Abstract
Thin metallic films evaporated on an Al2O3-single crystal and cooled to liquid helium temperatures are heated by short electric current pulses. The high frequency part of the emitted phonons is detected by calibrated superconductive tunneling junctions on the opposite surface of the substrate. The observed phonon detector signal amplitude is compared with theoretical models taking account of the boundary conditions for elastic waves in the film. It is found that the phonon spectrum emitted perpendicularly to the substrate-film boundary depends strongly on the thickness of the heater film.
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The emissivitiese (10)σ for a given polarization have been calculated by Weis [4] by averaging over the different directions of the crystal half-space. Because the phonon transmission is limited to a small cone within the critical angle of total reflection, the dependence ofe (10)σ from the different models is small compared to the influence of the phonon density of states. So we took for all models the same value ofe (10)σ
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Frick, W., Waldmann, D. & Eisenmenger, W. Phonon emission spectra of thin metallic films. Appl. Phys. 8, 163–171 (1975). https://doi.org/10.1007/BF00896033
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DOI: https://doi.org/10.1007/BF00896033