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Rigorous electromagnetic design of finite-aperture diffractive optical elements by use of an iterative optimization
Feng Di1, Yan Yingbai, Jin Guofan
1State Key Laboratory of Precision Measurement Technology and Instruments, Department of Precision Instruments, Tsinghua University, Beijing, 100084, China. fengd@post.pim.tsinghua.edu.cn
Summary
This study introduces a rigorous electromagnetic design method for diffractive optical elements (DOEs) using an iterative optimization algorithm and the finite-difference time-domain method. The approach ensures accurate design without scalar approximations, demonstrating competence for optical element fabrication.
Area of Science:
- Optics and Photonics
- Computational Electromagnetics
Background:
- Diffractive optical elements (DOEs) are crucial for advanced optical systems.
- Traditional design methods often rely on scalar approximations, limiting accuracy.
- Rigorous electromagnetic design is needed for high-performance DOEs.
Purpose of the Study:
- To develop a rigorous electromagnetic design methodology for finite-aperture DOEs.
- To implement an iterative optimization algorithm coupled with the finite-difference time-domain (FDTD) method.
- To validate the design approach for practical optical element fabrication.
Main Methods:
- Finite-difference time-domain (FDTD) method for rigorous electromagnetic simulation.
- Iterative optimization algorithm for DOE design.
- Angular spectrum propagation method for wave propagation analysis.
Main Results:
- The proposed algorithm achieves fast convergence and good design quality without scalar approximations.
- Successfully designed a diffractive cylindrical lens and a 1-to-2 beam fanner.
- Evaluated DOE performance with discrete profiles, addressing fabrication challenges.
Conclusions:
- The iterative optimization algorithm combined with FDTD provides a valid and competent method for rigorous DOE design.
- The approach offers accurate numerical and graphical results with reasonable computational cost.
- Demonstrated applicability to fabricating DOEs with discrete profiles.