Abstract
Abstract:
Many first-order optical properties depend on chromatic dispersion and, hence, on frequency of light. The purpose of this theoretical study is to investigate the dependence of first-order optical properties of model eyes on frequency. In this study we are purposefully not concerned with subjective measurements. Instead, definitions are obtained that are general for optical systems that have astigmatic and decentred elements, and then simplified for Gaussian systems. In linear optics the transference is a matrix that is a complete representation of the effects of the system on a ray traversing it. Almost all of the familiar optical properties of the system can be obtained from the transference. From the transference S we obtain the four fundamental properties namely dilation A, disjugacy B, divergence C and divarication D, submatrices of S. Transferences are symplectic and do not define a linear space. Linear spaces are amenable to statistical analyses and therefore a number of mappings to linear spaces are investigated, including the Cayley and logarithmic mappings to Hamiltonian space and the four characteristic matrices. In each case, the individual entries of the transform are studied for their dependence on frequency and then the chromatic dependence relationship between the entries is compared graphically.
M.Phil. (Optometry)