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Dipole emission in finite photonic bandgap structures: an exactly solvable one-dimensional model

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1 Author(s)
Dowling, Jonathan P. ; Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA

This paper considers an exact model of atomic spontaneous dipole emission and classical dipole radiation in a finite photonic bandgap (PBG) structure. The full three-dimensional (3-D) or two-dimensional (2-D) problem is reduced to a finite one-dimensional (1-D) model, which then is solved for analytically using algebraic matrix transfer techniques. The results give insight to the electromagnetic emission process in periodic dielectrics, quantitative predictions for emission in 1-D dielectric stacks, and qualitative formulas for the 2-D and 3-D problem.

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Lightwave Technology, Journal of  (Volume:17 ,  Issue: 11 )