Design of switches and beam splitters by use of chaotic cavities

Bendix, Oliver; Méndez-Bermúdez, J. A.

doi:10.1364/ol.30.001396

Cited by 4 publications

(4 citation statements)

References 8 publications

(7 reference statements)

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“…A particular case of the harmonic profile ͑x͒ = a cos͑2x / L͒ can be used to design electro-optical devices such as resonant cavities, semiconductor microlasers, beam splitters, and switches ͑see Ref. 27 and references therein͒.…”

Section: Discussionmentioning

confidence: 99%

Square-gradient mechanism of surface scattering in quasi-one-dimensional rough waveguides

2007

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We develop a perturbative approach that allows one to study surface scattering in quasi-one-dimensional waveguides with rough boundaries. Our approach is based on the construction of an effective "bulk" potential of a very complicated structure. A detailed analysis of this potential reveals that apart from well-known terms considered in previous studies, one should keep specific terms that depend on the square of the derivative of the boundaries. As was found, in spite of an apparent smallness of these square-gradient scattering ͑SGS͒ terms, there is a physically important region of parameters in which they cannot be neglected. Our approach also demonstrates that the contribution of the SGS mechanism of scattering strongly depends on the type of rough boundaries ͑uncorrelated, symmetric, or antisymmetric͒.

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Section: Discussionmentioning

confidence: 99%

Square-gradient mechanism of surface scattering in quasi-one-dimensional rough waveguides

2007

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“…In dieser Arbeit wird eine stabile und Quantenbillards in diesem Zusammenhang erwuchs aus der Erkenntnis, dass Mikroresonatoren mit chaotischer Dynamik [22,23] oder mit gemischtem Phasenraum [24,25,26] dazu verwendet werden können, da sie es rein durch die Wahl der äußeren Form des Resonators erlauben, hohe Gütefaktoren zu realisieren, ohne gleichzeitig auf stark gerichtete Emission verzichten zu müssen. Wir zeigen hier, dass sogar der Wellenleiter selbst als Resonator verwendet werden kann, um interessante technische Anwendungen wie Strahlenteiler oder Strahlenschalter daraus abzuleiten [1,2]. In diesen Betrachtungen nutzen wir die Formäquivalenz zwischen zeitunabhängiger Schrödinger-Gleichung und optischer Wellengleichung (Helmholtz-Gleichung), um die zuvor entwickelte quantenmechanische Methode anwenden zu können.…”

Section: Ballistischer Transportunclassified

“…und für die Minima an den Bandkanten der kleinsten Energieniveauabstände mit δ (1) = ∆ min ± ∆δ 1 bezeichnen wollen. Die Lösungen des ungestörten Falls sind Wellenfunktionen…”

Section: Wellenleiterunclassified

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Transport in nicht-hermiteschen niedrigdimensionalen Systemen

Bendix¹

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In this work, scientific methods and findings known from mesoscopic physics, primarily used for semiconductor nanostructures, will be transferred to photonic systems, enabled by the analogy of mesoscopic ballistic transport and transport processes in photonics. Therefore a numerical method is developed that is based on Greens functions in combination with the Landauer-Büttiker formalism, and that allows describing coherent transport processes in low-dimensional semiconductor structures. This so-called scattering formalism is tested and elucidated in the framework of the ballistic rectifier. It is furthermore shown to be fruitful in gaining substantial results of comprehensively examined optical systems developed within this work -the chaotic beam splitter with its broad range of applications for photonic devices and the Müller cell, which acts as a biological wave guide in the retina of vertebrates, ensuring light transport through the retina while increasing the optical performance in most parts of the entire eye. The quantum scattering formalism allows investigating novel aspects of transport in optical systems. Based on dynamical tunneling a high effective single-mode laser and a variety of other applications within the context of deformed waveguides are presented and the reduction of scattering light in the surrounding area of the fovea in the human eye is predicted via theoretical analysis of the properties of human Müller cells.In addition to the intense study of these last two passive optical systems, this work gives special attention to PT -symmetric active optical systems. Fundamental analytical results for the impact and implication of localization and disorder in such active PT -symmetric systems are investigated here.Based on this, the possibility of designing optical metamaterials with particular spatial ordered regions of gain and loss are inspected. The study concludes by transferring the scattering formalism to these active optical systems for characterization and classification of transport properties. KurzfassungIn der vorliegenden Arbeit wird die Analogie zwischen mesoskopischem ballistischem Transport und Transportvorgängen in der Photonik genutzt, um Methoden und Erkenntnisse aus der Theorie der mesoskopischen Physik, die bisher vornehmlich auf Halbleiter-Nanostrukturen angewandt wurden, auf photonische Systeme zu übertragen. Dazu wird eine numerische Methode entwickelt, die ihren Ursprung in der Theorie der Greenschen Funktionen in Verbindung mit dem Landauer-Büttiker-Formalismus zur Beschreibung von kohärenten Transportvorgängen in niedrigdimensionalen Halbleiterstrukturen hat. Am Beispiel des ballistischen Gleichrichters wird diese im Weiteren genutzte numerische Methode des Streuformalismus erläutert und getestet. Sie erweist sich als äußerst effizient, um zu substanziellen Erkenntnissen über hier entwickelte und eingehend untersuchte optische Systeme zu gelangen -den chaotischen Strahlenteiler mit seinen hier abgeleiteten vielfältigen Anwendungen für die Photonik und die Müllerschen Zell...

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Localization properties of eigenstates in waveguides and cavities with corrugated boundaries

Méndez-Bermúdez

González-Zacarías

2015

Waves in Random and Complex Media

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Design of switches and beam splitters by use of chaotic cavities

Cited by 4 publications

References 8 publications

Square-gradient mechanism of surface scattering in quasi-one-dimensional rough waveguides

Square-gradient mechanism of surface scattering in quasi-one-dimensional rough waveguides

Transport in nicht-hermiteschen niedrigdimensionalen Systemen

Localization properties of eigenstates in waveguides and cavities with corrugated boundaries

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