메뉴 건너뛰기




Volumn 43, Issue 11, 2004, Pages 2557-2563

Some mathematical properties of the uniformly sampled quadratic phase function and associated issues in digital Fresnel diffraction simulations

Author keywords

Chirp; Computer generated holography; Diffraction simulation; Digital holography; Discretization; Fresnel diffraction; Quadratic phase function; Sampling

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER GENERATED HOLOGRAPHY; COMPUTER SIMULATION; DISCRETE FOURIER TRANSFORMS; FUNCTIONS; LIGHT PROPAGATION;

EID: 11244354308     PISSN: 00913286     EISSN: None     Source Type: Journal    
DOI: 10.1117/1.1802232     Document Type: Article
Times cited : (34)

References (15)
  • 2
    • 0017148922 scopus 로고
    • "Fraunhofer holography applied to particle size analysis: A reassessment"
    • G. A. Tyler and B. J. Thompson, "Fraunhofer holography applied to particle size analysis: a reassessment," Opt. Acta 23(9), 685-700 (1976).
    • (1976) Opt. Acta , vol.23 , Issue.9 , pp. 685-700
    • Tyler, G.A.1    Thompson, B.J.2
  • 3
    • 0023454289 scopus 로고
    • "Digital Decoding of In-line Holograms"
    • L. Onural and P. D. Scott, "Digital Decoding of In-line Holograms," Opt. Eng. 26(11), 1124-1132 (1987).
    • (1987) Opt. Eng. , vol.26 , Issue.11 , pp. 1124-1132
    • Onural, L.1    Scott, P.D.2
  • 4
    • 77957719167 scopus 로고    scopus 로고
    • "Introduction to the fractional Fourier transform and its applications"
    • Chap. 4, P. W. Hawkes, Ed., Academic Press, San Diego, CA
    • H. M. Ozaktas, M. A. Kutay, and D. Mendlovic, "Introduction to the fractional Fourier transform and its applications," Chap. 4 in Advances in Imaging and Electron Physics, Vol. 106, P. W. Hawkes, Ed., pp. 239-291, Academic Press, San Diego, CA (1999).
    • (1999) Advances in Imaging and Electron Physics , vol.106 , pp. 239-291
    • Ozaktas, H.M.1    Kutay, M.A.2    Mendlovic, D.3
  • 5
    • 0034167502 scopus 로고    scopus 로고
    • "Fast algorithm for chirp transforms with zooming-in ability and its applications"
    • X. Deng, B. Bihari, J. Gan, F. Zhao, and R. T. Chen, "Fast algorithm for chirp transforms with zooming-in ability and its applications," J. Opt. Soc. Am. A 17(4), 762-771 (2000).
    • (2000) J. Opt. Soc. Am. A , vol.17 , Issue.4 , pp. 762-771
    • Deng, X.1    Bihari, B.2    Gan, J.3    Zhao, F.4    Chen, R.T.5
  • 6
    • 2942654008 scopus 로고    scopus 로고
    • "Linear systems approach to simulation of optical diffraction"
    • A. J. Lambert and D. Fraser, "Linear systems approach to simulation of optical diffraction," Appl. Opt. 37(34), 7933-7939 (1998).
    • (1998) Appl. Opt. , vol.37 , Issue.34 , pp. 7933-7939
    • Lambert, A.J.1    Fraser, D.2
  • 7
    • 0035881564 scopus 로고    scopus 로고
    • "Wavefront propagation by Gaussian superposition"
    • M. Cywiak, M. Servin, and F. M. Santoyo, "Wavefront propagation by Gaussian superposition," Opt. Commun. 195(5-6), 351-359 (2001).
    • (2001) Opt. Commun. , vol.195 , Issue.5-6 , pp. 351-359
    • Cywiak, M.1    Servin, M.2    Santoyo, F.M.3
  • 8
    • 0000078196 scopus 로고    scopus 로고
    • "Sampling of the diffraction field"
    • L. Onural, "Sampling of the diffraction field," Appl. Opt. 39 32), 5929-5935 (2000).
    • (2000) Appl. Opt. , vol.39 , Issue.32 , pp. 5929-5935
    • Onural, L.1
  • 9
    • 0041898656 scopus 로고    scopus 로고
    • "Numerical reconstruction of digital holograms with variable viewing angles"
    • L. Yu, Y. An, and L. Cai, "Numerical reconstruction of digital holograms with variable viewing angles," Opt. Express 10 22), 1250-1257 (2002).
    • (2002) Opt. Express , vol.10 , Issue.22 , pp. 1250-1257
    • Yu, L.1    An, Y.2    Cai, L.3
  • 10
    • 84975541742 scopus 로고
    • "Diffraction pattern sampling using a holographic optical element in an imaging configuration"
    • M. J. Simpson, "Diffraction pattern sampling using a holographic optical element in an imaging configuration," Appl. Opt. 26 9), 1786-1791 (1987).
    • (1987) Appl. Opt. , vol.26 , Issue.9 , pp. 1786-1791
    • Simpson, M.J.1
  • 11
    • 0036671790 scopus 로고    scopus 로고
    • "Frequency analysis of digital holography with reconstruction by convolution"
    • T. M. Kreis, "Frequency analysis of digital holography with reconstruction by convolution," Opt. Eng. 41(4), 771-778 (2002).
    • (2002) Opt. Eng. , vol.41 , Issue.4 , pp. 771-778
    • Kreis, T.M.1
  • 13
    • 2042427855 scopus 로고    scopus 로고
    • "Application of the two-dimensional fractional-order Fourier transformation to particle field digital holography"
    • S. Coetmellec, D. Lebrun, and C. Özkul, "Application of the two-dimensional fractional-order Fourier transformation to particle field digital holography," J. Opt. Soc. Am. A 19(8), 1537-1546 (2002).
    • (2002) J. Opt. Soc. Am. A , vol.19 , Issue.8 , pp. 1537-1546
    • Coetmellec, S.1    Lebrun, D.2    Özkul, C.3
  • 14
    • 0043190822 scopus 로고    scopus 로고
    • "Particle field digital holographic reconstruction in arbitrary tilted planes"
    • D. Lebrun, A. M. Benkouider, S. Coetmellec, and M. Malek, "Particle field digital holographic reconstruction in arbitrary tilted planes," Opt. Express 11(3), 224-229 (2003).
    • (2003) Opt. Express , vol.11 , Issue.3 , pp. 224-229
    • Lebrun, D.1    Benkouider, A.M.2    Coetmellec, S.3    Malek, M.4
  • 15
    • 0036738328 scopus 로고    scopus 로고
    • "Digital recording and numerical reconstruction of holograms"
    • U. Schnars and W. P. O. Jüptner, "Digital recording and numerical reconstruction of holograms," Meas. Sci. Technol. 13(9), R85-101 (2002).
    • (2002) Meas. Sci. Technol. , vol.13 , Issue.9
    • Schnars, U.1    Jüptner, W.P.O.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.