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3D modeling of material heating with the laser beam for cylindrical geometry
(Elsevier Ltd, 2006)
In this work an analytical approach for analyzing heating of material with a laser beam is presented. A thermal model of interaction for the case of cylindrical geometry of the material and asymmetric distribution of the ...
Evaluation of the fourier transform of e(-ux2) for imaginary U
(Springer Science and Business Media Deutschland GmbH, 2006)
It is shown that the Fourier integral of the function exp(-ux(2)) exists not only for u satisfying Re u gt 0 but also for u that satisfies Re u >= 0. The proof is given by evaluating this integral for imaginary u.