Paraxial Optics for Axis-Symmetrical Systems
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Conventional paraxial optics, which is sometimes known as Gaussian optics or first-order optics, uses the \( 2 \times 2 \) matrices as first estimates of meridional rays in early design stages of 2-D axis-symmetrical optical systems [1, 2]. In order to extend conventional paraxial optics for 3-D systems containing prisms, we have presented the \( 6 \times 6 \) matrices obtained from the first-order Taylor series expansion to approximate skew-ray tracing equations . We shall begin this chapter by modifying the \( 6 \times 6 \) matrices of  to be applicable only to axis symmetrical systems. The obtained matrices are used to determine the cardinal points for an optical system. The imaging equations for multi-surface system are derived next.
KeywordsOptical Axis Focal Length Principal Plane Thin Lens Aspherical Surface
- 1.A. Gerrard, J.M. Burch, Introduction to Matrix Methods in Optics (Wiley, New York, 1975)Google Scholar