56,292 research outputs found
Surface polaritons on metallic and semiconducting cylinders: A complex angular momentum analysis
We revisit scattering of electromagnetic waves from metallic and
semiconducting cylinders in the framework of complex angular momentum
techniques. We prove that "resonant surface polariton modes" are generated by a
unique surface wave, i.e. a surface polariton, propagating close to the
cylinder surface. This surface polariton corresponds to a particular Regge pole
of the -matrix of the cylinder. From the associated Regge trajectory we can
construct semiclassically the spectrum of the complex frequencies of the
resonant surface polariton modes which can be considered as Breit-Wigner-type
resonances. Furthermore, by taking into account Stokes' phenomenon, we derive
an asymptotic expression for the position in the complex angular momentum plane
of the surface polariton Regge pole. We then describe semiclassically the
surface polariton and provide analytical expressions for its the dispersion
relation and its damping. All these features allow us to consider the
photon-cylinder system as a kind of artificial atom where the photon plays the
role of the electron. Finally, we briefly discuss the implication of our
results for two-dimensional photonic crystals
Scaling Symmetries of Scatterers of Classical Zero-Point Radiation
Classical radiation equilibrium (the blackbody problem) is investigated by
the use of an analogy. Scaling symmetries are noted for systems of classical
charged particles moving in circular orbits in central potentials V(r)=-k/r^n
when the particles are held in uniform circular motion against radiative
collapse by a circularly polarized incident plane wave. Only in the case of a
Coulomb potential n=1 with fixed charge e is there a unique scale-invariant
spectrum of radiation versus frequency (analogous to zero-point radiation)
obtained from the stable scattering arrangement. These results suggest that
non-electromagnetic potentials are not appropriate for discussions of classical
radiation equilibrium.Comment: 13 page
Blackbody Radiation and the Scaling Symmetry of Relativistic Classical Electron Theory with Classical Electromagnetic Zero-Point Radiation
It is pointed out that relativistic classical electron theory with classical
electromagnetic zero-point radiation has a scaling symmetry which is suitable
for understanding the equilibrium behavior of classical thermal radiation at a
spectrum other than the Rayleigh-Jeans spectrum. In relativistic classical
electron theory, the masses of the particles are the only scale-giving
parameters associated with mechanics while the action-angle variables are scale
invariant. The theory thus separates the interaction of the action variables of
matter and radiation from the scale-giving parameters. Classical zero-point
radiation is invariant under scattering by the charged particles of
relativistic classical electron theory. The basic ideas of the matter
-radiation interaction are illustrated in a simple relativistic classical
electromagnetic example.Comment: 18 page
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