By Ralf B. Wehrspohn, Heinz-Siegfried Kitzerow, Kurt Busch
Encouraged via the pioneering paintings of Sajeev John and Eli Yablonovitsch, German examine teams all started with theoretical and experimental paintings on second and 3D photonics crystals within the early Nineties. This preliminary paintings was once the foundation for a examine undertaking focussing on photonic crystals and funded by means of the German technological know-how origin (DFG) in 1999. over the past seven years, a consortium inclusive of greater than 20 German examine teams targeting photonics crystals learn. Nanophotonic fabrics - Photonic Crystals, Plasmonics, and Metameterials summarizes the paintings and study result of those groups.
Research all started with linear, non-dispersive houses of in simple terms dielectric 2nd and 3D photonic crystals and stepped forward to non-linear and dispersive homes of dielectric photonic crystals together with achieve and / or losses. those homes the place studied on assorted fabrics platforms equivalent to silicon, III-V-compound semiconductors, oxides and polymers, in addition to hybrid structures such as dielectric photonic crystals and liquid crystals. functions of those platforms have been built within the quarter of lively photonic crystal fibres, sensible optical parts, and sensors. a few of these have by means of now even entered into commercial functions.
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Extra resources for Nanophotonic Materials: Photonic Crystals, Plasmonics, and Metamaterials
And John, S. (1994). Phys. Rev. A 50, 1764. 9 Vats, N. John, S. and Busch, K. (2002). Phys. Rev. A, 65, 043808. M. V. (1963). Calculus of Variations, Prentice-Hall, Englewood Cliffs, NJ. A. (2002)in Progress in Optics Vol. 43 (ed. E. Wolf,), Elsevier Science, Amsterdam, p. 71. L. F. (1995) Phys. Rev. E, 51, 1484. M. R. D. (1991) J. Opt. Soc. Am. B, 8, 403. 14 Tkeshelashvili, L. Pereira, S. and Busch, K. (2004) Europhys. , 68, 205. 15 Tkeshelashvili, L. et al. (2006) Photon. : Fundam. , 4, 75. j13 j15 2 Microscopic Analysis of the Optical and Electronic Properties of Semiconductor Photonic-Crystal Structures Bernhard Pasenow, Matthias Reichelt, Tineke Stroucken, Torsten Meier, and Stephan W.
7), where ni (r) is the unit vector normal to the surface at r. 0þ ej jrg Àr00 j3 qDij ð2:8Þ with rg ¼ r À gni (r) [32,34]. To obtain Dn, Eq. 8) can be solved by matrix inversion on a grid in real space. Inserting this solution into Eq. 7) allows one to determine the generalized Coulomb potential VC in the regions of interest. 2 Hamiltonian Describing the Material Dynamics ^ which governs the optical and electronic properties of semiThe Hamiltonian H conductors and semiconductor nanostructures consists of three additive terms.
5, where we also provide a perspective on improved treatments of losses within the NLCME. 2 Variational Approach to the NLCME The variational approach to the NLCME is based on the Lagrangian density of the system in non-dimensional form j5 j 1 Solitary Wave Formation in One-dimensional Photonic Crystals 6 L¼ i * q q q q Eþ þ Eþ À Eþ þ Eþ* 2 qt qz qt qz ! q q q q þ EÀ* À EÀ À EÀ À E* qt qz qt qz À 1 1 þ jEþ j4 þ jEÀ j4 þ 2jEþ j2 jEÀ j2 þ Eþ* EÀ þ Eþ EÀ* : 2 2 ð1:7Þ The action corresponding to this Lagrangian density is invariant under temporal and spatial translations as well as under phase transformations.