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Page "Refraction" ¶ 6
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ray and traveling
After either a maximum number of reflections or a ray traveling a certain distance without intersection, the ray ceases to travel and the pixel's value is updated.
One can think of this " ray " as a stream of photons traveling along the same path.
Refraction rays traveling through transparent material work similarly, with the addition that a refractive ray could be entering or exiting a material.
Light traveling in the forward direction is split by the input birefringent wedge into its vertical ( 0 °) and horizontal ( 90 °) components, called the ordinary ray ( o-ray ) and the extraordinary ray ( e-ray ) respectively.
Eagle rays live close to the coast in depths of 1 to 30 m and in exceptional cases they are found as deep as 300 m. The eagle ray is most commonly seen cruising along sandy beaches in very shallow waters, its two wings sometimes breaking the surface and giving the impression of two sharks traveling together.
A light ray enters the system when the ray crosses the input plane at a distance x < sub > 1 </ sub > from the optical axis while traveling in a direction that makes an angle θ < sub > 1 </ sub > with the optical axis.
Taking the muon lifetime at rest as the laboratory value of 2. 22 μs, the lifetime of a cosmic ray produced muon traveling at 98 % of the speed of light is about five times longer, in agreement with observations.
The line just drawn represents the ray of light traveling from the farthest edge of the square to the viewer's eye.
Radiance L along a ray can be thought of as the amount of light traveling along all possible straight lines through a tube whose size is determined by its solid angle and cross-sectional area.
In neutron, X-ray and gamma ray optics, a collimator is a device that filters a stream of rays so that only those traveling parallel to a specified direction are allowed through.
The Pierre Auger Observatory is an international cosmic ray observatory designed to detect ultra-high-energy cosmic rays: single sub-atomic particles ( protons or atomic nuclei ) with energies beyond 10 < sup > 20 </ sup > eV ( about the energy of a tennis ball traveling at 80 km / h ).
Falling objects will begin to acquire angular momentum from the ring before they actually strike it, and the path taken by a perpendicular light ray ( initially traveling toward the ring's center ) will curve in the direction of ring motion before intersecting with the ring.

ray and along
Once the ray either encounters a light source, or more probably once a set limiting number of bounces has been evaluated, then the surface illumination at that final point is evaluated using techniques described above, and the changes along the way through the various bounces evaluated to estimate a value observed at the point of view.
# Plano-polar, in which points in a plane are defined by a distance from a specified point along a ray having a specified direction with respect to a base line or axis ;
Photon mapping is another method that uses both light-based and eye-based ray tracing ; in an initial pass, energetic photons are traced along rays from the light source so as to compute an estimate of radiant flux as a function of 3-dimensional space ( the eponymous photon map itself ).
The OpenRT project includes a highly optimized software core for ray tracing along with an OpenGL-like API in order to offer an alternative to the current rasterisation based approach for interactive 3D graphics.
However, if the angle of incidence is greater ( i. e. the ray is closer to being parallel to the boundary ) than the critical angle – the angle of incidence at which light is refracted such that it travels along the boundary – then the light will stop crossing the boundary altogether and instead be totally reflected back internally.
In other words, a ray of light prefers the path such that there are other paths, arbitrarily nearby on either side, along which the ray would take almost exactly the same time to traverse.
c is the speed of light in vacuum, ds an infinitesimal displacement along the ray, v
Assuming now that light travels along the x < sub > 3 </ sub > axis, the path of a light ray may be parametrized as and
Particle detectors were mounted halfway up the mast, along with the cosmic ray detector.
Particle detectors were mounted halfway up the mast, along with the cosmic ray detector.
The largest possible angle of incidence which still results in a refracted ray is called the critical angle ; in this case the refracted ray travels along the boundary between the two media.
As the cosmic ray speed decreases due to deceleration in the stack, the ionization increases along the path.
In 2009, SeaWorld Orlando debuted Manta, a flying roller coaster themed to resemble the manta ray, along with an exhibit featuring other ray species.
The specialists observed that the pulmonary complications following lymphangiography ( a test which utilizes X ray technology, along with the injection of a contrast agent, to view lymphatic circulation and lymph nodes for diagnostic purposes ) are more often severe in patients with lymphatic obstruction.
This ray can be found along Atlantic coasts between Portugal and South Africa.
Some distance further along, the ray crosses the output plane, this time at a distance x < sub > 2 </ sub > from the optical axis and making an angle θ < sub > 2 </ sub >.
Seismic waves generated by large earthquakes enable structure below the Earth ’ s surface to be determined along the ray path.
In the tradition of many other popular characters, Opus apparently died ( while unwillingly brought along on a balloon expedition to Washington, DC, to zap the ambassador from apartheid-era South Africa with a ray that would temporarily turn him black ) only to return with amnesia.
One can think of this " ray " as a stream of photons travelling along the same path.

ray and normal
where is the angle between the ray and the surface normal in the first medium, is the angle between the ray and the surface normal in the second medium, and n < sub > 1 </ sub > and n < sub > 2 </ sub > are the indices of refraction, n = 1 in a vacuum and n > 1 in a transparent substance.
In specular reflection, the direction of the reflected ray is determined by the angle the incident ray makes with the surface normal, a line perpendicular to the surface at the point where the ray hits.
The incident and reflected rays and the normal lie in a single plane, and the angle between the reflected ray and the surface normal is the same as that between the incident ray and the normal.
Since the phase velocity is lower in the second medium ( v < sub > 2 </ sub > < v < sub > 1 </ sub >), the angle of refraction θ < sub > 2 </ sub > is less than the angle of incidence θ < sub > 1 </ sub >; that is, the ray in the higher-index medium is closer to the normal.
The laws of reflection state that the angle of reflection is equal and opposite to the angle of incidence between the incident ray and the normal to the sphere.
Total internal reflection is an optical phenomenon that happens when a ray of light strikes a medium boundary at an angle larger than a particular critical angle with respect to the normal to the surface.
The Fresnel equations predict that light with the p polarization ( electric field polarized in the same plane as the incident ray and the surface normal ) will not be reflected if the angle of incidence is
To see this, the three corresponding normal vectors of the corner's perpendicular sides can be considered to form a basis ( a rectangular coordinate system ) ( x, y, z ) in which to represent the direction of an arbitrary incoming ray, b, c. When the ray reflects from the first side, say x, the ray's x component, a, is reversed to-a while the y and z components are unchanged, resulting in a direction of b, c. Similarly, when reflected from side y and finally from side z, the b and c components are reversed.
The maxima occur at angles θ < sub > m </ sub >, which satisfy the relationship dsinθ < sub > m </ sub >/ λ =| m | where θ < sub > m </ sub > is the angle between the diffracted ray and the grating's normal vector, and d is the distance from the center of one slit to the center of the adjacent slit, and m is an integer representing the propagation-mode of interest.
* The angle, with respect to the normal, at which a light ray emerges from a surface.
Since the velocity is lower in the second medium ( v < sub > 2 </ sub > < v < sub > 1 </ sub >), the angle of refraction θ < sub > 2 </ sub > is less than the angle of incidence θ < sub > 1 </ sub >; that is, the ray in the higher-index medium is closer to the normal.
Furthermore, is defined as the set of all light sources, as the direction vector from the point on the surface toward each light source ( specifies the light source ), as the normal at this point on the surface, as the direction that a perfectly reflected ray of light would take from this point on the surface, and as the direction pointing towards the viewer ( such as a virtual camera ).
In reflection of light, the angle of incidence and the angle of reflection are respectively the angle between the normal and the incident ray and the angle between the normal and the reflected ray.

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