COSY INFINITY and its use for singlepass and multipass systems.

Area of Science:

• Computational optics
• Aberration theory
• Particle optics

Background:

• Single-pass and multipass optical systems present distinct challenges in aberration control.
• Aberrations in multipass systems can cancel out or build up, requiring specialized analysis.
• Accurate modeling of electromagnetic fields is crucial for understanding optical element behavior.

Purpose of the Study:

• To present computational treatment for single-pass and multipass optical systems.
• To detail methods for analyzing and controlling aberrations and persistent effects in multipass systems.
• To demonstrate the application of Differential Algebraic (DA) methods for field computation and system analysis.

Main Methods:

• Normal form methods for separating transient and persistent effects.
• Symplectic integration and Differential Algebraic (DA) methods using COSY INFINITY.
• Automatic computation of Maxwellian 3D fields from limited or measured data.

Main Results:

• DA methods compute aberrations and normal forms of arbitrary order.
• Fully Maxwellian 3D fields can be computed from midplane/on-axis data or measurements, even with noise.
• Minimally invasive symplectification schemes are constructible for multipass systems.

Conclusions:

• Normal form methods and DA tools provide effective analysis and control for complex optical systems.
• Computational tools enable accurate field reconstruction and aberration analysis in various optical setups.
• Symplectic metrics facilitate the study and optimization of multipass optical systems.