Determination of point of incidence for the case of reflection or refraction at spherical surface knowing two points lying on the ray

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F17%3A00313391" target="_blank" >RIV/68407700:21110/17:00313391 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1364/AO.56.007174" target="_blank" >http://dx.doi.org/10.1364/AO.56.007174</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1364/AO.56.007174" target="_blank" >10.1364/AO.56.007174</a>

Result language
angličtina
Original language name
Determination of point of incidence for the case of reflection or refraction at spherical surface knowing two points lying on the ray
Original language description
The paper is focused on the problem of determination of the point of incidence of a light ray for the case of reflection or refraction at the spherical optical surface, assuming that two fixed points in space that the sought light ray should go through are given. The requirement is that one of these points lies on the incident ray and the other point on the reflected/refracted ray. Although at first glance it seems to be a simple problem, it will be shown that it has no simple analytical solution. The basic idea of the solution is given, and it is shown that the problem leads to a nonlinear equation in one variable. The roots of the resulting nonlinear equation can be found by numerical methods of mathematical optimization. The proposed methods were implemented in MATLAB, and the proper function of these algorithms was verified on several examples.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10306 - Optics (including laser optics and quantum optics)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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