2018
DOI: 10.48550/arxiv.1811.00571
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3-omega method for thermal properties of thin film multilayers

Abstract: Short review on the different models for the electro-thermal 3-omega method. We present the deduction of the fundamental relation between the 3ω voltage with the temperature rise to determine the thermal conductivity. The usage of the anisotropy of the films allows a smooth transition between 1D and 2D models. A comparison between the multilayer methods and analytical solutions are presented.

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Cited by 1 publication
(2 citation statements)
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“…From the literature, the steady-state harmonic temperature oscillations in the metal heater produce harmonic variations in the resistance of the metal line given by the following equation: 153 1 where β is the TCR of the metal heater, Δ T DC is the temperature change due to the RMS power dissipated by the 1D line heater, |Δ T AC | is the magnitude of the temperature oscillations due to the AC Joule heating component, and is the phase delay between the temperature oscillations and the injected current i . The voltage across the 1D heater is the product of the heater resistance and the current injected into the heater: 153 The 3 ω component of the voltage arises from the product of the resistance change due to Joule heating at 2 ω and the input current oscillating at frequency ω . The amplitude of the third harmonic voltage is given by 153 where V 0 = i 0 R 0 and T 2ω is the complex AC temperature oscillation at 2ω.…”
Section: Techniques For Meauring the Isotropic Effective Thermal Tran...mentioning
confidence: 99%
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“…From the literature, the steady-state harmonic temperature oscillations in the metal heater produce harmonic variations in the resistance of the metal line given by the following equation: 153 1 where β is the TCR of the metal heater, Δ T DC is the temperature change due to the RMS power dissipated by the 1D line heater, |Δ T AC | is the magnitude of the temperature oscillations due to the AC Joule heating component, and is the phase delay between the temperature oscillations and the injected current i . The voltage across the 1D heater is the product of the heater resistance and the current injected into the heater: 153 The 3 ω component of the voltage arises from the product of the resistance change due to Joule heating at 2 ω and the input current oscillating at frequency ω . The amplitude of the third harmonic voltage is given by 153 where V 0 = i 0 R 0 and T 2ω is the complex AC temperature oscillation at 2ω.…”
Section: Techniques For Meauring the Isotropic Effective Thermal Tran...mentioning
confidence: 99%
“…The voltage across the 1D heater is the product of the heater resistance and the current injected into the heater: 153 The 3 ω component of the voltage arises from the product of the resistance change due to Joule heating at 2 ω and the input current oscillating at frequency ω . The amplitude of the third harmonic voltage is given by 153 where V 0 = i 0 R 0 and T 2ω is the complex AC temperature oscillation at 2ω. The average temperature of the line heater is given by 74 2 where l and b are the length and half-width of the line heater, respectively, v represents 1D Fourier space, and 1/ q = h which is the thermal penetration depth.…”
Section: Techniques For Meauring the Isotropic Effective Thermal Tran...mentioning
confidence: 99%