Adaptive dispersion formula for index interpolation and chromatic aberration correction

Area of Science:

• Optical engineering
• Materials science

Background:

• Chromatic aberration correction is crucial for optical systems.
• Existing glass dispersion formulas like Sellmeier and Buchdahl have limitations.

Purpose of the Study:

• To introduce and validate a novel adaptive glass dispersion formula.
• To assess its performance against established formulas for chromatic aberration correction.

Main Methods:

• Developed an adaptive glass dispersion formula.
• Rationalized chromatic aberration correction per spectrum order.
• Compared the new formula with Sellmeier and Buchdahl using Schott glass catalogue data.

Main Results:

• The adaptive formula demonstrates superior convergence with minimal coefficients.
• Achieved high accuracy in predicting refractive index, with an average maximum error of 2.91 × 10(-6) in the visible band.
• The six-coefficient adaptive formula proved most accurate among tested variations.

Conclusions:

• The adaptive glass dispersion formula provides a more accurate and efficient method for optical design.
• This formula simplifies chromatic aberration correction, enhancing optical system performance.
• It represents a significant improvement over traditional dispersion models for optical glasses.