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Cited by 99 publications
(23 citation statements)
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“…As the signal measured on the lock-in amplifier again corresponds to the difference between the thermal emission when the current is on and off, the calculated spectra were obtained by calculating the difference between two grey-body curves, one corresponding to emission from the hot graphene when the current is on, and the second corresponding to the cooler background temperature of the underlying silicon dioxide/silicon when the current is off, consistent with the mapping measurements. Values of 2%, 6% and 6% were taken for the emissivity of the monolayer, multi-layer, and silicon respectively, 21 yielding temperatures of the graphene and background silicon chip of 600 K and 350 K for the monolayer, and 620 K and 480 K for the multilayer devices (as the currents are applied for many hours during measurements, the silicon substrate reaches an equilibrium background temperature). Note that we are assuming that the graphene emitting area reaches equilibrium with the underlying substrate when the current is off, but further work would be needed to confirm this.…”
mentioning
confidence: 99%
“…As the signal measured on the lock-in amplifier again corresponds to the difference between the thermal emission when the current is on and off, the calculated spectra were obtained by calculating the difference between two grey-body curves, one corresponding to emission from the hot graphene when the current is on, and the second corresponding to the cooler background temperature of the underlying silicon dioxide/silicon when the current is off, consistent with the mapping measurements. Values of 2%, 6% and 6% were taken for the emissivity of the monolayer, multi-layer, and silicon respectively, 21 yielding temperatures of the graphene and background silicon chip of 600 K and 350 K for the monolayer, and 620 K and 480 K for the multilayer devices (as the currents are applied for many hours during measurements, the silicon substrate reaches an equilibrium background temperature). Note that we are assuming that the graphene emitting area reaches equilibrium with the underlying substrate when the current is off, but further work would be needed to confirm this.…”
mentioning
confidence: 99%
“…When a material is semitransparent, the emittance can increase drastically due to the large chance of light trapping by total internal reflections inside the material. Some previous studies calculated the emittance of rough silicon wafers by considering surface roughness as a parameter in an emittance model without considering the actual statistics of the surface topography [3,4]. In the present study, we calculate the emittance from the BRDF obtained from a Monte Carlo ray-tracing method, which incorporates the actual surface statistics to investigate the effect of anisotropic roughness on the directional spectral emittance.…”
Section: Monte Carlo Modelingmentioning
confidence: 99%
“…Many researchers have studied the emittance of rough silicon surfaces for accurate radiometric temperature measurements during rapid thermal processing [3][4][5]. Vandenabeele and Maex [3] measured the emittance of wafers with varying degrees of surface roughness and found that even moderate roughness can enhance the emittance for wafers in the semitransparent spectral region.…”
Section: Introductionmentioning
confidence: 99%
“…Emissivity, ε, is determined from the expression ε ϭ 1 Ϫ R Ϫ T, where R and T are the measured reflectivity and transmissivity, respectively. 32 By optical reciprocity, the absorptivity is determined by the emissivity. The surface texture in the single-side polished wafer (10-30 µm laterally, 1-µm rms vertically) is seen to increase the emissivity.…”
Section: Optical Confinementmentioning
confidence: 99%
“…The spectral emissivities of the rough and smooth sides of a single-side polished Si wafer and of a double-side polished Si wafer 32. …”
mentioning
confidence: 99%