# Mode expansions in the quantum electrodynamics of photonic media with disorder

@article{Wubs2012ModeEI, title={Mode expansions in the quantum electrodynamics of photonic media with disorder}, author={Martijn Wubs and Niels Asger Mortensen}, journal={Photonics and Nanostructures: Fundamentals and Applications}, year={2012}, volume={10}, pages={296-303} }

## One Citation

The Effects of Multi-exciton Interactions on Optical Cavity Emission

- Physics, Education
- 2012

Thesis (Master, Physics, Engineering Physics and Astronomy) -- Queen's University, 2012-07-30 14:51:15.914

## References

SHOWING 1-10 OF 66 REFERENCES

Effects of disorder on wave propagation in two-dimensional photonic crystals.

- PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 1999

The electromagnetic transmittance of disordered two-dimensional photonic crystals composed of circular cylinders is investigated as a function of wavelength and polarization and Anderson localization of waves is found in the long-wavelength limit.

Electromagnetic modes of a disordered photonic crystal

- Physics
- 2011

We present a systematic numerical approach to compute the eigenmodes and the related eigenfrequencies of a disordered photonic crystal, characterized by small fluctuations of the otherwise periodic…

Disordered photonic crystals understood by a perturbation formalism

- Physics
- 2000

Photonic band gaps in disordered two-dimensional photonic crystals are investigated for two typical types of randomness: cylinder site displacements (site randomness) and cylinder radius variations…

Multipole interaction between atoms and their photonic environment

- Physics
- 2003

Macroscopic field quantization is presented for a nondispersive photonic dielectric environment, both in the absence and presence of guest atoms. Starting with a minimal-coupling Lagrangian, a…

Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2002

It is shown how one can thereby compute semianalytical reflection and transmission through crystal tapers of almost any length, using only a single pair of modes in the unit cells of uniform gratings, which becomes more accurate as the taper becomes more gradual, with no significant increase in the computation time or memory.

Theoretical and computational concepts for periodic optical waveguides.

- PhysicsOptics express
- 2007

The general formalism, which rigorously takes into account radiation losses resulting from the excitation of radiation Bloch modes, is implemented with a Fourier numerical approach and basic examples of light scattering like reflection, transmission and emission in periodic-waveguides are accurately resolved.

Photonic-crystal slabs with a triangular lattice of triangular holes investigated using a guided-mode expansion method

- Physics
- 2006

According to a recent proposal S. Takayama et al., Appl. Phys. Lett. 87, 061107 2005, the triangular lattice of triangular air holes may allow us to achieve a complete photonic band gap in…

Three-dimensional theory for light-matter interaction

- Physics
- 2008

We present a full quantum mechanical three dimensional theory describing an electromagnetic field interacting with an ensemble of identical atoms. The theory is constructed such that it describes…

Disorder-induced losses in photonic crystal waveguides with line defects.

- PhysicsOptics letters
- 2004

A numerical analysis of extrinsic diffraction losses in two-dimensional photonic crystal slabs with line defects is reported, and the calculated loss values of guided modes below the light line compare favorably with available experimental results.

Local optical density of states in finite crystals of plane scatterers.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2002

In this work, the scalar formalism of multiple-scattering theory is used to find an exact analytical expression for the Green function of a dielectric mirror of arbitrary number of unit cells N and all the propagating and guided modes of the structure are found.