Variational Principle for Optical Phase

2025/04/15 by A. Yu. Okulov, Okulov, A. Yu. · 1 voice
Engineering · Physics and Astronomy · #Advanced optical system design #FOS: Physical sciences #Orbital Angular Momentum in Optics #Pattern Formation and Solitons (nlin.PS) #Quantum and Classical Electrodynamics #nlin.PS

paper · pdf · doi:10.48550/arxiv.2504.11584

openalex publication_date 2025/04/15 · arxiv published 2025/04/15 · openalex created_date 2025/10/10 · arxiv updated 2025/11/30 · openalex updated_date 2026/07/28

Abstract

The problem of laser beam concentration in a focal spot via wavefront variations is formulated as a maximization of the beam propagation functional defined as the light power passing through aperture of an arbitrary shape located in the far field. Variational principle provides the necessary and sufficient conditions for at least the local maximum of the beam propagation functional. The wavefront shape is obtained as an exact solution of nonlinear integral equation.

Citations

• Structured light entities, chaos and nonlocal maps
• Structured light entities, chaos and nonlocal maps
• Soliton laser: Geometry and stability
• Pattern formation outside of equilibrium
• Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes
• Analogy between higher instabilities in fluids and lasers
• Deterministic Nonperiodic Flow
• Variational Principles for Scattering Processes. I

Discussions

• A. Yu. Okulov: Variational Principle for Optical Phase https://arxiv.org/abs/2504.11584 https://arxiv.org/pdf/2504.11584 https://arxiv.org/html/2504.11584 [bsky, 0 points, 1 comments]

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