We study the formation of caustic surfaces produced by a concave conic mirror considering a point source placed at arbitrary position along the optical axis. Using the caustic formula and a paraxial approximation, we derive analytic expressions to evaluate the spherical aberration at the third order. A formula to reduce this aberration at any order is provided, which gives the condition for stigmatic points. Furthermore, we apply the formulas to evaluate the circle of least confusion for a concave conic mirror as a function of all parameters involved in the process of reflection.
© 2012 Optical Society of America
Original Manuscript: June 21, 2012
Manuscript Accepted: July 17, 2012
Published: August 29, 2012
Samuel Maca-García, Maximino Avendaño-Alejo, and Luis Castañeda, "Caustics in a meridional plane produced by concave conic mirrors," J. Opt. Soc. Am. A 29, 1977-1985 (2012)