the plasma, butnot significantly.
These results aresignificant becausethey indicate that thecold-fluidapproximation is avery good model for the plasma wake, and
that particle-in-cell(PIC) numericalmethods have verystringentcomputationalconstraints to controlthe grid-heatinginherent in themethod.
Augmenting our
physical modeling,
we have examinedseveral new
numerical methods
for solving the model
equations. We have
looked at explicit
higher-order method-
of-lines techniques
and have seen performance
improvements
anywhere from a
factor of 6 to 100,
depending on the
type of problem.
This performance
improvement arisesmostly from the
increased size of the
stability region,
allowing us to use a
much larger time
step.
We have made
extensive use of symbolic methods to
carry out our analysis
of these methods,
and we are working
to extend this work
to implicit methods.
Over the next two
years, we will usethe tools we have
developed so far to
investigate two
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critical questions:
"What is the
maximum electric
field a plasma can
support?" (known asthe "wave-breaking
limit" ) and "Where
do the trapped
electrons come
from?" These
questions are
fundamental to
accelerator design because they drive
directly to the
energy, efficiency
and quality of the
beam produced.
Applications
Of Laser-
PlasmaInteractions
Recent advances inthe development of lasers with greater power and brightnessare paving the way
for importantadvances, including potential solutions tothe energy crisis.
Focusing exclusivelyon applications, this
second volume toInteraction of HighPower Lasers withPlasmas will be of interest toresearchers in boththe biologicalsciences and solid-state physics. It
analyzes differentinertial confinementschemes, and theability of lasers,while interactingwith plasmas, toefficiently producehigh power x-raysources. The high power, short pulseduration, and smalldimensions that areattainable in laser- plasma interactionslends itself to thedevelopment of sometruly uniqueapplications.
Monoenerg
etic beam
of
electrons
from laser
plasmaHigh-powerlasers that fitinto a university-
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scalelaboratory1 cannow reachfocused
intensities of more than 1019W cm-2 at highrepetition rates.Such lasers arecapable of producingbeams of energeticelectrons2, 3, 4,5, 6, 7, 8, 9, 10,11, protons12and -rays13.Relativisticelectrons aregeneratedthrough thebreaking9, 10,14 of large-amplituderelativisticplasma wavescreated in thewake of the laserpulse as itpropagatesthrough aplasma, orthrough a directinteractionbetween thelaser field andthe electrons inthe plasma15.However, the
electron beamsproduced fromprevious laser–plasma
experimentshave a largeenergy spread6,7, 9, 14, limitingtheir use forpotentialapplications.
Here we reporthigh-resolutionenergymeasurementsof the electronbeams producedfrom intenselaser–plasma
interactions,showing that—under particularplasmaconditions—it ispossible togenerate beamsof relativistic
electrons withlow divergenceand a smallenergy spread(less than threeper cent).
The
monoenergeticfeatures wereobserved in theelectron energy
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spectrum forplasma densities
just above athreshold
required forbreaking of theplasma wave.
These featureswere observedconsistently in
the electronspectrum,although theenergy of thebeam wasobserved to varyfrom shot toshot. If the issueof energyreproducibilitycan beaddressed, itshould bepossible togenerateultrashortmonoenergeticelectronbunches of tunable energy,holding greatpromise for thefuture
development of 'table-top'particleaccelerators.
Proton
shock
acceleratio
n
The formation of strong, highMach number(2–3),electrostaticshocks by laser
pulses incidenton overdenseplasma slabs isobserved in one-and two-dimensionalparticle-in-cellsimulations, for
a wide range of intensities, pulsedurations, targetthicknesses, anddensities. Theshockspropagateundisturbed
across theplasma,accelerating theions (protons).For adimensionlessfield strengthparameter
a0=16(Iλ2≈3×1020 Wcm-2 μm2,where I is the
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intensity and λthe wavelength),and targetthicknesses of a
few microns, theshock isresponsible forthe highestenergy protons.A plateau in theion spectrumprovides a directsignature forshockacceleration.
PLASMA
LASERS
Coolcircumstellardust and gas isconstantlyaccumulatingaround a starwhich is rapidly
ejecting plasma;the rapid coolingof the plasmawhen itencounters thisshell cansignificantlyenhance the
non-equilibriumeffects of adiabaticexpansion. Gas
contact is soeffective atproducing rapidcooling that Oda
et al. (1987)havesuccessfullyoperated anextremeultravioletplasma laserusing thismechanismalone, withoutthe slightestamount of expansion :
Gas-Contact Cooling Plasma Laser (TPD-I) : Magnetically
stationary helium plasma lasing in XUV 164 nm when th
cooled by hydrogen gas -contact. (Institute of Plasma Ph
Nagoya, Japan).
Another advantage instellar atmospheresare the typically verylarge distance scales,a small populationinversion producesradiation whoseintensity would
exponentially growin amplitude over thelarge distances to the point where itdominates the
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spectrum with astrong broademission line. Thestrongest
manifestation of natural lasers occur in quasars.
Another disadvantage of laboratory plasmalasers is erosiondamage.
'IT IS ALL
DONE WITH
MIRRORS':-
In laboratoryplasma lasersthe lasingmedium is of necessity limitedto small scalescompared toastrophysical
lasers. Thisdrawback ispartlycompensated bythe advantagethat we canplace mirrors atboth ends of the
lasing mediumto produce alaser whichseems to be
much longer ineffective 'virtual'extent. Byrepeatedly
bouncing off themirrors thephotons makemany back andforth passes,effectivelylengthening thelasing medium.Place yourself between a pairof parallelmirrors and seeinfinitelyrepeated imagesof yourself, untilyou can nolonger see theimages due tothe greenishabsorption of theglass and finitereflectivity of themirrors.
Placing the lasingmedium within a pair of mirrorsalso produces a
Fabry-Perotresonant cavitywhose spectralresponse is
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equivalent is theAiry functionconsisting of asequence of cavity'modes'.
Each modecorrespond to anelectromagneticstanding wavewhich can occupythe cavity. With
careful design, thelaser can be madeto oscillate in onlyone of thesemodes whichresults in a highlymonochromaticcollimated beam
with extremelysharp spectralresponse.
NATURALLY
OCCURING,
FUSION
POWERED
PLASMALASERS:-
The maximumnumber of passes than aphoton canmake within a
mirroredlaboratory lasercavity is limitedby absorption
and upper leveldepletion, whichis ultimatelylimited by the
finite amount of energy pumpedinto thepopulationinversion. Theshorter thewavelength thefaster theenergy must bepumped into theupper levels.
Although thereare no mirrors inouter space, nosuch powerrestrictionsoccur inastrophysicalplasma lasers,which arepumped by anenormouslypowerful fusionfurnace.
AMPLIFIED
SPONTANEOUS
EMISSION:-
Even though most
commercial lasers
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are designed to
operate within a
cavity and produce
very sharp emission
lines; this is notnecessarily so for
lasers without
mirrors, especially in
astrophysical
environments where
usually the spectral
line is broadened by
Doppler effects,turbulence and rapid
plasma ejections.
The stimulated
emission occurs from
many spontaneous
emissions 'seeds'
simultaneously, i.e.
amplifiedspontaneous
emission; a technical
name for the
phenomena of
cooperative photon
emission in the
absence of mirrors.
Since the
amplification is
exponential over
distance the gain is
strongest along an
axis through which
the longest path
through the plasmacan be attained. If
the plasma is very
elongated the
emission occurs
almost exclusively
along that axis.
100 kilowatt Homebuilt Air Laser : pumped byelectrical gasdischarge, it
produces coherent 337 nm UV radiation
from a molecular nitrogen transition.There are no mirrors
so the laser emitsamplified
spontaneousemission both in the
forward and backward direction simultaneously.(Scientific American
June 1974)
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PRACTICAL
USES OF
PLASMA
LASERS:-
HIGH-
POWER,
HIGH-
EFFICIEN
CY
LASERS:-
The simplefact the lasingmedium is a
highly ionizedplasma readilylends itself tovirtually
unlimitedpoweramplification.
High Power
Continuous highpower lasing ispossible byusing thegeometry of aplasmaexpanding awayfrom a nozzle;
since the decayof different partsof the plasmaoccur atdifferent timesthe active lasingportion of the jetis constantly
beingreplenishedwhilesimultaneouslythe depletedlasant is rapidlycarried out of the active zone.
This dualcombination aretwo crucialingredient in
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most high powerlasers,
1. Rapid
overpopulation of theupperquantumlevelrelative tothe lowerlevel.
2. Rapid de-
populationof the lowerlasing levelbytransport of depletedplasma outof theactive
lasingmedium.
High
Efficienc
y:-
High power can
be achievedsimultaneouslywith highefficiency by asuitable choiceof initial plasmaparametersbefore the rapid
cooling takesplace : In certaintemperatureranges the
thermodynamicpopulation of certain ionspecies is almost
exclusivelydominated bythe ionconsisting of aclosed electronshell.
The ionization
energy of aninert-gas likeelectronconfiguration ismuch largerthan the energyrequired toionize less stable
configurations. The inert gas-like stage of ionizationpersists over amuch largerrange of temperatures,
and for certainparticulartemperaturesthe competingionic stageshave negligibleconcentrations.
During the rapidcooling stage, almostall of these stable'parent' ions withinthe plasma contribute
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to the rapid three- body recombinationof the free-electronsinto the upper laser
level. This meansthat every ion inthe plasma can potentiallycontribute astimulated photonto theamplification
process.The extent towhich the excitedions cancoherentlyamplify the lightis limited only byunwantedspontaneousemissions, and therequirement of maintaining asuitable inversionrate for thespecific ratio of stimulatedemission versusspontaneousemissions that the particular applicationrequires.
The potential for high efficiency,unlimited power lasers isenormous, and its practical uses inindustry are toonumerous tomention here.
Laser Plasma
Interactions &
Related
Diagnostic
s:-
Thomson scattering
is widely used tomeasure plasmatemperature, density,and flow velocity inlaser-produced plasmas at Trident,and is also used todetect plasma wavesdriven by unstable
and nonlinear processes. A typicalconfiguration uses alow intensity laser beam (2nd, 3rd, or 4th
harmonic of 1054-nm) to probe a plasma volume.
The Thomson
scattered light iscollected by a lensand is measuredusing a spectrometer
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coupled to a gated or streaked camera. Therange of plasmawave numbers
probed is determined by the Thomson probe beamwavelength andscattering geometry.
Thomson scatteringis routinely used atTrident in variousconfigurationsincluding self-Thomson scattering,imaging Thomsonscattering, streakedThomson scattering,and to obtain “ω-k” plasma wavedispersion. TheThomson scattered
spectrum can bemeasured withtemporal resolution ~10 ps, spatialresolution ~ 10-µm,and spectralresolution ~ 0.5 Å
Streaked Thomsonscattering fromelectron plasmawaves in a gas jetlaser produced plasma. The probelaser is a 1-ns pulse,followed by three
100-ps pulses. Thetime-dependent plasma density can be deduced from thespectral shifts.
Time-resolved backscattered spectrafrom a N2H2 gas jet plasma experiment,shot number 20040.The narrow spectrumnear 527-nm is fromstimulated Brillouinscattering, and the
broad spectrum between 650 – 730nm is fromstimulated Ramanscattering.
Coupling of
the laser beam
energy to agiven target isimportant inboth
fundamental andapplied laser-matterinteraction
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experiments. The intense laserbeam can driveparametric
instabilitieswhich scatterlaser lightprimarily in thebackwarddirection,resulting in aloss of laserenergy in thetarget.Measurementsof thebackscatteredlight include thereflected energy,time-resolvedspectra, andtime-integratedangulardistribution of the lightscattered justoutside the lens(nearbackscatter).Backscattereddiagnostics canbe deployedboth
for randomphase platesmoothed laserbeams, and the
near-diffraction-limited singlehot spot laserbeam. The
backscatteredlight can bemeasured withtemporalresolution ~ 10ps, and spectralresolution ~ 0.5Å.
Applications
of Laser
Produced
Plasmas:-
The Division hasalso carried out anumber of studieson applications of laser producedplasmas of technological
interest. Theseinclude :characterization of x-ray source for contact imaging, x-
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ray microscopicimaging of biological cells andphysical
microstructureswith a spatialresolution better than 200nm,developingstereoscopic x-rayimaging techniqueusing twin laser produced plasmas,
spectral distributionof keV x-ray yieldfrom gold plasma,laser drivenmonochromatic x-ray point source of short-pulseduration in a diodeconfiguration,generation of high
current densityelectron pulsesfrom laser drivenferroelectrics, laser driven vacuumdischarge, andanalysis of isotopicenhancement inlaser plasma
plumes.
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Refrences:- 1. Wikipedia.org2. Answers.com