Construction, characteristics, and constraints of accelerating beams based on caustic design

Area of Science:

• Optics and Photonics
• Wavefront Engineering
• Beam Propagation

Background:

• Accelerating beams offer unique light propagation along curved trajectories.
• Caustic methods provide a framework for designing such beams.
• Understanding the underlying principles and limitations is crucial for their application.

Purpose of the Study:

• To fully elaborate the construction and characteristics of caustic-designed accelerating beams.
• To identify and explain the hidden constraints associated with these design methods.
• To clarify the effectiveness and applicability of caustic methods for beam design.

Main Methods:

• Detailed mathematical construction of accelerating beams using caustic design.
• Analysis of beam intensity and phase distributions.
• Light-ray tracing to investigate design constraints under various conditions.

Main Results:

• Accelerating beams possess both curved intensity profiles and linear phase distributions along the caustic.
• The phase distribution is proportional to the curved path length, mimicking movement.
• Identified specific constraints of caustic design applicable to different scenarios.

Conclusions:

• Caustic design for accelerating beams results in predictable intensity and phase behaviors.
• The study clarifies the physics and limitations, enabling more effective beam design.
• Facilitates the development of tailored accelerating beams for diverse optical applications.