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A MATRIX FORMULATION OF SPECTACLE MAGNIFICATION
Author(s) -
Keating Michael P.
Publication year - 1982
Publication title -
ophthalmic and physiological optics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.147
H-Index - 66
eISSN - 1475-1313
pISSN - 0275-5408
DOI - 10.1111/j.1475-1313.1982.tb00169.x
Subject(s) - magnification , spectacle , matrix (chemical analysis) , paraxial approximation , lens (geology) , mathematics , essential matrix , optics , physics , materials science , state transition matrix , symmetric matrix , law , quantum mechanics , political science , composite material , beam (structure) , eigenvalues and eigenvectors
The paraxial 4 × 4 astigmatic system matrix is used to derive a 2 × 2 blurred‐image magnification matrix, as well as a 2 × 2 spectacle magnification matrix. The 2 × 2 spectacle magnification matrix describes the meridional magnifications for any spherocyclidrical spectacle correction including a bitoric eikonic lens. The 2 × 2 spectacle magnification matrix can be approximated by the product of 2 × 2 power and shape factor matrices that have algebraic forms exactly analogous to the power and shape factor equations for spherical correcting lens.