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Calculation of refractive indices using Buchdahl's chromatic coordinate
1Lockheed Palo Alto Research Laboratory, 3251 Hanover Street, Palo Alto, California 94304, USA.
Applied Optics
|April 15, 1983
Summary
This study analyzed the Buchdahl glass model for 813 optical glasses. The Buchdahl model demonstrates high accuracy, making it suitable for theoretical studies of optical systems.
Area of Science:
- Optical Engineering
- Materials Science
Background:
- The Buchdahl glass model is a critical tool for characterizing optical materials.
- Accurate modeling of glass properties is essential for designing advanced optical systems.
Purpose of the Study:
- To perform a comprehensive error analysis of the Buchdahl glass model.
- To evaluate the model's performance across a wide range of optical glasses and spectral regions.
Main Methods:
- Error analysis was conducted on 813 glasses from five manufacturers.
- Quadratic and cubic models were assessed for their fitting accuracy and error margins.
Main Results:
- The quadratic Buchdahl model achieved a standard deviation of 0.00002 and a maximum absolute error of 0.0001 in the visible spectrum.
- The cubic model showed a standard deviation of 0.00005 and a maximum absolute error of 0.00026 across the full spectral range (0.365–1.014 µm).
- Fitting coefficients, standard deviations, and maximum errors for the quadratic model are provided in a comprehensive table.
Conclusions:
- The Buchdahl model exhibits high precision and is well-suited for theoretical investigations of refracting optical systems.
- The provided data facilitates the selection and application of the Buchdahl model for specific optical design needs.
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