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Theoretical studies of microcavities and photonic crystals for lasing and waveguiding applications
Linköping University, Department of Science and Technology. Linköping University, The Institute of Technology.
2006 (English)Licentiate thesis, comprehensive summary (Other academic)
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.

Place, publisher, year, edition, pages
Institutionen för teknik och naturvetenskap , 2006. , 43 p.
Series
Linköping Studies in Science and Technology. Thesis, ISSN 0280-7971 ; 1224
Keyword [en]
photonic crystals, microcavities, microlasers, scattering matrix, Green's function
National Category
Telecommunications
Identifiers
URN: urn:nbn:se:liu:diva-7482ISBN: 91-85457-99-X (print)OAI: oai:DiVA.org:liu-7482DiVA: diva2:22492
Presentation
2006-01-20, K3, Kåkenhus, Campus Norrköping, Norrköping, 13:15 (English)
Opponent
Supervisors
Note
Report code: LIU-TEK-LIC 2006:5Available from: 2006-10-03 Created: 2006-10-03 Last updated: 2009-03-09
List of papers
1. Effects of boundary roughness on a Q factor of whispering-gallery-mode lasing microdisk cavities
Open this publication in new window or tab >>Effects of boundary roughness on a Q factor of whispering-gallery-mode lasing microdisk cavities
2003 (English)In: Journal of applied physics, ISSN 0021-8979, Vol. 94, no 12, 7929-7931 p.Article in journal (Refereed) Published
Abstract [en]

We perform numerical studies of the effect of sidewall imperfections on the resonant state broadening of the optical microdisk cavities for lasing applications. We demonstrate that even small edge roughness (/30) causes a drastic degradation of high-Q whispering gallery (WG)-mode resonances reducing their Q values by many orders of magnitude. At the same time, low-Q WG resonances are rather insensitive to the surface roughness. The results of numerical simulation obtained using the scattering matrix technique, are analyzed and explained in terms of wave reflection at a curved dielectric interface combined with the examination of Poincaré surface of sections in the classical ray picture.

National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-14027 (URN)10.1063/1.1625781 (DOI)
Available from: 2006-10-03 Created: 2006-10-03
2. Scattering matrix approach to the resonant states and Q values of microdisk lasing cavities
Open this publication in new window or tab >>Scattering matrix approach to the resonant states and Q values of microdisk lasing cavities
2004 (English)In: Applied Optics, ISSN 0003-6935, Vol. 43, no 8, 1761-1772 p.Article in journal (Refereed) 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.

National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-14616 (URN)10.1364/AO.43.001761 (DOI)
Available from: 2007-08-30 Created: 2007-08-30 Last updated: 2009-05-29
3. Elastic scattering of surface electron waves in quantum corrals: Importance of the shape of the adatom potential
Open this publication in new window or tab >>Elastic scattering of surface electron waves in quantum corrals: Importance of the shape of the adatom potential
2004 (English)In: Physical Review. B Condensed Matter and Materials Physics, ISSN 1098-0211, Vol. 70, no 23, 233409- p.Article in journal (Refereed) Published
Abstract [en]

We report elastic scattering theory for surface electron waves in quantum corrals defined by adatoms on the surface of noble metals. We develop a scattering-matrix technique that allows us to account for a realistic smooth potential profile of the scattering centers. Our calculations reproduce quantitatively all the experimental observations, which is in contrast to previous theories (treating the adatoms as point scatterers) that require additional inelastic channels of scattering into the bulk in order to achieve the agreement with the experiment. Our findings thus indicate that accounting for a realistic potential as well as using the exact numerical schemes is important in achieving detailed agreement as well as interpretation of the experiment.

National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-14617 (URN)10.1103/PhysRevB.70.233409 (DOI)
Available from: 2007-08-30 Created: 2007-08-30 Last updated: 2009-02-26
4. Light propagation in finite and infinite photonic crystals: The recursive Greens function technique
Open this publication in new window or tab >>Light propagation in finite and infinite photonic crystals: The recursive Greens function technique
2005 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 72, no 15, 155117- p.Article in journal (Refereed) Published
Abstract [en]

We report a computational method based on the recursive Green’s function technique for calculation of light propagation in photonic crystal structures. The advantage of this method in comparison to the conventional finite-difference time domain (FDTD) technique is that it computes Green’s function of the photonic structure recursively by adding slice by slice on the basis of Dyson’s equation. This eliminates the need for storage of the wave function in the whole structure, which obviously strongly relaxes the memory requirements and enhances the computational speed. The second advantage of this method is that it can easily account for the infinite extension of the structure both into air and into the space occupied by the photonic crystal by making use of the so-called “surface Green’s functions.” This eliminates the spurious solutions (often present in the conventional FDTD methods) related to, e.g., waves reflected from the boundaries defining the computational domain. The developed method has been applied to study scattering and propagation of the electromagnetic waves in the photonic band-gap structures including cavities and waveguides. Particular attention has been paid to surface modes residing on a termination of a semi-infinite photonic crystal. We demonstrate that coupling of the surface states with incoming radiation may result in enhanced intensity of an electromagnetic field on the surface and very high Q factor of the surface state. This effect can be employed as an operational principle for surface-mode lasers and sensors.

National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-14030 (URN)10.1103/PhysRevB.72.155117 (DOI)
Available from: 2006-10-03 Created: 2006-10-03 Last updated: 2017-12-13
5. Waveguiding properties of surface states in photonic crystals, physics/0510273
Open this publication in new window or tab >>Waveguiding properties of surface states in photonic crystals, physics/0510273
2006 (English)In: Journal of Lightwave Technology, ISSN 0733-8724, E-ISSN 1558-2213Article in journal (Refereed) Submitted
National Category
Natural Sciences
Identifiers
urn:nbn:se:liu:diva-14031 (URN)
Available from: 2006-10-03 Created: 2006-10-03 Last updated: 2017-12-13

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