An approximate calculation method of material's temperature field is presented for pulse laser heat action when the
object irradiated by laser beam is regarded as homogeneous medium with constant thermophysical properties. And the
feasibility of this method is also proved by experiment. In order to let our investigation results be adapted for laser beam
with arbitrary intensity distribution, the approximate expressions of arbitrary distribution of laser beam and the method
of determining the thermophysical parameters of the material through the experiments are discussed.
Based on the theory of object wave reconstruction by means of inverse calculation of Collins' formula, the equations of object wave reconstruction are put forward in digital holographic research. An example of computer simulation of object wave reconstruction is presented.
The experiment of laser heat treatment of workpieces with a sharp board milled to be 90°, 55°, 45° and 35° has been finished to investigate the influences of the sharp board on the temperature field and the heat-affected zone. The spot of laser has been sampled using the thermal paper in two planes of different height h1 and h2, and the power distribution of laser has been simulated numerically. A finite element model of numerical calculation is developed to simulate the transient three-dimensional temperature field, and the shade plot and isotherm can be output in any longitudinal and transverse sections and then the hardened zones are determined. The several cross sections of treated workpieces are chosen to make the metallographical analysis and the comparisons with the numerical results. It has proved that the numerical results are in a good agreement with the experimental data and the sharp boards have a great influence on the temperature and the heat-affected zone when laser approaches to the sharp board of workpiece.
Rapid calculation methods for both transient temperature fields and steady-state temperature fields of laser heat treatments and their theoretic relation are discussed, with application examples of simulating calculation. The applicable conditions of rapid calculation methods for temperature fields are also investigated. The obtained results show that steady-state temperature fields are the ultimate solution of transient temperature fields, in which the time of laser interaction with matter is infinite, and the rapid calculation of transient temperature fields can describe heat interaction of a real laser much better. A quantitative criterion of the rapid calculation methods is given in the application research.
Since Fresnel diffraction integral can be expressed in convolution form, it can be calculated by Fast Fourier Transform (FFf) method. It is regarded that the FFT diffraction calculation can be achieved only in the region of Fresnel diffraction. But in fact, Kirchhoff's formula and Rayleigh-Sommerfeld's formulae can be also rewritten in convolution form so that the diffraction problems can be calculated very accurately with FFT method. In this paper we will deduce the convolutional form of the formulas of Kirchhoff's and Rayleigh-Sommerfeld's diffraction calculation. Finally, according to the principle of conversation of energy, we present a criterion to judge whether the numbers of sampling for FFT diffraction calculation is reasonable.
In this paper, a finite element model has been developed to numerically calculate the temperature field and velocity field of fluid in laser material remelting process. The effects of fluid flow on the temperature field and the shape of laser pool are investigated carefully and presented graphically to display the subtle changes of temperature field. The numerical results show that (1) in general, there are two opposite vortices in the pool and one is greater than other due to the translation of workpiece; (2) the mainly driven force in the pool is the thermocapillary force compared with the nature convection; (3) the shapes of the molten pools, due to the convection of flow, become flat compared with that without the effect of fluid flow.
In terms of Collins' formuJa, the diffraction integral equations for a piano-concave resonator are presented and transformed to the finite-sum matrix equations. The mode-field distributions and losses of a common piano-concave resonator and that with a Gaussian-reflectivity mirror are calculated. It is shown that the Gaussian-reflectivity piano-concave resonator has good choosing capability for transverse modes, which can be employed in the transverse-flow high-power CO2 laser to improve quality of laser beam.
A general method to analyse an optical resonator is based on the equivalent resonator theory namely the equivalent confocal system theory, but it can not accurately calculate the field distributions ofthe steady-state modes. In this paper, according to the self-reproducing theory and the angular spectra theory for diffraction, the seven-folded stable resonator with circular diaphragms is numerically simulated, and by FFT (Fast Fourier Transform) laser mode-fields in the folded resonator are spatially traced to obtain the stable laser fields. The computed results indicate that the seven-folded resonator with circular diaphragms can easily obtain the fundamental mode, so it can output laser beams of good quality.
When the time of thermal interaction is greater than the average free moving time of the microparticles in the medium, in general, it may been taken as the continuous medium which thermal properties are constants and 2(root)(alpha) t and (root)(alpha) /t are usually regarded as the thermal diffusive length and the thermal diffusive speed in time t respectively, where (alpha) is the diffusivity of the substance. In this paper, we have investigated the diffusion of the heat energy and defined the thermal diffusive length and the thermal diffusive speed as 3(root)(alpha) t and 1(DOT)5(root)(alpha) /t, with which the physical processes of the thermal conduction in the three- dimension continuous medium can be described more accurately. Finally, using the obtained results, we have listed the applied examples of the laser heat treatment in which whether the semi-infinite approximation calculation can be taken.
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