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Ray matrix methods are used to study a paraxial Fourier transforming system which contains nonsymmetric optical elements. Two equalization conditions of Fourier transform are drived: matrix elements criteria and lens law, which may be used to distinguish a Fourier system and to determine Fourier trams-forming plane, Computing formulas for Fraunhofer diffraction region, Fourier transforming region and physical focus-depth region are obtained.Also image formation is given. As applying examples, two nonsymmetric systems are studied.
Ray matrix methods are used to study a paraxial Fourier transforming system which contains nonsymmetric optical elements. Two equalization conditions of Fourier transform are drived: matrix elements criteria and lens law, which may be used to distinguish a Fourier trams-forming plane, Computing formulas for Fraunhofer diffraction region, Fourier transforming region and physical focus-depth region are obtained. Als image formation is given. As applied examples, two nonsymmetric systems are studied.