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Abstract

Limited diffraction beams, such as Durnin's J ₀ Bessel beam, are a class of nonspreading solutions to the isotropic/homogeneous scalar wave equation. These beams can be approximately produced with finite aperture and energy over a deep depth of field. In this paper, we report the application of a broadband J ₀ Bessel beam to nondestructive evaluation (NDE) of materials. Pulse-echo images of a stainless steel block phantom were obtained with both the Jo Bessel beam and a conventional focused Gaussian beam. Results show that uniformly high resolutions were obtained with the J ₀ Bessel beam over a large distance. In addition, the lateral resolution of the J ₀ Bessel beam is almost independent of the speed of sound of the materials inspected. In contrast, the lateral resolution of images obtained with the conventional focused Gaussian beam changes dramatically with the distance and the focal length of the beam in water is greatly reduced by the steel block. Therefore, limited diffraction beams could be useful for nondestructive evaluation of materials of different speeds of sound. Restoration of pulse-echo images obtained with these beams could be simplified.

Keywords

Bessel beams imaging image restoration limited diffraction beams materials nondestructive evaluation wave equations X waves

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References

Durnin

Exact solutions for nondiffracting beams. I. The scalar theory, J. Opt. Soc. Am. 4, 651–654 (1987).

Brittingham

J. B.

Focus wave modes in homogeneous Maxwell's equations: transverse electric mode, J. Appl. Phys. 54, 1179–1189 (1983).

Ziolkowski

R. W.

Exact solutions of the wave equation with complex source locations, J. Math. Phys. 26, 861–863 (1985).

Ziolkowski

R. W.

Lewis

D. K.

Cook

B. D.

Evidence of localized wave transmission, Phys. Rev. Lett. 62, 147–150 (1989).

Durnin

Miceli

J. J.

Jr. Eberly

J. H.

Diffraction-free beams, Phys. Rev. Lett. 58, 1499–1501 (1987).

Hsu

D. K.

Margetan

F. J.

Thompson

D. O.

Bessel beam ultrasonic transducer: fabrication method and experimental results, Appl. Phys. Lett. 55, 2066–2068 (1989).

J-Y.

Greenleaf

J. F.

Ultrasonic nondiffracting transducer for medical imaging, IEEE Trans. Ultrason. Ferro. Freq. Control 37, 438–447 (1990).

J-Y.

Greenleaf

J. F.

Pulse-echo imaging using a nondiffracting beam transducer, Ultrasound Med. Biol. 17, 265–281 (1991).

J-Y.

Greenleaf

J. F.

Evaluation of a Nondiffracting Transducer for Tissue Characterization, in IEEE 1990 Ultrason. Symp. Proc., Vol. 2, pp. 795–798 (IEEE Cat. No. 90CH2938–9).

10.

J-Y.

Greenleaf

J. F.

Diffraction-limited Beams and Their Applications for Ultrasonic Imaging and Tissue Characterization, in New Developments in Ultrasonic Transducers and Transducer Systems, Lizzi

F. L.

, ed., Proc. SPIE, Vol. 1733, pp. 92–119 (1992).

11.

J-Y.

Greenleaf

J. F.

Formation and propagation of limited diffraction beams, in Acoustic Imaging 20, Gu

Ben-li

, ed. (to be published).

12.

J-Y.

Greenleaf

J. F.

Steering of Limited Diffraction Beams with a Two-dimensional Array Transducer, in IEEE 1992 Ultrason. Symp. Proc., Vol. 1, pp. 603–607 (IEEE Cat. No. 92CH3118–7).

13.

J-Y.

Greenleaf

J. F.

A computational and experimental study of nondiffracting transducer for medical ultrasound, Ultrasonic Imaging 12, 146–147 (1990) (abstract).

14.

J-Y.

Greenleaf

J. F.

Effect on J ₀ Nondiffracting beam of deleting central elements of J0 annular array transducer, Ultrasonic Imaging 13, p. 203 (1991) (abstract).

15.

J-Y.

Greenleaf

J. F.

Simulation of imaging contrast of nondiffracting beam transducers, J. Ultrasound Med. 10, p. S4 (1991) (abstract).

16.

J-Y.

Greenleaf

J. F.

Experiment of imaging contrast of J ₀ Bessel nondiffracting beam transducer, J. Ultrasound Med. 11, p. S43 (1992) (abstract).

17.

J-Y.

Greenleaf

J. F.

Sidelobe reduction of nondiffracting pulse-echo images by deconvolution, Ultrasonic Imaging 14, p. 203 (1992) (abstract).

18.

J-Y.

Greenleaf

J. F.

New development in beam propagation, J. Ultrasound Med. 12, p. S29 (1993) (abstract).

19.

Campbell

J. A.

Soloway

Generation of a nondiffracting beam with frequency independent beam width, J. Acoust. Soc. Am. 88, 2467–2477 (1990).

20.

J-Y.

Greenleaf

J. F.

Nondiffracting X waves — exact solutions to free-space scalar wave equation and their finite aperture realizations, IEEE Trans. Ultrason. Ferro. Freq. Control 39, 19–31 (1992).

21.

J-Y.

Greenleaf

J. F.

Experimental verification of nondiffracting X waves, IEEE Trans. Ultrason. Ferro. Freq. Control 39, 441–446 (1992).

22.

J-Y.

Greenleaf

J. F.

Theory and Acoustic Experiments of Nondiffracting X Waves, in IEEE 1991 Ultrason. Symp. Proc., Vol. 2, pp. 1155–1159 (IEEE Cat. No. 91CH3079–1).

23.

Fatemi

Arad

M. A.

A Novel Imaging System Based on Nondiffracting X Waves, in IEEE 1992 Ultrason. Symp. Proc. Vol. 1, pp. 609–612 (IEEE Cat. No. 92CH3118–7).

24.

Foster

F. S.

Larson

J. D.

Pittaro

R. J.

Corl

P. D.

Greenstein

A. P.

Lum

P. K.

A digital annular array prototype scanner for real-time ultrasound imaging, Ultrasound Med. Biol. 15, 661–672 (1989).

25.

John

Partial Differential Equations (Springer-Verlag, New York, 1982).

26.

Rosenfeld

Kak

A. C.

Digital Picture Processing (Academic Press, New York, 1982).

27.

Fatemi

Arad

M. A.

Ultrasonic Nondiffracting Beam Image Formation and Restoration, in IEEE 1991 Ultrason. Symp. Proc., Vol. 2, pp. 1305–1308 (IEEE Cat. No. 91CH3079–1).

Producing Deep Depth of Field and Depth-Independent Resolution in Nde with Limited Diffraction Beams

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