Numerical coupling of thermal-electric network models and energy-transport equations including optoelectronic semiconductor devices

In this work the numerical coupling of thermal and electric network models with model equations for optoelectronic semiconductor devices is presented. Modified nodal analysis (MNA) is applied to model electric networks. Thermal effects are modeled by an accompanying thermal network. Semiconductor devices are modeled by the energy-transport model, that allows for thermal effects. The energy-transport model is expandend to a model for optoelectronic semiconductor devices. The temperature of the crystal lattice of the semiconductor devices is modeled by the heat flow eqaution. The corresponding heat source term is derived under thermodynamical and phenomenological considerations of energy fluxes. The energy-transport model is coupled directly into the network equations and the heat flow equation for the lattice temperature is coupled directly into the accompanying thermal network. The coupled thermal-electric network-device model results in a system of partial differential-algebraic equations (PDAE). Numerical examples are presented for the coupling of network- and one-dimensional semiconductor equations. Hybridized mixed finite elements are applied for the space discretization of the semiconductor equations. Backward difference formluas are applied for time discretization. Thus, positivity of charge carrier densities and continuity of the current density is guaranteed even for the coupled model.

Ferroelektrische Netzwerksynthese und ihre Charakterisierung

Deutsch:Diese Arbeit beschäftigt sich zum einen mit der Synthese neuer, vernetzbarer, ferroelektrischer Verbindungen, welche eine höhere spontane Polarisation und damit ein besseres Schaltverhalten nach Vernetzung aufweisen sollten. Dazu wurde in bekannte Systemen die Halogene Fluor, Chlor und Brom erfolgreich eingebaut. Desweiteren konnten neue Untersuchungmethoden für ferroelektrische, flüssigkristalline Netzwerke erfolgreich angewendet und weiterentwickelt werden. Damit gelang es z. B. neue Erkenntnisse über die elastischen Eigenschaften von LC-Elastomeren zu gewinnen, wobei es erstmalig gelang, Seifenblasen aus LC-Polymeren herzustellen und durch UV-Bestrahlung zu vernetzen. Durch die Messung des Radius in Abhängigkeit des Druckes war es möglich festzustellen, daß sich das Verhalten des Polymers, welches zunächst oberflächenspannungskontrolliert war, nach UV-Bestrahlung, in ein elastisches Verhalten änderte. Aus der Radius vs. Druckbeziehung war es möglich, Daten über die elastischen Eigenschaften zu erhalten. Die Ballone zeigten dabei typische, gummielastische Eigenschaften. Ein Einfluß der Mesophase (d.h. SA oder SC-Phase) auf die Eigenschaften der Ballone konnte dabei nicht festgestellt werden. Für die beiden hier untersuchten Systeme des inter- und intralyer vernetzbaren System konnte festgestellt werden, daß ihr elastisches Verhalten sehr ähnlich ist, ganz im Gegensatz zu den früheren elektrooptischen Untersuchungen. D. h. beide Systeme zeigten nach der Vernetzung bis auf einen Faktor 2 das gleiche elastische Verhalten. Im Gegensatz zu nematischen Elastomeren, welche am Phasenübergang zum Teil große thermoelastische Änderungen zeigen, zeigten die hier untersuchten Elastomere keine Änderung der elastischen Eigenschaften beim Phasenübergang, was sich u.a. auf die relativ hohen Vernetzungsdichten zurückführen läßt. Weiterhin wurde die Elektrostriktion in ferroelektrischen flüssigkristallinen Elastomerenfilmen untersucht, welche zu einem neuen Weltrekord des elektrostriktiven Effektes führte. Es wurden Schichtdickenänderungen von 4% bei einem angelegten Feld von 1,5 kV gemessen. Röntgenstreuexperimente an gespincoateten, vernetzten Polymerfilmen haben überdies gezeigt, daß der gemessene Effekt voll und ganz auf den elektroklinen Effekt zurück zu führen ist. Zum Schluß wurde ein neuer Weg ausgearbeitet, um flüssigkristalline Netzwerke unter Einsatz von weniger präparativer Chemie zu erhalten. Dazu wurde die Möglichkeit der Netzwerkbildung mit organischen Gelbildnern untersucht. In diesem Zusammenhang ist es erstmalig gelungen, ferroelektrische Flüssigkristalle reversibel in dem einen oder anderen Zustand orientiert zu stabilisieren, wobei beliebig oft zwischen den stabilisierten Zuständen gewechselt werden konnte.

The search for the neutron electric dipole moment

A permanent electric dipole moment of the neutron violates time reversal as well as parity symmetry. Thus it also violates the combination of charge conjugation and parity symmetry if the combination of all three symmetries is a symmetry of nature. The violation of these symmetries could help to explain the observed baryon content of the Universe. The prediction of the Standard Model of particle physics for the neutron electric dipole moment is only about 10e−32 ecm. At the same time the combined violation of charge conjugation and parity symmetry in the Standard Model is insufficient to explain the observed baryon asymmetry of the Universe. Several extensions to the Standard Model can explain the observed baryon asymmetry and also predict values for the neutron electric dipole moment just below the current best experimental limit of d n < 2.9e−26 ecm, (90% C.L.) that has been obtained by the Sussex-RAL-ILL collaboration in 2006. The very same experiment that set the current best limit on the electric dipole moment has been upgraded and moved to the Paul Scherrer Institute. Now an international collaboration is aiming at increasing the sensitivity for an electric dipole moment by more than an order of magnitude. This thesis took place in the frame of this experiment and went along with the commissioning of the experiment until first data taking. After a short layout of the theoretical background in chapter 1, the experiment with all subsystems and their performance are described in detail in chapter 2. To reach the goal sensitivity the control of systematic errors is as important as an increase in statistical sensitivity. Known systematic efects are described and evaluated in chapter 3. During about ten days in 2012, a first set of data was measured with the experiment at the Paul Scherrer Institute. An analysis of this data is presented in chapter 4, together with general tools developed for future analysis eforts. The result for the upper limit of an electric dipole moment of the neutron is |dn| ≤ 6.4e−25 ecm (95%C.L.). Chapter 5 presents investigations for a next generation experiment, to build electrodes made partly from insulating material. Among other advantages, such electrodes would reduce magnetic noise, generated by the thermal movement of charge carriers. The last Chapter summarizes this work and gives an outlook.

Thermal excitations of optical nanofibers measured with a fiber-integrated Fabry-Pérot cavity

Efficient coupling of light to quantum emitters, such as atoms, molecules or quantum dots, is one of the great challenges in current research. The interaction can be strongly enhanced by coupling the emitter to the eva-nescent field of subwavelength dielectric waveguides that offer strong lateral confinement of the guided light. In this context subwavelength diameter optical nanofibers as part of a tapered optical fiber (TOF) have proven to be powerful tool which also provide an efficient transfer of the light from the interaction region to an optical bus, that is to say, from the nanofiber to an optical fiber. rnAnother approach towards enhancing light–matter interaction is to employ an optical resonator in which the light is circulating and thus passes the emitters many times. Here, both approaches are combined by experi-mentally realizing a microresonator with an integrated nanofiber waist. This is achieved by building a fiber-integrated Fabry-Pérot type resonator from two fiber Bragg grating mirrors with a stop-band near the cesium D2-line wavelength. The characteristics of this resonator fulfill the requirements of nonlinear optics, optical sensing, and cavity quantum electrodynamics in the strong-coupling regime. Together with its advantageous features, such as a constant high coupling strength over a large volume, tunability, high transmission outside the mirror stop band, and a monolithic design, this resonator is a promising tool for experiments with nanofiber-coupled atomic ensembles in the strong-coupling regime. rnThe resonator's high sensitivity to the optical properties of the nanofiber provides a probe for changes of phys-ical parameters that affect the guided optical mode, e.g., the temperature via the thermo-optic effect of silica. Utilizing this detection scheme, the thermalization dynamics due to far-field heat radiation of a nanofiber is studied over a large temperature range. This investigation provides, for the first time, a measurement of the total radiated power of an object with a diameter smaller than all absorption lengths in the thermal spectrum at the level of a single object of deterministic shape and material. The results show excellent agreement with an ab initio thermodynamic model that considers heat radiation as a volumetric effect and that takes the emitter shape and size relative to the emission wavelength into account. Modeling and investigating the thermalization of microscopic objects with arbitrary shape from first principles is of fundamental interest and has important applications, such as heat management in nano-devices or radiative forcing of aerosols in Earth's climate system. rnUsing a similar method, the effect of the TOF's mechanical modes on the polarization and phase of the fiber-guided light is studied. The measurement results show that in typical TOFs these quantities exhibit high-frequency thermal fluctuations. They originate from high-Q torsional oscillations that couple to the nanofiber-guided light via the strain-optic effect. An ab-initio opto-mechanical model of the TOF is developed that provides an accurate quantitative prediction for the mode spectrum and the mechanically induced polarization and phase fluctuations. These high-frequency fluctuations may limit the ultimate ideality of fiber-coupling into photonic structures. Furthermore, first estimations show that they may currently limit the storage time of nanofiber-based atom traps. The model, on the other hand, provides a method to design TOFs with tailored mechanical properties in order to meet experimental requirements. rn