α-bandlimited diffuser in fractional Fourier optics
We propose a method for calculating appropriate α-band limited diffusers using the fractional Fourier transform. In order to do this, we implement a method for performing a numerical interpolation in the fractional Fourier domain. Such diffusers with compact support in the Fresnel regime may be used...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2016
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/9003
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/9003
- Palabra clave:
- Digital holography
Fractional Fourier optics
Fractional Fourier transform
Fresnel diffraction
Numerical interpolation
Speckles
α-bandlimited diffusers
Computer generated holography
Fourier transforms
Holography
Interpolation
Numerical methods
Speckle
Bandlimited
Digital holography
Fractional fourier
Fractional Fourier transforms
Fresnel diffraction
Numerical interpolations
Diffusers (optical)
- Rights
- restrictedAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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α-bandlimited diffuser in fractional Fourier optics |
| title |
α-bandlimited diffuser in fractional Fourier optics |
| spellingShingle |
α-bandlimited diffuser in fractional Fourier optics Digital holography Fractional Fourier optics Fractional Fourier transform Fresnel diffraction Numerical interpolation Speckles α-bandlimited diffusers Computer generated holography Fourier transforms Holography Interpolation Numerical methods Speckle Bandlimited Digital holography Fractional fourier Fractional Fourier transforms Fresnel diffraction Numerical interpolations Diffusers (optical) |
| title_short |
α-bandlimited diffuser in fractional Fourier optics |
| title_full |
α-bandlimited diffuser in fractional Fourier optics |
| title_fullStr |
α-bandlimited diffuser in fractional Fourier optics |
| title_full_unstemmed |
α-bandlimited diffuser in fractional Fourier optics |
| title_sort |
α-bandlimited diffuser in fractional Fourier optics |
| dc.contributor.editor.none.fl_str_mv |
Sheridan J.T. Meuret Y. Wyrowski F. |
| dc.subject.keywords.none.fl_str_mv |
Digital holography Fractional Fourier optics Fractional Fourier transform Fresnel diffraction Numerical interpolation Speckles α-bandlimited diffusers Computer generated holography Fourier transforms Holography Interpolation Numerical methods Speckle Bandlimited Digital holography Fractional fourier Fractional Fourier transforms Fresnel diffraction Numerical interpolations Diffusers (optical) |
| topic |
Digital holography Fractional Fourier optics Fractional Fourier transform Fresnel diffraction Numerical interpolation Speckles α-bandlimited diffusers Computer generated holography Fourier transforms Holography Interpolation Numerical methods Speckle Bandlimited Digital holography Fractional fourier Fractional Fourier transforms Fresnel diffraction Numerical interpolations Diffusers (optical) |
| description |
We propose a method for calculating appropriate α-band limited diffusers using the fractional Fourier transform. In order to do this, we implement a method for performing a numerical interpolation in the fractional Fourier domain. Such diffusers with compact support in the Fresnel regime may be used in fractional Fourier optical systems where the use of diffusers produce speckles, e.g. digital holography or optical encryption. Numerical simulations are presented. © 2016 SPIE. |
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2016 |
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2016 |
| dc.date.accessioned.none.fl_str_mv |
2020-03-26T16:32:45Z |
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2020-03-26T16:32:45Z |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Conferencia |
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Proceedings of SPIE - The International Society for Optical Engineering; Vol. 9889 |
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9781510601345 |
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0277786X |
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https://hdl.handle.net/20.500.12585/9003 |
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10.1117/12.2228985 |
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Universidad Tecnológica de Bolívar |
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Repositorio UTB |
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57190688459 7202230088 56270896900 6701664259 |
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Proceedings of SPIE - The International Society for Optical Engineering; Vol. 9889 9781510601345 0277786X 10.1117/12.2228985 Universidad Tecnológica de Bolívar Repositorio UTB 57190688459 7202230088 56270896900 6701664259 |
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https://hdl.handle.net/20.500.12585/9003 |
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eng |
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eng |
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5 April 2016 through 7 April 2016 |
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application/pdf |
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SPIE |
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Sheridan J.T.Meuret Y.Wyrowski F.Patiño Vanegas, AlbertoDurand, P.E.Torres R.Pellat-Finet P.2020-03-26T16:32:45Z2020-03-26T16:32:45Z2016Proceedings of SPIE - The International Society for Optical Engineering; Vol. 988997815106013450277786Xhttps://hdl.handle.net/20.500.12585/900310.1117/12.2228985Universidad Tecnológica de BolívarRepositorio UTB571906884597202230088562708969006701664259We propose a method for calculating appropriate α-band limited diffusers using the fractional Fourier transform. In order to do this, we implement a method for performing a numerical interpolation in the fractional Fourier domain. Such diffusers with compact support in the Fresnel regime may be used in fractional Fourier optical systems where the use of diffusers produce speckles, e.g. digital holography or optical encryption. Numerical simulations are presented. © 2016 SPIE.Brussels Photonics Team (B-PHOT);Research Foundation Flanders;The Society of Photo-Optical Instrumentation Engineers (SPIE);Visit BrusselsRecurso electrónicoapplication/pdfengSPIEhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/restrictedAccessAtribución-NoComercial 4.0 Internacionalhttp://purl.org/coar/access_right/c_16echttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84982299822&doi=10.1117%2f12.2228985&partnerID=40&md5=42531702beb938170fc9a6a12a2c1aa7Scopus2-s2.0-84982299822Optical Modelling and Design IVα-bandlimited diffuser in fractional Fourier opticsinfo:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionConferenciahttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_c94fDigital holographyFractional Fourier opticsFractional Fourier transformFresnel diffractionNumerical interpolationSpecklesα-bandlimited diffusersComputer generated holographyFourier transformsHolographyInterpolationNumerical methodsSpeckleBandlimitedDigital holographyFractional fourierFractional Fourier transformsFresnel diffractionNumerical interpolationsDiffusers (optical)5 April 2016 through 7 April 2016Allebach, J.P., Gallagher, N.C., Liu, B., Aliasing error in digital holography (1976) Appl. Opt., 15, pp. 2183-2188. , SepWyrowski, F., Bryngdahl, O., Iterative fourier-transform algorithm applied to computer holography (1988) J. Opt. Soc. Am. A, 5, pp. 1058-1065. , JulScivier, M.S., Fiddy, M.A., Phase ambiguities and the zeros of multidimensional band-limited functions (1985) J. Opt. Soc. Am. A, 2, pp. 693-697. , MayBräuer, R., Wyrowski, F., Bryngdahl, O., Diffusers in digital holography (1991) J. Opt. Soc. Am. A, 8, pp. 572-578. , MarChhetri, B.B., Serikawa, S., Shimomura, T., Heuristic algorithm for calculation of sufficiently randomized object-independent diffuser for holography (2000) Algorithms and Systems for Optical Information Processing IV, 4113, pp. 205-216. , Psaltis, B. J. D., ed., Proc. SPIEPellat-Finet, P., Bonnet, G., Fractional order fourier transform and fourier optics (1994) Optics Commu-nications, 111 (1), p. 141154Pellat-Finet, P., Fresnel diffraction and the fractional-order fourier transform (1994) Opt. Lett., 19, pp. 1388-1390. , SepPellat-Finet, P., Optique de Fourier: Théorie métaxiale et fractionnaire (2009) Springer Science & Business MediaNamias, V., The fractional order fourier transform and its application to quantum mechanics (1980) IMA Journal of Applied Mathematics, 25 (3), pp. 241-265Torres, R., Pellat-Finet, P., Torres, Y., Sampling theorem for fractional bandlimited signals: A selfcontained proof. Application to digital holography (2006) IEEE Signal Process. Lett., 13 (11), pp. 676-679Torres, R., Pellat-Finet, P., Torres, Y., Fractional convolution, fractional correlation and their translation invariance properties (2010) Signal Processing, 90 (6), pp. 1976-1984Ozaktas, H.M., Zalevsky, Z., Kutay, M.A., (2001) The Fractional Fourier Transform, , Wiley, Chichesterhttp://purl.org/coar/resource_type/c_c94fTHUMBNAILMiniProdInv.pngMiniProdInv.pngimage/png23941https://repositorio.utb.edu.co/bitstream/20.500.12585/9003/1/MiniProdInv.png0cb0f101a8d16897fb46fc914d3d7043MD5120.500.12585/9003oai:repositorio.utb.edu.co:20.500.12585/90032023-05-26 08:17:54.732Repositorio Institucional UTBrepositorioutb@utb.edu.co |