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  2. Optical path length - Wikipedia

    en.wikipedia.org/wiki/Optical_path_length

    An electromagnetic wave propagating along a path C has the phase shift over C as if it was propagating a path in a vacuum, length of which, is equal to the optical path length of C. Thus, if a wave is traveling through several different media, then the optical path length of each medium can be added to find the total optical path length. The ...

  3. Helmholtz reciprocity - Wikipedia

    en.wikipedia.org/wiki/Helmholtz_reciprocity

    When there are magnetic fields in the path of the ray, the principle does not apply. [4] Departure of the optical medium from linearity also causes departure from Helmholtz reciprocity, as well as the presence of moving objects in the path of the ray. Helmholtz reciprocity referred originally to light.

  4. Optical path - Wikipedia

    en.wikipedia.org/wiki/Optical_path

    Optical path (OP) is the trajectory that a light ray follows as it propagates through an optical medium. The geometrical optical-path length or simply geometrical path length ( GPD ) is the length of a segment in a given OP, i.e., the Euclidean distance integrated along a ray between any two points. [ 1 ]

  5. Snell's law - Wikipedia

    en.wikipedia.org/wiki/Snell's_law

    Snell's law can be derived from Fermat's principle, which states that the light travels the path which takes the least time. By taking the derivative of the optical path length, the stationary point is found giving the path taken by the light. (There are situations of light violating Fermat's principle by not taking the least time path, as in ...

  6. Geometrical optics - Wikipedia

    en.wikipedia.org/wiki/Geometrical_optics

    A slightly more rigorous definition of a light ray follows from Fermat's principle, which states that the path taken between two points by a ray of light is the path that can be traversed in the least time. [1] Geometrical optics is often simplified by making the paraxial approximation, or "small angle approximation".

  7. Stokes relations - Wikipedia

    en.wikipedia.org/wiki/Stokes_relations

    Since there is no absorption this system is reversible, as shown in the second picture (where the direction of the beams has been reversed). If this reversed process were actually taking place, there will be parts of the incoming fields ( rE and tE ) that are themselves transmitted and reflected at the boundary.

  8. Fermat's principle - Wikipedia

    en.wikipedia.org/wiki/Fermat's_principle

    By (i), the ray path is a path of stationary traversal time from P to W′; [17] and by (ii), it is a path of stationary traversal time from a point on W to P′. [ 18 ] So Huygens' construction implicitly defines a ray path as a path of stationary traversal time between successive positions of a wavefront , the time being reckoned from a point ...

  9. Conjugate focal plane - Wikipedia

    en.wikipedia.org/wiki/Conjugate_focal_plane

    This comes from the principle of reversibility which states light rays will travel along the originating path if the light's direction is reversed. [2] Depending on how an optical system is designed, there can be multiple planes that are conjugate to a specific plane (e.g. intermediate and final image planes for an object plane).