The energy spectrum of electromagnetic normal modes in dissipative media: Modes between two metal half spaces

Sernelius, Bo E.Linköpings universitet,Teoretisk Fysik,Tekniska högskolan (författare)

Original publication: B.E. Sernelius, The energy spectrum of electromagnetic normal modes in dissipative media: Modes between two metal half spaces, 2008, Journal of Physics A: Mathematical and Theoretical, (41), 16, 164016. http://dx.doi.org/10.1088/1751-8113/41/16/164016. Copyright: Institute of Physics and IOP Publishing Limited, http://www.iop.org/
The energy spectrum of electromagnetic normal modes plays a central role in the theory of the van der Waals and Casimir interaction. Here we study the modes in connection with the van der Waals interaction between two metal half spaces. Neglecting dissipation leads to distinct normal modes with real-valued frequencies. Including dissipation seems to have the effect that these distinct modes move away from the real axis into the complex frequency plane. The summation of the zero-point energies of these modes render a complex-valued result. Using the contour integration, resulting from the use of the generalized argument principle, gives a real-valued and different result. We resolve this contradiction and show that the spectrum of true normal modes forms a continuum with real frequencies.

Ingår i:Journal of Physics A: Institutionen för fysik, kemi och biologi41:16, s. 164016-0305-44701361-6447
Ingår i:Journal of Physics A: Mathematical and Theoretical: Institutionen för fysik, kemi och biologi41:16, s. 164016-1751-81131751-8121

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