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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10306 - Optics (including laser optics and quantum optics)

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Applied Optics

ISSN

1559-128X

e-ISSN

2155-3165

Svazek periodika

56

Číslo periodika v rámci svazku

25

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

8

Strana od-do

7174-7181

Kód UT WoS článku

000409025800023

EID výsledku v databázi Scopus

2-s2.0-85028859779