The DOI matches its Crossref record.
Analysis of curved optical waveguides by conformal transformation
Abstract
The method of conformal transformations is applied to the analysis of waveguide bends. Equivalent structures are obtained that permit solution by traditional methods of optical waveguide analysis. Losses associated with both curvature and with the transition from straight to curved guides are discussed and simple first-order expressions that describe the dependence of the losses on waveguide parameters are derived.
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
Ultra-low-loss high-aspect-ratio Si_3N_4 waveguides
Bauters, J. F., Heck, M. J. R., John, D., Dai, D., Tien, M.-C., Barton, J. S., Leinse, A., Heideman, R. G., Blumenthal, D. J., & Bowers, J. E. (2011) · Optics Express · doi:10.1364/oe.19.003163 · Cited by 492
“To simulate bend radiation loss, the curved waveguide is transformed into an equivalent straight waveguide through a conformal mapping of the refractive index [19 ].”
MethodHollow-core conjoined-tube negative-curvature fibre with ultralow loss
Gao, S.-F., Wang, Y.-Y., Ding, W., Jiang, D.-L., Gu, S., Zhang, X., & Wang, P. (2018) · Nature Communications · doi:10.1038/s41467-018-05225-1 · Cited by 396
Bloch Oscillations in an Array of Curved Optical Waveguides
Lenz, G., Talanina, I., & de Sterke, C. M. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.963 · Cited by 213
Connecting Silicon Photonic Circuits to Multicore Fibers by Photonic Wire Bonding
Lindenmann, N., Dottermusch, S., Goedecke, M. L., Hoose, T., Billah, M. R., Onanuga, T. P., Hofmann, A., Freude, W., & Koos, C. (2015) · Journal of Lightwave Technology · doi:10.1109/jlt.2014.2373051 · Cited by 159
Low-loss Ti:LiNbO3waveguide bends at λ = 1.3 µm
Minford, W., Korotky, S., & Alferness, R. (1982) · IEEE Journal of Quantum Electronics · doi:10.1109/jqe.1982.1071389 · Cited by 118
Metadata
- Authors
- Heiblum, M., & Harris, J.
- Venue
- IEEE Journal of Quantum Electronics
- Published
- 1975-02
- Volume
- 11
- Issue
- 2
- Pages
- 75-83
- ISSN
- 0018-9197 (ISSN-L)
- 1558-1713
- OpenAlex
- W2127499937
- Cited by
- 735
- References
- 0
- FWCI
- 11.28
- 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: Analysis of curved optical waveguides by conformal transformation. https://app.cochat.ai/papers/10.1109/jqe.1975.1068563
- The paper
- Heiblum, M., & Harris, J. (1975). Analysis of curved optical waveguides by conformal transformation. IEEE Journal of Quantum Electronics. https://doi.org/10.1109/jqe.1975.1068563
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.
