Original Research

Deflection and translation of a ray traversing an optical system, nodal rays and the optical axis

W. F. Harris, S. D. Mathebula, A. Rubin
African Vision and Eye Health | South African Optometrist: Vol 68, No 4 | a168 | DOI: https://doi.org/10.4102/aveh.v68i4.168 | © 2009 W. F. Harris, S. D. Mathebula, A. Rubin | This work is licensed under CC Attribution 4.0
Submitted: 13 December 2009 | Published: 17 December 2009

About the author(s)

W. F. Harris, Department of Optometry, University of Johannesburg, South Africa
S. D. Mathebula,, South Africa
A. Rubin, Department of Optometry, University of Johannesburg, South Africa

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Abstract

Expressions are derived for the deflection and transverse translation of a ray as it traverses an arbitrary optical system.  The system may be astigmatic and have relatively decentred refracting elements.  The expressions are in terms of the fundamental properties of the system.  Because nodal rays are rays that undergo no deflection the results lead immediately to expressions that define nodal rays through the system.  An optical axis of an optical system is a nodal ray that is a straight line through the system.  This allows one to write an expression that determines the optical axis of an arbitrary optical
system.


Keywords

deflection; transverse translation; nod- al rays; optical axis

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