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Volumn 24, Issue 6, 2007, Pages 1609-1616

Zernike-Bessel representation and its application to Hankel transforms

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; MATHEMATICAL TRANSFORMATIONS; NUMERICAL ANALYSIS; NUMERICAL METHODS; POLYNOMIALS;

EID: 34447269223     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.24.001609     Document Type: Article
Times cited : (10)

References (16)
  • 2
    • 0038137202 scopus 로고    scopus 로고
    • Numerical evaluation of Hankel transforms for oscillating functions
    • J. Markham and J.-A. Conchello, "Numerical evaluation of Hankel transforms for oscillating functions," J. Opt. Soc. Am. A 20, 621-630 (2003).
    • (2003) J. Opt. Soc. Am. A , vol.20 , pp. 621-630
    • Markham, J.1    Conchello, J.-A.2
  • 3
    • 0003972070 scopus 로고
    • 6th ed, Cambridge U. Press, Section 9.2 and Appendix VII
    • M. Born and E. Wolf, Principles of Optics, 6th ed. (Cambridge U. Press, 1980), Section 9.2 and Appendix VII.
    • (1980) Principles of Optics
    • Born, M.1    Wolf, E.2
  • 4
    • 0000291178 scopus 로고
    • Equation of state of the hard-disk fluid from approximate integral equations
    • F. Lado, "Equation of state of the hard-disk fluid from approximate integral equations," J. Chem. Phys. 49, 3092-3096 (1968).
    • (1968) J. Chem. Phys , vol.49 , pp. 3092-3096
    • Lado, F.1
  • 5
    • 0023104723 scopus 로고
    • An improved method for computing the discrete Hankel transform
    • H. Fisk Johnson, "An improved method for computing the discrete Hankel transform," Comput. Phys. Commun. 43, 181-202 (1987).
    • (1987) Comput. Phys. Commun , vol.43 , pp. 181-202
    • Fisk Johnson, H.1
  • 6
    • 0001561119 scopus 로고
    • The discrete Bessel transform algorithm
    • D. Lemoine, "The discrete Bessel transform algorithm," J. Chem. Phys. 101, 3936-3984 (1994).
    • (1994) J. Chem. Phys , vol.101 , pp. 3936-3984
    • Lemoine, D.1
  • 8
    • 0346504055 scopus 로고    scopus 로고
    • Computation of quasi-discrete Hankel transforms of integer order for propagating optical wave fields
    • M. Guizar-Sicairos and J. C. Gutiérrez-Vega, "Computation of quasi-discrete Hankel transforms of integer order for propagating optical wave fields," J. Opt. Soc. Am. A 21, 53-58 (2004).
    • (2004) J. Opt. Soc. Am. A , vol.21 , pp. 53-58
    • Guizar-Sicairos, M.1    Gutiérrez-Vega, J.C.2
  • 9
    • 84975534731 scopus 로고
    • Algorithm for computation of Zernike polynomials expansion coefficients
    • A. Prata, Jr., and W. V. T. Rusch, "Algorithm for computation of Zernike polynomials expansion coefficients," Appl. Opt. 28, 749-754 (1989).
    • (1989) Appl. Opt , vol.28 , pp. 749-754
    • Prata Jr., A.1    Rusch, W.V.T.2
  • 10
    • 34447259975 scopus 로고
    • A. Abramowitz and I. Stegun, eds, U. S. Government Printing Office, Chap. 22
    • A. Abramowitz and I. Stegun, eds., Handbook of Mathematical Functions (U. S. Government Printing Office, 1972), Chap. 22.
    • (1972) Handbook of Mathematical Functions
  • 13
    • 84894388817 scopus 로고    scopus 로고
    • The computer package, MATHEMATICA Wolfram Research, Inc, conveniently includes an algorithm for the roots of the derivatives of the Bessel functions
    • The computer package, MATHEMATICA (Wolfram Research, Inc.), conveniently includes an algorithm for the roots of the derivatives of the Bessel functions.
  • 14
    • 84950590103 scopus 로고
    • Experimental test of an analytical model of aberration in an oil-immersion objective lens used in three-dimensional light microscopy
    • F. S. Gibson and F. Lanni, "Experimental test of an analytical model of aberration in an oil-immersion objective lens used in three-dimensional light microscopy," J. Opt. Soc. Am. A 8, 1601-1613 (1991).
    • (1991) J. Opt. Soc. Am. A , vol.8 , pp. 1601-1613
    • Gibson, F.S.1    Lanni, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.