The general transformation properties of aberrations in cylindrically symmetric optical systems are described using matrix analysis. The aberrations in an optical system can change with any change in the position of the aperture stop, or when the system operates at new conjugates even if the relative positions of the refractive surfaces and their powers are fixed. Expanding the wavefront aberration function in terms of aberration coefficients allows the new aberration coefficients to be written as linear combinations of the old aberration coefficients for every order. A pattern is established by which higher-order aberration transformations can be calculated.
© 2011 Optical Society of America
Original Manuscript: March 31, 2011
Revised Manuscript: June 13, 2011
Manuscript Accepted: June 15, 2011
Published: August 4, 2011
Lloyd W. Hillman, Raju A. Narayankar, Kiranmayee Kilaru, Kevin D. Spradley, and Don A. Gregory, "Transformations of aberrations in optical systems," J. Opt. Soc. Am. A 28, 1820-1827 (2011)