16 research outputs found
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