In this paper we have completed an error analysis of the Buchdahl glass model for 813 glasses available from five manufacturers. A quadratic model has a standard deviation of 0.00002 and a maximum absolute error of 0.0001 in the visible spectral region. A cubic model has a standard deviation of 0.00005 and a maximum absolute error of 0.00026 over the full spectral region from 0.365 to 1.014 microm. A table giving the Buchdahl fitting coefficients for all the glasses, as well as the standard deviation and maximum error for each glass, is included for the quadratic model. The results indicate that the Buchdahl model is ideally suited for theoretical studies of refracting optical systems.
Designs of apochromatic and superachromatic Gauss objectives utilizing only two optical materials have been described recently.1 These earlier designs were developed with moderate values of focal ratio (f/4) and fields of view (12–20°) and have reasonably excellent optical performance over wavelength bands covering the visible and near infrared regions of the electromagnetic spectrum. In this paper, design derivatives of the earlier work are described and design configuration of apochromatic Gauss lenses at f/2 are presented. The performance evaluation of these designs at 50-mm length, f/2, and 20° field of view without vignetting are shown.
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