Laser Physics

, Volume 18, Issue 4, pp 495–499 | Cite as

Mathematical modeling of laser sublimation cutting

Novel Methods of Laser Technologies


The mathematical modeling of the laser cutting of steel plates is considered here by implementing the model proposed by Niziev and Nesterov, as formulated in [1]. The 3D-cutting front is described, according to this model, by a highly nonlinear partial differential equation. A number of simplifying assumptions can be formulated, however, so that this complex equation can be handled more easily. This enables us to concentrate on the physics of the model, rather than having to struggle with its mathematical manipulations. This simple model confirms in a capturing way the conjecture originally launched in [1] that cutting speed can be increased with a factor of about 1.5 to 2 by switching over from circular to radial polarization. As a further consequence, the model predicts that a similar improvement is also found regarding the plate thickness at a constant cutting speed.

PACS numbers

42.25.Bs 42.60.Jf 42.62.Cf 


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  1. 1.
    V. Niziev and A. Nesterov, “Influence of Beam Polarization on Laser Cutting Efficiency”, J. Phys. D 32, 1455–1461 (1999).CrossRefADSGoogle Scholar
  2. 2.
    A. Kaplan, Theoretical Analysis of Laser Cutting, (Shaker, Aachen, 2002).Google Scholar
  3. 3.
    C. Mas, PhD Thesis (Univ. Pierre et Marie Curie, Paris, 2003).Google Scholar
  4. 4.
    T. Moser, J. Balmer, D. Delbeke, and P. Muys, “Intracavity Generation of Radially Polarized CO2 Laser Beam Based on a Simple Binary Dielectric Diffraction Grating,” Appl. Opt. 45, 8517 (2006).CrossRefADSGoogle Scholar
  5. 5.
    M. Abdou Ahmed, J. Schultz, A. Voss, et al., “Radially Polarized 3 kW Beam from a CO2 Laser with an Intracavity Resonant Grating Mirror,” Opt. Lett. 32, 1824 (2007).CrossRefADSGoogle Scholar
  6. 6.
    I. Sneddon, Elements of Partial Differential Equations (McGraw-Hill, New York, 1957).MATHGoogle Scholar
  7. 7.
    R. Courant and D. Hilbert, Methods of Mathematical Physics (Interscience, New York, 1966), Vol. 2.Google Scholar
  8. 8.
    H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, 2nd ed. (Clarendon, Oxford, 1959; Nauka, Moscow, 1964).Google Scholar

Copyright information

© MAIK Nauka 2008

Authors and Affiliations

  1. 1.Lambda Research Optics EuropeEkeBelgium
  2. 2.Lambda Research Optics, Inc.Costa MesaUSA

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