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Model of light collimation by photonic crystal surface modes

2006/12/31 by Wojciech Śmigaj, Wojciech Smigaj
Engineering · Materials Science · Physics and Astronomy · #Optical Coatings and Gratings #Photonic Crystals and Applications #Photonic and Optical Devices #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physrevb.75.205430

published as Phys. Rev. B 75, 205430 (2007) · 6 pages, 7 figures. Version 2: corrected sign of k_x' (sections 4-6, fig. 2), minor clarifications in section 2. Version 3: significant changes, including reformulation of the model using the theory of aperture antennas, as well as extended discussion of the accuracy of the model

arxiv created 2007/04/05 · openalex publication_date 2007/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a quantitative model explaining the mechanism of light collimation by leaky surface modes that propagate on a corrugated surface around the output of a photonic crystal waveguide. The dispersion relation of these modes is determined for a number of surface terminations. Analytical results obtained on the basis of the model are compared to those of rigorous numerical simulations. Maximum collimation is shown to occur at frequency values corresponding to excitation of surface modes whose wave number retains a nonzero real part.

Citations