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While in principle aspheric surfaces can take a wide variety of forms, aspheric lenses are often designed with surfaces of the form = (+ (+)) + + +, [3]where the optic axis is presumed to lie in the z direction, and () is the sag—the z-component of the displacement of the surface from the vertex, at distance from the axis.
Etendue for a differential surface element in 2D (left) and 3D (right).. An infinitesimal surface element, dS, with normal n S is immersed in a medium of refractive index n.The surface is crossed by (or emits) light confined to a solid angle, dΩ, at an angle θ with the normal n S.
Figure 1 – General mechanism of diffuse reflection by a solid surface (refraction phenomena not represented) Figure 2 – Diffuse reflection from an irregular surface. Diffuse reflection from solids is generally not due to surface roughness. A flat surface is indeed required to give specular reflection, but it does not prevent diffuse reflection.
Diffuse reflection - Generally, when light strikes the surface of a (non-metallic and non-glassy) solid material, it bounces off in all directions due to multiple reflections by the microscopic irregularities inside the material (e.g., the grain boundaries of a polycrystalline material or the cell or fiber boundaries of an organic material ...
Reflection of light is either specular (mirror-like) or diffuse (retaining the energy, but losing the image) depending on the nature of the interface.In specular reflection the phase of the reflected waves depends on the choice of the origin of coordinates, but the relative phase between s and p (TE and TM) polarizations is fixed by the properties of the media and of the interface between them.
Reflectance is a component of the response of the electronic structure of the material to the electromagnetic field of light, and is in general a function of the frequency, or wavelength, of the light, its polarization, and the angle of incidence.
Diagram of Lambertian diffuse reflection. The black arrow shows incident radiance, and the red arrows show the reflected radiant intensity in each direction. When viewed from various angles, the reflected radiant intensity and the apparent area of the surface both vary with the cosine of the viewing angle, so the reflected radiance (intensity per unit area) is the same from all viewing angles.
Caustics produced by a glass of water, visible as patches of light Cardioid caustic at the bottom of a teacup Caustics made by the surface of water Caustics in shallow water In optics , a caustic or caustic network [ 1 ] is the envelope of light rays which have been reflected or refracted by a curved surface or object, or the projection of that ...