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Scattering matrix approach to the resonant states and Q values of microdisk lasing cavities
Linköpings universitet, Institutionen för teknik och naturvetenskap. Linköpings universitet, Tekniska högskolan.
Linköpings universitet, Institutionen för teknik och naturvetenskap. Linköpings universitet, Tekniska högskolan.
2004 (Engelska)Ingår i: Applied Optics, ISSN 0003-6935, Vol. 43, nr 8, s. 1761-1772Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

We develop a scattering matrix approach for the numerical calculation of resonant states and Q values of a nonideal optical disk cavity with an arbitrary shape and with an arbitrary varying refraction index. The developed method is applied to study the effect of surface roughness and inhomogeneity of the refraction index on Q values of microdisk cavities for lasing applications. We demonstrate that even small surface roughness (Δr ≲ λ/50) can lead to a drastic degradation of high-Q cavity modes by many orders of magnitude. The results of the numerical simulation are analyzed and explained in terms of wave reflection at a curved dielectric interface, combined with an examination of Poincaré surfaces of section and of Husimi distributions.

Ort, förlag, år, upplaga, sidor
2004. Vol. 43, nr 8, s. 1761-1772
Nationell ämneskategori
Teknik och teknologier
Identifikatorer
URN: urn:nbn:se:liu:diva-14616DOI: 10.1364/AO.43.001761OAI: oai:DiVA.org:liu-14616DiVA, id: diva2:24017
Tillgänglig från: 2007-08-30 Skapad: 2007-08-30 Senast uppdaterad: 2009-05-29
Ingår i avhandling
1. Theoretical studies of microcavities and photonic crystals for lasing and waveguiding applications
Öppna denna publikation i ny flik eller fönster >>Theoretical studies of microcavities and photonic crystals for lasing and waveguiding applications
2006 (Engelska)Licentiatavhandling, sammanläggning (Övrigt vetenskapligt)
Abstract [en]

This Licentiate presents the main results of theoretical study of light propagation in photonic structures, namely lasing disk microcavities and photonic crystals. In the first two papers (Paper I and Paper II) we present the developed novel scattering matrix technique dedicated to calculation of resonant states in 2D disk microcavities with the imperfect surface or/and inhomogeneous refractive index. The results demonstrate that the imperfect surface of a cavity has the strongest impact on the quality factor of lasing modes.

The generalization of the scattering-matrix technique to the quantum-mecha- nical case has been made in Paper III. That generalization has allowed us to treat a realistic potential of quantum-corrals (which can be considered as nanoscale analogues of optical cavities) and to obtain a good agreement with experimental observations.

Papers IV and V address the novel effective Green's function technique for studying propagation of light in photonic crystals. Using this technique we have analyzed characteristics of surface modes and proposed several novel surface-state-based devices for lasing/sensing, waveguiding and light feeding applications.

Ort, förlag, år, upplaga, sidor
Institutionen för teknik och naturvetenskap, 2006. s. 43
Serie
Linköping Studies in Science and Technology. Thesis, ISSN 0280-7971 ; 1224
Nyckelord
photonic crystals, microcavities, microlasers, scattering matrix, Green's function
Nationell ämneskategori
Telekommunikation
Identifikatorer
urn:nbn:se:liu:diva-7482 (URN)91-85457-99-X (ISBN)
Presentation
2006-01-20, K3, Kåkenhus, Campus Norrköping, Norrköping, 13:15 (Engelska)
Opponent
Handledare
Anmärkning
Report code: LIU-TEK-LIC 2006:5Tillgänglig från: 2006-10-03 Skapad: 2006-10-03 Senast uppdaterad: 2009-03-09
2. Theoretical studies of light propagation in photonic and plasmonic devices
Öppna denna publikation i ny flik eller fönster >>Theoretical studies of light propagation in photonic and plasmonic devices
2007 (Engelska)Doktorsavhandling, sammanläggning (Övrigt vetenskapligt)
Abstract [en]

Photonics nowadays is one of the most rapidly developing areas of modern physics. Photonic chips are considered to be promising candidates for a new generation of high-performance systems for informational technology, as the photonic devices provide much higher information capacity in comparison to conventional electronics. They also offer the possibility of integration with electronic components to provide increased functionality. Photonics has also found numerous applications in various fields including signal processing, computing, sensing, printing, and others.

Photonics, which traditionally covers lasing cavities, waveguides, and photonic crystals, is now expanding to new research directions such as plasmonics and nanophotonics. Plasmonic structures, namely nanoparticles, metallic and dielectric waveguides and gratings, possess unprecedented potential to guide and manipulate light at nanoscale.

This Thesis presents the results of theoretical studies of light propagation in photonic and plasmonic structures, namely lasing disk microcavities, photonic crystals, metallic gratings and nanoparticle arrays. A special emphasis has been made on development of high-performance techniques for studies of photonic devices.

The following papers are included:

In the first two papers (Paper I and Paper II) we developed a novel scattering matrix technique for calculation of resonant states in 2D disk microcavities with the imperfect surface or/and inhomogeneous refraction index. The results demonstrate that the surface imperfections represent the crucial factor determining the $Q$ factor of the cavity.

A generalization of the scattering-matrix technique to the quantum-mecha\-nical electron scattering has been made in Paper III. This has allowed us to treat a realistic potential of quantum-corrals (which can be considered as nanoscale analogues of optical cavities) and has provided a new insight and interpretation of the experimental observations.

Papers IV and V present a novel effective Green's function technique for studying light propagation in photonic crystals. Using this technique we have analyzed surface modes and proposed several novel surface-state-based devices for lasing/sensing, waveguiding and light feeding applications.

In Paper VI the propagation of light in nanorod arrays has been studied. We have demonstrated that the simple Maxwell Garnett effective-medium theory cannot properly describe the coupling and clustering effects of nanorods. We have demonstrated the possibility of using nanorod arrays as high-quality polarizers.

In Paper VII we modeled the plasmon-enhanced absorption in polymeric solar cells. In order to excite a plasmon we utilized a grated aluminum substrate. The increased absorption has been verified experimentally and good agreement with our theoretical data has been achieved.

Ort, förlag, år, upplaga, sidor
Universitetsbibliotek, 2007. s. 68
Serie
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 1115
Nyckelord
microcavities, photonic crystals, plasmonics, nanoparticles, scattering matrix technique, Green's function technique
Nationell ämneskategori
Telekommunikation
Identifikatorer
urn:nbn:se:liu:diva-9585 (URN)978-91-85831-45-6 (ISBN)
Disputation
2007-08-30, K3, Kåkenhus, Campus Norrköping, Linköpings universitet, Norrköping, 00:00 (Engelska)
Opponent
Handledare
Tillgänglig från: 2007-08-30 Skapad: 2007-08-30 Senast uppdaterad: 2009-05-12

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Rahachou, AliaksandrZozoulenko, Igor

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