Theory of laser-induced ultrafast structural changes in solids

The present thesis is a contribution to the study of laser-solid interaction. Despite the numerous applications resulting from the recent use of laser technology, there is still a lack of satisfactory answers to theoretical questions regarding the mechanism leading to the structural changes induced by femtosecond lasers in materials. We provide here theoretical approaches for the description of the structural response of different solids (cerium, samarium sulfide, bismuth and germanium) to femtosecond laser excitation. Particular interest is given to the description of the effects of the laser pulse on the electronic systems and changes of the potential energy surface for the ions. Although the general approach of laser-excited solids remains the same, the potential energy surface which drives the structural changes is calculated with different theoretical models for each material. This is due to the difference of the electronic properties of the studied systems. We use the Falicov model combined with an hydrodynamic method to study photoinduced phase changes in cerium. The local density approximation (LDA) together with the Hubbard-type Hamiltonian (LDA+U) in the framework of density functional theory (DFT) is used to describe the structural properties of samarium sulfide. We parametrize the time-dependent potential energy surface (calculated using DFT+ LDA) of bismuth on which we perform quantum dynamical simulations to study the experimentally observed amplitude collapse and revival of coherent $A_{1g}$ phonons. On the basis of a time-dependent potential energy surface calculated from a non-orthogonal tight binding Hamiltonian, we perform molecular dynamics simulation to analyze the time evolution (coherent phonons, ultrafast nonthermal melting) of germanium under laser excitation. The thermodynamic equilibrium properties of germanium are also reported. With the obtained results we are able to give many clarifications and interpretations of experimental results and also make predictions.

On the relationship between the Method of Least Squares and Gram-Schmidt orthogonalization

The method of Least Squares is due to Carl Friedrich Gauss. The Gram-Schmidt orthogonalization method is of much younger date. A method for solving Least Squares Problems is developed which automatically results in the appearance of the Gram-Schmidt orthogonalizers. Given these orthogonalizers an induction-proof is available for solving Least Squares Problems.

Patent DE10 2004 037 519 B4 “Sensor Process and Device for Determining a Physical Value“. A Proof of Concept

At present, a fraction of 0.1 - 0.2% of the patients undergoing surgery become aware during the process. The situation is referred to as anesthesia awareness and is obviously very traumatic for the person experiencing it. The reason for its occurrence is mostly an insufficient dosage of the narcotic Propofol combined with the incapability of the technology monitoring the depth of the patient’s anesthetic state to notice the patient becoming aware. A solution can be a highly sensitive and selective real time monitoring device for Propofol based on optical absorption spectroscopy. Its working principle has been postulated by Prof. Dr. habil. H. Hillmer and formulated in DE10 2004 037 519 B4, filed on Aug 30th, 2004. It consists of the exploitation of Intra Cavity Absorption effects in a two mode laser system. In this Dissertation, a two mode external cavity semiconductor laser, which has been developed previously to this work is enhanced and optimized to a functional sensor. Enhancements include the implementation of variable couplers into the system and the implementation of a collimator arrangement into which samples can be introduced. A sample holder and cells are developed and characterized with a focus on compatibility with the measurement approach. Further optimization concerns the overall performance of the system: scattering sources are reduced by re-splicing all fiber-to-fiber connections, parasitic cavities are eliminated by suppressing the Fresnel reflexes of all one fiber ends by means of optical isolators and wavelength stability of the system is improved by the implementation of thermal insulation to the Fiber Bragg Gratings (FBG). The final laser sensor is characterized in detail thermally and optically. Two separate modes are obtained at 1542.0 and 1542.5 nm, tunable in a range of 1nm each. Mode Full Width at Half Maximum (FWHM) is 0.06nm and Signal to Noise Ratio (SNR) is as high as 55 dB. Independent of tuning the two modes of the system can always be equalized in intensity, which is important as the delicacy of the intensity equilibrium is one of the main sensitivity enhancing effects formulated in DE10 2004 037 519 B4. For the proof of concept (POC) measurements the target substance Propofol is diluted in the solvents Acetone and DiChloroMethane (DCM), which have been investigated for compatibility with Propofol beforehand. Eight measurement series (two solvents, two cell lengths and two different mode spacings) are taken, which draw a uniform picture: mode intensity ratio responds linearly to an increase of Propofol in all cases. The slope of the linear response indicates the sensitivity of the system. The eight series are split up into two groups: measurements taken in long cells and measurements taken in short cells.

Familiale Bewegungssozialisation

Familiale Bewegungssozialisation – Zum Einfluss der Herkunftsfamilie auf die Bewegungssozialisation von Grundschulkindern. Die zentrale Fragestellung der Schrift ist, welchen Einfluss die soziale Herkunft auf die Bewegungssozialisation und Bewegungsentwicklung von Kindern im Grundschulalter hat. Die Auswirkungen sozialer Ungleichheit auf die Bewegungssozialisation, insbesondere die motorische Entwicklung, wurden in der Sportwissenschaft noch unzureichend untersucht. Der Arbeit liegt die Sozialisationstheorie von Witte (1994) zugrunde; mit ihrer Hilfe wird versucht die motorische Entwicklung theoriegeleitet zu erklären. Dafür werden Merkmale der Bewegungssozialisation und der motorischen Entwicklung in das theoretische Rahmenkonzept von Witte (1994) eingesetzt. Zu Beginn (Kapitel 1) erklärt die Arbeit den Begriff der sozialen Herkunft. Es werden der soziale Status, die Familienform und der Migrationshintergrund als Bestandteile der sozialen Herkunft definiert. Im weiteren Verlauf (Kapitel 2) wird die Sozialisationsinstanz Familie und die verschiedenen Familienformen vor dem Hintergrund sozialer Ungleichheit dargelegt. Das dritte Kapitel widmet sich dem sozialisationstheoretischen Konzept. Es werden die Sozialisationstheorie von Hurrelmann, die Körper- und Bewegungskarriere von Baur und das theoretische Rahmenkonzept der Sozialisation von Witte erklärt. Kapitel 4 beschreibt den Forschungsstand und Kapitel 5 stellt die Modellbildung und die Herleitung der Hypothesen dar. Die empirische Untersuchung fand an ausgewählten Grundschulen der Stadt Kassel statt. Insgesamt wurden 251 Kinder im Alter von 7-10 Jahren mit dem AST 6-11 untersucht und deren Eltern mit einem eigens entwickelten Fragebogen befragt. Die Daten wurden mit Hilfe von multivariaten Verfahren in Beziehung zueinander gesetzt. Die Ergebnisse zeigen, dass sich Grundschulkinder hinsichtlich ihrer motorischen Entwicklung nicht in Abhängigkeit der sozialen Herkunft unterscheiden. Jedoch ist das Sportklima der Familien sehr stark abhängig von der sozialen Herkunft. Es wird deutlich, dass Kinder aus sozial benachteiligten Familien, aus Ein-Eltern-Familien und mit Migrationshintergrund schlechtere Möglichkeiten haben sich in ihrer Bewegungssozialisation zu entfalten. Die Prüfung des Sozialisationsmodells zeigt, neben der guten Operationalisierbarkeit des Modells, dass die Modellvariable „Orientierung“ (Orientierung der Familie hinsichtlich der Bedeutung von Bewegung und Sport) den größten Einfluss auf die Bewegungssozialisation von Kindern hat.