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Quantifiable example of complementarity relation between optical orbital angular momentum and angular position

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Hsiao-Chih Huang

Optics · Submitted 25 Apr 2018

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim This light beam offers a quantifiable example of a complementarity relation between the observers of optical OAM and AP, which are the OAM noneigenvalue and intensity AP variation, respectively.

how it is stated · asserted 1.00 read the record →

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arXiv ID1804.09437 (version 2)
Pith IDDRDUARRY, Pith's permanent record of this paper and its review
CitationHsiao-Chih Huang. "Quantifiable example of complementarity relation between optical orbital angular momentum and angular position." arXiv:1804.09437 (2018). https://pith.science/paper/DRDUARRY
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,745 input tokens.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.09 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.20 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

A light beam with phase singularity (PS) characterized with azimuthally symmetric angular positions (APs) can be constructed by the rotationally symmetric superposition of n (n is N) fractional vortex light beams with identical charges. The profile of this light beam deforms after propagation owing to its orbital angular momentum (OAM) noneigenvalue, and the deformation degree can be evaluated by the degree of phase dislocation associated with the PS. The expectation value of the mean deviation of its OAM from its characteristic charge value and the variation of the degree of phase dislocation obey a proportional relation. This light beam offers a quantifiable example of a complementarity relation between the observers of optical OAM and AP, which are the OAM noneigenvalue and intensity AP variation, respectively.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 A light beam with phase singularity (PS) characterized with azimuthally symmetric angular positions (APs) can be constructed by the rotationally symmetric superposition of n (n is N) fractional vortex light beams with identical charges. contribution 0.68 0.55 0.06 asserted 0.98
s1 The profile of this light beam deforms after propagation owing to its orbital angular momentum (OAM) noneigenvalue, and the deformation degree can be evaluated by the degree of phase dislocation associated with the PS. result 0.91 0.61 0.07 asserted 1.00
s2 The expectation value of the mean deviation of its OAM from its characteristic charge value and the variation of the degree of phase dislocation obey a proportional relation. result 0.99 0.75 0.33 asserted 1.00
s3 This light beam offers a quantifiable example of a complementarity relation between the observers of optical OAM and AP, which are the OAM noneigenvalue and intensity AP variation, respectively. interpretation 0.93 0.78 0.89 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.97 · evidence from proof or derivation 0.84.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

A light beam with phase singularity (PS) characterized with azimuthally symmetric angular positions (APs) can be constructed by the rotationally symmetric superposition of n (n is N) fractional vortex light beams with identical charges. The profile of this light beam deforms after propagation owing to its orbital angular momentum (OAM) noneigenvalue, and the deformation degree can be evaluated by the degree of phase dislocation associated with the PS. The expectation value of the mean deviation of its OAM from its characteristic charge value and the variation of the degree of phase dislocation obey a proportional relation. This light beam offers a quantifiable example of a complementarity relation between the observers of optical OAM and AP, which are the OAM noneigenvalue and intensity AP variation, respectively.

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