4. Applications for determining the focal points of an optical system
All demonstrations in this section are valid for optical systems of any vergence (positive or negative). For the sake of clarity, however, the illustrations and examples are presented for converging systems (positive vergence).
4.1 Fireplace introduction
The focal point is defined as the point of convergence of a bundle of parallel rays passing through an optical system (Σ). To find the image focus, a beam of parallel rays illuminates the entrance of the Σ system, producing a beam of converging rays (figure 14 ).
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Applications for determining the focal points of an optical system
Equivalent matrices
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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