Laser & Optoelectronics Progress, Volume. 58, Issue 9, 0922001(2021)
Descriptions of Rotationally Symmetric Aspheres and Analysis of Their Characteristics
Fig. 1. Cartesian coordinate system representation of aspheric surface
Fig. 2. Cross sections of reference quadric surfaces with different values of Kt
Fig. 3. Curves of aspheric surface additive polynomials based on even power series polynomials
Fig. 4. Positive and negative sign alternating curves of aspheric surface coefficient of additional polynomial based on even power series polynomial
Fig. 5. Diagram of deviation between aspheric surface and datum quadric
Fig. 6. Cartesian and polar coordinates of any point P in unit circle plane
Fig. 7. Curves of radial function
Fig. 8. Schematic of Qcon aspheric surface and reference quadric surface
Fig. 9. Curves of Qcon aspheric surface with additional polynomial orthogonal basis
Fig. 10. Schematic of Qbfs aspheric surface and best-fitting sphere
Fig. 11. Orthogonal basis curves of Qbfs aspheric surface with additional polynomial
Fig. 12. Slope function curves Qbfs aspheric surface with additional polynomial orthogonal basis
Fig. 13. First-order partial derivative curves of different additional polynomial pairs with respect to h. (a) Even power series polynomial; (b) Zernike polynomial; (c) Qcon polynomial; (d) Qbfs polynomial
Fig. 14. Lens structure drawing and spot diagram. (a) Lens structure of aspheric surface based on even power series polynomials; (b) spot diagram of aspheric surfaces based on even power series polynomials; (c) lens structure of aspheric surface based on Zernike polynomials; (d) spot diagram of aspheric surface based on Zernike polynomials
Fig. 15. Lens structure and spot diagram of Qcon aspheric surface based on Q-type polynomials. (a) Initial lens structure; (b) initial spot diagram; (c) lens structure to control deviation of RMS sag; (d) point diagram to control deviation of RMS sag
Fig. 16. Lens structure and spot diagram of Qbfs aspheric surface based on Q-type polynomials. (a) Initial lens structure; (b) initial spot diagram; (c) lens structure to control deviation of RMS sag; (d) point diagram to control deviation of RMS sag
Fig. 17. Third piece of plastic aspheric surface contrast. (a) Aspheric surface based on even power series polynomials; (b) aspheric surface based on Zernike polynomials; (c) Qcon aspheric surface based on Q-type polynomials; (d) Qcon aspheric surface based on Q-type polynomial for controlling RMS sag deviation; (e) Qbfs aspheric surface based on Q-type polynomials; (f) Qbfs aspheric surface based on Q-type polynomial to controlling RMS slope of aspheric surface
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Jinlin Liu, feihong Yu. Descriptions of Rotationally Symmetric Aspheres and Analysis of Their Characteristics[J]. Laser & Optoelectronics Progress, 2021, 58(9): 0922001
Category: Optical Design and Fabrication
Received: Aug. 28, 2020
Accepted: Sep. 18, 2020
Published Online: May. 19, 2021
The Author Email: Yu feihong (feihong@zju.edu.cn)