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General Solutions of the Heat Equation

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Part of the book series: Advanced Texts in Physics ((ADTP))

Abstract

The substrate shall be an infinite slab of uniform thickness, h s, that is irradiated by a cw- or pulsed-laser beam which is either focused or extended over a wider area (Fig. 6.1.1). For localized irradiation, the absorbed laser light generates a local temperature rise, ΔT(x, t), which can be calculated by solving the three-dimensional heat equation (2.2.1). For large-area (uniform) irradiation, the temperature is uniform within planes z = const., and the temperature rise, ΔT (z, t), can be calculated by solving the one-dimensional heat equation.

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© 2000 Springer-Verlag Berlin Heidelberg

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Bäuerle, D. (2000). General Solutions of the Heat Equation. In: Laser Processing and Chemistry. Advanced Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04074-4_6

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  • DOI: https://doi.org/10.1007/978-3-662-04074-4_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08614-4

  • Online ISBN: 978-3-662-04074-4

  • eBook Packages: Springer Book Archive

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