Design of random and sparse metalens with matrix pencil method

Area of Science:

• Optics and Photonics
• Metamaterials
• Electromagnetics

Background:

• Metalenses offer miniaturized optical components.
• Current random metalens designs often compromise efficiency.
• Controlling meta-atom phase and position is crucial for performance.

Purpose of the Study:

• To introduce a rigorous matrix pencil method for designing random metalenses.
• To optimize both position and phase of meta-atoms for enhanced performance.
• To demonstrate the effectiveness of the method for all-dielectric metalenses.

Main Methods:

• Developed a matrix pencil algorithm for rigorous design of random metalenses.
• Simultaneously optimized meta-atom positions and phases.
• Fabricated and tested 1D and 2D all-dielectric metalenses operating at 220 GHz.

Main Results:

• Achieved minimum reduction in focusing efficiency compared to periodic metalenses.
• Demonstrated significantly higher efficiency than previously reported random metalenses.
• Ensured polarization-independent operation of the designed random metalenses.

Conclusions:

• The proposed matrix pencil method enables high-efficiency, polarization-independent random metalenses.
• This rigorous design approach overcomes limitations of standard random synthesis algorithms.
• The method opens new avenues for advanced metasurface devices with increased degrees of freedom for information multiplexing.