Electromagnetic optimization of multilevel diffractive elements by use of the wavelet transform

Area of Science:

• Optics and Photonics
• Electromagnetics
• Computational Design

Background:

• Diffractive optical elements (DOEs) are crucial for manipulating light.
• Designing complex DOEs, especially multilevel ones, presents significant computational challenges.
• Existing methods may lack efficiency in handling both local and global design parameters.

Purpose of the Study:

• To develop a novel optimization algorithm for designing multilevel diffractive optical elements.
• To enable efficient parameterization of DOEs using wavelet transforms.
• To demonstrate the algorithm's capability for both local and global optimization within a unified framework.

Main Methods:

• The proposed algorithm utilizes the wavelet transform for DOE parameterization.
• It employs a multiresolution basis represented by a set of coefficients.
• The method integrates local and global optimization strategies into a single process.

Main Results:

• Successfully optimized a two-dimensional millimeter-wave diffractive lens.
• Demonstrated performance over a 10% bandwidth.
• Validated the algorithm's effectiveness in electromagnetic design.

Conclusions:

• The developed algorithm offers an efficient approach for designing multilevel DOEs.
• Wavelet transform-based parameterization provides a powerful tool for optical element design.
• The method is applicable to various electromagnetic applications requiring precise optical control.