Abstract
Chromatic differences in power, refractive compensation, position and
magnification have been described in the literature for Gaussian eyes.
Aim: This article explores these definitions and defines chromatic properties for eyes that have
astigmatic and decentred or tilted elements.
Setting: Linear optics.
Methods: The optical model is linear optics and makes use of the ray transference T.
Results: Results are presented as either 2 × 2 matrices or 2 × 1 vectors. The dependence of the
chromatic properties on the position of an object and the limiting aperture is explored and
results are presented as independent of, or dependent on, object and aperture position.
Apertures undergo both longitudinal and transverse shifts in position. The results are general
and apertures may include pupils or pinholes, either surgically inserted inside the eye or held
in front of the eye. Numerical examples are provided for Le Grand’s four-surface eye and an
arbitrary astigmatic heterocentric four-surface eye.