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Spectroscopically pure metal vapor source for highly charged ion spectroscopy and capillary discharge soft x-ray lasers F. G. Tomasel NSF Center for Extreme Ultraviolet Science and Technology and Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, Colorado 80523, USA and Advanced Energy Industries, Fort Collins, Colorado 80525, USA V. N. Shlyaptsev Department of Applied Science, University of California Davis Livermore, Livermore, California 94551, USA J. J. Rocca NSF Center for Extreme Ultraviolet Science and Technology and Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, Colorado 80523, USA and Department of Physics, Colorado State University, Fort Collins, Colorado 80523, USA Received 18 August 2007; accepted 26 November 2007; published online 17 January 2008 We describe a compact, pulsed metal vapor source used for the production of dense plasma columns of interest for both soft x-ray laser research and spectroscopy of highly ionized plasmas. The source generates spectroscopically pure cadmium vapor jets in a room-temperature environment by rapidly heating an electrode with a capacitive discharge. In the configuration described herein, the metal vapor jet produced by the source is axially injected into a fast up to 15 kA / ns, high current up to 200 kA peak capillary discharge to generate highly ionized cadmium plasma columns. Spectroscopic analysis of the discharge emission in the 12– 25 nm spectral range evidences the dominance of Cu-like CdXX and Ni-like CdXXI lines and shows strong line emission at 13.2 nm from the 4d 1 S 0 –4p 1 P 1 laser transition of Ni-like Cd. Hydrodynamic/atomic physics simulations performed to describe the dynamics of the plasma column and compute the optimum discharge conditions for laser amplification are discussed. © 2008 American Institute of Physics. DOI: 10.1063/1.2825459 I. INTRODUCTION Fast capillary discharge excitation is a very successful working principle that has enabled the development of a new generation of compact and efficient soft x-ray lasers. 16 Tabletop Ne-like Ar lasers operating at 46.9 nm have pro- duced the highest average power reported to date for a table- top soft x-ray laser, 3.5 mW, 5 and have been successfully utilized in a number of applications. 6 Strong laser amplifica- tion in discharge-pumped capillary lasers has also been at- tained at slightly longer wavelengths in Ne-like S and Ne- like Cl. 3,4 However, some applications require shorter lasing wavelengths. Of particular interest is the possibility of using discharge-created plasmas to achieve lasing around 13.5 nm, a wavelength relevant to metrology tasks related to extreme ultraviolet lithography. 7 Scaling of the collisional laser scheme to this spectral region can be accomplished by exci- tation of Ni-like Cd ions CdXXI, which can provide ampli- fication at 13.2 nm in the 4d 1 S 0 –4p 1 P 1 transition. A gain- saturated, high repetition rate Ni-like Cd laser has been demonstrated in plasmas created by heating a Cd target with a powerful picosecond tabletop laser. 8 The use of fast capil- lary discharge excitation can potentially result in a more compact and efficient 13.2 nm laser, capable of producing higher laser pulse energy. However, the generation of such discharge-pumped soft x-ray laser gain medium requires the presence of a substantial density of high purity metal vapor into a capillary channel at the time of the onset of the main excitation discharge. In this paper, we present a room-temperature pulsed source that produces high purity metal vapor using a com- pact and relatively simple design. Its applicability to soft x-ray laser research is shown by results from experiments where highly ionized cadmium plasma columns are created using the vapor source in combination with a fast, high power capillary discharge. The production of capillary plasmas from solid materials in a repetitive way can be achieved by either ablation of the material from the capillary walls or injection of the material into the capillary. Several attempts to produce discharge- pumped plasmas for soft-x-ray amplifiers from solid ele- ments have utilized direct ablation of the material from the capillary walls. 913 In the case of plasmas for collisionally excited lasers, our group has previously used excitation of ablated material from capillary channels for the identification of line emission at wavelengths corresponding to the J = 0 – 1 laser transition in Ne-like ions from elements heavier than argon. 14 However, as most of the materials of interest are electrically conductive on their pure form, they have to be transformed into insulators by either using compounds such as oxides, nitrides, and hydrides, or binding them with an insulating material, such as epoxy resin. As an example, for our previous experiments with calcium and titanium, the capillary channels were drilled on cylinders made by either REVIEW OF SCIENTIFIC INSTRUMENTS 79, 013503 2008 0034-6748/2008/791/013503/8/$23.00 © 2008 American Institute of Physics 79, 013503-1 Downloaded 11 Jul 2008 to 129.82.233.53. Redistribution subject to AIP license or copyright; see http://rsi.aip.org/rsi/copyright.jsp

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Page 1: Spectroscopically pure metal vapor source for highly ... · Spectroscopically pure metal vapor source for highly charged ion spectroscopy and capillary discharge soft x-ray lasers

Spectroscopically pure metal vapor source for highly charged ionspectroscopy and capillary discharge soft x-ray lasers

F. G. TomaselNSF Center for Extreme Ultraviolet Science and Technology and Department of Electrical and ComputerEngineering, Colorado State University, Fort Collins, Colorado 80523, USA and Advanced Energy Industries,Fort Collins, Colorado 80525, USA

V. N. ShlyaptsevDepartment of Applied Science, University of California Davis Livermore, Livermore, California 94551, USA

J. J. RoccaNSF Center for Extreme Ultraviolet Science and Technology and Department of Electrical and ComputerEngineering, Colorado State University, Fort Collins, Colorado 80523, USA and Department of Physics,Colorado State University, Fort Collins, Colorado 80523, USA

�Received 18 August 2007; accepted 26 November 2007; published online 17 January 2008�

We describe a compact, pulsed metal vapor source used for the production of dense plasma columnsof interest for both soft x-ray laser research and spectroscopy of highly ionized plasmas. The sourcegenerates spectroscopically pure cadmium vapor jets in a room-temperature environment by rapidlyheating an electrode with a capacitive discharge. In the configuration described herein, the metalvapor jet produced by the source is axially injected into a fast �up to 15 kA /ns�, high current �up to200 kA peak� capillary discharge to generate highly ionized cadmium plasma columns.Spectroscopic analysis of the discharge emission in the 12–25 nm spectral range evidences thedominance of Cu-like �CdXX� and Ni-like �CdXXI� lines and shows strong line emission at 13.2 nmfrom the 4d 1S0–4p 1P1 laser transition of Ni-like Cd. Hydrodynamic/atomic physics simulationsperformed to describe the dynamics of the plasma column and compute the optimum dischargeconditions for laser amplification are discussed. © 2008 American Institute of Physics.�DOI: 10.1063/1.2825459�

I. INTRODUCTION

Fast capillary discharge excitation is a very successfulworking principle that has enabled the development of a newgeneration of compact and efficient soft x-ray lasers.1–6

Tabletop Ne-like Ar lasers operating at 46.9 nm have pro-duced the highest average power reported to date for a table-top soft x-ray laser, 3.5 mW,5 and have been successfullyutilized in a number of applications.6 Strong laser amplifica-tion in discharge-pumped capillary lasers has also been at-tained at slightly longer wavelengths in Ne-like S and Ne-like Cl.3,4 However, some applications require shorter lasingwavelengths. Of particular interest is the possibility of usingdischarge-created plasmas to achieve lasing around 13.5 nm,a wavelength relevant to metrology tasks related to extremeultraviolet lithography.7 Scaling of the collisional laserscheme to this spectral region can be accomplished by exci-tation of Ni-like Cd ions �CdXXI�, which can provide ampli-fication at 13.2 nm in the 4d 1S0–4p 1P1 transition. A gain-saturated, high repetition rate Ni-like Cd laser has beendemonstrated in plasmas created by heating a Cd target witha powerful picosecond tabletop laser.8 The use of fast capil-lary discharge excitation can potentially result in a morecompact and efficient 13.2 nm laser, capable of producinghigher laser pulse energy. However, the generation of suchdischarge-pumped soft x-ray laser gain medium requires thepresence of a substantial density of high purity metal vapor

into a capillary channel at the time of the onset of the mainexcitation discharge.

In this paper, we present a room-temperature pulsedsource that produces high purity metal vapor using a com-pact and relatively simple design. Its applicability to softx-ray laser research is shown by results from experimentswhere highly ionized cadmium plasma columns are createdusing the vapor source in combination with a fast, highpower capillary discharge.

The production of capillary plasmas from solid materialsin a repetitive way can be achieved by either ablation of thematerial from the capillary walls or injection of the materialinto the capillary. Several attempts to produce discharge-pumped plasmas for soft-x-ray amplifiers from solid ele-ments have utilized direct ablation of the material from thecapillary walls.9–13 In the case of plasmas for collisionallyexcited lasers, our group has previously used excitation ofablated material from capillary channels for the identificationof line emission at wavelengths corresponding to the J=0–1 laser transition in Ne-like ions from elements heavierthan argon.14 However, as most of the materials of interestare electrically conductive on their pure form, they have tobe transformed into insulators by either using compoundssuch as oxides, nitrides, and hydrides, or binding them withan insulating material, such as epoxy resin. As an example,for our previous experiments with calcium and titanium, thecapillary channels were drilled on cylinders made by either

REVIEW OF SCIENTIFIC INSTRUMENTS 79, 013503 �2008�

0034-6748/2008/79�1�/013503/8/$23.00 © 2008 American Institute of Physics79, 013503-1

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pressing CaH2 powder to high pressures or binding TiH2 andCaH2 with epoxy resin.14 Unfortunately, both methods intro-duce into the plasma undesirable elements that reduce thelaser gain. Instead, as in the case of gaseous targets, thelasing material can be pulse injected into the capillary chan-nel of the laser. We have successfully used this technique forthe demonstration of lasing in Ne-like sulfur at 60.8 nm.3 Inthose experiments, the lasing material was produced by ab-lation of the wall of a separate sulfur capillary channel witha relatively slow current pulse. The sulfur vapor produced bythis secondary discharge was injected into the main capillarychannel and subsequently excited by a fast current pulse togenerate a narrow plasma column with the necessary condi-tions for amplification. Ablation of material from an auxil-iary capillary channel, however, presents some of the samechallenges faced by direct ablation of the laser capillarywalls, especially the fact that the capillary has to be made outof an insulating compound.

The concept of using an auxiliary capillary has beenlately extended to include an exploding wire inside the sec-ondary channel as a source of metal plasmas, as described inRef. 15. For the particular case of titanium, the authors re-ported the generation of single-shot plasma jets with ion den-sities of about 3�1017 cm−3. Recently, a scheme using ex-ploding wires in water was also proposed as a potentialapproach to the generation of plasmas for soft x-rayamplification.16 Titanium plasmas have also been generatedusing a capillary discharge where the metal plasma is pro-duced by laser ablation of a solid target and injected into acapillary tube.17,18 Initial investigation based on this ap-proach using alumina capillaries resulted in plasmas domi-nated by aluminum and oxygen ablated from the walls.17 Inlater experiments, the use of a series of titanium rings for thegeneration of the metal vapor resulted in plasmas with highertitanium content.18

To overcome the limitations of single-shot operation andthe problems associated with plasma impurities, we have de-signed a new discharge scheme where the desired material isinjected by a secondary discharge placed on the same axis asthe capillary channel. In this paper, we describe this metalvapor source and discuss its application to the generationhighly ionized Cd plasma columns of interest for atomic

spectroscopy and soft x-ray laser generation at 13.2 nm. Thefollowing section discusses the design and characterizationof the vapor source. Section III discusses its use in combina-tion with a fast capillary discharge to create highly ionizedCd plasma columns, and Sec. IV discusses the discharge con-ditions required for strong laser amplification.

II. METAL VAPOR SOURCE SETUP ANDCHARACTERIZATION

Figure 1 shows a schematic diagram of the metal vaporsource coupled to the channel of a high power capillary dis-charge. The metal vapor source consists of a capacitor-drivendischarge that takes place between a cathode electrode and agrounded, hollowed metal electrode serving as both the an-ode for the metal source and the ground electrode for thecapillary discharge. The separation between the electrodeswas designed to be 3 mm. The metal vapor is produced byablation of a cathode insert made of the material of interest,for example, cadmium. The metal insert, which is collinearwith the capillary axis, has a hole on axis for the escape ofthe radiation generated in the capillary discharge plasma. Inthe experiments described below, we used an insert of highpurity �99.99+ % � Cd �Ref. 19� pressed into a stainless steelholder that provided both support and electrical contact. Theinsert is ablated by a relatively slow current pulse producedby discharging a 1 �F capacitor through a pressurized sparkgap. Current pulses with a first period length of about 22 �sand peak currents of up to 8 kA can be obtained charging thecapacitor up 15 kV. Ablation is restricted to the surface ofthe insert by a polyacetal cap tightly fitted to the tip of thecathode. To generate the highly ionized plasma column in thecapillary channel, the metal vapor source is triggered suchthat the ablated vapor expands and fills the channel a fewmicroseconds before the initiation of the main dischargepulse. In this design, the metal vapor source is shielded fromthe main discharge’s high current pulse by the ground elec-trode, which consists of a stainless steel embodiment with amolybdenum insert that minimizes the sputtering of the elec-trode by the high current pulses.

The cadmium injection discharge was first characterizedin a separate vacuum chamber. A 4 cm long quartz capillary

FIG. 1. Schematic representation of the discharge-based metal vapor source and high power capillary dis-charge channel.

013503-2 Tomasel, Shlyaptsev, and Rocca Rev. Sci. Instrum. 79, 013503 �2008�

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channel was attached to the ground electrode to simulate thecapillary channel of the main discharge. The quartz capillaryallowed us to study both the radiation emitted by the Cdplasma and the propagation of the cadmium vapor into thecapillary. The light emitted by the discharge in the spectralrange between 300 and 700 nm was analyzed using a 0.67 mfocal length spectrometer provided with a 1200 l /mm grat-ing. The instrument was calibrated using a mercury lamp.Figure 2 shows a typical spectrum of the plasma created byonly firing the metal vapor source. Notice that the lines ofatomic cadmium �Cd I� completely dominate the spectrum,without any significant impurity lines. A coarse estimate ofthe metal vapor density in the column for the case of 15 kVcharging voltage discharges was derived from measurementsof the extent and thickness of metal coatings deposited bythe discharge on a glass slide located at the end of the quartzcapillary. Measuring the thickness of the deposit with analpha-step probe, and using the density of solid cadmium toestimate the mass of metal deposited, the metal vapor densityon a 5 mm diameter, 2.5 cm long capillary channel was es-

timated to be of the order of 1�1017 cm−3, corresponding toa linear mass density of 2�1016 cm−1. Since the density ofthe film is likely to be lower than the density of solid cad-mium, and some deposition will occur between the genera-tion of the metal vapor and the initiation of the capillarydischarge, this estimation represents just an upper limit forthe metal vapor density at the onset of the main excitationpulse. Figure 3 shows a typical current trace and the time-dependent, spectrally integrated intensity emitted by theplasma as observed near the open end of the quartz capillary.For the conditions of this shot, the intensity of the emittedlight peaks approximately 4 �s after the peak of the firsthalf-cycle of the current, and ablation is not observed to besignificant beyond the first half-cycle of the current pulse.The time evolution of the spectrally integrated light emissionwas also measured at several positions along the quartz cap-illary by displacing it with respect to a fixed 1 mm wide slit.Near the electrode, the spectrally integrated light emission isobserved to peak very shortly ��1 �s� after the first currentpeak. Measurements of the time of peak light emission at

FIG. 2. Visible spectrum from theplasma created by the metal vaporsource using a Cd insert. Notice thatthe emission is completely dominatedby atomic Cd lines, and that no signifi-cant spectral lines from impurities areobserved.

FIG. 3. Current pulse �solid line� and spectrally inte-grated light emission �dashed line� as a function oftime. For this shot, the capacitor bank was charged to10 kV. Light was collected through a 1 mm wide slitlocated 36 mm away from the surface of the groundelectrode.

013503-3 High purity metal vapor source Rev. Sci. Instrum. 79, 013503 �2008�

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various positions along the capillary axis permitted to esti-mate the expansion velocity of the cadmium vapor along thecapillary axis. The average expansion velocity along the cap-illary axis was measured to be up to 1.8�0.2 cm /�s.

III. GENERATION OF HIGHLY IONIZED Cd PLASMACOLUMNS USING A HIGH POWER CAPILLARYDISCHARGE

Radial compression of the metal vapor column describedabove by a fast, high current capillary discharge can, in prin-ciple, create small diameter plasma columns with plasmadensities in excess of 1�1020 cm−3, and a degree of ioniza-tion reaching the Ni-like stage. To generate such dense,highly ionized plasma columns, we used a three-stage pulsedpower generator that has been described elsewhere.20 Thefirst stage, which produces a current pulse that is subse-quently shortened by the two following stages, consists of aconventional eight-stage Marx generator that for the presentexperiment was operated at an erected voltage of �650 kV.The Marx generator is used to charge in about 1 �s the sec-ond pulse compression stage, consisting of a 26 nF coaxialwater-dielectric capacitor. In turn, this water capacitor is dis-charged through a self-breakdown spark gap pressurizedwith SF6 gas to charge the third and final stages in about75 ns. The third stage consists of two radial water-dielectrictransmission lines arranged in a Blumlein configuration. Thecapillary channel is located on the axis of this radial Blum-lein. The fast current pulse that excites the capillary plasmais produced by discharging the Blumlein transmission linethrough an array of seven synchronously triggered SF6

spark-gap switches equally distributed along the outer diam-eter of the water transmission line. The very rapid switchingof the Blumlein transmission line produces current pulseswith amplitudes of up to 200 kA and risetimes of less than15 ns through the capillary load �see Fig. 4�. To aid the for-

mation of a stable plasma column, the material in the capil-lary channel was preionized with a current pulse of 20–40 Aand 10 �s duration immediately preceding the fast dischargepulse. Initial studies of hot, dense argon plasmas generatedwith this high power capillary discharge showed that thesetup can produce dense plasma columns with electron tem-peratures in excess of 250 eV and electron densities of about1�1020 cm−3.20

The evolution and stability of Cd plasma columns werestudied using a soft x-ray pinhole camera equipped with amicrochannel plate �MCP� charge coupled device �CCD� de-tector. The camera had a magnification of 2.76�, and gatingof the MCP allowed images of the plasma column with�3 ns temporal resolution. A combination of a 1 �m thickcarbon and a 0.2 �m thick aluminum filters was used to limitthe response of the camera to photons with wavelengths be-tween 45 and 100 Å, and below 25 Å. This allows differen-tiating the hotter regions of the plasma from the colder re-gions that emit longer wavelength radiation. Figure 5consists of a sequence of end-on images of the plasma col-umn, showing the evolution of the soft x-ray emitting regionof the Cd plasma in a 2.5 cm long, 5 mm diameter polyacetalcapillary. These pinhole camera measurements show the on-set of significant soft x-ray emission occurring about 27 nsafter the initiation of the current pulse, with a rapid increaseof the intensity in the following few nanoseconds. The diam-eter of the soft x-ray emitting region achieves a minimum of250–350 �m at 32–34 ns after the onset of the current.Shortly afterward, the emitted soft x-ray intensity rapidlydecreases. The plasma columns are observed to have a gooddegree of symmetry, comparable to that observed in theplasma columns of the Ne-like Ar laser, until the time ofmaximum compression. Although later in time the plasmabecomes asymmetrical, these late nonuniformities should notbe of concern for soft x-ray laser development, as they ap-pear after the time of interest for laser amplification.

End-on spectra of the capillary discharge plasma wereobtained using a 2.2 m grazing incidence spectrometer pro-vided with a 2400 l /mm gold-coated diffraction grating. Atime resolution of about 5 ns was obtained by gating a mi-crochannel plate-intensified CCD detector. Spectra taken onthe 23–25 nm region were observed to be dominated bylines from Ni-like �CdXXI� and Cu-like �CdXX� ions, with allthe CdXXI lines corresponding to 4p-4s transitions. The spec-tral region between 15.8 and 18.4 nm shows numerous4d-4p Ni-like Cd lines, as well as Cu-like Cd lines. As anexample, Fig. 6 shows a spectrum within this region, forwavelengths spanning from 17.2 to 18.4 nm. Assisted bycalculations performed using the Slater-Condon method withgeneralized least squares fits of the energy parameters, wewere able to identify 53 3d9 4p–3d9 4d and 3d9 4d–3d9 4fCdXXI lines in spectra from this region.21 Figure 7 shows aspectra corresponding to the 12.7–13.7 nm region, obtainedfrom a 5 mm diameter capillary excited by a 173 kA currentpulse. Strong line emission observed at 13.162�0.010 nm,which is assigned to the 4d 1S0 −4p 1P1 laser line of Ni-likeCd. This measured wavelength agrees well with a previouslyreported wavelength 13.166�0.015 nm for this laser line.22

The fact that the soft x-ray line spectra of the highly ionized

FIG. 4. High current discharge pulse corresponding to a discharge through a5 mm diameter capillary.

013503-4 Tomasel, Shlyaptsev, and Rocca Rev. Sci. Instrum. 79, 013503 �2008�

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FIG. 5. Sequence of end-on pinhole images of the soft x-ray emitting region of a cadmium plasma column created in a 5 mm diameter capillary. The imageswere acquired using a 1 �m thick carbon filter and a 0.2 �m thick aluminum filter. The discharge current pulse is shown as a reference, and the timing of eachimage respect to the initiation of the current pulse is indicated.

FIG. 6. End-on spectrum of a Cdcapillary column covering the17.2–18.4 nm region. The spectrumwas obtained from a plasma columnformed in a 5 mm diameter capillaryby a current pulse with peak amplitudeof approximately 180 kA.

013503-5 High purity metal vapor source Rev. Sci. Instrum. 79, 013503 �2008�

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plasmas produced by this fast capillary discharge have alower background than those typically produced by laser-created plasmas makes them particularly interesting for thestudy of the energy level structure of highly charged ions.Note that plasma columns of other elements can be generatedby selecting different materials for the source cathode insert.An example is shown in Ref. 23, which reports the assign-ment of numerous lines of Ni-like Ag using the dischargedescribed here with a silver insert.

These experimental observations were complemented bythe results of hydrodynamic/atomic physics model simula-tions conducted using the code RADEX.24 Figure 8 illustratescomputed results corresponding to a 190 kA cadmium dis-charge in a 5 mm diameter capillary with an initial Cd den-sity of 2�1016 cm−3, well within the range of densities thatthe metal vapor source is able to generate. The graphs of theevolution of the computed plasma parameters show the dy-namics of a cylindrical shock wave, driven toward the axis ofthe capillary by the Lorentz force and the thermal pressure inthe skin layer near the walls. The electron temperature plot�Fig. 8�a�� shows a heat wave moving ahead of the hydrody-namics shock wave, preheating the plasma in front. Whenthe heat wave reaches the axis, the maximum of the currentdensity switches to the center of the capillary. When the hy-drodynamic shock wave reaches the axis of the capillary sev-eral nanoseconds later �see Fig. 8�b��, the temperature rap-idly increases, ionizing plasma up to and beyond Ni-likestage �Figs. 8�c� and 8�d��. The electron density is calculatedto reach a maximum value of �1—2��1020 cm−3 needed toobtain high gain values. It is interesting to notice that boththe calculation and the experiment show the formation of aconcave radial profile that could potentially guide the laserbeam in both the current and future laser designs. The con-cave axial density profile is formed when the plasma frontstarts to expand after reaching the axis and achieving maxi-mum compression. At this time, two counterstreamingplasma fronts, the part reflected on axis and the incomingplasma, collide with each other roughly keeping pressurebalance. The central part of plasma column keeps a highertemperature and hence smaller density, due to larger Jouleheating and resonance line opacities, while the incoming

plasma cools faster due to smaller radiation trapping causedby the macroscopic Doppler shift in the slope of densityprofile where plasma decelerates. This causes the peak den-sity to occur off axis, resulting in a concave profile. Theconcave profile becomes less pronounced in the calculationswhen line radiation, a major energy loss in high-Z plasmas,is excluded. In this case, the electron density only reaches avalue of about 5�1019 cm−3. Radiation also substantiallycools the plasma from about 550 down to 350 eV, but con-ditions are still far from radiation collapse.

IV. PROSPECT FOR STRONG LASING AT 13.2 nm

A remaining question is the possibility of demonstratingstrong lasing at 13.2 nm utilizing capillary discharge excita-tion. The basic strategy for achieving optimal conditions forsoft x-ray laser action in capillary discharges typically takesinto account the following considerations. First, in order toensure a high utilization efficiency of the driver energy and ahigh compression, the time of plasma collapse on axisshould, in principle, approach the end of electric currentpulse. However, aside from obtaining the high compressionof the core needed to reach the necessary electron density,the electron temperature must reach a value between 25%and 50% of the ionization potential to effectively excite theions. Lasing with Ni-like Cd ions requires achieving tem-peratures of 300–400 eV �the ionization potential of CdXXI isapproximately 900 eV�, which implies substantially largerdriving currents relative to the previously realized 46.9 nmNe-like Ar soft x-ray laser, and also higher compression den-sities. However, the temperature does not increase as muchas could be expected from the increased adiabatic heating,due to enhanced radiation losses that grow as the square ofthe electron density.

Plasma heating can be more efficiently achieved if theplasma collapse on axis takes place at a slightly earlier time,when the axial electric current density still has a large value.In this case, both Joule heating and the kinetic energy of theaccelerated plasma, transformed into thermal energy, com-bine to boost the electron temperature at the time of collapse.These requirements define the optimum time of collapse to

FIG. 7. Axial spectrum of a Cd discharge for the12.7–13.6 nm region, obtained from a 5 mm diametercapillary excited by a 173 kA current pulse. The timedelay with respect to the beginning of the current pulseis 29 ns. The strong line emission observed at13.162�0.010 nm corresponds well with the previ-ously measured wavelength 13.166�0.015 nm of the4d 1S0–4p 1P1 laser line of Ni-like Cd �Ref. 9�. Thepresence of several other 4d-4p Ni-like Cd lines shownin Fig. 5 supports the identification of this line as thelaser line.

013503-6 Tomasel, Shlyaptsev, and Rocca Rev. Sci. Instrum. 79, 013503 �2008�

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be approximately 0.6–0.8 of electric pulse width �measuredat the base�. Second, this optimum time of collapse, in turn,defines the maximum values of the initial Cd vapor pressurefor a given capillary radius. For discharges with 30–35 nspulse width, such as those produced by the generator used inour experiments, the range of optimal initial vapor densitiesis approximately �2–5��1016 cm−3. An increase of the va-por pressure beyond this value results in a slower plasmacompression and hence smaller temperature at the time ofcollapse. In the opposite case of smaller pressures, the com-pressed column becomes too narrow, collapses too quickly,and does not utilize the electrical driver energy efficiently.

Figure 9 shows the value of the gain for the 13.2 nm lineof Ni-like Cd as a function of peak current and initial vapordensity. For these calculations, the capillary diameter waschosen to be 5 mm and all other discharge parameters werekept constant. This two-variable optimization computationshows that, in principle, it is possible to obtain high gainusing high currents in the range of 300–400 kA. Figure 9also shows that at the maximum drive current of 200 kAachieved in our experiments, substantial gain can only beobtained for relatively low initial vapor densitites, as re-

FIG. 8. �Color� Computed evolution of the main parameters of a Cd capillary discharge plasma column. The graphs show the evolution of the electrontemperature �a�, electron density �b�, current density �c�, and density of Ni-like ions �d�. To better show the details of evolution close to the maximumcompression, the plotting range for �b�–�d� has been limited to the rectangular region indicated in yellow in �a�. The peak discharge current is 190 kA, thecapillary diameter is 5 mm, and the initial cadmium density is 2�1016 cm−3.

FIG. 9. Calculated gain values of the 13.2 nm line of Ni-like Cd as afunction of initial metal vapor density and peak current. The capillary diam-eter is 5 mm.

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quired to reach a sufficiently high electron temperature. Atthese conditions, the compressed plasma column becomesquite narrow, and refraction is too large for the laser radiationto propagate a sufficiently long distance for strong amplifi-cation. Computations estimate that at these excitation condi-tions the gain in the 13.2 nm line of Ni-like Cd is 1–3 cm−1.The gain is formed at the rising edge of density when theshock wave reaches the axis and its duration, �200 ps, ismuch shorter than the 2–3 ns duration of the Ne-like Ar softx-ray laser, which can reach a gain of about 1.2 cm−1 withsignificantly smaller currents, compression speeds, and den-sities, but at substantially longer wavelength �46.9 nm�.However, under optimized excitation conditions, the Ni-likeapproach can potentially lead to much higher amplificationrate coefficients.

In addition to the optimization of the discharge condi-tions, the clear demonstration of strong laser amplificationwill require future work that includes determining more pre-cisely both the density of the capillary discharge plasma col-umn and its axial uniformity near the time of maximum com-pression. The density of impurities created by ablation of thecapillary walls, which have a detrimental effect on the gain,will also need to be evaluated. Nevertheless, the results re-ported herein demonstrate that spectroscopically pure Cd va-por can be produced at the densities of interest for the devel-opment of a capillary discharge-pumped 13.2 nm lasers.

V. CONCLUSIONS

In summary, we have demonstrated a discharge-basedmetal vapor source that can produce high purity vapor suit-able for the generation of hot and dense capillary plasmas ofinterest for both spectroscopy of highly ionized ions and softx-ray laser development. The source metal vapor was used togenerate Cd vapor columns that were compressed by a fasthigh current capillary discharge to generate very dense andhighly ionized plasma columns. The results from soft x-rayimaging diagnostics show that the fast plasma compressionresults in well-behaved plasma columns with good axialsymmetry up to the time of maximum compression. Analysisof the radiation from Cd plasmas in the spectral region span-ning from 12 to 25 nm shows that the cadmium vapor can beionized to the Ni-like ionization stage. Spectra of the dis-charge around 13 nm reveal strong line emission at13.162�0.010 nm, corresponding to the 4d 1S0–4p 1P1 la-ser transition of Ni-like Cd. This identification is supportedby the simultaneous observation of other Ni-like Cd lines.

The clean line spectra with relatively small continuumcomponent produced by these highly ionized metal vaporcapillary discharge plasmas are also of significant interest forthe assignment of lines corresponding to highly chargedions.21,23

ACKNOWLEDGMENTS

This work was supported by the NSF ERC for ExtremeUltraviolet Science and Technology under NSF Award No.EEC-0310717. Previous support from DARPA Grant No.DE-FG03-00ER15084 is also acknowledged.

1 J. J. Rocca, V. N. Shlyaptsev, F. G. Tomasel, O. D. Cortazar, D. Hartshorn,and J. L. A. Chilla, Phys. Rev. Lett. 73, 2192 �1994�; J. J. Rocca, D. P.Clark, J. L. A. Chilla, and V. N. Shlyaptsev, ibid. 77, 1476 �1996�.

2 J. J. Rocca, Rev. Sci. Instrum. 70, 3799 �1999�.3 F. G. Tomasel, J. J. Rocca, V. N. Shlyaptsev, and C. D. Macchietto, Phys.Rev. A 55, 1437 �1997�.

4 M. Frati, M. Seminario, and J. J. Rocca, Opt. Lett. 25, 1022 �2000�.5 C. Macchietto, B. R. Benware, and J. J. Rocca, Opt. Lett. 24, 1115 �1999�.6 J. J. Rocca, M. Seminario, M. Frati, B. R. Benware, H. L. Mancini, J.Filevich, M. C. Marconi, K. Kanizay, A. Ozols, I. A. Artioukov, A. V.Vinogradov, Y. A. Uspenskii, F. G. Tomasel, and V. N. Shlyaptsev, J. dePhysique IV 11, 459 �2001�.

7 K. Goldberg, P. P. Naulleau, P. E. Denham, S. B. Rekawa, K. Jackson, E.Anderson, and J. A. Liddle, J. Vac. Sci. Technol. B 22, 2956 �2004�.

8 J. J. Rocca, Y. Wang, M. A. Larotonda, B. M. Luther, M. Berrill, and D.Alessi, Opt. Lett. 30, 2581 �2005�.

9 F. C. Young, S. J. Stephanakis, V. E. Scherrer, B. L. Welch, G. Mehlman,P. G. Burkhalter, and J. P. Apruzese, Appl. Phys. Lett. 50, 1053 �1987�.

10 M. C. Marconi and J. J. Rocca, Appl. Phys. Lett. 54, 2180 �1989�.11 C. Steden and H. J. Kunze, Phys. Lett. A 151, 534 �1990�.12 J. J. Rocca, M. C. Marconi, and F. G. Tomasel, IEEE J. Quantum Electron.

29, 182 �1993�.13 H. J. Shin, D. E. Kim, and T. N. Lee, Phys. Rev. E 50, 1376 �1994�.14 J. J. Rocca, O. D. Cortazar, F. G. Tomasel, and B. T. Szapiro, Phys. Rev.

E 48, R2378 �1993�.15 M. Shuker, A. Ben-kish, A. Fisher, and A. Ron, Appl. Phys. Lett. 88,

061501 �2006�.16 K. Kolacek, J. Schmidt, V. Prukner, O. Frolov, and J. Straus, Proceedings

of the 28th ICPIG, 2007 �unpublished�, p. 74.17 E. Wyndham, M. Favre, R. Aliaga-Rossel, H. Chuaqui, I. Mitchell, and P.

Choi, J. Appl. Phys. 94, 5537 �2003�.18 E. S. Wyndham, M. Favre, and R. Aliaga-Rossel, Plasma Sources Sci.

Technol. 15, 538 �2006�.19 Cadmium rod, 10 mm diameter, from Goodfellow Corp.20 J. J. Gonzalez, M. Frati, J. J. Rocca, V. N. Shlyaptsev, and A. L.

Osterheld, Phys. Rev. E 65, 026404 �2002�.21 A. Rahman, E. C. Hammersten, S. Sakadzik, J. J. Rocca, and J. F. Wyart,

Phys. Scr. 67, 414 �2003�.22 Y. Li, J. Nilsen, J. Dunn, and A. L. Osterheld, Phys. Rev. A 58, R2668

�1998�.23 A. Rahman, J. J. Rocca, and J.-F. Wyart, Phys. Scr. 70, 21 �2004�.24 Yu. V. Afanasiev, V. P. Avtonomov, N. G. Basov, G. Korn, G. V. Sklizkov,

and V. N. Shlyaptsev, J. Sov. Laser Res. 10, 1 �1989�; V. N. Shlyaptsev, A.V. Gerusov, A. V. Vinogradov, J. J. Rocca, O. D. Cortazar, F. G. Tomasel,and B. Szapiro, Proc. SPIE 2012, 99 �1993�.

013503-8 Tomasel, Shlyaptsev, and Rocca Rev. Sci. Instrum. 79, 013503 �2008�

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