Reflective system of four mirrors has a small volume and good image quality, which is used popularly in space detection and airborne filed. Here the formula of reflective system with four mirrors is deducted based on the third-order aberration,secondly the initial configuration of reflective system is calculated with formula, then the data of initial configuration is optimized by optical software ZEMAX. The off-axis reflective system is obtained based on the coaxial reflective system, the freeform surface is also added to extend the view field, finally an off-axis reflective system with large view field is designed and obtained.
Convex aspheric mirror with a large aperture is difficult to test and manufacture, here the Offner compensating method is used to test the convex aspheric mirror. In order to manufacture and test a convex aspheric mirror with a aperture of 300mm diameter , the formula of compensating system is deducted based on the third-order aberration,the initial configuration of 0ffner optical system is calculated with formula, field lens is also added to balance the aberration, then the data of initial configuration is optimized by optical software ZEMAX, the final result of Offner optical system with single compensating lens is obtained after optimization. Finally Offner optical system with double compensating lens is obtained with the same principle.
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