International Journal of Physics
ISSN (Print): 2333-4568 ISSN (Online): 2333-4576 Website: https://www.sciepub.com/journal/ijp Editor-in-chief: B.D. Indu
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International Journal of Physics. 2021, 9(6), 259-268
DOI: 10.12691/ijp-9-6-1
Open AccessArticle

Thick Lenses Systems between Arbitrary Index of Refraction Optical Media. A Simple Optical Model for the Human Eye

Fulvio Andres Callegari1,

1Centro de Engenharia, Modelagem, e Ciências Sociais Aplicadas, Universidade Federal do ABC, Santo André, SP, Brasil. Avenida dos Estados, 5001 - Bairro Santa Terezinha Santo André - CEP: 09210-580

Pub. Date: November 01, 2021

Cite this paper:
Fulvio Andres Callegari. Thick Lenses Systems between Arbitrary Index of Refraction Optical Media. A Simple Optical Model for the Human Eye. International Journal of Physics. 2021; 9(6):259-268. doi: 10.12691/ijp-9-6-1

Abstract

The optical matrix formalism is applied to find optical parameters such as focal distance, back and front focal points, principal planes and the object image equation for a thick spherical lens immerse in two optical media of different indexes of refraction. Then, the formalism is applied to systems compound of two, three and N thick lenses in cascade, immersed in three, four and N+1 optical media of different indexes, respectively. It is found that a simple Gaussian equation is enough to relate object and image distances no matter the number of lenses. This formalism is validated trough a simple optical matrix model of the human eye.

Keywords:
matrix optics thick lenses back focal length front focal length principal planes multi-lenses system human eye

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References:

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[2]  Callegari, F. A. “Thick lenses systems.” International Journal of Physical Sciences, 16(3), 96-109 (2021)
 
[3]  E. Hecht. “Optics” 5nd edition (Pearson, 2017).
 
[4]  W. Lotmar, “Theoretical Eye Model with Aspherics*,” J. Opt. Soc. Am. 61, 1522-1529 (1971).