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Formal Quantum Theory of Light Rays
Abstract
It is shown that the relation between ray optics and wave optics is analogous to the relation between the classical mechanics of a point particle and quantum mechanics. The time coordinate of quantum mechanics has to be replaced with a length coordinate and the light wavelength λ takes the place of Planck’s constant h. A well-known result of quantum mechanics is that it coincides with classical mechanics in the limit h → 0. Correspondingly, wave and ray optics must coincide in the limit λ → 0.
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Citations
Cited by
Quantum-optical analogies using photonic structures
Longhi, S. (2009) · Laser & Photonics Reviews · doi:10.1002/lpor.200810055 · Cited by 718
Ray techniques in electromagnetics
Deschamps, G. A. (1972) · Proceedings of the IEEE · doi:10.1109/proc.1972.8850 · Cited by 478
Twisted Gaussian Schell-model beams
Simon, R., & Mukunda, N. (1993) · Journal of the Optical Society of America A · doi:10.1364/josaa.10.000095 · Cited by 357
Duality between spatial and angular shift in optical reflection
Aiello, A., Merano, M., & Woerdman, J. P. (2009) · Physical Review A · doi:10.1103/physreva.80.061801 · Cited by 124
Metadata
- Authors
- Gloge, D., & Marcuse, D.
- Venue
- Journal of the Optical Society of America
- Publisher
- Optica Publishing Group
- Published
- 1969-12-01
- Volume
- 59
- Issue
- 12
- Pages
- 1629
- ISSN
- 0030-3941 (ISSN-L)
- OpenAlex
- W2098714700
- Cited by
- 169
- References
- 0
- FWCI
- 1.98
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Formal Quantum Theory of Light Rays. https://app.cochat.ai/papers/10.1364/josa.59.001629
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- Gloge, D., & Marcuse, D. (1969). Formal Quantum Theory of Light Rays. Journal of the Optical Society of America. https://doi.org/10.1364/josa.59.001629
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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.
