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A Laguerre-Gaussian beam is an optical vortex with a line singularity along the beam axis. An optical singularity is a zero of an optical field. The phase in the field circulates around these points of zero intensity (giving rise to the name vortex). Vortices are points in 2D fields and lines in 3D fields (as they have codimension two).
The sign convention for the optical radius of curvature is as follows: If the vertex lies to the left of the center of curvature, the radius of curvature is positive. If the vertex lies to the right of the center of curvature, the radius of curvature is negative. Thus when viewing a biconvex lens from the side, the left surface radius of ...
Vertex distance is the distance between the back surface of a corrective lens, i.e. glasses (spectacles) or contact lenses, and the front of the cornea. Increasing or decreasing the vertex distance changes the optical properties of the system, by moving the focal point forward or backward, effectively changing the power of the lens relative to ...
S2=vertex of the second optical surface; SH=distance from the vertex of the first optical surface to the primary principal plane; S′H′=distance from the vertex of the second optical surface to the secondary principal plane; SF=distance from the surface of the first optical surface to the front focal point, called the front focal distance; S ...
In optics and especially telescope making, sagitta or sag is a measure of the glass removed to yield an optical curve. It is approximated by the formula It is approximated by the formula S ( r ) ≈ r 2 2 × R {\displaystyle S(r)\approx {\frac {r^{2}}{2\times R}}} ,
Convert the primitive into a grid of micropolygons, each approximately the size of a pixel. Shade. Calculate lighting and shading at each vertex of the micropolygon grid. Bust the grid into individual micropolygons, each of which is bounded and checked for visibility. Hide. Sample the micropolygons, producing the final 2D image.
Schematic of SPDC process. Note that conservation laws are with respect to energy and momentum inside the crystal.. Spontaneous parametric down-conversion (also known as SPDC, parametric fluorescence or parametric scattering) is a nonlinear instant optical process that converts one photon of higher energy (namely, a pump photon) into a pair of photons (namely, a signal photon, and an idler ...
A ray drawn from the top of the object to the mirror surface vertex (where the optical axis meets the mirror) will form an angle with the optical axis. The reflected ray has the same angle to the axis, but on the opposite side (See Specular reflection). A second ray can be drawn from the top of the object, parallel to the optical axis. This ray ...