Method for analysis of wavelength dependence of aberrations and image quality for axial object point

Our work deals with the influence of light wavelength on values of wave aberration coefficients and image quality for an axial object point, and a technique for calculation of the dependence of aberration coefficients on the wavelength is proposed. Moreover, the formula for calculation of the monochromatic and polychromatic Strehl definition using chromatic aberration coefficients is derived and the tolerance limits are given. The proposed method of determination of chromatic aberration coefficients is shown for the case of the imaging of an axial object point by a rotationally symmetric optical system. Relations that enable calculation of chromatic aberration coefficients are derived. Finally, the proposed method is applied on an example of an achromatic doublet, and the results of calculations are compared with the values obtained using commercial optical design software (ZEMAX, OSLO).