We analyze the radius of curvature of Bessel Gaussian (BG) and modified Bessel Gaussian (mBG) beams. The study is based on the results of analytic derivation as well as those of the random phase screen approach. Our results are displayed in graphs as variations of radius of curvature against...
This constitutes the well-known capillary approximation, and it is often interpreted as the combined mechanical effect of surface tension and pressure. However, the above derivation shows that the surface tension 2γ0/R is not a mechanical force, but a thermodynamic or chemical force. The assumpti...
straight line - a line traced by a point traveling in a constant direction; a line of zero curvature; "the shortest distance between two points is a straight line" geodesic, geodesic line - (mathematics) the shortest line between two points on a mathematically defined surface (as a straight...
Several alternative gravity theories are reduced to GR in a vacuum, making it compatible with most tests in regions of low curvature and low energy. One well-known example is theories with the auxiliary field [13] such as Eddington-inspired Born Infeld (EiBI) gravity [14], Palatini f(R) ...
radius-of-curvatureedge sensorsactive opticsA system which estimates the global radius of curvature (GRoC) and corrects for changes in GRoC on a segmented primary mirror has been developed for and verified on McDonald Observatory's Hobby Eberly Telescope (HET). The GRoC estimation and control ...
Global radius of curvature estimation and control for the Hobby Eberly Telescope[J].SPIE,2003.681-692.John Rakoczy, Drew Hall, William Ly, et al. Global radius of curvature estimation and control for the Hobby Eberly Telescope [J]. Proceedings of SPIE(S0277-786X), 2003, 4837: 681-692....
I utilise the Big Bounce theory to tune the initial conditions of the curvature density, and to avoid the Big Bang singularity and inflationary constraints. The mathematical derivation of a positively curved universe governed by only gravity revealed horizon solutions. Although the positive horizon is...
On the basis of the above research and the semi-experimental modified Preston equation obtained from the combination method of experimental and theoretical derivation, the material removal model of the convex surface considering the influence of the curvature radius in the bonnet polishing is established...
The asphericity of the cornea does not show any apparent association with corneal curvature in this group of subjects. Introduction Videokeratoscopes (VKs) are becoming increasingly popular for examining the refractive power and the topography of the cornea. Various aspects of corneal topography are ...