Integrated modeling method for initial structure of multi-reflector off-axis optical system

Abstract

The invention discloses an integrated modeling method for an initial structure of a multi-reflector off-axis optical system. The method comprises the steps of: firstly, establishing a space rectangular coordinate system, and establishing a uniform surface expression of a coaxial structure for each reflector based on a paraxial optical theory; secondly, acquiring a mirror surface uniform expression of an off-axis structure after rotation and displacement by combining a rotation matrix and a displacement matrix; thirdly, constructing an inter-mirror relation expression with an arbitrary mirror as the benchmark; and finally carrying out modeling on an imaging light path of an off-axis reflection system, establishing a target function with the height difference of an intersection point of emergent light and an image plane as a constraint, and acquiring surface shape coefficients of k surface reflectors. According to the integrated modeling method, complex free-form surface modeling is ingeniously simplified into quadratic curve modeling capable of integrally expressing the pose and the relative position relation in combination with the conversion matrix, establishment of an integrated model of the reflector surface shape of any spatial pose is achieved, and the method is suitable for design of an off-axis system of any multi-face reflector.

Description

technical field [0001] The invention relates to the technical field of optical system design, in particular to an integrated modeling method for the initial structure of a multi-reflection off-axis optical system. Background technique [0002] At present, in the design of multi-reflection off-axis optical system, the most commonly used is the patent library matching design. This design method is to find an off-axis reflection system in the optical patent library that has the same number of mirrors as the design target and has similar focal length or entrance pupil diameter, relying on the experience of the optical designer to gradually adjust the system on the optical simulation software The optical parameters of the middle mirror, and then optimize the optical performance of the system as a whole, so that the structure of the multi-mirror off-axis optical system is getting closer and closer to the design goal. [0003] For off-axis reflective systems, the initial structure...

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Problems solved by technology

[0003] For off-axis reflective systems, the initial structures available in the optical patent library are very limited, so after finding an off-axis reflective system with the same number of mirrors as the design target, it is very likely to find that the optical system is very different from the design target requirements, And had to give up; even if a system with the same number of mirrors as the design target and similar focal length or entrance pupil is found in the patent library, in order to make the system fully meet the requirements of the design target, it is still necessary to continuously adjust the surface shape and pose of the mirror. Continuously optimize the optical performance of the system. This adjustment and optimization process requires high time costs and is prone to failure

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