Kinetics of optical breakdown of aluminum vapor in wide frequency range. Modern state of the problem
Matematičeskoe modelirovanie, Tome 17 (2005) no. 12, pp. 27-79.

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Complete collisional-radiative model describing the kinetics of nonequilibrium ionization of atoms and ions of metal by laser irradiation was developed. The kinetics model include collisional reactions: electron excitation and deexcitation, cascade ionization and recombination, spontaneous decay of excited states and also photo processes: photoexcitation and deexcitation, photoionization and photorecombination in the laser field and continued irradiation. It allows to use suggesting model for the investigation of optical break-down of metal vapors in wide spectral range of acting irradiation. Optical breakdown of aluminum vapor was considered and spectral dependence of threshold intensity of laser irradiation $G^*(\omega_\ell)$ in the wave range $\lambda_\ell=10\div0,1\mu m$ was defined. Primary mechanisms of the breakdown in IR, visible and UF ranges of the irradiation under unlimited act duration were defined.
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V. I. Mazhukin; M. V. Mazhukin; P. Berger. Kinetics of optical breakdown of aluminum vapor in wide frequency range. Modern state of the problem. Matematičeskoe modelirovanie, Tome 17 (2005) no. 12, pp. 27-79. http://geodesic.mathdoc.fr/item/MM_2005_17_12_a1/

[1] W. W. Duley, Laser processing and analysis of materials, Plenum Press, New York–London, 1983, 502

[2] N. Rykalin, A. Uglov, I. Zuev, A. Kokora, Laser and electron beam material processing. Handbook, Mir Publishers, Moscow, 1988 ; Humphries M., Kahbert H. J., Pippert K., “The eximer laser on its way to industrial application”, Laser in manufacture, ed. M. M. Steen, Springer, London, 1987, 200 | MR

[3] D. Bäuerle, Laser processing and chemistry, Springer-Verlag, Berlin–Heidelberg–New York, 1986; 1996, 639 | MR

[4] Martin von Allmen, Laser-beam interaction with materials. Physical principles and applications, Springer-Verlag, Berlin–Heidelberg, 1987, 229

[5] A. A. Vedenov, G. G. Gladush, Fizicheskie protsessy pri lazernoi obrabotke materialov, Energoatomizdat, M., 1985, 206 pp.

[6] V. I. Mazhukin, A. A. Uglov, B. N. Chetverushkin, “Nizkotemperaturnaya lazernaya plazma vblizi metallicheskoi poverkhnosti pri vysokom davlenii gazov. Obzor”, Kvant. elektronika, 10:4 (1983), 679–701 | MR

[7] V. A. Batanov, F. V. Bunkin, A. M. Prokhorov, V. B. Fedorov, “Gazodinamicheskaya struktura plazmennogo fakela, voznikayuschego pri isparenii metallov moschnym opticheskim izlucheniem”, ZhETF, 63:10 (1972), 1240–1246

[8] A. N. Pirri, R. G. Root, P. K. S. Wu, “Plasma Energy Transfer to Metal Surfaces Irradiated by Pulsed Lasers”, AIAA J., 16:12 (1978), 1296–1304 | DOI

[9] V. A. Danilychev, V. D. Zvorykin, I. V. Kholin, F. Yu. Chugunov, “Issledovanie dinamiki obrazovaniya plazmy vblizi misheni pod deistviem mikrosekundnykh impulsov $\mathrm{CO}_2$-lazera”, Kvantovaya elektronika, 7:12 (1980), 2599–22603

[10] K. Kadawa, S. Yokoi, S. Nakajima, “Metal plasma inducted by the bombardment of 308 nm eximer and 585 dye laser pulses at low pressure”, Opt. Commun., 45:4 (1983), 261–265 | DOI

[11] H. T. Buscher, R. G. Tomlinson, E. K. Damon, “Frequency dependence of optically induced gas breakdown”, Phys. Rev. Lett., 15 (1965), 847–849 | DOI

[12] A. J. Alcock, K. Kato, M. C. Richardson, “New features of laser-induced gas breakdown in the ultraviolet”, Opt. Commun., 6 (1972), 342–344 | DOI | MR

[13] D. I. Rosen, G. Weyl, “Laser-induced breakdown in nitrogen and the rare gases at 0.53 and 0.35 $\mu m$”, J. Appl. D, 10 (1987), 1264–1276 | DOI

[14] E. O. Danilov, V. A. Danilychev, V. A. Dolgikh, V. D. Zvorykin, M. E. Zemskov, O. M. Kerimov, G. E. Metreveli, G. Yu. Tamanyan, “Isparenie mishenei i formirovanie voln pogloscheniya v vozdukhe pod deistviem UF lazernogo izlucheniya”, Kvantovaya elektronika, 15:12 (1988), 2568–2577

[15] Yu. P. Raizer, Fizika gazovogo razryada, Nauka, M., 1987

[16] W. W. Duley, UV Lasers: effects and applications in materials science, Cambridge University Press, 1996 | MR

[17] Ya. B. Zeldovich, Yu. P. Raizer, Fizika udarnykh voln i vysokotemperaturnykh gidrodinamicheskikh yavlenii, Nauka, M., 1966

[18] E. M. Lifshitz, L. P. Pitaevskii, Physical kinetics. Vol. 10. Course of theoretical physics, Pergamon Press, Oxford, England, 1981 | MR

[19] M. Mitchner, Ch. H. Kruger, Partially Ionized Gases, John Wiley, New York, 1973

[20] L. Spitzer, Physics of fully ionized gases, Interscience Publishers, New York, 1956 | MR | Zbl

[21] H. Van Regemorter, “Rate of collisional excitation in stellear atmospheres”, Astrophys. J., 132 (1962), 906

[22] R. Mewe, Astronomy Astrophysics, 20 (1972), 256–277

[23] W. J. Wiese, M. W. Smith, B. M. Miles, Atomic Transition probabilities, v. 2, NBS, Washington, 1969

[24] C. W. Allen, Astrophysical quantities, The Athlone Press, University of London, 1973 | MR

[25] D. Sleter, Metody samosoglasovannogo polya dlya molekul i tverdykh tel, Mir, M., 1978

[26] H. W. Drawin, “Influence of atom-atom collision on the collisional-radiative ionization and recombination coef-ficients of hydrogen plasmas”, Z. Physik, 225 (1969), 483–493 | DOI

[27] W. Lotz, “Electron-impact ionization cross-section for atoms up to $z=108$”, Zs. Physic, 232 (1970), 101–107 | DOI | MR

[28] W. Lotz, “An empirical formula for the electron-impact ionization cross-section”, Z. Physik, 206 (1967), 205–211 | DOI

[29] L. I. Gudzenko, C. I. Yakovlenko, Plazmennye lazery, Atomizdat, M., 1978

[30] E. Frish, “Opredelenie kontsentratsii normalnykh i vozbuzhdennykh atomov i sil ostsillyatorov”, Spektroskopiya gazorazryadnoi plazmy, Nauka, Leningrad, 1970, 7–62

[31] Ch. E. Moore, Atomic energy levels. V. I. Circular of the National Bureau of standards, no 464, 1949 ; V. II, 1952 ; V. III, 1958 | MR

[32] R. G. Breene, The Shift and Shape of Spectral Lines, Pergamon Press, London, 1961

[33] A. C. G. Mitchell, M. W. Zemansky, Resonance radiation and exited atoms, University Press, Cambridge, 1934 ; 1961 | MR | Zbl

[34] I. I. Sobelman, Atomic spectra and radiative transitions, Springer-Verlag, Berlin–Heidelberg–New York, 1979

[35] C. E. Frish, Opticheskie spektry atomov, Fizmatgiz, M., 1963

[36] G. Traving, “Ushirenie i sdvig spektralnykh linii”, Metody issledovaniya plazmy, ed. V. Lokhte-Kholtgrevena, Mir, M., 1971, 57–107

[37] H. Jensen, Zs. Physik, 80 (1933), 448 | DOI

[38] H. R. Griem, Plasma spectroscopy, McGraw-Hill, New York, 1964

[39] L. A. Vainshtein, I. I. Sobelman, E. A. Yukov, Vozbuzhdenie atomov i ushirenie spektralnykh linii, Nauka, M., 1979 | MR

[40] A. A. Vlasov, V. S. Fursov, “Teoriya shiriny spektralnykh linii v odnorodnom gaze”, ZhETF, 6:8 (1936), 750–773 | MR

[41] H. Margenau, Phys. Rev., 48 (1935), 755–778 | DOI

[42] A. Unsőld, Physik der Sternatmosphären, Berlin, 1955 | Zbl

[43] A. Unsőld, B. Baschek, Der neue Kosmos, Springer-Verlag, Berlin–Heidelberg, 1981; 1988

[44] N. B. Delone, V. P. Krainov, Atom v silnom svetovom pole, Energoatomizdat, M., 1984

[45] H. A. Kramers, “On the theory of X-ray absorptionand the continuous X-ray spectrum”, Phil. Mag., 46:275 (1923), 836–847

[46] H. Maecker, T. Peters, “Das Electronenkontinuum in der Säule des Hochstrom kohlebogens und in anderen Bögen”, Z. Physik, 139:4 (1954), 448–463 | DOI

[47] C. I. Yakovlenko, Radiatsionno-stolknovitelnye yavleniya, Energoatomizdat, M., 1984, 209

[48] F. Cabannes, J. Chapelle, Spectroscopic plasma diagnostics, chapter 7 of: Reactions under plasma conditions, vol. I, ed. M. Venugopalan, Wiley Interscience, New York–London, 1971

[49] L. M. Biberman, G. E. Norman, “O raschete fotoionizatsionnogo pogloscheniya”, Optika i spektroskopiya, 1960, no. 4, 433–438

[50] Fuhr J. R., Miller B. J., Martin G. A., Bibliography on atomic transition probabilities, NBS Special publication, 505, Washington, 1978; Suppl. 1, Washington, 1980

[51] V. I. Mazhukin, I. V. Gusev, I. Smurov, G. Flamant, “Laser-Induced Breakdown of Metal Vapor.”, Microchemical J., 50 (1994), 413–433 | DOI

[52] V. I. Mazhukin, V. V. Nosov, I. Smurov, G. Flamant, “Analysis of nonequilibrium phenomena during interaction of laser radiation with metal vapors”, Serveys on Mathematics for Industry, 10:1 (2001), 45–82 | MR | Zbl

[53] C. W. Gear, “The numerical integration of ordinary differential equations”, Math. Comput., 21 (1967), 146–156 | DOI | MR | Zbl

[54] C. D. Byrne, A. C. Hindmarsh, “Stiff ODE Solvers: A Review of Current and Coming Attractions”, J. Comp. Phys., 70 (1987), 1–62 | DOI | MR | Zbl

[55] E. Hairer, S. P. Norsett, G. Wanner, Solving Ordinary Differential Equation (1). Nonstiff Problems, Springer-Verlag, Berlin, 1989

[56] E. Hairer, S. P. Norsett, G. Wanner, Solving Ordinary Differential Equation (2). Stiff Problems, Springer-Verlag, Berlin, 1991 | MR | Zbl

[57] C. W. Gear, “DIFSUB for Solution of Ordinary Differential Equations”, Com. Assoc. Comput. Machinery, 14:3, 185–190 | MR

[58] A. C. Hindmarsh, C. D. Byrne, “Applications of EPISOD. An Experimental Package for the Integration of Systems of Ordinary Differential Equations”, Numerical Methods for Differential Systems, eds. L. Lapidus, W. E. Schiesser, Academic Press, 1976, 147–166 | MR

[59] A. C. Hindmarsh, “LSODE and LSODI Two New Initial Value ODE Solvers”, ACM SIGNUM Newsletter, 15:4 (1980), 10–11 | DOI

[60] M. N. Saha, Proc. Roy. Soc. A (London), 99 (1921), 135 | DOI

[61] V. I. Mazhukin, A. A. Samarskii, “Mathematical modeling in the technology of laser treatments of materials”, Surv. Math. Ind., 4 (1994), 85–149 | MR | Zbl

[62] L. M. Biberman, V. S. Vorobev, I. T. Yakubov, Kinetika neravnovesnoi nizkotemperaturnoi plazmy, Moskva, M., 1982

[63] E. A. Volkova, O. B. Vorobev, A. S. Kovalev, A. M. Popov, B. V. Seleznev, “Vzaimodeistvie $\mathrm{CO}_2$-lazera s relaksiruyuschei plazmoi proboya”, Kvantovaya elektronika, 16:12 (1989), 2524–2526

[64] G. Weyl, A. Pirri, R. Root, “Laser Ignition of Plasma Off Aluminum Surfaces”, AIAA Journal, 19:4 (1981), 460–469 | DOI

[65] A. S. Kovalev, A. M. Popov, A. T. Rakhimov, B. V. Seleznev, S. M. Khropov, “Proboi gaza u metallicheskoi poverkhnosti impulsom $\mathrm{CO}_2$-lazera dlitelnostyu 10-1000 mks”, Kvantovaya elektronika, 12:4 (1985), 713–718 | MR

[66] C. T. Walters, R. H. Barnes, R. E. Beverly, “Initation of Laser Supported Detonation (LSD) Waves”, J. Appl. Phys., 49 (1978), 2937–2949 | DOI

[67] A. I. Barchukov, F. V. Bunkin, V. I. Konov, A. A. Lyubin, “Issledovanie nizkoporogovogo proboya gazov vblizi tverdykh mishenei izlucheniem $\mathrm{CO}_2$-lazera”, ZhETF, 66:3 (1974), 965–982 | MR

[68] M. Ignatavichyus, E. Kazakyavichyus, G. Orshevski, V. Danyunas, “Vremennye i termodinamicheskie kharakteristiki plazmoobrazovaniya”, Kvantovaya elektronika, 18:11 (1991), 1325–1328

[69] V. P. Ageev, A. A. Gorbunov, V. I. Konov, D. S. Lukovnikov, S. V. Melchenko, A. M. Prokhorov, V. F. Tarasenko, “Nagrev metallov nanosekundnymi impulsami izlucheniya $\mathrm{XeF}$-lazera s obrazovaniem pripoverkhnostnoi plazmy”, Kvantovaya elektronika, 10:7 (1983), 1466–1469

[70] V. P. Ageev, A. A. Gorbunov, V. P. Danilov, V. I. Konov, P. I. Nikitin, A. M. Prokhorov, “Porogovye usloviya plazmoobrazovaniya pri vozdeistvii na tverdye misheni impulsnogo UF izlucheniya”, Kvantovaya elektronika, 10:12 (1983), 2451–2456

[71] H. Schittenhelm, G. Callies, P. Berger, H. Hugel, “Investigations of extinction coefficients during excimer laser ablation and their interpretation in terms of Rayleigh scattering”, J. Phys. D: Appl.Phys., 29 (1996), 1564–1575 | DOI

[72] H. Schittenhelm, G. Callies, P. Berger, H. Hügel, “Time-resolved interferometric investigations of the $\mathrm{KrF}$-laser – induced interaction zone”, Appl. Surface Science, 109–110 (1997), 494–497 | DOI | MR

[73] E. O. Danilov, V. A. Danilychev, V. A. Dolgikh, V. D. Zvorykin, M. E. Zemskov, O. M. Kerimov, G. E. Metreveli, G. Yu. Tamanyan, “Struktura poverkhnosti mishenei i nachalnaya stadiya ispareniya pod deistviem impulsov izlucheniya $\mathrm{KrF}$-lazera”, Kvantovaya elektronika, 15:12 (1988), 2560–2567

[74] D. I. Rosen, J. Mitteldorf, G. Kothandaraman, A. N. Pirri, E. R. Pugh, “Coupling of pulsed 0,35 $\mu m$ laser radiation to aluminum alloys”, J. Appl. Phys., 53 (1982), 3190 | DOI

[75] A. M. Popov, “Proboi gazov vblizi metallicheskikh poverkhnostei pod deistviem lazernogo izlucheniya ultrafioletovogo diapazona”, Zhurn. Tekhn. fiziki, 52 (1982), 2105–2106