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Extended plane-wave-based transfer-matrix approach to simulating dispersive photonic crystals
KTH, School of Biotechnology (BIO), Theoretical Chemistry.
KTH, School of Biotechnology (BIO), Theoretical Chemistry.ORCID iD: 0000-0002-2442-1809
National Laboratory for Infrared Physics, Shanghai Institute of Technical Physics, Chinese Academy of Science.
National Laboratory for Infrared Physics, Shanghai Institute of Technical Physics, Chinese Academy of Science.
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2006 (English)In: Solid State Communications, ISSN 0038-1098, E-ISSN 1879-2766, Vol. 139, no 7, 328-333 p.Article in journal (Refereed) Published
Abstract [en]

It has been difficult to compute the band structures and transmission spectra for photonic crystals (PCs) with dispersive components included in the periodic units. Here we show that by using an extended plane-wave-based transfer-matrix method, we are able to formulate the problem for computing optical properties of dispersive PCs, including magnetic and left-handed PCs. This approach is very general, since it can treat PCs with arbitrary Bravais lattice composed of materials with arbitrary dielectric permittivities and magnetic permeabilities. Combined with the supercell method, this method can further simulate defective PCs such as PC-based waveguides and microcavities.

Place, publisher, year, edition, pages
2006. Vol. 139, no 7, 328-333 p.
Keyword [en]
photonic crystals, electromagnetic, permeability, physics; Computer simulation; Dielectric properties; Dispersion (waves); Magnetic devices; Magnetic permeability; Optical properties; Spectrum analysis; Waveguides; Bravais lattice; Electromagnetic; Photonic crystals; Plane-wave-based transfer-matrix method
National Category
Theoretical Chemistry
Identifiers
URN: urn:nbn:se:kth:diva-15990DOI: 10.1016/j.ssc.2006.06.036ISI: 000240540200002Scopus ID: 2-s2.0-33746256121OAI: oai:DiVA.org:kth-15990DiVA: diva2:334032
Note
QC 20100825Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved
In thesis
1. Optical properties of active photonic materials
Open this publication in new window or tab >>Optical properties of active photonic materials
2007 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

Because of the generation of polaritons, which are quasiparticles possessing the characteristics of both photonics and electronics, active photonic materials offer a possible solution to transfer electromagnetic energy below the diffraction limit and further increase the density of photonic integrated circuits. A theoretical investigation of these exciting materials is, therefore, very important for practical applications.

Four different kinds of polaritons have been studied in this thesis, (1) surface polaritons of negative-index-material cylindric rods, (2) exciton polaritons of semiconductor quantum dots, (3) localized plasmon polaritons of metallic nanoshells, and (4) surface plasmon polaritons of subwavelength hole arrays in thin metal films. All these types of polaritons were found to strongly affect the optical properties of the studied active photonic materials. More specifically, (1) for two-dimensional photonic crystals composed of negative-index-material cylindric rods, the coupling among surface polaritons localized in the rods results in dispersionless anti-crossing bands; (2) for three-dimensional diamond-lattice quantum-dot photonic crystals, the exciton polariton resonances lead to the formation of complete band gaps in the dispersion relationships; (3) for metallic nanoshells, the thickness of the metal shell strongly modifies the localized plasmon polaritons, and therefore influences the degree of localization of the electromagnetic field inside the metallic nanoshells; (4) for subwavelength hole arrays in thin metal films, high-order surface-polariton Bloch waves contribute significantly to the efficient transmission.

To numerically simulate these active photonic materials, we introduced three approaches, (1) an extended plane-wave-based transfer-matrix approach for negative- index-material media, (2) a plane-wave method for semiconductor quantum-dot photonic crystals, and (3) an auxiliary-differential-equation finite-difference time- domain approach for semiconductor quantum-dot arrays. A brief perspective is also given at the end of this thesis.

Place, publisher, year, edition, pages
Stockholm: KTH, 2007. 78 p.
Keyword
nanophotonics, plasmonics
National Category
Theoretical Chemistry
Identifiers
urn:nbn:se:kth:diva-4497 (URN)978-91-7178-763-7 (ISBN)
Public defence
2007-10-15, FA32, Main Building, AlbaNova, AlbaNova, 14:00
Opponent
Supervisors
Note
QC 20100825Available from: 2007-09-25 Created: 2007-09-25 Last updated: 2010-08-25Bibliographically approved

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