메뉴 건너뛰기




Volumn 16, Issue 7, 2008, Pages 4901-4917

Inversion of the Debye-Wolf diffraction integral using an eigenfunction representation of the electric fields in the focal region

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC FIELDS; FOCUSING; INTEGRAL EQUATIONS; PROBLEM SOLVING;

EID: 41649104663     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.16.004901     Document Type: Article
Times cited : (33)

References (48)
  • 1
    • 41649118611 scopus 로고    scopus 로고
    • Pattern formation method and exposure system
    • Patent No. 7094521
    • M. Endo, "Pattern formation method and exposure system" Patent No. 7094521 (2006)
    • (2006)
    • Endo, M.1
  • 4
    • 84882600764 scopus 로고    scopus 로고
    • Exploring living cells and molecular dynamics with polarized light microscopy
    • P. Török and F.-J. Kao eds, Springer, New York
    • S. Inoué, "Exploring living cells and molecular dynamics with polarized light microscopy," in Optical Imaging and Microscopy - Techniques and Advanced Systems, P. Török and F.-J. Kao eds., (Springer, New York 2007).
    • (2007) Optical Imaging and Microscopy - Techniques and Advanced Systems
    • Inoué, S.1
  • 5
    • 33750923028 scopus 로고
    • Super-gain antennas and optical resolving power
    • T. di Francia, "Super-gain antennas and optical resolving power," Nuovo Cimento Suppl 9, 426-435 (1952).
    • (1952) Nuovo Cimento Suppl , vol.9 , pp. 426-435
    • di Francia, T.1
  • 6
    • 0036165475 scopus 로고    scopus 로고
    • Performance of a polarization-masked lens aperture in the presence of spherical aberration
    • D. R. Chowdhury, K. Bhattacharya, S. Sanyal, and A. K. Chakraborty, "Performance of a polarization-masked lens aperture in the presence of spherical aberration," J. Opt. A: Pure Appl. Opt. 4, 98-104 (2002).
    • (2002) J. Opt. A: Pure Appl. Opt , vol.4 , pp. 98-104
    • Chowdhury, D.R.1    Bhattacharya, K.2    Sanyal, S.3    Chakraborty, A.K.4
  • 7
    • 34250769340 scopus 로고
    • A new microscopic principle
    • D. Gabor, "A new microscopic principle," Nature (London) 161, 777-778 (1948).
    • (1948) Nature (London) , vol.161 , pp. 777-778
    • Gabor, D.1
  • 8
    • 4243081823 scopus 로고
    • Computer-generated holograms: Techniques and applications
    • W. H. Lee, "Computer-generated holograms: techniques and applications," Prog. Opt. 16, 119232 (1978).
    • (1978) Prog. Opt , vol.16 , pp. 119232
    • Lee, W.H.1
  • 10
    • 84894008399 scopus 로고    scopus 로고
    • Eigenfunction expansion of the electric fields in the focal region of a high numerical aperture focusing system
    • to be published
    • S. S. Sherif, M. R. Foreman, and P. Török, "Eigenfunction expansion of the electric fields in the focal region of a high numerical aperture focusing system," Opt. Express (to be published).
    • Opt. Express
    • Sherif, S.S.1    Foreman, M.R.2    Török, P.3
  • 11
    • 0034012071 scopus 로고    scopus 로고
    • A wavefront generator for complex pupil function synthesis and point spread function engineering
    • M. A. A. Neil, T. Wilson and R. Juškaitis, "A wavefront generator for complex pupil function synthesis and point spread function engineering," J. Microsc. 197, 219-223 (2000).
    • (2000) J. Microsc , vol.197 , pp. 219-223
    • Neil, M.A.A.1    Wilson, T.2    Juškaitis, R.3
  • 12
    • 84916160159 scopus 로고
    • Prolate spheroidal wave functions, Fourier analysis and uncertainty IV Extensions to many dimensions; Generalised prolate spheroidal functions
    • D. Slepian "Prolate spheroidal wave functions, Fourier analysis and uncertainty IV Extensions to many dimensions; Generalised prolate spheroidal functions," Bell Syst. Tech. J. 43, 3009-3057 (1964).
    • (1964) Bell Syst. Tech. J , vol.43 , pp. 3009-3057
    • Slepian, D.1
  • 13
    • 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, 43-64 (1961).
    • (1961) Bell Syst. Tech. J , vol.40 , pp. 43-64
    • Slepian, D.1    Pollak, H.O.2
  • 14
    • 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
  • 15
    • 84944487979 scopus 로고
    • Prolate spheroidal wave functions, Fourier analysis and uncertainty III The dimension of the space of essentially time- and band-limited signals
    • H. J. Landau and H. O. Pollak, "Prolate spheroidal wave functions, Fourier analysis and uncertainty III The dimension of the space of essentially time- and band-limited signals," 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
  • 17
    • 0012048847 scopus 로고    scopus 로고
    • Information, resolution, and space bandwidth, product
    • M. A. Neifeld, "Information, resolution, and space bandwidth, product," Opt. Lett. 18, 1477-1479 (1998).
    • (1998) Opt. Lett , vol.18 , pp. 1477-1479
    • Neifeld, M.A.1
  • 18
    • 3142674969 scopus 로고
    • Hyperspheroidal functions - optical resonators with circular mirrors
    • New York p
    • J. C. Heurtley, "Hyperspheroidal functions - optical resonators with circular mirrors," Proc. Symp. on Quasi Optics, New York p.367 (1964)
    • (1964) Proc. Symp. on Quasi Optics , pp. 367
    • Heurtley, J.C.1
  • 19
    • 77956977511 scopus 로고
    • Evaluation, design and extrapolation methods for optical signals, based on use of the prolate functions
    • B. R. Frieden "Evaluation, design and extrapolation methods for optical signals, based on use of the prolate functions," Prog. Opt. 9, 311-407 (1971).
    • (1971) Prog. Opt , vol.9 , pp. 311-407
    • Frieden, B.R.1
  • 20
    • 0020786063 scopus 로고
    • Some comments on Fourier analysis, uncertainty and modeling
    • D. Slepian, "Some comments on Fourier analysis, uncertainty and modeling," SIAM Review 25, 379-393 (1983).
    • (1983) SIAM Review , vol.25 , pp. 379-393
    • Slepian, D.1
  • 21
    • 0001106325 scopus 로고
    • Electromagnetic diffraction in optical systems I. An integral representation of the image field
    • Soc. A-Math Phy
    • E. Wolf "Electromagnetic diffraction in optical systems I. An integral representation of the image field," Proc. Roy. Soc. A-Math Phy 253, 349-357 (1959).
    • (1959) Proc. Roy , vol.253 , pp. 349-357
    • Wolf, E.1
  • 22
    • 0001106323 scopus 로고
    • Electromagnetic diffraction in optical systems II. Structure of the image field in an aplanatic system
    • Soc. A-Math Phy
    • B. Richards and E. Wolf "Electromagnetic diffraction in optical systems II. Structure of the image field in an aplanatic system," Proc. Roy. Soc. A-Math Phy 253, 358-379 (1959).
    • (1959) Proc. Roy , vol.253 , pp. 358-379
    • Richards, B.1    Wolf, E.2
  • 23
    • 0032021966 scopus 로고    scopus 로고
    • On the general properties of polarised light conventional and confocal microscopes
    • P. Török, P. D. Higdon and T. Wilson, "On the general properties of polarised light conventional and confocal microscopes," Opt. Commun. 148, 300-315 (1998).
    • (1998) Opt. Commun , vol.148 , pp. 300-315
    • Török, P.1    Higdon, P.D.2    Wilson, T.3
  • 25
    • 0011032387 scopus 로고
    • Comparison of three theoreis of electromagnetic difftraction at an aperture Part I: Coherence matrices, Part II: The far field
    • B. Karczewski and E. Wolf, "Comparison of three theoreis of electromagnetic difftraction at an aperture Part I: coherence matrices, Part II: The far field," J. Opt. Soc. Am 56, 1207-19 (1966).
    • (1966) J. Opt. Soc. Am , vol.56 , pp. 1207-1219
    • Karczewski, B.1    Wolf, E.2
  • 26
    • 3142721375 scopus 로고    scopus 로고
    • Pupil plane masks for super-resolution in high numerical aperture focussing
    • S. S. Sherif and P. Török, "Pupil plane masks for super-resolution in high numerical aperture focussing," J. Mod. Opt. 51 2007-2019 (2004).
    • (2004) J. Mod. Opt , vol.51 , pp. 2007-2019
    • Sherif, S.S.1    Török, P.2
  • 28
    • 0001161704 scopus 로고
    • Well-posedness criteria in optimization with application to the calculus of variations
    • T. Zolezzi "Well-posedness criteria in optimization with application to the calculus of variations," in Nonlinear Analysis: Theory, Methods and Applications, 25, 437-453 (1995).
    • (1995) Nonlinear Analysis: Theory, Methods and Applications , vol.25 , pp. 437-453
    • Zolezzi, T.1
  • 30
    • 0000494495 scopus 로고    scopus 로고
    • Single molecule dynamics studied by polarization modulation
    • T. Ha, T. Enderle, D. S. Chemla, P. R. Selvin, and S. Weiss, "Single molecule dynamics studied by polarization modulation," Phys. Rev. Lett. 77, 3979-3982 (1996).
    • (1996) Phys. Rev. Lett , vol.77 , pp. 3979-3982
    • Ha, T.1    Enderle, T.2    Chemla, D.S.3    Selvin, P.R.4    Weiss, S.5
  • 31
    • 0012112253 scopus 로고    scopus 로고
    • Orientational imaging of single molecules by annular illumination
    • B. Sick, B. Hecht, and L. Novotny "Orientational imaging of single molecules by annular illumination," Phys. Rev. Lett. 85 4482-4485 (2000).
    • (2000) Phys. Rev. Lett , vol.85 , pp. 4482-4485
    • Sick, B.1    Hecht, B.2    Novotny, L.3
  • 32
    • 0015397345 scopus 로고
    • Generation of radially polarized optical beam mode by laser oscillation
    • Y. Mushiake, K. Matsumura, and N. Nakajima, "Generation of radially polarized optical beam mode by laser oscillation," Proc. IEEE. 60, 1107-1109 (1972).
    • (1972) Proc. IEEE , vol.60 , pp. 1107-1109
    • Mushiake, Y.1    Matsumura, K.2    Nakajima, N.3
  • 33
    • 84975625055 scopus 로고
    • Generating radially polarized beams interferometrically
    • S. C. Tidwell, D. H. Ford, and W. D. Kimura, "Generating radially polarized beams interferometrically," Appl. Opt. 29, 2234-2239 (1990).
    • (1990) Appl. Opt , vol.29 , pp. 2234-2239
    • Tidwell, S.C.1    Ford, D.H.2    Kimura, W.D.3
  • 34
    • 0036507681 scopus 로고    scopus 로고
    • Radially and azimuthally polarized beams generated by space-variant dielectric subwavelength gratings
    • Z. Bomzon, G. Biener, V. Kleiner, and E. Hasman, "Radially and azimuthally polarized beams generated by space-variant dielectric subwavelength gratings," Opt. Lett. 27, 285-287 (2002).
    • (2002) Opt. Lett , vol.27 , pp. 285-287
    • Bomzon, Z.1    Biener, G.2    Kleiner, V.3    Hasman, E.4
  • 35
    • 27844443581 scopus 로고    scopus 로고
    • Generation of optical vector beams with a diffractive optical element interferometer
    • K. C. Toussaint Jr., S. Park, J. E. Jureller, and N. F. Scherer, "Generation of optical vector beams with a diffractive optical element interferometer," Opt. Lett 30, 2846-2848 (2005).
    • (2005) Opt. Lett , vol.30 , pp. 2846-2848
    • Toussaint Jr., K.C.1    Park, S.2    Jureller, J.E.3    Scherer, N.F.4
  • 36
    • 0036866701 scopus 로고    scopus 로고
    • Method for the generation of arbitrary complex vector wave fronts
    • M. A. A. Neil, F. Massoumian, R. Juškaitis, and T. Wilson "Method for the generation of arbitrary complex vector wave fronts," Opt. Lett. 27, 1929-1931 (2002).
    • (2002) Opt. Lett , vol.27 , pp. 1929-1931
    • Neil, M.A.A.1    Massoumian, F.2    Juškaitis, R.3    Wilson, T.4
  • 37
    • 0002555168 scopus 로고    scopus 로고
    • Focusing of high numerical aperture cylindrical vector beams
    • K. S. Youngworth and T. G. Brown, "Focusing of high numerical aperture cylindrical vector beams," Opt. Express 7 77-87 (2000).
    • (2000) Opt. Express , vol.7 , pp. 77-87
    • Youngworth, K.S.1    Brown, T.G.2
  • 38
    • 0000745177 scopus 로고
    • Use of Annular Apertures to Increase Focal Depth
    • W. T. Welford "Use of Annular Apertures to Increase Focal Depth," J. Opt. Soc. Am. 50, 749-753 (1960).
    • (1960) J. Opt. Soc. Am , vol.50 , pp. 749-753
    • Welford, W.T.1
  • 39
    • 84975603521 scopus 로고
    • Extended depth of field through wave-front coding
    • E. R. Dowski, Jr., and W. T. Cathey "Extended depth of field through wave-front coding," Appl. Opt. 34, 1859-1866 (1995).
    • (1995) Appl. Opt , vol.34 , pp. 1859-1866
    • Dowski Jr., E.R.1    Cathey, W.T.2
  • 41
    • 0005074123 scopus 로고
    • Optical/digital incoherent image processing for extended depth of field
    • T. C. Poon and M. Motamedi, "Optical/digital incoherent image processing for extended depth of field," Appl. Opt. 26, 4612-4615 (1987).
    • (1987) Appl. Opt , vol.26 , pp. 4612-4615
    • Poon, T.C.1    Motamedi, M.2
  • 43
    • 26444479778 scopus 로고
    • Optimization by Simulated Annealing
    • S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, "Optimization by Simulated Annealing," Science 220, 671-680 (1983).
    • (1983) Science , vol.220 , pp. 671-680
    • Kirkpatrick, S.1    Gelatt, C.D.2    Vecchi, M.P.3
  • 44
    • 0000054613 scopus 로고
    • Generalised Aperture and the Three-Dimensional Diffraction Image
    • C. W. McCutcheon, "Generalised Aperture and the Three-Dimensional Diffraction Image," J. Opt. Soc. Am. 54, 240-244 (1964).
    • (1964) J. Opt. Soc. Am , vol.54 , pp. 240-244
    • McCutcheon, C.W.1
  • 46
    • 33750923028 scopus 로고
    • Super-gain antennas and, optical resolving power
    • T. di Francia, "Super-gain antennas and, optical resolving power," Nuovo Cimento 9, 426-438 (1952).
    • (1952) Nuovo Cimento , vol.9 , pp. 426-438
    • di Francia, T.1
  • 47
    • 84975566461 scopus 로고
    • Superresoliving filters in confocally scanned imaging systems
    • Z. S. Hegedus and V. Sarafis, "Superresoliving filters in confocally scanned imaging systems," J. Opt. Soc. Am. A 3, 1892-1896 (1986).
    • (1986) J. Opt. Soc. Am. A , vol.3 , pp. 1892-1896
    • Hegedus, Z.S.1    Sarafis, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.