Abstract

We present new results demonstrating the capability of performing computed tomography (CT) using broadband Bessel terahertz (THz) beams. Nondiffractive beams such as these exhibit propagation-invariant lines of focus with an extended depth-of-field compared to conventional Gaussian beams. Using this property, we demonstrate a considerable improvement in the 3D reconstruction image of a synthetic sample through the backprojection algorithm. Only when THz Bessel beams are used, a full reconstruction of the object structure is made. Moreover, we use phase-contrast mechanism which improves the spatial resolution and reconstructed images. Our results highlight the potential in using nondiffractive Bessel beams to significantly improve 3D-image reconstruction of THz CT.

© 2014 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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2013

2012

2011

2010

E. Abraham, A. Younus, C. Aguerre, P. Desbarats, and P. Mounaix, Opt. Commun. 283, 2050 (2010).
[CrossRef]

A. Brahm, M. Kunz, S. Riehemann, G. Notni, and A. Tunnermann, Appl. Phys. B 100, 151 (2010).
[CrossRef]

2009

X. Yin, B. W. H. Ng, B. Ferguson, and D. Abbott, Digital Signal Processing 19, 750 (2009).
[CrossRef]

2008

2007

W. L. Chan, J. Deibel, and D. M. Mittleman, Rep. Prog. Phys. 70, 1325 (2007).
[CrossRef]

2005

M. M. Awad and R. A. Cheville, Appl. Phys. Lett. 86, 221107 (2005).
[CrossRef]

2004

S. Wang and X.-C. Zhang, J. Phys. D 37, R31 (2004).

2003

S. Wang, B. Ferguson, D. Abbott, and X.-C. Zhang, J. Biol. Phys. 29, 247 (2003).
[CrossRef]

2002

1997

Abbot, D.

Abbott, D.

X. Yin, B. W. H. Ng, B. Ferguson, and D. Abbott, Digital Signal Processing 19, 750 (2009).
[CrossRef]

S. Wang, B. Ferguson, D. Abbott, and X.-C. Zhang, J. Biol. Phys. 29, 247 (2003).
[CrossRef]

X. X. Yin, B. W. H. Ng, B. Freguson, S. P. Mickan, and D. Abbott, IEEE Proceedings of the International Symposium on Industrial Electronics (2007), p. 3409.

Abraham, E.

Aguerre, C.

E. Abraham, A. Younus, C. Aguerre, P. Desbarats, and P. Mounaix, Opt. Commun. 283, 2050 (2010).
[CrossRef]

Awad, M. M.

M. M. Awad and R. A. Cheville, Appl. Phys. Lett. 86, 221107 (2005).
[CrossRef]

Beckmann, J.

D. Fratzscher, J. Beckmann, L. S. Von Chranowski, and U. Ewert, “Computed THz-tomography,” 18th World Conference on Nondestructive Testing, Durban, South Africa, April16–20, 2012.

Bessou, M.

Bitman, A.

A. Bitman, I. Moshe, and Z. Zalevsky, Opt. Commun. 309, 1 (2013).
[CrossRef]

A. Bitman, I. Moshe, and Z. Zalevsky, Opt. Lett. 37, 4164 (2012).
[CrossRef]

Boivin, L.

Brahm, A.

A. Brahm and A. Tunnermann, Photon. Spectra 45, 40(2011).

A. Brahm, M. Kunz, S. Riehemann, G. Notni, and A. Tunnermann, Appl. Phys. B 100, 151 (2010).
[CrossRef]

Canioni, L.

Caumes, J. P.

Caumes, J.-P.

Chan, W. L.

W. L. Chan, J. Deibel, and D. M. Mittleman, Rep. Prog. Phys. 70, 1325 (2007).
[CrossRef]

Chassagne, B.

Chassaqne, B.

Chen, Z.

Cheville, R. A.

M. M. Awad and R. A. Cheville, Appl. Phys. Lett. 86, 221107 (2005).
[CrossRef]

Deibel, J.

W. L. Chan, J. Deibel, and D. M. Mittleman, Rep. Prog. Phys. 70, 1325 (2007).
[CrossRef]

Desbarats, P.

Ding, Z.

Domenger, J. P.

Ewers, B.

B. Ewers, A. Kupsch, A. Lange, B. R. Muller, A. Hoel, R. Muller, and G. Ulm, 34th International Conference IRMMW-THz (2009).

Ewert, U.

D. Fratzscher, J. Beckmann, L. S. Von Chranowski, and U. Ewert, “Computed THz-tomography,” 18th World Conference on Nondestructive Testing, Durban, South Africa, April16–20, 2012.

Ferguson, B.

X. Yin, B. W. H. Ng, B. Ferguson, and D. Abbott, Digital Signal Processing 19, 750 (2009).
[CrossRef]

S. Wang, B. Ferguson, D. Abbott, and X.-C. Zhang, J. Biol. Phys. 29, 247 (2003).
[CrossRef]

B. Ferguson, S. Wang, D. Gray, D. Abbot, and X.-C. Zhang, Opt. Lett. 27, 1312 (2002).
[CrossRef]

Fratzscher, D.

D. Fratzscher, J. Beckmann, L. S. Von Chranowski, and U. Ewert, “Computed THz-tomography,” 18th World Conference on Nondestructive Testing, Durban, South Africa, April16–20, 2012.

Freguson, B.

X. X. Yin, B. W. H. Ng, B. Freguson, S. P. Mickan, and D. Abbott, IEEE Proceedings of the International Symposium on Industrial Electronics (2007), p. 3409.

Gray, D.

Hangyo, M.

H. Kitahara, M. Tani, and M. Hangyo, IEEE Proceedings of the 35th International Conference on Infrared Millimeter and Terahertz Waves (IRMMW-THz) (2010), p. 1.

Hoel, A.

B. Ewers, A. Kupsch, A. Lange, B. R. Muller, A. Hoel, R. Muller, and G. Ulm, 34th International Conference IRMMW-THz (2009).

Hunsche, S.

Kak, A. C.

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (IEEE, 1988).

Kitahara, H.

H. Kitahara, M. Tani, and M. Hangyo, IEEE Proceedings of the 35th International Conference on Infrared Millimeter and Terahertz Waves (IRMMW-THz) (2010), p. 1.

Kunz, M.

A. Brahm, M. Kunz, S. Riehemann, G. Notni, and A. Tunnermann, Appl. Phys. B 100, 151 (2010).
[CrossRef]

Kupsch, A.

B. Ewers, A. Kupsch, A. Lange, B. R. Muller, A. Hoel, R. Muller, and G. Ulm, 34th International Conference IRMMW-THz (2009).

Lange, A.

B. Ewers, A. Kupsch, A. Lange, B. R. Muller, A. Hoel, R. Muller, and G. Ulm, 34th International Conference IRMMW-THz (2009).

Lee, K.-S.

Maire, P.

Mickan, S. P.

X. X. Yin, B. W. H. Ng, B. Freguson, S. P. Mickan, and D. Abbott, IEEE Proceedings of the International Symposium on Industrial Electronics (2007), p. 3409.

Mittleman, D. M.

W. L. Chan, J. Deibel, and D. M. Mittleman, Rep. Prog. Phys. 70, 1325 (2007).
[CrossRef]

D. M. Mittleman, S. Hunsche, L. Boivin, and M. C. Nuss, Opt. Lett. 22, 904 (1997).
[CrossRef]

Moshe, I.

A. Bitman, I. Moshe, and Z. Zalevsky, Opt. Commun. 309, 1 (2013).
[CrossRef]

A. Bitman, I. Moshe, and Z. Zalevsky, Opt. Lett. 37, 4164 (2012).
[CrossRef]

Mounaix, P.

Muller, B. R.

B. Ewers, A. Kupsch, A. Lange, B. R. Muller, A. Hoel, R. Muller, and G. Ulm, 34th International Conference IRMMW-THz (2009).

Muller, R.

B. Ewers, A. Kupsch, A. Lange, B. R. Muller, A. Hoel, R. Muller, and G. Ulm, 34th International Conference IRMMW-THz (2009).

Ng, B. W. H.

X. Yin, B. W. H. Ng, B. Ferguson, and D. Abbott, Digital Signal Processing 19, 750 (2009).
[CrossRef]

X. X. Yin, B. W. H. Ng, B. Freguson, S. P. Mickan, and D. Abbott, IEEE Proceedings of the International Symposium on Industrial Electronics (2007), p. 3409.

Notni, G.

A. Brahm, M. Kunz, S. Riehemann, G. Notni, and A. Tunnermann, Appl. Phys. B 100, 151 (2010).
[CrossRef]

Nuss, M. C.

Otani, C.

Pardere, C.

Recur, B.

Ren, H.

Riehemann, S.

A. Brahm, M. Kunz, S. Riehemann, G. Notni, and A. Tunnermann, Appl. Phys. B 100, 151 (2010).
[CrossRef]

Rolland, J. P.

Saleh, B. E. A.

B. E. A. Saleh and M. C. Teich, Fundamentals of Phonics (Wiley, 2007).

Salort, S.

Sasahara, T.

Sasaki, Y.

Slaney, M.

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (IEEE, 1988).

Stuart Nelson, J.

Suga, M.

Tani, M.

H. Kitahara, M. Tani, and M. Hangyo, IEEE Proceedings of the 35th International Conference on Infrared Millimeter and Terahertz Waves (IRMMW-THz) (2010), p. 1.

Teich, M. C.

B. E. A. Saleh and M. C. Teich, Fundamentals of Phonics (Wiley, 2007).

Tondusson, M.

Tunnermann, A.

A. Brahm and A. Tunnermann, Photon. Spectra 45, 40(2011).

A. Brahm, M. Kunz, S. Riehemann, G. Notni, and A. Tunnermann, Appl. Phys. B 100, 151 (2010).
[CrossRef]

Ulm, G.

B. Ewers, A. Kupsch, A. Lange, B. R. Muller, A. Hoel, R. Muller, and G. Ulm, 34th International Conference IRMMW-THz (2009).

Von Chranowski, L. S.

D. Fratzscher, J. Beckmann, L. S. Von Chranowski, and U. Ewert, “Computed THz-tomography,” 18th World Conference on Nondestructive Testing, Durban, South Africa, April16–20, 2012.

Wang, S.

S. Wang and X.-C. Zhang, J. Phys. D 37, R31 (2004).

S. Wang, B. Ferguson, D. Abbott, and X.-C. Zhang, J. Biol. Phys. 29, 247 (2003).
[CrossRef]

B. Ferguson, S. Wang, D. Gray, D. Abbot, and X.-C. Zhang, Opt. Lett. 27, 1312 (2002).
[CrossRef]

Yin, X.

X. Yin, B. W. H. Ng, B. Ferguson, and D. Abbott, Digital Signal Processing 19, 750 (2009).
[CrossRef]

Yin, X. X.

X. X. Yin, B. W. H. Ng, B. Freguson, S. P. Mickan, and D. Abbott, IEEE Proceedings of the International Symposium on Industrial Electronics (2007), p. 3409.

Younus, A.

Yuasa, T.

Zalevsky, Z.

A. Bitman, I. Moshe, and Z. Zalevsky, Opt. Commun. 309, 1 (2013).
[CrossRef]

A. Bitman, I. Moshe, and Z. Zalevsky, Opt. Lett. 37, 4164 (2012).
[CrossRef]

Zhang, X.-C.

S. Wang and X.-C. Zhang, J. Phys. D 37, R31 (2004).

S. Wang, B. Ferguson, D. Abbott, and X.-C. Zhang, J. Biol. Phys. 29, 247 (2003).
[CrossRef]

B. Ferguson, S. Wang, D. Gray, D. Abbot, and X.-C. Zhang, Opt. Lett. 27, 1312 (2002).
[CrossRef]

Zhao, Y.

Appl. Opt.

Appl. Phys. B

A. Brahm, M. Kunz, S. Riehemann, G. Notni, and A. Tunnermann, Appl. Phys. B 100, 151 (2010).
[CrossRef]

Appl. Phys. Lett.

M. M. Awad and R. A. Cheville, Appl. Phys. Lett. 86, 221107 (2005).
[CrossRef]

Digital Signal Processing

X. Yin, B. W. H. Ng, B. Ferguson, and D. Abbott, Digital Signal Processing 19, 750 (2009).
[CrossRef]

J. Biol. Phys.

S. Wang, B. Ferguson, D. Abbott, and X.-C. Zhang, J. Biol. Phys. 29, 247 (2003).
[CrossRef]

J. Phys. D

S. Wang and X.-C. Zhang, J. Phys. D 37, R31 (2004).

Opt. Commun.

E. Abraham, A. Younus, C. Aguerre, P. Desbarats, and P. Mounaix, Opt. Commun. 283, 2050 (2010).
[CrossRef]

A. Bitman, I. Moshe, and Z. Zalevsky, Opt. Commun. 309, 1 (2013).
[CrossRef]

Opt. Express

Opt. Lett.

Photon. Spectra

A. Brahm and A. Tunnermann, Photon. Spectra 45, 40(2011).

Rep. Prog. Phys.

W. L. Chan, J. Deibel, and D. M. Mittleman, Rep. Prog. Phys. 70, 1325 (2007).
[CrossRef]

Other

D. Fratzscher, J. Beckmann, L. S. Von Chranowski, and U. Ewert, “Computed THz-tomography,” 18th World Conference on Nondestructive Testing, Durban, South Africa, April16–20, 2012.

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (IEEE, 1988).

X. X. Yin, B. W. H. Ng, B. Freguson, S. P. Mickan, and D. Abbott, IEEE Proceedings of the International Symposium on Industrial Electronics (2007), p. 3409.

B. Ewers, A. Kupsch, A. Lange, B. R. Muller, A. Hoel, R. Muller, and G. Ulm, 34th International Conference IRMMW-THz (2009).

H. Kitahara, M. Tani, and M. Hangyo, IEEE Proceedings of the 35th International Conference on Infrared Millimeter and Terahertz Waves (IRMMW-THz) (2010), p. 1.

B. E. A. Saleh and M. C. Teich, Fundamentals of Phonics (Wiley, 2007).

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Figures (8)

Fig. 1.
Fig. 1.

(a) Sample top view photograph and (b) a schematic top view. The distance between following couples is D=10mm. The distance between joined capillary tubes is d=2mm.

Fig. 2.
Fig. 2.

(a)–(c) Phase transmission images of the capillary tubes sample for THz Bessel beams and (d)–(f) THz Gaussian beams captured at (a) and (d) 0°, (b) and (e) 90°, and (c) and (f) 170°.

Fig. 3.
Fig. 3.

X-ray image of the capillary tubes sample. Note that the x-ray photograph was captured at zero rotational angle and at approximately 45° with respect to the horizontal plane.

Fig. 4.
Fig. 4.

Cross section of the sample at y=25mm for (a) THz Bessel and (b) Gaussian beams.

Fig. 5.
Fig. 5.

Photograph of the Lion effigy.

Fig. 6.
Fig. 6.

Power transmission image of the Lion effigy measured at (a) THz Bessel and (b) Gaussian beams.

Fig. 7.
Fig. 7.

Phase transmission image of the Lion effigy measured at (a) THz Bessel and (b) Gaussian beams.

Fig. 8.
Fig. 8.

Reconstruction image of the Lion effigy which was measured with THz Bessel beams.

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

g(φ,s,y0)=f(x,y0,z)·δ(xsin(φ)zcos(φ)s)dxdz,
G(φ,μ,y0)=exp(jμs)·g(φ,s,y0)ds.
f(x,y0,z)=14π2G(φ,μ,y0)·exp(jμ(xsin(φ)zcos(φ)))·|μ|dμdφ.

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