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A plane mirror is a mirror with a flat reflective surface. [ 1 ] [ 2 ] For light rays striking a plane mirror, the angle of reflection equals the angle of incidence. [ 3 ] The angle of the incidence is the angle between the incident ray and the surface normal (an imaginary line perpendicular to the surface).
A reflection through an axis. In mathematics, a reflection (also spelled reflexion) [1] is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as the set of fixed points; this set is called the axis (in dimension 2) or plane (in dimension 3) of reflection.
Specular reflection, or regular reflection, is the mirror-like reflection of waves, such as light, from a surface. [ 1 ] The law of reflection states that a reflected ray of light emerges from the reflecting surface at the same angle to the surface normal as the incident ray, but on the opposing side of the surface normal in the plane formed by ...
These equations can be proved through straightforward matrix multiplication and application of trigonometric identities, specifically the sum and difference identities. The set of all reflections in lines through the origin and rotations about the origin, together with the operation of composition of reflections and rotations, forms a group .
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.
The equations consider a plane wave incident on a plane interface at angle of incidence, a wave reflected at angle =, and a wave transmitted at angle . In the case of an interface into an absorbing material (where n is complex) or total internal reflection, the angle of transmission does not generally evaluate to a real number.
A mirror image (in a plane mirror) is a reflected duplication of an object that appears almost identical, but is reversed in the direction perpendicular to the mirror surface. As an optical effect , it results from specular reflection off from surfaces of lustrous materials, especially a mirror or water .
Points in a mirror plane are invariant under reflection, and hence the points on their intersection (a line: the axis of rotation) are invariant under both the reflections, and hence under the rotation. Another simple way to find the rotation axis is by considering the plane on which the points α, A, a lie.