%0 Journal Article
%A Ravi S Prasher
%B Appl. Phys. Lett.
%D 2003
%G eng
%I American Institute of Physics
%P 48–50
%R 10.1063/1.1590421
%T Generalized equation of phonon radiative transport
%V 83
%8 06/2003
%X <p><span>We write the&nbsp;</span>equation<span>&nbsp;of&nbsp;</span>phonon<span>&nbsp;radiative&nbsp;</span>transport<span>&nbsp;(EPRT) and the&nbsp;</span>Boltzmann transport equation<span>&nbsp;by including an in-scattering term under a&nbsp;</span>relaxation time<span>&nbsp;approximation. The in-scattering term contains a phase function that is exactly analogous to the phase function in the&nbsp;</span>equation<span>&nbsp;of radiative&nbsp;</span>transport<span>&nbsp;(ERT), thereby making EPRT exactly same as ERT. This formulation of EPRT is called the generalized EPRT (GEPRT). GEPRT is totally consistent with EPRT and&nbsp;</span>transport<span>&nbsp;</span>theory;<span>&nbsp;however, GEPRT shows that the mean free path due to&nbsp;</span>particle scattering<span>&nbsp;depends on the acoustic thickness of the medium if&nbsp;</span>scattering<span>&nbsp;is&nbsp;</span>anisotropic<span>&nbsp;and asymmetrical for heat flow in the thickness direction of the medium, irrespective of the&nbsp;</span>boundary condition.<span>&nbsp;GEPRT can be solved using the techniques used for solving ERT.</span></p>