1985
DOI: 10.1063/1.335337
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Time-dependent heat flow calculation of cw laser-induced melting of silicon

Abstract: The time evolution of the temperature profile during cw laser processing is calculated including the effects of melting using computer simulation. Results, presented for single-crystal silicon irradiated by an argon ion cw laser, show that high scanning speed can result in a non-steady-state situation for the temperature rise. In this case the maximum temperature and melt depth become functions of the dwell time and also less sensitive to the incident laser power, as a result of which scanning speed can be eff… Show more

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Cited by 38 publications
(6 citation statements)
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“…The percentage of differences between the predictions and measured values in Figure is higher at lower laser powers. Schvan and Thomas in consideration of the CW laser-induced melting of silicon have also reported such a deviation in comparison of calculated with measured melt depths. This was attributed to the fact that the spatial gradient of the temperature is lower near the peak of the temperature profile, which is the important region at lower incident powers.…”
Section: Resultsmentioning
confidence: 90%
“…The percentage of differences between the predictions and measured values in Figure is higher at lower laser powers. Schvan and Thomas in consideration of the CW laser-induced melting of silicon have also reported such a deviation in comparison of calculated with measured melt depths. This was attributed to the fact that the spatial gradient of the temperature is lower near the peak of the temperature profile, which is the important region at lower incident powers.…”
Section: Resultsmentioning
confidence: 90%
“…We also note that there is significant modification of the region around the focal point of the laser, extending to several hundred microns ( Figure 2 b). We expect that exposure of the CW laser generates heat at the focal point, and its accumulation causes significant oxidation and modification on the sample surface [ 14 , 15 , 16 ]. In contrast, the femtosecond laser demonstrates a clean cut and minimal darkening on the sample ( Figure 2 c).…”
Section: Resultsmentioning
confidence: 99%
“…The transient heat conduction equation governing the heat flow in the wafer may be written as follows: ttrue(ρCpTtrue)=true(KTtrue)+ρCpvTx+Ql, where ρ is the density, C p is the specific heat capacity, K is the thermal conductivity, and v is the scanning speed of the laser beam. The variable Q l is the volumetric heat source representing the energy flow from laser beam into the material, and may be expressed as Ql=true(1Rtrue)αI0exptrue(x2σstand2true)exptrue(0yαtrue(ytrue)dytrue), where α is the absorption coefficient, I 0 is the maximum laser beam intensity, R is the reflection coefficient, and σ stand is the standard deviation of the laser beam. The initial and boundary conditions for the problem may be written as Ttrue(x ,y,0true)=Ti, KTx=htrue(TTtrue)+ϵtrue(σT4T4true),at X=L/2andX=L/2, …”
Section: Modelling Approachmentioning
confidence: 99%
“…where ρ is the density, C p is the specific heat capacity, K is the thermal conductivity, and v is the scanning speed of the laser beam. The variable Q l is the volumetric heat source representing the energy flow from laser beam into the material, and may be expressed as [28,30]…”
Section: Modelling Approachmentioning
confidence: 99%