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

@article{Dowling1999DipoleEI, title={Dipole emission in finite photonic bandgap structures: an exactly solvable one-dimensional model}, author={Jonathan P. Dowling}, journal={Journal of Lightwave Technology}, year={1999}, volume={17}, pages={2142-2151} }

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… Expand

#### 23 Citations

Second quantization and atomic spontaneous emission inside one-dimensional photonic crystals via a quasinormal-modes approach.

- Physics, Medicine
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- 2004

An extension of the second quantization scheme based on the quasinormal-modes theory to one-dimensional photonic band gap (PBG) structures is discussed and the Feynman's propagator is introduced to calculate the decay rate of a dipole inside a PBG structure, related to the density of modes, in the presence of the vacuum fluctuations outside the one- dimensional cavity. Expand

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- 2005

The spontaneous emission of an atom embedded in a one-dimensional photonic crystal or superlattice using a classical electrodynamic theory of radiation is studied and it is found that the rate of emission presents a strong dependence on the atom's position. Expand

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Abstract We show that the general dispersion relation of a finite-length, one-dimensional, periodic photonic band-gap structure can be extended, by using the approach of the effective index of… Expand

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- Materials Science, Engineering
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- 2011

We are exploring the degree to which one can control the spectral emission of heated photonic crystals (or, more generally, electromagnetic crystal) structures in the THz frequency range. Because THz… Expand

Wave interactions in photonic band structures: an overviewPresented at the 2005 Erice Summer School on Nanophotonics.

- Physics
- 2006

An overview of the most relevant properties of photonic crystals is presented considering 1D, 2D and 3D structures. The emphasis is on nonlinear properties both of the second and third order.… Expand

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- IEEE Journal of Quantum Electronics
- 2011

By means of source terms and coupled-mode theory, the essential features of spontaneous emission in multimode waveguides with counterdirectional feedback, such as corrugated and photonic crystal… Expand

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- 2014

We calculated the photonic density of states (PDS) of the eigen polarizations in the system composed of a stack of layers of a cholesteric liquid crystal and an isotropic medium. The reflection… Expand

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- Materials Science
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We considered some properties of defect modes in chiral photonic crystals with an anisotropic defect layer at oblique light incidence. The problem was solved by Ambartsumian's layer addition method.… Expand

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