Thermal Radiative Transport Enhancement via Electromagnetic Surface Modes in Microscale Spherical Regions Bounded by Silicon Carbide

[+] Author and Article Information
James S. Hammonds

Department of Mechanical Engineering, The City College of New York, New York, NY 10031hammonds@ccny.cuny.edu

J. Heat Transfer 129(1), 94-97 (Jul 24, 2006) (4 pages) doi:10.1115/1.2401203 History: Received January 15, 2006; Revised July 24, 2006

A Green function approach is used with the fluctuation-dissipation theorem to develop a qualitative theoretical model of radiation heat transfer across an evacuated microscale spherical geometry bounded by silicon carbide. The appropriate scalar Green function is presented by employing an impedance boundary condition to describe the electromagnetic spherical interface condition and thus capture the surface modes. This work shows that the spherical boundary can result in spectral conditions for surface mode excitation that depend not only on the dielectric function, but on the sphere radius as well. The surface modes are shown to enhance the radiation significantly and are attributed to surface phonon polariton modes excited at the interface, and surface modes excited by the mechanism of total internal reflection.

Copyright © 2007 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

The evacuated sphere shown in this figure is irradiated by plane waves that originate from the thermal radiation source located at r′. This analysis assumes a linear temperature distribution, as illustrated in the lower part of the figure. For a given temperature of T2 at rs(z=−R), and T1 at (z=R), Eq. 7 gives the temperature at all other points r′.

Grahic Jump Location
Figure 2

The normalized spectral flux, Θ̂TM, at point rs of the spectral region shown in Fig. 1 for sphere radii (a)R=1mm, (b)R=90μm, (c)R=100μm, and (d)R=10μm. The small sphere results are characterized by spectral selectivity and a significantly enhanced intensity. These characteristics are attributed to surface mode excitation. The spectral location of the peaks shift with radius, due to radial dependence of the surface wave dispersion relation.



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