Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-01-07
Phys.Rev.B58:1872-1886,1998
Physics
High Energy Physics
High Energy Physics - Theory
32 pages, TeX with harvmac macros, three postscript figures
Scientific paper
10.1103/PhysRevB.58.1872
We examine harmonic oscillator defects coupled to a photon field in the environs of an optical fiber. Using techniques borrowed or extended from the theory of two dimensional quantum fields with boundaries and defects, we are able to compute exactly a number of interesting quantities. We calculate the scattering S-matrices (i.e. the reflection and transmission amplitudes) of the photons off a single defect. We determine using techniques derived from thermodynamic Bethe ansatz (TBA) the thermodynamic potentials of the interacting photon-defect system. And we compute several correlators of physical interest. We find the photon occupancy at finite temperature, the spontaneous emission spectrum from the decay of an excited state, and the correlation functions of the defect degrees of freedom. In an extension of the single defect theory, we find the photonic band structure that arises from a periodic array of harmonic oscillators. In another extension, we examine a continuous array of defects and exactly derive its dispersion relation. With some differences, the spectrum is similar to that found for EM wave propagation in covalent crystals. We then add to this continuum theory isolated defects, so as to obtain a more realistic model of defects embedded in a frequency dependent dielectric medium. We do this both with a single isolated defect and with an array of isolated defects, and so compute how the S-matrices and the band structure change in a dynamic medium.
Konik Robert
LeClair Andre
No associations
LandOfFree
The Scattering Theory of Oscillator Defects in an Optical Fiber does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Scattering Theory of Oscillator Defects in an Optical Fiber, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Scattering Theory of Oscillator Defects in an Optical Fiber will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-388075