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Beyond Gaussians-diffraction of complex light : tutorial

delete2026-05-01
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PRE
AI
C
Crumpton, Travis M.
L
Luat T. Vuong *
DOI:10.1364/josaa.587201delete
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Abstract

Abstract

En 中文
Complex light can evolve radically as a function of propagation simply as a consequence of linear diffraction. Here, we characterize beam profiles in terms of their Dirichlet energy UD, which scales with the asymptotic rate of diffraction, i.e., the rate of expansion of the beam mode field radius. This metric is translation-invariant, structureinformed, and constant as a beam propagates through vacuum. The diffraction length of structured light scales as Ldf proportional to his =root UD. We provide examples with Laguerre-Gaussian vortex beams and fractal multi-beams using non-dimensional units, which are vital for self-consistent analyses of complex light. (c) 2026 Optica Publishing Group. All rights, including for text and data mining (TDM), Artificial Intelligence (AI) training, and similar technologies, are reserved.
Keywords:
BEAM-PROPAGATION
DIVERGENCE
SYSTEM

Journal

J
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION
IF:
0
Papers:
121
Citations:
0

Organization

University of California System cover
University of California System
Scholars:
37.5W
Papers: 33.7W
Citations: 6.6K