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Volumn 42, Issue 6, 1995, Pages 1050-1063

Bowtie Limited Diffraction Beams for Low-Sidelobe and Large Depth of Field Imaging

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ELECTROMAGNETIC WAVE TRANSMISSION; IMAGE QUALITY; IMAGING TECHNIQUES;

EID: 0029406977     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/58.476549     Document Type: Article
Times cited : (37)

References (60)
  • 1
    • 0020720555 scopus 로고
    • Focus wave modes in homogeneous Maxwell's equations: Transverse electric mode
    • J. N. Brittingham, “Focus wave modes in homogeneous Maxwell's equations: Transverse electric mode”, J. Appl. Phys., vol. 54, no. 3, pp. 1179–1189, 1983.
    • (1983) J. Appl. Phys. , vol.54 , Issue.3 , pp. 1179-1189
    • Brittingham, J. N.1
  • 2
    • 0001213440 scopus 로고
    • Exact solutions of the wave equation with complex source locations
    • Apr.
    • R. W. Ziolkowski, “Exact solutions of the wave equation with complex source locations”, J. Math. Phys., vol. 26, no. 4, pp. 861–863, Apr. 1985.
    • (1985) J. Math. Phys. , vol.26 , Issue.4 , pp. 861-863
    • Ziolkowski, R.W.1
  • 3
    • 35949009051 scopus 로고
    • Evidence of localized wave transmission
    • Jan.
    • R. W. Ziolkowski, D. K. Lewis, and B. D. Cook, “Evidence of localized wave transmission”, Phys. Rev. Lett., vol. 62, no. 2, pp. 147–150, Jan. 9, 1989.
    • (1989) Phys. Rev. Lett. , vol.62 , Issue.2 , pp. 147-150
    • Ziolkowski, R.W.1    Lewis, D.K.2    Cook, B.D.3
  • 4
    • 36549097673 scopus 로고
    • Localized energy pulse train launched from an open, semi-infinite, circular wave-guide
    • A. M. Shaarawi, J. M. Besieris, and R. W. Ziolkowski, “Localized energy pulse train launched from an open, semi-infinite, circular wave-guide”, J. Appl. Phys., vol. 65, no. 2, pp. 805–813, 1989.
    • (1989) J. Appl. Phys. , vol.65 , Issue.2 , pp. 805-813
    • Shaarawi, A.M.1    Besieris, J.M.2    Ziolkowski, R.W.3
  • 5
    • 36549104582 scopus 로고
    • A bidirectional traveling plane wave representation of exact solutions of the scalar wave equation
    • L M. Besieris, A. M. Shaarawi, and R. W. Ziolkowski, “A bidirectional traveling plane wave representation of exact solutions of the scalar wave equation”, J. Math. Phys., vol. 30, no. 6, pp. 1254–1269, 1989.
    • (1989) J. Math. Phys. , vol.30 , Issue.6 , pp. 1254-1269
    • Besieris, L.M.1    Shaarawi, A.M.2    Ziolkowski, R.W.3
  • 6
    • 0011283734 scopus 로고
    • Spectral analysis of focus wave modes
    • Nov.
    • E. Heyman, B. Z. Steinberg, and L. B. Felsen, “Spectral analysis of focus wave modes”, J. Opt. Soc. Amer. A, vol. 4, no. 11, pp. 2081–2091, Nov. 1987.
    • (1987) J. Opt. Soc. Amer. A , vol.4 , Issue.11 , pp. 2081-2091
    • Heyman, E.1    Steinberg, B.Z.2    Felsen, L.B.3
  • 7
    • 0001632247 scopus 로고
    • Localized transmission of electromagnetic energy
    • Feb.
    • R. W. Ziolkowski, “Localized transmission of electromagnetic energy”, Phys. Rev. A., vol. 39, no. 4, pp. 2005–2033, Feb. 15, 1989.
    • (1989) Phys. Rev. A , vol.39 , Issue.4 , pp. 2005-2033
    • Ziolkowski, R.W.1
  • 8
    • 0025242307 scopus 로고
    • Transient waves: Reconstruction and processing
    • Nov.
    • J. V. Candy, R. W. Ziolkowski, and D. K. Lewis, “Transient waves: Reconstruction and processing”, J. Acoust. Soc. Amer., vol. 88, no. 5, pp. 2248–2258, Nov. 1990.
    • (1990) J. Acoust. Soc. Amer , vol.88 , Issue.5 , pp. 2248-2258
    • Candy, J.V.1    Ziolkowski, R.W.2    Lewis, D.K.3
  • 9
    • 0025201775 scopus 로고
    • Transient wave estimation: A multichannel deconvolution application
    • Nov.
    • “Transient wave estimation: A multichannel deconvolution application”, J. Acoust. Soc. Amer., vol. 88, no. 5, pp. 2235–2247, Nov. 1990.
    • (1990) J. Acoust. Soc. Amer , vol.88 , Issue.5 , pp. 2235-2247
    • Candy, J.V.1    Ziolkowski, R.W.2    Lewis, D.K.3
  • 10
    • 0001376311 scopus 로고
    • Verification of the localized wave transmission effect
    • Dec.
    • R. W. Ziolkowski and D. K. Lewis, “Verification of the localized wave transmission effect”, J. Appl. Phys., vol. 68, no. 12, pp. 6083–6086, Dec. 15, 1990.
    • (1990) J. Appl. Phys. , vol.68 , Issue.12 , pp. 6083-6086
    • Ziolkowski, R.W.1    Lewis, D.K.2
  • 11
    • 84975566414 scopus 로고
    • Exact solutions for nondiffracting beams. J. The scalar theory
    • J. Durnin, “Exact solutions for nondiffracting beams. J. The scalar theory”, J. Opt. Soc. Amer. A, vol. 4, no. 4, pp. 651–654, 1987.
    • (1987) J. Opt. Soc. Amer. A , vol.4 , Issue.4 , pp. 651-654
    • Durnin, J.1
  • 12
    • 35949011534 scopus 로고
    • Diffraction-free beams
    • Apr.
    • J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, “Diffraction-free beams”, Phys. Rev. Lett., vol. 58, no. 15, pp. 1499–1501, Apr. 13, 1987.
    • (1987) Phys. Rev. Lett. , vol.58 , Issue.15 , pp. 1499-1501
    • Durnin, J.1    Miceli, J.J.2    Eberly, J.H.3
  • 13
    • 0028277371 scopus 로고
    • Biomedical ultrasound beam forming
    • July
    • J. Lu, H. Zou, and J. F. Greenleaf, “Biomedical ultrasound beam forming”, Ultrasound Med. Biol., vol. 20, no. 5, pp. 403–428, July 1994.
    • (1994) Ultrasound Med. Biol. , vol.20 , Issue.5 , pp. 403-428
    • Lu, J.1    Zou, H.2    Greenleaf, J.F.3
  • 14
    • 0027695012 scopus 로고
    • Sidelobe reduction for limited diffraction pulse-echo systems
    • Nov.
    • J. Lu and J. F. Greenleaf, “Sidelobe reduction for limited diffraction pulse-echo systems”, IEEE Trans. Ultrason., Ferroelec., Freq. Contr., vol. 40, no. 6, pp. 735–746, Nov. 1993.
    • (1993) IEEE Trans. Ultrason., Ferroelec., Freq. Contr. , vol.40 , Issue.6 , pp. 735-746
    • Lu, J.1    Greenleaf, J.F.2
  • 15
    • 84975568031 scopus 로고
    • Nondiffracting optical fields: Some remarks on their analysis and synthesis
    • Jan.
    • G. Indebetow, “Nondiffracting optical fields: Some remarks on their analysis and synthesis”, J. Opt. Soc. Amer. A, vol. 6, no. 1, pp. 150–152, Jan. 1989.
    • (1989) J. Opt. Soc. Amer. A , vol.6 , Issue.1 , pp. 150-152
    • Indebetow, G.1
  • 16
    • 0024608462 scopus 로고
    • Generation of near diffraction-free laser beams
    • K. Uehara and H. Kikuchi, “Generation of near diffraction-free laser beams”, Appl. Phys. B, vol. 48, pp. 125–129, 1989.
    • (1989) Appl. Phys. B , vol.48 , pp. 125-129
    • Uehara, K.1    Kikuchi, H.2
  • 17
    • 0024622701 scopus 로고
    • Truncation of nondiffracting beams
    • Mar.
    • L. Vicari, “Truncation of nondiffracting beams”, Optics Commun., vol. 70, no. 4, pp. 263–266, Mar. 15, 1989.
    • (1989) Optics Commun. , vol.70 , Issue.4 , pp. 263-266
    • Vicari, L.1
  • 18
    • 21544464825 scopus 로고
    • Bessel beam ultrasonic transducer: Fabrication method and experimental results
    • Nov.
    • D. K. Hsu, F. J. Margetan, and D. O. Thompson, “Bessel beam ultrasonic transducer: Fabrication method and experimental results”, Appl. Phys. Lett., vol. 55, no. 20, pp. 2066–2068, Nov. 13, 1989.
    • (1989) Appl. Phys. Lett. , vol.55 , Issue.20 , pp. 2066-2068
    • Hsu, D.K.1    Margetan, F.J.2    Thompson, D. O.3
  • 19
    • 0025258941 scopus 로고
    • Generation of a nondiffracting beam with frequency independent beam width
    • Nov.
    • J. A. Campbell and S. Soloway, “Generation of a nondiffracting beam with frequency independent beam width”, J. Acoust. Soc. Amer., vol. 88, no. 5, pp. 2467–2477, Nov. 1990.
    • (1990) J. Acoust. Soc. Amer , vol.88 , Issue.5 , pp. 2467-2477
    • Campbell, J.A.1    Soloway, S.2
  • 20
    • 3342876649 scopus 로고
    • Effect on J0 nondiffracting beam of deleting central elements of J0 annular array transducer
    • Apr.
    • J. Lu and J. F. Greenleaf, “Effect on J 0 nondiffracting beam of deleting central elements of J 0 annular array transducer”, Ultrason. Imag., vol. 13, no. 2, p. 203, Apr. 1991 (abs.).
    • (1991) Ultrason. Imag. , vol.13 , Issue.2 , pp. 203
    • Lu, J.1    Greenleaf, J.F.2
  • 21
    • 0027804471 scopus 로고
    • In vitro and in vivo real-time imaging with ultrasonic limited diffraction beams
    • Dec.
    • J. Lu, T. K. Song, R. R. Kinnick, and J. F. Greenleaf, “In vitro and in vivo real-time imaging with ultrasonic limited diffraction beams”, IEEE Trans. Med. Imag., vol. 12, no. 4, pp. 819–829, Dec. 1993.
    • (1993) IEEE Trans. Med. Imag. , vol.12 , Issue.4 , pp. 819-829
    • Lu, J.1    Song, T.K.2    Kinnick, R.R.3    Greenleaf, J.F.4
  • 22
    • 33747962189 scopus 로고
    • Diffraction-limited beams and their applications for ultrasonic imaging and tissue characterization
    • F. L. Lizzi, Ed., Proceedings SPIE
    • J. Lu and J. F. Greenleaf, “Diffraction-limited beams and their applications for ultrasonic imaging and tissue characterization”, in New Developments in Ultrasonic Transducers and Transducer Systems, F. L. Lizzi, Ed., Proceedings SPIE, vol. 1733, pp. 92–119, 1992.
    • (1992) New Developments in Ultrasonic Transducers and Transducer Systems , vol.1733 , pp. 92-119
    • Lu, J.1    Greenleaf, J.F.2
  • 23
    • 0025782653 scopus 로고
    • Pulse-echo imaging using a nondiffracting beam transducer
    • May
    • “Pulse-echo imaging using a nondiffracting beam transducer”, Ultrasound Med. Biol., vol. 17, no. 3, pp. 265–281, May 1991.
    • (1991) Ultrasound Med. Biol , vol.17 , Issue.3 , pp. 265-281
    • Lu, J.1    Greenleaf, J.F.2
  • 25
    • 0025577305 scopus 로고
    • Evaluation of a nondiffracting transducer for tissue characterization
    • 90CH2938-9
    • “Evaluation of a nondiffracting transducer for tissue characterization”, in IEEE 1990 Ultrason. Symp. Proc., 90CH2938-9, vol. 2, pp. 795–798, 1990.
    • (1990) IEEE 1990 Ultrason. Symp. Proc. , vol.37 , Issue.5 , pp. 795-798
    • Lu, J.1    Greenleaf, J.F.2
  • 26
    • 0027272244 scopus 로고
    • Producing deep depth of field and depth-independent resolution in NDE with limited diffraction beams
    • Apr.
    • “Producing deep depth of field and depth-independent resolution in NDE with limited diffraction beams”, Ultrason. Imag., vol. 15, no. 2, pp. 134–149, Apr. 1993.
    • (1993) Ultrason. Imag. , vol.15 , Issue.2 , pp. 134-149
    • Lu, J.1    Greenleaf, J.F.2
  • 31
    • 0026678389 scopus 로고
    • Nondiffracting X waves-Exact solutions to free-space scalar wave equation and their finite aperture realizations
    • Jan.
    • J. Lu and J. F. Greenleaf, “Nondiffracting X waves-Exact solutions to free-space scalar wave equation and their finite aperture realizations”, IEEE Trans. Ultrason., Ferroelec., Freq. Contr., vol. 39, no. 1, pp. 19–31, Jan. 1992.
    • (1992) IEEE Trans. Ultrason., Ferroelec., Freq. Contr. , vol.39 , Issue.1 , pp. 19-31
    • Lu, J.1    Greenleaf, J.F.2
  • 33
    • 84965791787 scopus 로고
    • Theory and acoustic experiments of nondiffracting X waves
    • 91CH3079-1
    • “Theory and acoustic experiments of nondiffracting X waves”, in IEEE 1991 Ultrason. Symp. Proc., 91CH3079-1, vol. 2, pp. 1155–1159, 1991.
    • (1991) IEEE 1991 Ultrason. Symp. Proc. , vol.2 , pp. 1155-1159
    • Lu, J.1    Greenleaf, J.F.2
  • 35
    • 0027303193 scopus 로고
    • Modified X waves with improved field properties
    • Jan.
    • T. K. Song, J. Lu, and J. F. Greenleaf, “Modified X waves with improved field properties”, Ultrason. Imag., vol. 15, no. 1, pp. 36–47, Jan. 1993.
    • (1993) Ultrason. Imag. , vol.15 , Issue.1 , pp. 36-47
    • Song, T.K.1    Lu, J.2    Greenleaf, J.F.3
  • 36
    • 0028500325 scopus 로고
    • A study of two-dimensional array transducers for limited diffraction beams
    • Sept.
    • J. Lu and J. F. Greenleaf, “A study of two-dimensional array transducers for limited diffraction beams”, IEEE Trans. Ultrason., Ferroelec., Freq. Contr., vol. 41. no. 5, pp. 724–739, Sept. 1994.
    • (1994) IEEE Trans. Ultrason., Ferroelec., Freq. Contr. , vol.41 , Issue.5 , pp. 724-739
    • Lu, J.1    Greenleaf, J. F.2
  • 37
    • 3342977104 scopus 로고
    • Steering of limited diffraction beams with a two-dimensional array transducer
    • 92CH3118-7
    • “Steering of limited diffraction beams with a two-dimensional array transducer”, in IEEE 1992 Ultrason. Symp. Proc., 92CH3118-7, vol. 1, pp. 603–607, 1992.
    • (1992) IEEE 1992 Ultrason. Symp. Proc. , vol.1 , pp. 603-607
    • Lu, J.1    Greenleaf, J. F.2
  • 38
    • 3342965116 scopus 로고
    • Formation and propagation of limited diffraction beams
    • Y. Wei and B.-L. Gu, Eds
    • “Formation and propagation of limited diffraction beams”, Acoust. Imag., Y. Wei and B.-L. Gu, Eds., vol. 20, pp. 331–343, 1993.
    • (1993) Acoust. Imag. , vol.20 , pp. 331-343
    • Lu, J.1    Greenleaf, J. F.2
  • 39
    • 84911329988 scopus 로고
    • A novel imaging system based on nondiffracting X waves
    • 92CH3118-7
    • M. Fatemi and M. A. Arad, “A novel imaging system based on nondiffracting X waves”, in IEEE 1992 Ultrason. Symp. Proc., 92CH3118-7, vol. 1, pp. 609–612, 1992.
    • (1992) IEEE 1992 Ultrason. Symp. Proc. , vol.1 , pp. 609-612
    • Fatemi, M.1    Arad, M.A.2
  • 40
    • 0039861909 scopus 로고
    • Comparison of sidelobes of limited diffraction beams and localized waves
    • J. P. Jones, Ed., to be published
    • J. Lu and J. F. Greenleaf, “Comparison of sidelobes of limited diffraction beams and localized waves”, Acoust. Imag., J. P. Jones, Ed., vol. 21 (to be published in 1995).
    • (1995) Acoust. Imag. , vol.21
    • Lu, J.1    Greenleaf, J.F.2
  • 41
    • 3342968604 scopus 로고
    • Simulation of imaging contrast of nondiffracting beam transducer
    • S4, Mar.
    • “Simulation of imaging contrast of nondiffracting beam transducer”, J. Ultrasound Med., vol. 10, no. 3 (suppl.), p. S4, Mar. 1991 (abs.).
    • (1991) J. Ultrasound Med , vol.10 , Issue.3
    • Lu, J.1    Greenleaf, J.F.2
  • 42
    • 3342925161 scopus 로고
    • Experiment of imaging contrast of J0 Bessel nondiffracting beam transducer
    • S43, Mar.
    • “Experiment of imaging contrast of J 0 Bessel nondiffracting beam transducer”, J. Ultrasound Med., vol. 11, no. 3 (suppl.), p. S43, Mar. 1992 (abs.).
    • (1992) J. Ultrasound Med. , vol.11 , Issue.3
    • Lu, J.1    Greenleaf, J.F.2
  • 43
    • 0006197987 scopus 로고
    • A new method of image formation with annular apertures and application in radio astronomy
    • J. P. Wild, “A new method of image formation with annular apertures and application in radio astronomy”, in Proc. Royal Soc. A, vol. 286, pp. 499–509, 1965.
    • (1965) Proc. Royal Soc. A , vol.286 , pp. 499-509
    • Wild, J.P.1
  • 44
    • 0016348979 scopus 로고
    • Methods for increasing the lateral resolution of B-scan
    • P. S. Green, Ed.
    • C. B. Burckhardt, P. A. Grandchamp, and H. Hoffmann, “Methods for increasing the lateral resolution of B-scan”, Acoustic Holography, P. S. Green, Ed., vol. 5, pp. 391–413, 1973.
    • (1973) Acoustic Holography , vol.5 , pp. 391-413
    • Burckhardt, C.B.1    Grandchamp, P.A.2    Hoffmann, H.3
  • 45
    • 0016334566 scopus 로고
    • Acoustic imaging with thin annular apertures
    • P. S. Green, Ed.
    • D. Vilkomerson, “Acoustic imaging with thin annular apertures”, Acoustic Holography, P. S. Green, Ed., vol. 5, pp. 283–316, 1973.
    • (1973) Acoustic Holography , vol.5 , pp. 283-316
    • Vilkomerson, D.1
  • 46
    • 0000813697 scopus 로고
    • The Axicon: A new type of optical element
    • Aug.
    • J. H. McLeod, “The Axicon: A new type of optical element”, J. Opt. Soc. Amer., vol. 44, no. 8, pp. 592–597, Aug. 1954.
    • (1954) J. Opt. Soc. Amer , vol.44 , Issue.8 , pp. 592-597
    • McLeod, J.H.1
  • 47
    • 0015722111 scopus 로고
    • Ultrasound axicon: A device for focusing over a large depth
    • Dec.
    • C. B. Burckhardt, H. Hoffmann, and P. A. Grandchamp, “Ultrasound axicon: A device for focusing over a large depth”, J. Acoust. Soc. Amer., vol. 54, no. 6, pp. 1628–1630, Dec. 1973.
    • (1973) J. Acoust. Soc. Amer , vol.54 , Issue.6 , pp. 1628-1630
    • Burckhardt, C.B.1    Hoffmann, H.2    Grandchamp, P.A.3
  • 48
    • 0019523621 scopus 로고
    • The conical scanner: A two transducer ultrasound scatter imaging technique
    • Apr.
    • F. S. Foster, M. S. Patterson, M. Arditi, and J. W. Hunt, “The conical scanner: A two transducer ultrasound scatter imaging technique”, Ultrason. Imag., vol. 3, no. 1, pp. 62–82, Apr. 1981.
    • (1981) Ultrason. Imag. , vol.3 , Issue.1 , pp. 62-82
    • Foster, F.S.1    Patterson, M. S.2    Arditi, M.3    Hunt, J.W.4
  • 49
    • 0016441449 scopus 로고
    • Focusing ultrasound over a large depth with an annular transducer—An alternative method
    • Jan.
    • C. B. Burckhardt, P. A. Grandchamp, and H. Hoffmann, “Focusing ultrasound over a large depth with an annular transducer—An alternative method”, IEEE Trans. Sonics Ultrason., vol. SU-22, no. 1, pp. 11–15 Jan. 1975.
    • (1975) IEEE Trans. Sonics Ultrason , vol.SU-22 , Issue.1 , pp. 11-15
    • Burckhardt, C.B.1    Grandchamp, P.A.2    Hoffmann, H.3
  • 50
    • 0016629201 scopus 로고
    • High-resolution B-scan systems using (: Circular array
    • N. Booth, Ed.
    • A. Macovski and S. J. Norton, “High-resolution B-scan systems using (: Circular array”, Acoustic Holography, N. Booth, Ed., vol. 6, pp. 121–143 1975.
    • (1975) Acoustic Holography , vol.6 , pp. 121-143
    • Macovski, A.1    Norton, S.J.2
  • 51
    • 84967805394 scopus 로고
    • Sidelobe suppression in annular array and axicor imaging systems
    • June
    • M. Moshfeghi, “Sidelobe suppression in annular array and axicor imaging systems”, J. Acoust. Soc. Amer., vol. 83, no. 6, pp. 2202–2209 June 1988.
    • (1988) J. Acoust. Soc. Amer , vol.83 , Issue.6 , pp. 2202-2209
    • Moshfeghi, M.1
  • 52
    • 0027867058 scopus 로고
    • A study of sidelobe reduction for limitec diffraction beams
    • 93CH3301-9
    • J. Lu and J. F. Greenleaf, “A study of sidelobe reduction for limitec diffraction beams”, in IEEE 1993 Ultrason. Symp. Proc., 93CH3301-9 vol. 2, pp. 1077–1082, 1993.
    • (1993) IEEE 1993 Ultrason. Symp. Proc. , vol.2 , pp. 1077-1082
    • Lu, J.1    Greenleaf, J.F.2
  • 53
    • 3343018289 scopus 로고
    • Sidelobe and speckle reduction for an eight sector conical scanner
    • 81CH1689-9
    • M. S. Patterson, F. S. Foster, and D. Lee, “Sidelobe and speckle reduction for an eight sector conical scanner”, in IEEE 1981 Ultrason. Symp. Proc., 81CH1689-9, vol. 2, pp. 632–637, 1981.
    • (1981) IEEE 1981 Ultrason. Symp. Proc., 81CH , vol.2 , pp. 632-637
    • Patterson, M.S.1    Foster, F.S.2    Lee, D.3
  • 54
    • 3342994278 scopus 로고
    • Sidelobe reduction of nondiffracting pulse-echo images by deconvolution
    • Apr.
    • J. Lu and J. F. Greenleaf, “Sidelobe reduction of nondiffracting pulse-echo images by deconvolution”, Ultrason. Imag., vol. 14, no. 2, p. 203 Apr. 1992 (abs.).
    • (1992) Ultrason. Imag. , vol.14 , Issue.2 , pp. 203
    • Lu, J.1    Greenleaf, J.F.2
  • 55
    • 0024270540 scopus 로고
    • The Maltese cross processor: Speckle reduction for circular transducers
    • July
    • S. W. Smith and O. T. von Ramm, “The Maltese cross processor: Speckle reduction for circular transducers”, Ultrason. Imag., vol. 10, no. 3, pp. 153–170, July 1988.
    • (1988) Ultrason. Imag. , vol.10 , Issue.3 , pp. 153-170
    • Smith, S.W.1    vonRamm, O.T.2
  • 56
    • 0020100008 scopus 로고
    • Acoustic fields of conical radiators
    • Mar.
    • M. S. Patterson and F. S. Foster, “Acoustic fields of conical radiators”, IEEE Trans. Sonics Ultrason., vol. SU-29, no. 2, pp. 83–92, Mar. 1982.
    • (1982) IEEE Trans. Sonics Ultrason , vol.SU-29 , Issue.2 , pp. 83-92
    • Patterson, M.S.1    Foster, F.S.2
  • 57
    • 0003793552 scopus 로고
    • Digital Signal Processing
    • Englewood Cliffs, NJ: Prentice-Hall
    • A. V. Oppenheim and R. W. Schafer, Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1975, ch. 5.
    • (1975)
    • Oppenheim, A.V.1    Schafer, R.W.2
  • 58
    • 0004080484 scopus 로고
    • Introduction to Fourier Optics
    • New York: McGraw-Hill
    • J. W. Goodman, Introduction to Fourier Optics. New York: McGraw-Hill, 1968, ch. 2–4.
    • (1968)
    • Goodman, J.W.1
  • 59
    • 0003488984 scopus 로고
    • The Fourier Transform and its Applications
    • New York: McGraw-Hill, ch. 4 and 6
    • R. Bracewell, The Fourier Transform and its Applications. New York: McGraw-Hill, 1965, ch. 4 and 6.
    • (1965)
    • Bracewell, R.1
  • 60
    • 0003952728 scopus 로고
    • Methods of Theoretical Physics, Part I
    • New York: McGraw-Hill
    • P. M. Morse and H. Feshbach, Methods of Theoretical Physics, Part I. New York: McGraw-Hill, 1953, ch. 4-7.
    • (1953) , pp. 4-7
    • Morse, P.M.1    Feshbach, H.2


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