Usually, a polynomial expansion of the deviation from a conic equation was used for describing a rotationally symmetric aspheric surface, which is also the data basis for the technology formulating of subsequent fabricating and testing. The degree of the surface asphericity is mathematically determined. But the parameters of the expansion provide little information about the aspheric shape measurement, even small differences of which can result in dramatic differences of the difficulty of fabricating and testing. For the process of aspheric surface designing, fabricating and testing in an optical system are separately. The testing method originates from the aspheric surface geometry, but the shape testing result can’t be fed back to the optical design. Based on the principle of detection-oriented, a new type of aspheric surface is proposed and characterized by the optical path parameters of its partial null testing. When a new aspheric surface was optimized in the design of an optical system, the measurement optical path of the surface was achieved at the meanwhile. A three-band fusion imaging system is designed with two mirrors of the partial null aspheric surface type. The results show that the imaging quality can meet the resolution of detectors in each band. The PV values of emergent wavefronts of the partial null detection optical paths for each mirror are about 7λ and 12λ, respectively, and the distributions of which are uniform and detectable.
Dispersive lens is an important component of chromatic confocal displacement sensor, and the high axial dispersion linearity is the key to its performance. At present, the design of dispersive lens usually adopts multi-configuration to analyze the imaging quality of the image planes at different wavelengths, and the realization is relatively complicated. The design of quantitative inverse dispersive model was introduced, and the multi-configuration that control the axial linear dispersion were implicit in the single configuration, so that the reference plane for image quality evaluation was unified. The design principle of the quantitative inverse dispersive objective lens was explained, and a linear dispersive lens was designed using ZEMAX optical design software. The lens adopted a symmetrical structure about the diaphragm. In the 580-780nm working range, the dispersion range is 0.38mm. The least square method was used to linear fit the axial dispersion and wavelength, and the linear determination coefficient R2 is 0.9998. The measured linearity is excellent.
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