The DOI matches its Crossref record.
Vector-beam solutions of Maxwell’s wave equation
Abstract
The Hermite-Gauss and Laguerre-Gauss modes are well-known beam solutions of the scalar Helmholtz equation in the paraxial limit. As such, they describe linearly polarized fields or single Cartesian components of vector fields. The vector wave equation admits, in the paraxial limit, of a family of localized Bessel-Gauss beam solutions that can describe the entire transverse electric field. Two recently reported solutions are members of this family of vector Bessel-Gauss beam modes.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Self-reconstruction of a distorted nondiffracting beam
Bouchal, Z., Wagner, J., & Chlup, M. (1998) · Optics Communications · doi:10.1016/s0030-4018(98)00085-6 · Cited by 531
Beckley, A. M., Brown, T. G., & Alonso, M. A. (2010) · Optics Express · doi:10.1364/oe.18.010777 · Cited by 502
Fabrication of Micro/Nano Structures on Metals by Femtosecond Laser Micromachining
Ahmmed, K., Grambow, C., & Kietzig, A.-M. (2014) · Micromachines · doi:10.3390/mi5041219 · Cited by 466
Polarization singularity indices in Gaussian laser beams
Freund, I. (2002) · Optics Communications · doi:10.1016/s0030-4018(01)01725-4 · Cited by 313
Metadata
- Authors
- Hall, D. G.
- Venue
- Optics Letters
- Publisher
- Optica Publishing Group
- Published
- 1996-01-01
- Volume
- 21
- Issue
- 1
- Pages
- 9
- ISSN
- 0146-9592 (ISSN-L)
- 1539-4794
- OpenAlex
- W2050359646
- Cited by
- 287
- References
- 0
- FWCI
- 3.36
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Vector-beam solutions of Maxwell’s wave equation. https://app.cochat.ai/papers/10.1364/ol.21.000009
- The paper
- Hall, D. G. (1996). Vector-beam solutions of Maxwell’s wave equation. Optics Letters. https://doi.org/10.1364/ol.21.000009
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
