Abstract
A three-dimensional moving heat-source model is used to describe the effect of a focused laser beam in laser drilling processes. Using Green's function technique and assuming a plane disc approximation for the evaporation surface, general integral equations for the motion of this surface and equations for the temperature profile are derived. Conditions are found for the validity of simpler formulae where heat conduction losses may be neglected. This model takes into account the spatial and temporal parameters of the laser beam at the focal region, as well as the physical constants of the drilled material and its geometry.
Calculations of the functionZ(t) describing the motion of the evaporation surface were done for pulsed ruby-laser parameters which were determined experimentally. Experimental data onZ(t) was obtained by measuring the time needed to pierce samples of different thicknesses. The maximum depth achieved was also measured. Results of calculations and of measurements for laser pulse energies of 1.8 and 5.0 Joules in aluminum, copper and lead under different focusing conditions are reported and compared.
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References
C. DeMichelis: IEEE J. Quant. Elec. QE-6, 630 (1970)
S. I. Anisimov, Ya. A. Imas, G. S. Romanov, Yu. V. Khodyko:Effects of High-Power Radiation on Metals, National Technical Information Service, JPRS 53241 (1971)
J. F. Ready:Effects of High Power Laser Radiation (Academic Press, New York 1971)
N. M. H. Lightfoot: Proc. Lond. Math. Soc. (2)31, 97 (1929)
J. F. Ready: J. Appl. Phys.36, 462 (1965)
S. I. Anisimov, A. M. Bonch-Bruevich, M. A. El'yashevich, Ya. A. Imas, N. A. Pavlenko, G. S. Romanov: Sov. Phys. — Tech. Phys.11, 945 (1967)
U. C. Peak, F. P. Gagliano: IEEE J. Quant. Elec. OE-8, 112 (1972)
A. M. Bonch-Bruevich, Ya. A. Imas, G. S. Romanov, M. N. Libenson, L. N. Mal'tsev: Sov. Phys. — Tech. Phys.13, 640 (1968)
P. W. Bridgeman:The Physics of High Pressure (G. Bell and Sons, London 1949) Chapter VII
F. W. Dabby, U. C. Peak: IEEE J. Quant. Elec. QE-8, 106 (1972)
H. S. Carslaw, J. C. Jaeger:Conduction of Heat in Solids, 2nd Ed., (Oxford Univ. Press, London 1959) Chapters XI and XIV
See H. S. Carslaw, J. C. Jaeger:Conduction of Heat in Solids, 2nd Ed. (Oxford Univ. Press, London 1959), p. 374
See H. S. Carslaw, J. C. Jaeger:Conduction of Heat in Solids, 2nd Ed., (Oxford Univ. Press, London 1959), p. 370–371
See H. S. Carslaw, J. C. Jaeger:Conduction of Heat in Solids, 2nd Ed., (Oxford Univ. Press, London 1959), p. 60
E. Evtuhov, J. K. Needland: Pulsed ruby laser inLasers, Vol. 1, ed. by A. K. Levine. N. Y. 1966
R. W. O'Neil, H. Kleiman, P. F. Kellen: App. Opt.11, 692 (1972)
D. R. Skinner, R. E. Whitcher: J. Phys. E. Sci. Instr.5, 237 (1972)
R. Gerharz: Proc. IEEE52, 438 (1964)
D. E. Gray (Ed.):American Institute of Physics Handbook (McGraw Hill, New York 1963)
N. E. Lange (Ed.):Handbook of Chemistry (McGraw-Hill, New York 1961)
S. I. Andreev, I. V. Verzhikovskii, Yu. I. Dymshits, V. V. Kulikov, V. G. Neverov: Sov. Phys. — Tech. Phys.17, 705 (1972)
A. Kobayashi, Y. Nagano: Toshiba Review, December 1971
See J. F. Ready:Effects of High Power Laser Radiation (Academic Press, New York 1971), p. 101
D. Maydan: Bell Syst. Tech. J.50, 1761 (1971)
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Bar-Isaac, C., Korn, U. Moving heat source dynamics in laser drilling processes. Appl. Phys. 3, 45–54 (1974). https://doi.org/10.1007/BF00892333
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DOI: https://doi.org/10.1007/BF00892333