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Published on: April 11, 2025
Design method for small-f-number microlenses based on a finite thickness model in combination with the Yang-Gu
Christer Rydberg1, Ben-Yuan Gu, Guo-Zhen Yang
1Institute of Physics, Chinese Academy of Sciences, Beijing, China.
Summary
A new iterative design method improves optical element performance, especially for nondiffractive elements. This finite-thickness model offers superior results compared to conventional zero-thickness approaches.
Area of Science:
- Optics and Photonics
- Computational Electromagnetics
Background:
- Designing two-dimensional optical elements requires accurate modeling.
- Conventional methods often use a zero-thickness approximation, limiting performance, particularly for nondiffractive optical elements.
Purpose of the Study:
- To present a fast and general iterative design method for diffractive and nondiffractive optical elements.
- To evaluate the performance of optical elements designed using a finite-thickness model against the conventional zero-thickness model.
Main Methods:
- Developed an iterative design method incorporating a finite-thickness model.
- Integrated the Yang-Gu phase-retrieval algorithm into the design process.
- Employed rigorous electromagnetic analysis using the boundary element method for result appraisal.
Main Results:
- The presented finite-thickness method demonstrates superior performance over the conventional zero-thickness model.
- Calculated transverse-intensity distributions, diffraction efficiency, and spot size at the focusing plane.
- The superiority is particularly pronounced for nondiffractive optical elements.
Conclusions:
- The proposed iterative design method offers a significant advancement for creating high-performance optical elements.
- The finite-thickness model is crucial for optimizing nondiffractive optical elements.
- This method provides a robust and efficient approach for optical element design.

