The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Fast-Fourier-transform based numerical integration method for the Rayleigh-Sommerfeld diffraction formula
Open accessAbstract
The numerical calculation of the Rayleigh-Sommerfeld diffraction integral is investigated. The implementation of a fast-Fourier-transform (FFT) based direct integration (FFT-DI) method is presented, and Simpson's rule is used to improve the calculation accuracy. The sampling interval, the size of the computation window, and their influence on numerical accuracy and on computational complexity are discussed for the FFT-DI and the FFT-based angular spectrum (FFT-AS) methods. The performance of the FFT-DI method is verified by numerical simulation and compared with that of the FFT-AS method.
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Cites
The DFT: An Owner's Manual for the Discrete Fourier Transform
Strawderman, R., Briggs, W. L., & Henson, V. E. (1999) · Journal of the American Statistical Association · doi:10.2307/2669724 · Cited by 235
Comparison of the Kirchhoff and the Rayleigh–Sommerfeld Theories of Diffraction at an Aperture
Wolf, E., & Marchand, E. W. (1964) · Journal of the Optical Society of America · doi:10.1364/josa.54.000587 · Cited by 94
Diffraction calculations in the near field and the validity of the Fresnel approximation
Steane, A. M., & Rutt, H. N. (1989) · Journal of the Optical Society of America A · doi:10.1364/josaa.6.001809 · Cited by 35
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Metasurface Holograms Reaching 80% Efficiency
Zheng, G., Mühlenbernd, H., Kenney, M., Li, G., Zentgraf, T., & Zhang, S. (2015) · Nature Nanotechnology · doi:10.1038/nnano.2015.2 · Cited by 2,909
Addressable metasurfaces for dynamic holography and optical information encryption
Li, J., Kamin, S., Zheng, G., Neubrech, F., Zhang, S., & Liu, N. (2018) · Science Advances · doi:10.1126/sciadv.aar6768 · Cited by 485
Metasurface-driven full-space structured light for three-dimensional imaging
Kim, G., Kim, Y., Yun, J., Moon, S.-W., Kim, S., Kim, J., Park, J., Badloe, T., Kim, I., & Rho, J. (2022) · Nature Communications · doi:10.1038/s41467-022-32117-2 · Cited by 253
Metadata
- Authors
- Shen, F., & Wang, A.
- Venue
- Applied Optics
- Publisher
- Optica Publishing Group
- Published
- 2006-02-20
- Volume
- 45
- Issue
- 6
- Pages
- 1102
- ISSN
- 0003-6935 (ISSN-L)
- 1539-4522
- OpenAlex
- W2113648894
- Cited by
- 329
- References
- 3
- FWCI
- 4.73
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Shen, F., & Wang, A. (2006). Fast-Fourier-transform based numerical integration method for the Rayleigh-Sommerfeld diffraction formula. Applied Optics. https://doi.org/10.1364/ao.45.001102
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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