%0 Book Section %1 statphys23_0951 %A D'andrea, A. %A Pilozzi, L. %A Schiumarini, D. %A Tomassini, N. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K cavity dbr fractals rabi splitting statphys23 topic-8 %T Fractal structures in a 3/2 ? DBR planar cavity: light localization and Rabi splitting enhancement %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=951 %X Polaritons in a distributed Bragg reflector (DBR) with a 3/2 ? cavity, where a quantum well (QW) and a fractal structure (FS) are located at the antinodes of the electromagnetic field, are described with different interacting oscillators, namely: cavity mode, fractal structure resonances, leaky (or guided) modes of the Bragg reflectors, and inter-band Wannier exciton of the QW. Optical response and dispersion curves of the system, are computed in a semiclassical framework by solving self-consistently Schreodinger and Maxwell equations. Our simulations are carried out for different orders of the fractal structure, with two different approaches: i) the standard multilayer approach, and ii) the cavity polariton Green function method. Localization or confinement of optical waves is discussed with respect to the specific structure of periodic and fractal geometries, which can enhance the interference, scattering, and resonance of electromagnetic waves. In one of the present authors previous papers, a large vacuum Rabi energy enhancement of cavity polariton was hypothesized when the lateral periodic structure allows to achieve both the cavity field enhancement and the grating resonant coupling. In the present paper we study the role of fractal geometries, with respect to the periodic structure, in this interesting effect, underlying the competition between the lateral and normal to the cavity confinement of the electromagnetic field. We compute the dispersion curves of cavity polaritons and compare them with the optical response of the system in order to point out the main mechanism responsible of the building up of large vacuum Rabi splitting enhancement.

@incollection{statphys23_0951, abstract = {Polaritons in a distributed Bragg reflector (DBR) with a 3/2 ? cavity, where a quantum well (QW) and a fractal structure (FS) are located at the antinodes of the electromagnetic field, are described with different interacting oscillators, namely: cavity mode, fractal structure resonances, leaky (or guided) modes of the Bragg reflectors, and inter-band Wannier exciton of the QW. Optical response and dispersion curves of the system, are computed in a semiclassical framework by solving self-consistently Schreodinger and Maxwell equations. Our simulations are carried out for different orders of the fractal structure, with two different approaches: i) the standard multilayer approach, and ii) the cavity polariton Green function method. Localization or confinement of optical waves is discussed with respect to the specific structure of periodic and fractal geometries, which can enhance the interference, scattering, and resonance of electromagnetic waves. In one of the present authors previous papers, a large vacuum Rabi energy enhancement of cavity polariton was hypothesized when the lateral periodic structure allows to achieve both the cavity field enhancement and the grating resonant coupling. In the present paper we study the role of fractal geometries, with respect to the periodic structure, in this interesting effect, underlying the competition between the lateral and normal to the cavity confinement of the electromagnetic field. We compute the dispersion curves of cavity polaritons and compare them with the optical response of the system in order to point out the main mechanism responsible of the building up of large vacuum Rabi splitting enhancement.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {D'andrea, A. and Pilozzi, L. and Schiumarini, D. and Tomassini, N.}, biburl = {https://www.bibsonomy.org/bibtex/2ce4ee8009e6fec6ac463c4c1a1cc8f20/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {60ce2df91a0ac3003f0d56e9a818b9fb}, intrahash = {ce4ee8009e6fec6ac463c4c1a1cc8f20}, keywords = {cavity dbr fractals rabi splitting statphys23 topic-8}, month = {9-13 July}, timestamp = {2007-06-20T10:16:35.000+0200}, title = {Fractal structures in a 3/2 ? DBR planar cavity: light localization and Rabi splitting enhancement}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=951}, year = 2007 }