What question did this study set out to answer?

To derive equations that describe rays, magnification, and blur at the retina for near objects with and without optical instruments.

April 4, 2026

Magnification, Blur, and Ray State at the Retina for the General Eye with and without a General Optical Instrument in Front of It: 2. Near Objects

Key Points

To derive equations that describe rays, magnification, and blur at the retina for near objects with and without optical instruments.
Utilized linear optics principles from an accompanying paper
Developed general equations for various object distances
Analyzed light conditions at the retina for both naked eye and with optical aid
Presented equations that quantify blur, magnification, and ray state at the retina
Characterized size, shape, and orientation of rays from near objects
Provided a comprehensive framework for light analysis reaching the retina.

Abstract

ABSTRACT: Purpose. To derive general equations that characterize rays, magnification, and blur at the retina in the case of near object points for the naked eye and for the eye in combination with a general optical instrument. Method. The paper draws on results obtained via linear optics in an accompanying paper. Results. Equations are presented that completely characterize the state of rays at the retina from objects at any distance. They allow quantification of blur, size, shape, orientation, and magnification at the retina. Conclusion. The analysis provides a framework, complete in linear optics, for the analysis of light arriving at the retina of a general eye through any instrument from any object point.

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