Motion and gravitational wave emission of spinning compact binaries

The thesis treats the subject of compact binary systems with spin in the general theory of relativity. We discuss important configurations as, in the first part of the thesis, parallel or antiparallel spins and orbital angular momentum. In the second part we treat compact binaries with spin whose individual masses differ slightly from each other. Finally, in the third part, we compute analytical time Fourier domain wave forms for nonspinning compact binaries. In all our computations we employ the framework of the post-Newtonian approximation

Gravitational waveforms from unequal-mass binaries with arbitrary spins under leading order spin-orbit coupling

The paper generalizes the structure of gravitational waves from orbiting spinning binaries under leading order spin-orbit coupling, as given in the work by K\"onigsd\"orffer and Gopakumar [PRD 71, 024039 (2005)] for single-spin and equal-mass binaries, to unequal-mass binaries and arbitrary spin configurations. The orbital motion is taken to be quasi-circular and the fractional mass difference is assumed to be small against one. The emitted gravitational waveforms are given in analytic form.Comment: 13 pages, 2 figures, submitted to PRD on 11 Sep. 200

Full-analytic frequency-domain 1pN-accurate gravitational wave forms from eccentric compact binaries

The article provides ready-to-use 1pN-accurate frequency-domain gravitational wave forms for eccentric nonspinning compact binaries of arbitrary mass ratio including the first post-Newtonian (1pN) point particle corrections to the far-zone gravitational wave amplitude, given in terms of tensor spherical harmonics. The averaged equations for the decay of the eccentricity and growth of radial frequency due to radiation reaction are used to provide stationary phase approximations to the frequency-domain wave forms.Comment: 28 pages, submitted to PR

Page Length and Methodological Characteristics of Recently Published Doctoral Dissertations in Education

In this methodological review, we conducted a quantitative content analysis of a random sample of 107 education-related doctoral dissertations published in Proquest Dissertations and Theses database in 2011. Seven raters coded each article in terms of page lengths (overall and within each chapter), research method (qualitative, quantitative, or mixed-methods), author gender, and university characteristics (online or traditional). We found that the median education dissertation length was 161 pages long, but those page lengths differed between research methods. The median page lengths of qualitative, mixed method, and quantitative dissertations were 210, 187, and 147 respectively. The median page length of education dissertations from online universities was 44 pages shorter than education dissertations from their traditional counterparts. Contrary to previous research, we found no statistically significant relationship between gender and methods choice

Generalized propagation of light through optical systems. I. Mathematical basics

The propagation of an input field through tilted and curved surfaces is presented and applied for a field tracing routine. This routine employs a ray tracing method for optimal coordinate customization, which is done due to the strong linear phase terms that arise because of tilted coordinates on one hand and the possibility of an application of fast numerical routines on the other. Several methods are proposed on how to optimize the field sampling during the propagation process, as for the astigmatic phase front problem and the curvature of the surface itself. Two solution methods are given to propagate from the curved surface through the homogeneous space to another two-dimensional submanifold. The approach is fully vectorial, Maxwell exact excluding only surface curvature terms for the Fresnel coefficients. A simple numerical propagation example is given