Short-Wavelength Light Propagation in Graded Photonic Crystals

Short-Wavelength Light Propagation in Graded Photonic Crystals,10.1109/JLT.2011.2151175,IEEE/OSA Journal of Lightwave Technology,Eric Cassan,Khanh-Van

Short-Wavelength Light Propagation in Graded Photonic Crystals   (Citations: 1)
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Control of electromagnetic fields using graded pho- tonic crystals (GPhCs) is explored using equations of Hamiltonian optics. Contrary to previous works devoted to the long-wavelength regime enabling homogenization of photonic metamaterials, at- tention is paid to short-wavelength light propagation for the possible use of dispersive phenomena and light path reconfiguring with wavelength. An analytical description of the dispersion diagram of a square PhCs is extracted using plane wave expansion calculations, making possible the description of arbitrary light paths in 2-D GPhC structures and fast optimization to find the conditions suited to make light follow prescribed paths. The validity of the approach is validated by comparison with finite-dif- ference time-domain simulation. For purpose and illustration, a wavelength demultiplexing structure with four channels and an overall surface of 60 m 60 m is proposed. The described methodology is applicable to the generalized 2-D chirp of PhC lattice orfilling ratio parameters for electromagneticfield shaping. Index Terms—Hamiltonian optics, photonic crystals (PhCs), photonic metamaterials, silicon photonics.
Journal: IEEE/OSA Journal of Lightwave Technology - J LIGHTWAVE TECHNOL , vol. 29, no. 13, pp. 1937-1943, 2011
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