This thesis deals with the results obtained by the research on axially symmetric four-spherical mirror system and the computer aided optical design(optical CAD) and analyses.
In the investigations of the mirror system, the first order Seidel aberrations of two-mirror system are analytically derived and their characteristics are analyzed. Aplanatic conditions and the first order Seidel aberrations of fourspherical mirror system are also derived and from the extensive analyses of the aplanatic conditions, the four-spherical mirror system which satisfies the conditions are found to be Cassegrainian-inverse Cassegrainian, Cassegrainian-Cassegrainian relay, Cassegrainian-inverse Cassegrainian relay, Gregorian-Cassegrainian, Gregorian-inverse Cassegrainian, Gregorian-Cassegrainian relay and Gregorian-inverse Cassegrainian relay system. Four-spherical mirror system corrected for three Seidel aberrations are numerically investigated. They are anastigmatic aplanat system, flat field aplanat system and zero distortion aplanat system. The anastigmatic aplanat system is a Cassegrainian-inverse Cassegrainian relay system The flat field aplanat is similar to the anastigmatic aplanat in appearance, but the rear inverse Cassegrainian of the system is larger than that of the anastigmatic aplanat system. The zero distortion aplanat system is a Gregorian-inverse Cassegrainian system. In the zero distortion aplanat system, the third mirror is located between the first mirror and the second mirror of the system. Hence the system is folded. In the spot diagram analysis, if we make the anastigmatic aplanat system to have 20cm in focal length at F/2, the spot size of the system is approximately 0.2mrad, which is a diffraction limited performance for a far infrared imagery. The spot size of the flat field aplanat and zero distortion aplanat system are all 0.3mrad at the same condition of the anastigmatic aplanat system, which is also a nearly diffraction limited performance.
In the study for computer aided optical system analysis and design, the routines for the first and second order Seidel aberration, finite ray aberration and wavefront aberration analysis are developed. The routines for calculation of optical transfer function and optimization of optical system are also developed. It is found satisfactory upon comparing optical transfer function with the numerical data of a standard lens supplied by SIRA.
Also a laser scanning system is designed and its characteristics of the first and second order Seidel aberrations and finite ray aberrations are analyzed. Typical fθ lens and arcsinθ lens system are obtained and their aberrations are corrected to the minimum. These results are presented as the addenda.