1. Background to matrix optics
1.1 Light wave
Light is an electromagnetic vibratory phenomenon, obeying the laws of electromagnetism in materials, modeled by Maxwell's equations. Its propagation is characterized by its spatial period , called wavelength, ν being the frequency of the vibration and c its celerity (speed of propagation) in the material through which it passes.
In order to make the solution given by Maxwell's equations independent of the materials in which light propagates, vacuum is taken as the reference medium. Thus, a wave of frequency ν is characterized by its wavelength λ 0 ...
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Background to matrix optics
Principle of matrix optics
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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