Gaussian optics

Gaussian optics

Geometrical Optics Principles

Published in Daniel Malacara-Hernández, Zacarías Malacara-Hernández, Handbook of OPTICAL DESIGN, 2017

Daniel Malacara-Hernández, Zacarías Malacara-Hernández

This relation is exact, but now we will develop the paraxial approximations. A paraxial ray approximation is taken by substituting the trigonometric functions sin U and sin I by the angles I and U in radians. These approximations are valid without a significant loss in precision if the angles I and U are very small. As explained before, first-order or Gaussian optics is the branch of geometrical optics that uses only paraxial rays. The equations for first-order optics are obtained by replacing in the exact equations the following: () sin I⇒i sin I′⇒i′sin U⇒usin U′⇒u′L⇒lL′⇒l′

Vision though afocal instruments: generalized magnification and eye-instrument interaction

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Journal Information

Published in Journal of Modern Optics, 2018

William F. Harris, Tanya Evans

Equation (16) is the generalization in linear optics of the scalar equation in Gaussian optics, Equation (2), and is the (generalized angular) magnification of instrument G. For G placed in front of E we need to put otherwise we are changing the power of the first surface of E and, hence, the transference of E. So Equation (17) reduces simply to

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Geometrical Optics Principles

Vision though afocal instruments: generalized magnification and eye-instrument interaction