5. Equivalent matrices
5.1 Generalization of the equivalent system concept
An equivalent system is a single system grouping several elements, which operates with the same physical quantity as input and generates the same physical quantity as output.
As each element is represented by a matrix for linear models, the matrix product resulting from their grouping provides a single equivalent matrix with the same functionalities.
This notion of equivalent system is commonly used in other fields of physics, such as mirrors in electrostatics, or Thévenin and Norton's theorems in electrokinetics. In geometrical optics, and more specifically in paraxial optics, equivalent optical systems are defined in relation to particular...
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Equivalent matrices
Calculation method for complex optical systems
Bibliography
- (1) - Base de données des indices de réfraction : Mikhail Polyanskiy, - 2008-2016, http://refractive index.info/ .
- (2) - Tout Savoir sur les Lentilles Asphériques,...
Works
Optics Learning by Computing, with Examples Using Mathcad, MATLAB, Mathematica, and Maple, second edition, Karl Dieter Moller, ISBN: 9780387261683, 454 pp, (2007)
Eugene Hecht, Optics, 5th edition, Adelphi University, pages 261-266, 2015
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Course, with extensions on the telescope/microscope in matrix optics, 3x3 matrix theory for diffractive...
Scientific articles
Joseph (S.) Choi and John (C.) Howell, "Paraxial ray optics cloaking," Opt. Express 22, 29465-29478 (2014)
Gatinel (D.), Haouat (M.), Hoang-Xuan (T.), "Étude des paramètres permettant la description mathématique de l'asphéricite cornéenne", J FR. Ophthalmol; 25, 1, 81-90 (2002)
Halbach (K.) " Matrix representation of Gaussian...
University courses
– Geometrical matrix optics course, introduction to interference and diffraction phenomena: Yann Vaills, Université d'Orléans (2011)
Software tools (non-exhaustive list)
Ray tracing software :
The calculation principle of these programs is based on the intersection between the ray (characterized by the 2 components of its wave vector) and the nearest surface. A calculation is then performed to find the new wave vector using Descartes' laws after reflection and/or refraction on the surface, up to the next nearest surface encountered. Here are...
Websites
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Laser optics and Gaussian beams – Course, exercise and example applications, S. Forget (2015)
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Choosing the right telescope, how to get started in astronomy
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