Affine diffractive beam dividers

Area of Science:

• Optics and Photonics
• Optical Engineering
• Diffractive Optics

Background:

• Diffractive optical elements (DOEs) are crucial for splitting light beams in applications like image processing and communications.
• Current design methods for DOEs are computationally intensive and require separate optimization for 1D and 2D beam splitting.

Purpose of the Study:

• To develop a generalized Fourier treatment for diffractive beam splitters.
• To introduce an efficient method for generating multiple diffractive beam splitters from a single design, preserving optical efficiency.

Main Methods:

• Generalization of Fourier analysis for diffractive beam splitting.
• Application of affine transformations to the transmission function of a designed diffractive optical element.

Main Results:

• A unified Fourier treatment for both 1D and 2D diffractive beam splitters was established.
• It was proven that affine transformations of a designed element's transmission function generate new dividers.
• These derived dividers maintain the original element's efficiency without further optimization.

Conclusions:

• The proposed method significantly reduces the design time and complexity for diffractive beam splitters.
• This approach offers a versatile way to create numerous high-efficiency diffractive beam splitters from a single optimized design.
• The findings pave the way for more accessible and rapid development of optical systems utilizing beam splitting.