Abstract
A multilevel mathematical model of the local kinetics of a laser medium of initial composition He-Kr-F2 is constructed by analyzing the relaxation mechanisms of a plasma produced when an electron beam enters a dense gas. A working program is written for solving with a BÉSM-6 computer the corresponding system of balance equations for the populations and temperatures. Some results of demonstration computations are cited. Ways and prospects of improving the model are discussed.
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Literature Cited
K. Smith and R. M. Thomson, Computer Modeling of Gas Lasers, Plenum Press, New York (1978).
I. S. Lakoba and S. I. Yakovlenko, “Active media of exciplex lasers (Review),” Kvantovaya Élektron. (Moscow),7, 677–719 (1980).
J. K. Rice, G. C. Tisone, and E. L. Patterson, “Oscillator performance and energy extraction from a KrF laser pumped by a high-intensity relativistic electron beam,” IEEE J.,QE-16, 1315–1326 (1980).
G. L. Oomen and W. J. Whitteman, “A coaxial e-beam excitation system for high-power excimer laser,” Opt. Commun.,32, 461–466 (1980).
C. B. Edwards, F. O'Neil, and J. M. Shaw, “60-nsec e-beam excitation of rare-gas halide lasers,” Appl. Phys. Lett.,30, 617–620 (1980).
V. Yu. Baranov, V. M. Borisov, A. M. Davidovskii, and O. B. Khristoforov, “Use of discharge over a dielectric surface for preionization in excimer lasers,” Kvantovaya Élektron. (Moscow),8, 77–82 (1981).
T. S. Fahlen, “200-W KrF gas transport laser,” IEEE J.,QE-16, 1260–1262 (1980).
M. C. Gower, “KrF laser-induced breakdown of gases,” Opt. Commun.,36, 43–45 (1981).
J. C. Swingle, L. D. Shlitt, W. R. Rapoport, et al., “Efficient narrowband electron beam pumped KrF laser for pulse-compression studies,” J. Appl. Phys.,52, 91–96 (1981).
O. P. Elin and S. I. Yakovlenko, “Feasibility of modulated-electron-beam excited lasers,” Preprint IAÉ-3166, Moscow (1979).
S. I. Yakovlenko and O. P. Yelin, “On the pumping of plasma lasers by a high-frequencymodulated electron beam,” Phys. Lett.A84, 190–192 (1981).
I. M. Belousova, A. V. Dement'ev, Yu. I. Dymshits, et al., “Xe-F laser with high pulse repetition frequency,” Pis'ma Zh. Tekh. Fiz,6, 950–955 (1980).
T. H. Dunning and P. J. Hay, “The covalent and ionic states of rare gas monofluorides,” J. Chem. Phys.,69, 134–149 (1978).
J. G. Eden, R. W. Waynant, S. K. Searles, and R. Burnham, “New quenching rates applicable to the KrF laser,” Appl. Phys. Lett.,32, 733–735 (1978).
J. Tellinghuisen, A. K. Hays, J. M. Hoffman, and G. C. Tisone, “Spectroscopic studies of diatomic noble gas halides. II. Analysis of bound-free emission from XeBr, XeI, and KrF,” J. Chem. Phys.,65, 4473–4482 (1976).
C. H. Bercker, P. Casvecchia, and Y. T. Lee, “Crossed molecular beam studies on the interaction potential for F (2P)+Ne, Ar, Kr (1S),” ibid.,70, 2986–2990 (1979).
J. E. Velazco, J. H. Kolts, and D. W. Setser, “Quenching rate constants for metastable argon, krypton, and xenon atmos by fluorine-containing molecules and branching ratios for XeF* and KrF* formation,” ibid.,65, 3468–3480 (1976).
L. I. Gudzenko and S. I. Yakovlenko, Plasma Lasers [in Russian], Atomizdat, Moscow (1978).
C. de Vreugd, R. W. Wijnaendlts van Resandt, and J. Los, “The well depths of XeF− and XeCl− from differential scattering measurements,” Chem. Phys. Lett.,65, 93–94 (1979).
I. Kuen and F. Howorka, “Noble gas halide ions: KrCl+, KrF+, ArCl+, ArI+,” J. Chem. Phys.,70, 595–596 (1979).
D. E. Rothe and R. A. Gibson, “Analysis of spark-preionized large volume XeF and KrF discharge lasers,” Opt. Commun.,22, 265–268 (1977).
H. Pummer, K. Hohla, and F. Rebentrost, “Influence of the collisional coupling on the energy extraction from the B, C, and D state in KrF,” Appl. Phys.,20, 129–134 (1979).
J. H. Jacobs, D. W. Trainor, M. Rokni, and J. C. Hsia, “Accessibility of the KrF*(B) state to laser photons,” Appl. Phys. Lett.,37, 522–524 (1980).
R. A. Walters, J. D. Cox, R. T. Shneider, and J. Hagefstration, “Generation, measurement, and utilization of xenon excimer radiation produced by nuclear reaction products,” Trans. Am. Nucl. Soc.,34, 808–810 (1980).
J. G. Eden, R. S. F. Chang, and L. J. Palumbo, “Absorption in the near-ultraviolet wing of the Kr2F* (410 nm) band,” IEEE J.,QE-15, 1146–1156 (1979).
F. K. Tittel, M. Smayling, W. L. Wilson, and G. Marowsky, “Blue laser action by the rare-gas trimer Kr2F,” Appl. Phys. Lett.,37, 862–864 (1980).
N. G. Basov, V. S. Zuev, A. V. Kanaev, et al., “Lasing of an optically pumped triatomic excimer,” Kvantovaya Élektron. (Moscow),7, 2660–2661 (1980).
J. A. Mangano, J. Hsia, J. H. Jacob, and B. N. Srivastava, “Plasma return current discharge,” Appl. Phys. Lett.,33, 487–489 (1978).
W. B. Lacina and B. D. Kohn, “Theoretical analysis of the electrically excited KrF laser,” ibid.,32, 106–108 (1978).
A. A. Zembekov, E. E. Nikitin, U. Havemann, and L. Zulike, “Dynamics of harpoon reactions —the prototypes of chemoionization processes,” in: Plasma Chemistry [in Russian], No. 6, Atomizdat, Moscow (1979), pp. 3–53.
W. J. Witteman and G. L. Oomen, “On the performance of an e-beam pumped KrF laser,” Opt. Commun.,32, 467–472 (1980).
W. L. Morgan and A. Szöke, “Kinetic processes in Ar−Kr−F2 laser mixtures,” Phys. Rev.,A23, 1256–1265 (1981).
M. M. Mkrtchyan and V. G. Platonenko, “Kinetics of gas-discharge XeF excimer laser,” Kvantovaya Élektron. (Moscow),6, 1639–1647 (1979).
M. G. Voitik, “Theoretical investigation of the kinetics of elementary processes in excimer lasers using rare-gas and mercury with halogens,” Candidate's Dissertation, Moscow (1979).
J. W. Wilson, “Nuclear induced XeBr* photolytic laser model,” Appl. Phys. Lett.,37, 695–697 (1980).
L. I. Gudzenko, I. S. Lakoba, G. Yu. Petrushchenko, et al., “Small models of relaxation of a dense inert-gas plasma,” Trudy FIAN,120, 30–43 (1980).
J. K. Rice, A. K. Hays, and J. R. Woodworth, “VUV emissions from mixture of F2 and the noble gases: A molecular F2 laser at 1575 Å,” Appl. Phys. Lett.,31, 31–33 (1977).
R. E. Center and A. Mandl, “Ionization cross sections of F2 and Cl2 by electron impact,” J. Chem. Phys.,57, 4104–4106 (1972).
A. W. Fliflet, V. McCoy, and T. N. Rescigno, “Dissociation of F2 by electron impact excitation of the lowest3IIu electronic state,” Phys. Rev.,A21, 788–794 (1980).
R. J. Hall, “Dissociative attachment and vibrational excitation of F2 by slow electron,” J. Chem. Phys.,68, 1803–1807 (1978).
J. F. Liebman and L. C. Allen, “A salt chemistry of light noble gas compounds,” J. Am. Chem. Soc.,92, 3339–3543 (1970).
B. Liu and H. F. Schaefer, “Krypton monofluoride and its positive ion,” J. Chem. Phys.55, 2369–2374 (1971).
T. N. Rescigno and C. F. Bender, “The stability of the F2-ion: a model of dissociative attachment,” J. Phys.,B9, L329-L332 (1976).
A. S. Dickinson, R. E. Roberts, and R. B. Bernstein, “Ion-atom association reaction in the rare gases,” J. Phys.,B5, 355–365 (1972).
L. Ya. Efremenkova, A. A. Radtsig, and B. M. Smirnov, “Parameters of weakly bound molecular ions,” Opt. Spektrosk.,36, 61–68 (1974).
B. Rosen, Tables de Constantes de Données Numériques, Vol. 17, Pergamon Press (1970), p. 193.
C. Y. Ng, D. J. Trevor, B. H. Mohan, and Y. T. Lee, “Photoionization studies of the Kr2 and Ar2 van der Waals molecules,” J. Chem. Phys.,66, 446–449 (1977).
I.Ya. Fugol', A. G. Belov, E. V. Savchenko, and Yu. B. Poltoratskii, “Emission spectra of pure crystals of inert gases,” Preprint FTINT AN UkrSSR, Kharkov (1974).
D. C. Cartwright and P. J. Hay, “Technical studies of the valence electronic states and the2Πu←X1∑ +g absorption spectrum of the F2 molecule,” J. Chem. Phys.,70, 3191–3203 (1979).
W. R. Wadt and P. J. Hay, “Electronic states of Ar2F and Kr2F,” ibid.,68, 3850–3963 (1978).
L. I. Gudzenko, I. S. Lakoba, Yu. I. Syts'ko, and S. I. Yakovlenko, “Analysis of the possibility of amplifying VUV radiation in a helium plasma,” Preprint IAÉ-2912, Moscow (1977).
L. I. Gudzenko, I. S. Lakoba, Yu. I. Syts'ko, and S. I. Yakovlenko, “Analysis of the possibilities of VUV lasing on a helium dimer pumped by an electron beam,” Kvantovaya Élektron. (Moscow),6, 701–713 (1979).
L. J. Kieffer, “Low-energy electron-collision cross-section data,” Atom. Data,1, 19–89 (1969).
W. L. Borst, “Excitation of metastable argon and helium atoms by electron impact,” Phys. Rev.,A9, 1195–1200 (1974).
R. Deloche, P. Monchicourt, M. Cheret, and F. Lambert, “High pressure helium afterglow at room temperature,” ibid.13, 1140–1176 (1976).
A. J. Dixon, M. F. A. Harrison, and A. C. H. Smith, “A measurement of the electron impact ionization cross section of helium in metastable states,” J. Phys.,B9, 2617–2631 (1976).
D. Ton-That and M. R. Flannery, “Cross sections for ionization of metastable rare-gas atoms (Ne*, Ar*, Kr*, Xe*) and of metastable N *2 , CO* molecules by electron impact,” Phys. Rev.,A15, 517–526 (1977).
B. M. Smirnov, “Complex ions in gases,” Usp. Fiz. Nauk,121, 231–258 (1977).
Y.-J. Shiu and M. A. Biondi, “Dissociative recombination in Kr: dependence of the total rate coefficient and excited-state production on electron temperature,” Phys. Rev.,A16, 1817–1820 (1977).
T. D. Bonifield, F. H. K. Rambow, G. K. Walters, et al., “Production and decay of the Ou + and 1u states of Kr2 excited by synchrotron radiation,” Chem. Phys. Lett.,69, 290–295 (1980).
L. A. Vainshtein, M. I. Sobel'man, and E. A. Yukov, Cross Sections for Excitation of Atoms and Ions by Electrons [in Russian], Nauka, Moscow (1975).
K. J. McCann, M. R. Flannery, and A. Hazi, “Theoretical cross sections for ionization of metastable excimers Ne *2 and Ar *2 by electron impact,” Appl. Phys. Lett.,34, 543–545 (1979).
T. Oka, K. V. S. Rama Rao, J. L. Redpath, and R. F. Firestone, “Mechanism for decay and spontaneous radiative decay constants of the lowest-lying excited states of Ne2, Ar2, and Kr2,” J. Chem. Phys.,61, 4740–4746 (1974).
C. W. Werner, E. V. George, P. W. Hoff, and C. K. Rhodes, “Radiative and kinetic mechanism in bound-free excimer laser,” IEEE J.,QE-13, 769–783 (1977).
A. W. Johnson and J. B. Gerardo, “Deexcitation rates for excited xenon molecules,” Chem. Phys.,59, 1738–1741 (1973).
L. J. Kieffer, “Low-energy electron collision cross-section data,” At. Data,2, 293–391 (1971).
Yu. K. Gus'kov, K. V. Savvov, and V. A. Slobodyanyuk, “Total cross section for elastic scattering of slow electrons with E=0.025–1.0 eV by He, Ne, Ar, Kr, Xe atoms, measured by the time-of-flight method,” Zh. Tekh. Fiz.,48, 277–284 (1978).
R. E. Kennerly and R. A. Bonham, “Electron-helium absolute total scattering cross sections from 0.5 to 50 eV,” Phys. Rev.,A17, 1844–1854 (1978).
H.-L. Chen, R. E. Center, D. W. Trainor, and W. I. Fyfe, “Dissociative attachment of electron to F2,” Appl. Phys. Lett.,30, 99–101 (1977).
K. J. Nygaard, S. P. Hunter, J. Fletcher, and S. R. Fottyn, “Electron attachment in dilute fluorine-helium mixtures,” ibid.,32, 351–353 (1978).
D. W. Trainor and J. H. Jacob, “Electron dissociative attachment rate constants for F2 and NF3 at 300 and 500°K,” ibid.,35, 920–922 (1979).
G. E. Caledonia, “A survey of the gas-phase negative ion kinetics of inorganic molecules electron attachment reaction,” Chem. Rev.,75, 333–351 (1975).
B. M. Smirnov, Ions and Excited Atmos in a Plasma [in Russian], Atomizdat, Moscow (1974), p. 221.
W. L. Nighan, “Influence of electron-F2 collisions in rare gas-halide laser discharges,” Appl. Phys. Lett.,32, 297–300 (1978).
B. M. Smirnov, Atomic Collisions and Elementary Processes in Plasma [in Russian], Atomizdat, Moscow (1968), p. 151.
I. P. Guzov, S. B. Kormer, L. V. L'vov, et al., “Measurement of the recombination constant of atomic fluorine,” Kvantovaya Élektron. (Moscow),3, 2043–2047 (1976).
C. J. Ultee, “The homogeneous recombination rate constant of F atom at room temperature,” Chem. Phys. Lett.,46, 366–367 (1977).
A. W. Johnson and J. K. Rice, “Formation of xenon dimers in electron-beam-excited xenon and xenon-noble gas mixtures,” Bull. Am. Phys. Soc.,21, 169–170 (1976).
D. I. Virin, R. V. Dzhagatspanyan, V. V. Karchevtsev, et al., Ion-Molecular Reactions in Gases [in Russian], Nauka (1979), p. 86.
C. B. Collins and W. F. Lee, “Measurement of the rate coefficients for the bimolecular deexcitation reactions of He (23S) with selected atomic and molecular species,” J. Chem. Phys.,70, 1275–1285 (1979).
F. W. Lee, C. B. Collins, L. C. Pitchford and R. Deloche, “Pressure dependence of the reactions of He2(3∑ metastable molecules with Ar,” ibid.,68, 3025–3027 (1978).
R. E. Huffman, Y. Tanaka, and J. C. Larrabee, “Absorption coefficients of krypton in the 600- to 886-Å wavelength region,” Appl. Opt.,2, 947–954 (1963).
L. O. Hocker, “High-resolution study of the helium-fluorine laser,” J. Opt. Soc. Am.,68, 262–265 (1978).
C. B. Collins, F. W. Lee, and J. M. Carroll, “An atomic-fluorine laser pumped by charge transfer from He2 + at high pressures,” Appl. Phys. Lett.,37, 857–859 (1980).
J. H. Jacob, M. Rokni, J. A. Mangano and R. Brochu, “Formation and quenching processes in e-beam-pumped Kr/F2 mixture,” ibid.,32, 109–111 (1978).
M. R. Flannery and T. P. Yang, “Ionic recombination of rare-gas molecular ions X+ ions with F− in a dense gas X,” ibid.,32, 327–328 (1978).
M. R. Flannery and T. P. Yang, “Ionic recombination of rare-gas molecular ions X +2 with F− in a dense gas X,” ibid.,32, 357–358 (1978).
M. R. Flannery and T. P. Yang, “Ionic recombination of Kr+ and Kr2 + with F− in a dense buffer rare gas,” ibid.,33, 574–576 (1978).
I. S. Lakoba, E. D. Suchkova, and Yu. I. Syts'ko, “Calculation of the coefficients of ion-ion recombination with allowance for the temperature dependence,” Preprint FIAN, No. 8, Moscow (1981).
G. P. Quigley and W. M. Hughes, Lifetime and quenching rate constants for Kr2F* and Kr *2 ,” Appl. Phys. Lett.,32, 649–651 (1978).
J. A. Mangano, J. H. Jacob, M. Rokni, and A. Hawryluk, “Three-body quenching of KrF by Ar,” ibid.,31, 26–28 (1977).
V. H. Shui, “Calculation of recombination rate constants for KrF*+R+R→RKrF*+R (R=Ar, Kr),” ibid.,31, 50–51 (1977).
V. H. Shui, “Temperature dependence of recombination rate constants for KrF*+R+R→R KrF*+R (R=Kr, Ar),” ibid.,34, 203–204 (1979).
G. P. Quigley and W. M. Hughes, “The radiative lifetime and quenching of KrF,” ibid.,32, 627–629 (1978).
A. U. Hazi, T. N. Rescigno, and A. E. Orel, “Theoretical study of the deexcitation of KrF and XeF by low-energy electrons,” ibid.,35, 477–479 (1979).
R. F. Stebbings, F. B. Dunning, F. K. Tittel, and R. D. Rundel, “Photoionization of helium metastable atoms near threshold,” Phys. Rev. Lett.,30, 815–817 (1973).
K. J. McCann and M. R. Flannery, “Photoionization of metastable rare-gas atoms (He*→Xe*),” Appl. Phys. Lett.,31, 599–601 (1977).
T. W. Hartquist, “Photoionization cross sections of excited noble-gas atoms and dimers,” J. Phys.B11, 2101–2106 (1978).
H. A. Hyman, “Photoionization cross sections for excited states of argon and krypton,” Appl. Phys. Lett.,31, 14–15 (1977).
T. N. Rescigno, A. U. Hazi, and A. E. Orel, “Calculation of the photoionization cross section of the1∑ +u excimer state of Ar2,” J. Chem. Phys.,68, 5283–5284 (1978).
P. I. Bresler and G. A. Shtilerman, “Absorption coefficients of chlorine and fluorine in the 220–470-nm region,” Zh. Prikl. Spektrosk.,14, 728–731 (1971).
T. N. Rescigno, C. F. Bender, and B. V. McCoy, “Study of the photodetachment cross section of F−,” Phys. Rev.A17, 645–649 (1978).
W. R. Wadt, “The electronic states of Ar +2 , Kr +2 , Xe +2 . I. Potential curves with and without spin-orbit coupling,” J. Chem. Phys.,68, 402–404 (1978).
J. B. West and W. H. Long, “Absorption processes and molecular ion kinetics in e-beam excited rare gas plasmas,” Bull. Am. Phys. Soc.,23, 135 (1978).
R. Johnson, A. Chen, and M. A. Biondi, “Three-body association reactions of He+, Ne+, and Ar+ ions in their parent gases from 78 to 300°K,” J. Chem. Phys.,73, 1717–1720 (1980).
M. Grössl, M. Langenwalter, M. Helm, and T. D. Märk, “Molecular ion formation in decaying plasmas produced in pure argon and krypton,” ibid. J. Chem. Phys.,74, 1728–1735.
W. Wieme and J. Lenaerts, “Excimer formation in argon, krypton, and xenon discharge afterglow between 200 and 400°K,” ibid.,74, 483–493 (1981).
S. Takao, M. Kogoma, T. Oka, et al., “Optical absorption spectra and kinetic behavior of helium excited idatomic molecule (a 3∑ +u ),” ibid.,73, 148–155 (1980).
W. Lindinger, A. L. Schmeltekopf, and P. C. Fehsenfeld, “Temperature dependence of deexcitation rate constants of He (23S) by Ne, Ar, Xe, H2, N2, O2 NH3 and CO2,” ibid.,61, 2890–2895 (1974).
J. W. Parker, L. W. Anderson, W. A. Fitzsimons, and C. C. Lin, “Collisional quenching of He2 molecules in the3∑ +u level by impurity gases,” ibid.,75, 1804–1809 (1981).
S. Trajmar, S. K. Srivastava, H., Tanaka, et al., “Excitation cross section for krypton by electron in the 15-100-eV impact-energy range,” Phys. Rev.,A23, 2167–2177 (1981).
L. T. Specht, S. A. Lawton, and T. A. de Temple, “Electron ionization and excitation coefficients for argon, krypton and xenon in the low E/N region,” J. Appl. Phys.,51, 166–170 (1980).
D. C. Lorentz, “The physics of electron beam excited rare gases at high densities,” Physica (Utrecht),C82, 19–26 (1976).
D. W. Trainor and J. H. Jacob, “Electron quenching of KrF* and ArF*,” Appl. Phys. Lett.,37, 675–677 (1980).
N. R. Flannery and T. P. Yang, “Three-body recombination of rare gas atomic ions X+ with F− in a low-density gas X,” J. Chem. Phys.,73, 3239–3245 (1980).
J. N. Bardsley and J. M. Wadehra, “Monte Carlo simulation of three-body ion-ion recombination,” Chem. Phys. Lett.,72, 477–480 (1980).
W. L. Morgan, B. L. Whitten, and J. N. Bardsley, “Plasma shielding effects on ionic recombination,” Phys. Rev. Lett.,45, 2021–2024 (1980).
V. H. Shui and C. Duzy, “Theoretical study of formation rates of rare-gas halide trimers,” Appl. Phys. Lett.,36, 135–136 (1980).
T. N. Moseley, R. P. Saxon, B. A. Huber, et al., “Photofragment spectroscopy and potential curves of Ar2 +,” J. Chem. Phys.,67, 1659–1668 (1977).
W. R. Wadt, D. C. Cartwright, and J. C. Cohen, “Theoretical absorption spectra for Ne2 +, Ar2 +, Kr2 + and Xe2 + in the near ultraviolet,” Appl. Phys. Lett.,31, 672–674 (1977).
A. E. Orel, T. N. Rescigno, B. V. McKoy and P. W. Langhoff, “Photoexcitation and ionization in molecular fluorine: Stieltjes-Tchebycheff calculations in the static-exchange approximation,” J. Chem. Phys.,72, 1265–1275 (1980).
C. P. de Vries and H. J. Oskam, “Four-body conversion of atomic helium ions,” Phys. Rev.,A22, 1429–1435 (1980).
D. W. Trainor, J. H. Jacob and M. Rokni, “Electron and heavy particle temperature dependent quenching rate constants of XeF*,” J. Chem. Phys.,71, 3646–3651 (1980).
A. U. Hazi, A. E. Orel, and A. E. Rescigno, “Ab initio study of dissociative attachment of low-energy electrons to F2,” Phys. Rev. Lett.,46, 918–922 (1981).
A. Lifshitz, “Correlation of vibrational deexcitation rate constants (ko→1) of diatomic molecules,” J. Chem. Phys.,61, 2478–2479 (1974).
M. Shimauchi, “Effect of foreign gases on KrF laser spectra,” Jpn. J. Appl. Phys.,20, L473-L476 (1984).
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Translated from Trudy Ordena Lenina Fizicheskogo Instituta im. P. N. Lebedeva AN SSSR, Vol. 145, pp. 131–159, 1984.
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Lakova, I.S., Syts'ko, Y.I. & Yakubtseva, E.D. Numerical modeling of the local relaxation kinetics of the KrF laser. J Russ Laser Res 7, 535–561 (1986). https://doi.org/10.1007/BF01120400
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DOI: https://doi.org/10.1007/BF01120400