Abstract
This paper presents a method for choosing a doublet design for the correction of longitudinal chromatic, spherical and coma aberrations. A secondary dispersion formula is utilized to sort out minimal longitudinal chromatic aberrations for the doublet. The program is developed with the Matlab software. An optimal doublet design to efficiently reduce both spherical aberration and coma will incorporate glass combination with a sufficiently large difference in the V-numbers and small powers. We succeed in obtaining an optimal doublet design with the proposed method.
Highlights
Doublets are suitable for many applications where the field angle is limited to a few degrees
Sun has proposed an improved optimization method for doublet design using the shape factor of the third-order aberrations of a thick lens to compensate for high-order aberrations [4]
For a simple expression of the third-order aberrations, the formula can be written as a function of shape factors, while SI and SII denote the values of the third-order spherical aberration and the coma
Summary
Doublets are suitable for many applications where the field angle is limited to a few degrees. Sun has proposed an improved optimization method for doublet design using the shape factor of the third-order aberrations of a thick lens to compensate for high-order aberrations [4]. We use the equation for achromaticity based on a thin lens to determine what type of glass to use [5,6] after which we only need consider the spherical aberration and the coma of the Seidel aberration (for a thin lens). This is because the other aberrations are small enough that their effect on the field angle is only a few degrees. #101504 - $15.00 USD Received 12 Sep 2008; revised 10 Jan 2009; accepted 16 Jan 2009; published 22 Jan 2009
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