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- R. C. McPhedran, L. C. Botten, Jock McOrist, A. Asatryan, C M de Sterke, N. A. Nicorovici
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2004

We discuss density of states functions for photonic crystals, in the context of the two-dimensional problem for arrays of cylinders of arbitrary cross section. We introduce the mutual density ofâ€¦ (More)

The two-dimensional Green tensor for two-dimensional photonic crystals, consisting of clusters of circular cylinders of infinite length, is constructed using the exact theory of multipole expansions.â€¦ (More)

- L. C. Botten, N. A. Nicorovici, Ross C. McPhedran, C. Martijn de Sterke, A. Asatryan
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

We consider band structure calculations of two-dimensional photonic crystals treated as stacks of one-dimensional gratings. The gratings are characterized by their plane wave scattering matrices, theâ€¦ (More)

- A. Asatryan, Kurt Busch, Ross C. McPhedran, L. C. Botten, C M de Sterke, N. A. Nicorovici
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

Using the exact theory of multipole expansions, we construct the two-dimensional Green's function for photonic crystals, consisting of a finite number of circular cylinders of infinite length. Fromâ€¦ (More)

- L. C. Botten, Thomas P. White, A. Asatryan, T. N. Langtry, C M de Sterke, Ross C. McPhedran
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2004

We present a rigorous Bloch mode scattering matrix method for modeling two-dimensional photonic crystal structures and discuss the formal properties of the formulation. Reciprocity and energyâ€¦ (More)

- L. C. Botten, N. A. Nicorovici, A. Asatryan, Ross C. McPhedran, C M de Sterke, Peter A. Robinson
- Journal of the Optical Society of America. Aâ€¦
- 2000

We present a formulation for wave propagation and scattering through stacked gratings comprising metallic and dielectric cylinders. By modeling a photonic crystal as a grating stack of this type, weâ€¦ (More)

- C. Martijn de Sterke, Lindsay C. Botten, A. Asatryan, Thomas P. White, Ross C. McPhedran
- Optics letters
- 2004

We consider the modes of coupled photonic crystal waveguides. We find that the fundamental modes of these structures can be either even or odd, in contrast with the behavior in coupled conventionalâ€¦ (More)

- L. C. Botten, N. A. Nicorovici, A. Asatryan, Ross C. McPhedran, C M de Sterke, Peter A. Robinson
- Journal of the Optical Society of America. Aâ€¦
- 2000

A numerical implementation and generalized conservation properties of a formulation for calculating wave propagation through stacked gratings comprising metallic and dielectric cylinders areâ€¦ (More)

- T. N. Langtry, A. Asatryan, L. C. Botten, C M de Sterke, Ross C. McPhedran, Peter A. Robinson
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2003

The effects of randomness on the guiding properties of waveguides embedded in disordered two-dimensional photonic crystals composed of a finite cluster of circular cylinders of infinite length areâ€¦ (More)

- L. C. Botten, A. Asatryan, T. N. Langtry, Thomas P. White, C. Martijn de Sterke, Ross C. McPhedran
- Optics letters
- 2003

We present a semianalytic theory for the properties of two-dimensional photonic crystal waveguides of finite length. For single-mode guides, the transmission spectrum and field intensity can beâ€¦ (More)