Phase from chromatic aberrations

doi:10.1364/OE.18.022817

Phase from chromatic aberrations

Laura Waller, Shan Shan Kou, Colin J. R. Sheppard, and George Barbastathis »View Author Affiliations

Optics Express, Vol. 18, Issue 22, pp. 22817-22825 (2010)
http://dx.doi.org/10.1364/OE.18.022817

View Full Text Article

Enhanced HTML Acrobat PDF (1096 KB)

Journal Search
Article Lookup

Article Tools

Citations

Alert me when this article is cited
Export Citation/Save

Abstract
Article Info
References (32)
Cited By
Figures (7)
Multimedia (2)
Metrics
Related Content

Abstract

We show that phase objects may be computed accurately from a single color image in a brightfield microscope, with no hardware modification. Our technique uses the chromatic aberration that is inherent to every lens-based imaging system as a phase contrast mechanism. This leads to a simple and inexpensive way of achieving single-shot quantitative phase recovery by a modified Transport of Intensity Equation (TIE) solution, allowing real-time phase imaging in a traditional microscope.

OCIS Codes
(100.5070) Image processing : Phase retrieval
(180.0180) Microscopy : Microscopy

ToC Category:
Image Processing

History
Original Manuscript: August 17, 2010
Revised Manuscript: September 26, 2010
Manuscript Accepted: October 7, 2010
Published: October 13, 2010

Virtual Issues
Vol. 6, Iss. 1 Virtual Journal for Biomedical Optics

Citation
Laura Waller, Shan Shan Kou, Colin J. R. Sheppard, and George Barbastathis, "Phase from chromatic aberrations," Opt. Express 18, 22817-22825 (2010)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=oe-18-22-22817

Sort: Author | Year | Journal | Reset

References

F. Zernike, “How I discovered phase contrast,” Science 121(3141), 345–349 (1955). [CrossRef] [PubMed]
C. J. R. Sheppard, “Defocused transfer function for a partially coherent microscope and application to phase retrieval,” J. Opt. Soc. Am. A 21(5), 828–831 (2004). [CrossRef]
H. Hopkins, “The frequency response of a defocused optical system,” Proc. Royal Soc. London, Ser. A 231(1184), 91–103 (1955). [CrossRef]
F. Zernike, “Phase contrast, a new method for the microscopic observation of transparent objects,” Physica 9(7), 686–698 (1942). [CrossRef]
P. Marquet, B. Rappaz, P. J. Magistretti, E. Cuche, Y. Emery, T. Colomb, and C. Depeursinge, “Digital holographic microscopy: a noninvasive contrast imaging technique allowing quantitative visualization of living cells with subwavelength axial accuracy,” Opt. Lett. 30(5), 468–470 (2005). [CrossRef] [PubMed]
G. Popescu, L. P. Deflores, J. C. Vaughan, K. Badizadegan, H. Iwai, R. R. Dasari, and M. S. Feld, “Fourier phase microscopy for investigation of biological structures and dynamics,” Opt. Lett. 29(21), 2503–2505 (2004). [CrossRef] [PubMed]
J. Millerd, N. Brock, J. Hayes, M. North-Morris, B. Kimbrough, and J. Wyant, Fringe 2005: Pixelated Phase-mask Dynamic Interferometers (Springer, 2003).
B. C. Platt and R. Shack, “History and principles of Shack–Hartmann wavefront sensing,” J. Refract. Surg. 17(5), S573–S577 (2001). [PubMed]
X. Cui, J. Ren, G. J. Tearney, and C. Yang, “Wavefront image sensor chip,” Opt. Express 18(16), 16685–16701 (2010). [CrossRef] [PubMed]
L. Waller, and G. Barbastathis, “Phase from Defocused Color Images,” in Frontiers in Optics, OSA Technical Digest (CD) (Optical Society of America, 2009), paper FThR3.
M. Born, and E. Wolf, Principles of Optics (Cambridge Univ. Press, 1999).
H. King, The History of the Telescope (Dover, 2003).
M. Teague, “Deterministic phase retrieval: a Green’s function solution,” J. Opt. Soc. Am. A 73, 1434–1441(1983). [CrossRef]
D. Paganin and K. Nugent, “Noninterferometric phase imaging with partially coherent light,” Phys. Rev. Lett. 80(12), 2586–2589 (1998). [CrossRef]
E. D. Barone-Nugent, A. Barty, and K. A. Nugent, “Quantitative phase-amplitude microscopy I: optical microscopy,” J. Microsc. 206(Pt 3), 194–203 (2002). [CrossRef] [PubMed]
N. Streibl, “Phase imaging by the transport of equation of intensity,” Opt. Commun. 49(1), 6–10 (1984). [CrossRef]
L. Waller, Y. Luo, S.-Y. Yang, and G. Barbastathis, “Transport of intensity phase imaging in a volume holographic microscope,” Opt. Lett. 35(17), 2961–2963 (2010). [CrossRef] [PubMed]
S. S. Kou, L. Waller, G. Barbastathis, and C. J. Sheppard, “Transport-of-intensity approach to differential interference contrast (TI-DIC) microscopy for quantitative phase imaging,” Opt. Lett. 35(3), 447–449 (2010). [CrossRef] [PubMed]
L. Waller, L. Tian, and G. Barbastathis, “Transport of Intensity phase-amplitude imaging with higher order intensity derivatives,” Opt. Express 18(12), 12552–12561 (2010). [CrossRef] [PubMed]
M. Beleggia, M. Schofield, V. Volkov, and Y. Zhu, “On the transport of intensity technique for phase retrieval,” Ultramicroscopy 102, 37–49 (2004). [CrossRef] [PubMed]
J. Goodman, Introduction to Fourier Optics, (McGraw-Hill, 1996).
B. Saleh, and M. Teich, Fundamentals of Photonics (John Wiley & Sons, 2010).
T. Gureyev and S. Wilkins, “On X-ray phase retrieval from polychromatic images," Opt. Commun. 147, 229–232 (1998) (Erratum: Opt. Commun. 154, 391). [CrossRef]
T. E. Gureyev, S. Mayo, S. W. Wilkins, D. Paganin, and A. W. Stevenson, “Quantitative in-line phase-contrast imaging with multienergy X rays,” Phys. Rev. Lett. 86(25), 5827–5830 (2001). [CrossRef] [PubMed]
M. A. Anastasio, Q. Xu, and D. Shi, “Multispectral intensity diffraction tomography: single material objects with variable densities,” J. Opt. Soc. Am. A 26(2), 403–412 (2009). [CrossRef]
G. Strang, Computational Science and Engineering (Wellesley-Cambridge Press, 2010).
L. Allen and M. Oxley, “Phase retrieval from series of images obtained by defocus variation,” Opt. Commun. 199(1-4), 65–75 (2001). [CrossRef]
N. Loomis, L. Waller, G. Barbastathis, “High-speed phase recovery using chromatic transport of intensity computation in graphics processing units,” Proc. Digital Holography meeting of the OSA: JMA7 (2010).
G. Molesini and F. Quercioli, “Pseudocolor effects of longitudinal chromatic aberration,” J. Opt. (Paris) 17, 279–282 (1986).
J. S. Courtney-Pratt and R. L. Gregory, “Microscope with enhanced depth of field and 3-D capability,” Appl. Opt. 12(10), 2509–2519 (1973). [CrossRef] [PubMed]
T. Bifano, R. K. Mali, J. K. Dorton, J. A. Perreault, N. Vandelli, M. N. Horenstein, and D. A. Castanon, “Continuous-membrane silicon deformable mirror,” Opt. Eng. 36, 1354–1360 (1997). [CrossRef]
A. M. Zysk, R. W. Schoonover, P. S. Carney, and M. A. Anastasio, “Transport of intensity and spectrum for partially coherent fields,” Opt. Lett. 35(13), 2239–2241 (2010). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Click here to see a list of articles that cite this paper

Figures


Fig. 1	Fig. 2	Fig. 3


Fig. 4	Fig. 5	Fig. 6


Fig. 7

Multimedia

Multimedia Files	Recommended Software
» Media 1: MPEG (1863 KB)	QuickTime
» Media 2: MPEG (1076 KB)	QuickTime

« Previous Article | Next Article »

OSA is a member of CrossRef.

[1] F. Zernike, “How I discovered phase contrast,” Science 121(3141), 345–349 (1955). [CrossRef] [PubMed]

[2] C. J. R. Sheppard, “Defocused transfer function for a partially coherent microscope and application to phase retrieval,” J. Opt. Soc. Am. A 21(5), 828–831 (2004). [CrossRef]

[3] H. Hopkins, “The frequency response of a defocused optical system,” Proc. Royal Soc. London, Ser. A 231(1184), 91–103 (1955). [CrossRef]

[4] F. Zernike, “Phase contrast, a new method for the microscopic observation of transparent objects,” Physica 9(7), 686–698 (1942). [CrossRef]

[5] P. Marquet, B. Rappaz, P. J. Magistretti, E. Cuche, Y. Emery, T. Colomb, and C. Depeursinge, “Digital holographic microscopy: a noninvasive contrast imaging technique allowing quantitative visualization of living cells with subwavelength axial accuracy,” Opt. Lett. 30(5), 468–470 (2005). [CrossRef] [PubMed]

[6] G. Popescu, L. P. Deflores, J. C. Vaughan, K. Badizadegan, H. Iwai, R. R. Dasari, and M. S. Feld, “Fourier phase microscopy for investigation of biological structures and dynamics,” Opt. Lett. 29(21), 2503–2505 (2004). [CrossRef] [PubMed]

[7] J. Millerd, N. Brock, J. Hayes, M. North-Morris, B. Kimbrough, and J. Wyant, Fringe 2005: Pixelated Phase-mask Dynamic Interferometers (Springer, 2003).

[8] B. C. Platt and R. Shack, “History and principles of Shack–Hartmann wavefront sensing,” J. Refract. Surg. 17(5), S573–S577 (2001). [PubMed]

[9] X. Cui, J. Ren, G. J. Tearney, and C. Yang, “Wavefront image sensor chip,” Opt. Express 18(16), 16685–16701 (2010). [CrossRef] [PubMed]

[10] L. Waller, and G. Barbastathis, “Phase from Defocused Color Images,” in Frontiers in Optics, OSA Technical Digest (CD) (Optical Society of America, 2009), paper FThR3.

[11] M. Born, and E. Wolf, Principles of Optics (Cambridge Univ. Press, 1999).

[12] H. King, The History of the Telescope (Dover, 2003).

[13] M. Teague, “Deterministic phase retrieval: a Green’s function solution,” J. Opt. Soc. Am. A 73, 1434–1441(1983). [CrossRef]

[14] D. Paganin and K. Nugent, “Noninterferometric phase imaging with partially coherent light,” Phys. Rev. Lett. 80(12), 2586–2589 (1998). [CrossRef]

[15] E. D. Barone-Nugent, A. Barty, and K. A. Nugent, “Quantitative phase-amplitude microscopy I: optical microscopy,” J. Microsc. 206(Pt 3), 194–203 (2002). [CrossRef] [PubMed]

[16] N. Streibl, “Phase imaging by the transport of equation of intensity,” Opt. Commun. 49(1), 6–10 (1984). [CrossRef]

[17] L. Waller, Y. Luo, S.-Y. Yang, and G. Barbastathis, “Transport of intensity phase imaging in a volume holographic microscope,” Opt. Lett. 35(17), 2961–2963 (2010). [CrossRef] [PubMed]

[18] S. S. Kou, L. Waller, G. Barbastathis, and C. J. Sheppard, “Transport-of-intensity approach to differential interference contrast (TI-DIC) microscopy for quantitative phase imaging,” Opt. Lett. 35(3), 447–449 (2010). [CrossRef] [PubMed]

[19] L. Waller, L. Tian, and G. Barbastathis, “Transport of Intensity phase-amplitude imaging with higher order intensity derivatives,” Opt. Express 18(12), 12552–12561 (2010). [CrossRef] [PubMed]

[20] M. Beleggia, M. Schofield, V. Volkov, and Y. Zhu, “On the transport of intensity technique for phase retrieval,” Ultramicroscopy 102, 37–49 (2004). [CrossRef] [PubMed]

[21] J. Goodman, Introduction to Fourier Optics, (McGraw-Hill, 1996).

[22] B. Saleh, and M. Teich, Fundamentals of Photonics (John Wiley & Sons, 2010).

[23] T. Gureyev and S. Wilkins, “On X-ray phase retrieval from polychromatic images," Opt. Commun. 147, 229–232 (1998) (Erratum: Opt. Commun. 154, 391). [CrossRef]

[24] T. E. Gureyev, S. Mayo, S. W. Wilkins, D. Paganin, and A. W. Stevenson, “Quantitative in-line phase-contrast imaging with multienergy X rays,” Phys. Rev. Lett. 86(25), 5827–5830 (2001). [CrossRef] [PubMed]

[25] M. A. Anastasio, Q. Xu, and D. Shi, “Multispectral intensity diffraction tomography: single material objects with variable densities,” J. Opt. Soc. Am. A 26(2), 403–412 (2009). [CrossRef]

[26] G. Strang, Computational Science and Engineering (Wellesley-Cambridge Press, 2010).

[27] L. Allen and M. Oxley, “Phase retrieval from series of images obtained by defocus variation,” Opt. Commun. 199(1-4), 65–75 (2001). [CrossRef]

[28] N. Loomis, L. Waller, G. Barbastathis, “High-speed phase recovery using chromatic transport of intensity computation in graphics processing units,” Proc. Digital Holography meeting of the OSA: JMA7 (2010).

[29] G. Molesini and F. Quercioli, “Pseudocolor effects of longitudinal chromatic aberration,” J. Opt. (Paris) 17, 279–282 (1986).

[30] J. S. Courtney-Pratt and R. L. Gregory, “Microscope with enhanced depth of field and 3-D capability,” Appl. Opt. 12(10), 2509–2519 (1973). [CrossRef] [PubMed]

[31] T. Bifano, R. K. Mali, J. K. Dorton, J. A. Perreault, N. Vandelli, M. N. Horenstein, and D. A. Castanon, “Continuous-membrane silicon deformable mirror,” Opt. Eng. 36, 1354–1360 (1997). [CrossRef]

[32] A. M. Zysk, R. W. Schoonover, P. S. Carney, and M. A. Anastasio, “Transport of intensity and spectrum for partially coherent fields,” Opt. Lett. 35(13), 2239–2241 (2010). [CrossRef] [PubMed]

OpticsInfoBase

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

Phase from chromatic aberrations