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Electromagnetic response of a dipole-coupled ellipsoidal bilayer

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Title Electromagnetic response of a dipole-coupled ellipsoidal bilayer
 
Creator AMBJORNSSON, TOBIAS
APELL, SP
MUKHOPADHYAY, GAUTAM
 
Subject electromagnetic
approximation theory
numerical analysis
constraint theory
 
Description We derive an expression for the polarizability of an ellipsoidally shaped cell-like structure at field frequencies where membrane molecular resonances ~vibrational and electronic! are important. We first present analytical results for the dielectric function of a flat, dipole coupled, bilayer consisting of molecules with one prominent resonance frequency. Due to the nature of the dipole coupling the dielectric function is different for the field being parallel or perpendicular to the bilayer normal with two new resonance frequencies v5v ˜ 0i and v5v ˜ 0' . We then combine this anisotropic bilayer dielectric function with the analytical solution of Gauss equation for an ellipsoid with an anisotropic coating ~the coating dielectric function being different parallel and perpendicular to the coating normal! in order to find the polarizability of an ellipsoidal bilayer membrane. In
particular, we find that for a thin-walled ~compared to the size of the cell! membrane the resonance frequencies of the polarizability are the same as for a flat bilayer ~independent of the cell shape!. However, our analytic result for the geometric weights for the oscillator strengths is sensitive to the shape; the geometric weight for the v5v ˜ 0' (v5v ˜ 0i) peak is largest when the external field is along the largest ~smallest! axis. The geometric weights are shown to be constrained by three sum rules.
©2006 The American Physical Society. This paper was selected for the April 1, 2004 issue of Virtual Journal of Biological Physics Research, available at http://www.vjbio.org .
 
Publisher AIP
 
Date 2007-11-24T19:06:53Z
2011-11-25T12:18:59Z
2011-12-26T13:04:43Z
2011-12-27T05:50:43Z
2007-11-24T19:06:53Z
2011-11-25T12:18:59Z
2011-12-26T13:04:43Z
2011-12-27T05:50:43Z
2004
 
Type Article
 
Identifier Physical Review E 69 (3) 031914
http://dx.doi.org/10.1103/PhysRevE.69.031914
http://hdl.handle.net/10054/55
http://dspace.library.iitb.ac.in/xmlui/handle/10054/55
 
Language en_US