Optical design of freeform two-mirror beam-shaping systems

Area of Science:

• Optics and Photonics
• Optical Engineering
• Geometrical Optics

Background:

• Laser beam shaping is crucial for various applications.
• Existing methods often limit designs to symmetric beam profiles.
• Designing free-form optical surfaces for arbitrary beam shaping remains challenging.

Purpose of the Study:

• To develop a rigorous design methodology for two-mirror optical systems.
• To enable prescribed reshaping of laser beam irradiance distributions.
• To accommodate non-symmetric beam profiles and free-form mirror surfaces.

Main Methods:

• Utilized the geometrical optics approximation for system analysis.
• Derived general design equations for two-mirror configurations.
• Developed an approach applicable to arbitrary radiance profiles and beam cross-sections.

Main Results:

• Generated design equations for two-mirror systems capable of arbitrary beam reshaping.
• The method produces free-form mirrors without prior constraints on their shape.
• Identified two distinct design solutions for identical input data, offering fabrication choices.

Conclusions:

• The presented design approach is versatile, handling non-symmetric laser beam profiles.
• Two unique optical system designs are achievable for the same beam-shaping task.
• The availability of designs with convex and concave mirrors simplifies practical fabrication of aspherical surfaces.