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SYPC: Photonic Crystals

SYPC 1: Symposium “Photonic Crystals” I

SYPC 1.3: Hauptvortrag

Mittwoch, 15. März 2006, 15:00–15:30, HV

The Wannier function approach to Photonic Crystal circuits — •Kurt Busch — Institut für Theoretische Festkörperphysik, Universität Karlsruhe, 76128 Karlsruhe, Germany

The past years have seen a tremendous increase in the development of Photonic Crystal based functional elements with applications ranging from telecommunication devices, and sensing all the way to fundamental investigations of nonlinear wave propagation and light-matter interaction in these systems. Further progress will simultaneously be driven by perfecting existing and developing novel material synthesis processes as well as by developing optimized device designs and novel operation principles.

In this talk, I will review recent advances in the in the theoretical modeling of Photonic Crystal circuits via the photonic Wannier functions approach [1]. Wannier functions represent a complete set of localized basis functions that are optimally adapted to the description of waveguiding structures embedded in Photonic Crystals. In fact, photonic Wannier functions are the optical analogue of atomic orbitals for Photonic Crystals. Consequently, as compared to traditional modeling methods, the Wannier function approach offers both significant advantages regarding the use of computational resources [2,3] as well as considerable physical insight into waveguiding phenomena in Photonic Crystals [2,4].

[1] K. Busch, S.F. Mingaleev, A. Garcia-Martin, M. Schillinger, and D. Hermann, J. Phys.: Cond. Mat. 15, R1233 (2003).

[2] S.F. Mingaleev and K. Busch, Optics Letters 28, 619 (2003).

[3] Y. Jiao, S.F. Mingaleev, M. Schillinger, D.A.B. Miller, S. Fan, and K. Busch, IEEE Photonics Technology Letters 17, 1875 (2005).

[4] S.F. Mingaleev, M. Schillinger, D. Hermann, and K. Busch, Optics Letters 29, 2858 (2004).