VIS-NIR superachromatic triplet design with five-color correction for a broadband interferometer

Abstract

In general, k lenses with different materials can achieve at most ( k + 1 ) color correction ( k ≥ 2 ). A superachromat containing three lenses is designed to achieve five-color correction in the 600–1600 nm waveband, where the maximum chromatic focal shift is controlled within 1/100,000 of the focal length, achieving an almost unprecedented result. Conditions for lens power combination of three thin lenses in contact are first derived based on the Buchdahl dispersion equation; then a metric is introduced to verify the five-color correction, and a correction method is proposed to improve the refractive index fitting accuracy of the Buchdahl model from ∼ 10 − 3 to ∼ 10 − 7 . By traversing 197 ecofriendly glass materials in the CDGM glass library iteratively, 113 initial structures are obtained in only 61.75 s, from which the structure with the minimum chromatic focal shift is selected to be optimized with Opticstudio. By setting up required operands, the final structure being within the diffraction limit in a field of view of ± 0.05 ∘ is obtained within only 6 s, where the maximum longitudinal chromatic aberration is close to the maximum chromatic focal shift. We provide a complete theoretical basis and important guidance for designing broadband superachromats with ( k + 2 ) color correction using only k lenses and the smallest chromatic focal shift, and based on the theories, we have developed a broadband interferometer.