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8. Conclusion
After outlining the principle and limitations of matrix optics, this article summarizes, in the form of synthetic tables, the various matrices describing elementary optical systems required to study more complex devices. Finally, it offers a calculation method, whose implementation is summarized in a flowchart, to determine the properties of optical instruments, such as the effective focal length, the position of the final or intermediate image, and its magnification.
Although this method provides rapid access to the properties of an instrument, the matrix calculation is limited to the approximation of paraxial optics for systems centered around the optical axis. Nevertheless, a more precise theory exists that is not covered in this article: an extension based on 2 × 2 matrices to 3 × 3 matrices has been developed, introducing an additional angle due to the diffraction...
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Conclusion
Glossary
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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