메뉴 건너뛰기




Volumn 22, Issue 3, 2005, Pages 460-474

Generalized prolate spheroidal wave functions for optical finite fractional Fourier and linear canonical transforms

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTICAL SYSTEMS; POLYNOMIALS;

EID: 15044353204     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.22.000460     Document Type: Article
Times cited : (29)

References (19)
  • 1
    • 84939751170 scopus 로고
    • "Prolate spheroidal wave functions, Fourier analysis and uncertainty - I"
    • D. Slepian and H. O. Pollak, "Prolate spheroidal wave functions, Fourier analysis and uncertainty - I," Bell Syst. Tech. J. 40, 43-63 (1961).
    • (1961) Bell Syst. Tech. J. , vol.40 , pp. 43-63
    • Slepian, D.1    Pollak, H.O.2
  • 2
    • 84857887285 scopus 로고
    • "Prolate spheroidal wave functions, Fourier analysis and uncertainty - II"
    • H. J. Landau and H. O. Pollak, "Prolate spheroidal wave functions, Fourier analysis and uncertainty - II," Bell Syst. Tech. J. 40, 65-84 (1961).
    • (1961) Bell Syst. Tech. J. , vol.40 , pp. 65-84
    • Landau, H.J.1    Pollak, H.O.2
  • 3
    • 84944487979 scopus 로고
    • "Prolate spheroidal wave functions, Fourier analysis and uncertainty - III"
    • H. J. Landau and H. O. Pollak, "Prolate spheroidal wave functions, Fourier analysis and uncertainty - III," Bell Syst. Tech. J. 41, 1295-1336 (1962).
    • (1962) Bell Syst. Tech. J. , vol.41 , pp. 1295-1336
    • Landau, H.J.1    Pollak, H.O.2
  • 4
    • 85171835557 scopus 로고
    • "Some asymptotic expansions for prolate spheroidal wave functions"
    • D. Slepian, "Some asymptotic expansions for prolate spheroidal wave functions," J. Math. Phys. 44, 99-140 (1965).
    • (1965) J. Math. Phys. , vol.44 , pp. 99-140
    • Slepian, D.1
  • 5
    • 0017961888 scopus 로고
    • "Prolate spheroidal wave functions, Fourier analysis, and uncertainty - V: The discrete case"
    • D. Slepian, "Prolate spheroidal wave functions, Fourier analysis, and uncertainty - V: the discrete case," Bell Syst. Tech. J. 57, 1371-1430 (1977).
    • (1977) Bell Syst. Tech. J. , vol.57 , pp. 1371-1430
    • Slepian, D.1
  • 7
    • 77956977511 scopus 로고
    • "Evaluation, design and extrapolation methods for optical signals, based on use of the prolate functions"
    • E. Wolf, ed. (North-Holland, Amsterdam)
    • B. R. Frieden, "Evaluation, design and extrapolation methods for optical signals, based on use of the prolate functions," in Progress in Optics, Vol. IX, E. Wolf, ed. (North-Holland, Amsterdam, 1971), pp. 311-407.
    • (1971) Progress in Optics , vol.9 , pp. 311-407
    • Frieden, B.R.1
  • 10
    • 77958407025 scopus 로고
    • "The fractional order Fourier transform and its application to quantum mechanics"
    • V. Namias, "The fractional order Fourier transform and its application to quantum mechanics," J. Inst. Math. Appl. 25, 241-265 (1980).
    • (1980) J. Inst. Math. Appl. , vol.25 , pp. 241-265
    • Namias, V.1
  • 12
    • 0001484759 scopus 로고    scopus 로고
    • "ABCD matrix formalism of fractional Fourier optics"
    • L. M. Bernardo, "ABCD matrix formalism of fractional Fourier optics," Opt. Eng. (Bellingham) 35, 732-740 (1996).
    • (1996) Opt. Eng. (Bellingham) , vol.35 , pp. 732-740
    • Bernardo, L.M.1
  • 13
    • 0000807048 scopus 로고
    • "Propagation laws for the second-order moments of the Wigner distribution function in first-order optical systems"
    • M. J. Bastiaans, "Propagation laws for the second-order moments of the Wigner distribution function in first-order optical systems," Optik (Stuttgart) 82, 173-181 (1989).
    • (1989) Optik (Stuttgart) , vol.82 , pp. 173-181
    • Bastiaans, M.J.1
  • 15
    • 0028494881 scopus 로고
    • "Fractional order Fourier transform and Fourier optics"
    • P. Pellat-Finet and G. Bonnet, "Fractional order Fourier transform and Fourier optics," Opt. Commun. 111, 141-154 (1994).
    • (1994) Opt. Commun. , vol.111 , pp. 141-154
    • Pellat-Finet, P.1    Bonnet, G.2
  • 16
    • 0028546432 scopus 로고
    • "Optical operations on wave functions as the Abelian subgroups of the special affine Fourier transformation"
    • S. Abe and J. T. Sheridan, "Optical operations on wave functions as the Abelian subgroups of the special affine Fourier transformation," Opt. Lett. 19, 1801-1803 (1994).
    • (1994) Opt. Lett. , vol.19 , pp. 1801-1803
    • Abe, S.1    Sheridan, J.T.2
  • 17
    • 0042575188 scopus 로고    scopus 로고
    • "Eigenfunctions of the offset Fourier, fractional Fourier, and linear canonical transforms"
    • S. C. Pei and J. J. Ding, "Eigenfunctions of the offset Fourier, fractional Fourier, and linear canonical transforms," J. Opt. Soc. Am. A 20, 522-532 (2003).
    • (2003) J. Opt. Soc. Am. A , vol.20 , pp. 522-532
    • Pei, S.C.1    Ding, J.J.2
  • 18
    • 3142691831 scopus 로고    scopus 로고
    • "Fractional finite Fourier transform"
    • K. Khare and N. George, "Fractional finite Fourier transform," J. Opt. Soc. Am. A 21, 1179-1185 (2004).
    • (2004) J. Opt. Soc. Am. A , vol.21 , pp. 1179-1185
    • Khare, K.1    George, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.