We study the spectral and scattering theory of light transmission in a system consisting of two asymptotically periodic waveguides, also known as one-dimensional photonic crystals, coupled by a junction. Using analyticity techniques and commutator methods in a two-Hilbert spaces setting, we determine the nature of the spectrum and prove the existence and completeness of the wave operators of the system
A theoretical investigation of one-dimensional planar photonic crystal waveguides is carried out. Th...
We investigate the modes of coupled waveguides in a hexagonal photonic crystal. We find that for a s...
We present a formalism for studying the radiation-matter interaction in multilayered dielectric stru...
We study the spectral and scattering theory of light transmission in a system consisting of two asym...
In this article we introduce a mathematical model to describe light propagation in a mono-dimensiona...
Abstract. We present a review on the mathematical methods used to theoretically study classical prop...
Photonic crystals, frequency-selective surfaces, gratings, and many so-called metamaterials are comp...
A semiclassical coupled-wave theory is developed for TE waves in one-dimensional periodic structures...
Light transport in periodic waveguides coupled to two-level atoms is investigated theoretically. By ...
We compare coupling between parallel waveguides within one-dimensional photonic crystals and couplin...
The scattering matrix is a fundamental tool to quantitatively describe the properties of resonant sy...
In this chapter, we present a review of optical systems that have a periodic variation in their inde...
Starting from Maxwell's equations we derive a reciprocity theorem for photonic crystal waveguides. A...
Abstract. We study the propagation of non-classical light through arrays of coupled linear photonic ...
A method for realizing asymmetric (one-way) transmission of discretized light in modulated, linear, ...
A theoretical investigation of one-dimensional planar photonic crystal waveguides is carried out. Th...
We investigate the modes of coupled waveguides in a hexagonal photonic crystal. We find that for a s...
We present a formalism for studying the radiation-matter interaction in multilayered dielectric stru...
We study the spectral and scattering theory of light transmission in a system consisting of two asym...
In this article we introduce a mathematical model to describe light propagation in a mono-dimensiona...
Abstract. We present a review on the mathematical methods used to theoretically study classical prop...
Photonic crystals, frequency-selective surfaces, gratings, and many so-called metamaterials are comp...
A semiclassical coupled-wave theory is developed for TE waves in one-dimensional periodic structures...
Light transport in periodic waveguides coupled to two-level atoms is investigated theoretically. By ...
We compare coupling between parallel waveguides within one-dimensional photonic crystals and couplin...
The scattering matrix is a fundamental tool to quantitatively describe the properties of resonant sy...
In this chapter, we present a review of optical systems that have a periodic variation in their inde...
Starting from Maxwell's equations we derive a reciprocity theorem for photonic crystal waveguides. A...
Abstract. We study the propagation of non-classical light through arrays of coupled linear photonic ...
A method for realizing asymmetric (one-way) transmission of discretized light in modulated, linear, ...
A theoretical investigation of one-dimensional planar photonic crystal waveguides is carried out. Th...
We investigate the modes of coupled waveguides in a hexagonal photonic crystal. We find that for a s...
We present a formalism for studying the radiation-matter interaction in multilayered dielectric stru...
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