On incoherent diffractive imaging

Leon M. Lohse; Malte Vassholz; Tim Salditt

doi:10.1107/s2053273321007300

Lohse, Leon M.; Vassholz, Malte; Salditt, Tim

2021-09-01 00:00:00

Incoherent diffractive imaging (IDI) promises structural analysis with atomic resolution based on intensity interferometry of pulsed X‐ray fluorescence emission. However, its experimental realization is still pending and a comprehensive theory of contrast formation has not been established to date. Explicit expressions are derived for the equal‐pulse two‐point intensity correlations, as the principal measured quantity of IDI, with full control of the prefactors, based on a simple model of stochastic fluorescence emission. The model considers the photon detection statistics, the finite temporal coherence of the individual emissions, as well as the geometry of the scattering volume. The implications are interpreted in view of the most relevant quantities, including the fluorescence lifetime, the excitation pulse, as well as the extent of the scattering volume and pixel size. Importantly, the spatiotemporal overlap between any two emissions in the sample can be identified as a crucial factor limiting the contrast and its dependency on the sample size can be derived. The paper gives rigorous estimates for the optimum sample size, the maximum photon yield and the expected signal‐to‐noise ratio under optimal conditions. Based on these estimates, the feasibility of IDI experiments for plausible experimental parameters is discussed. It is shown in particular that the mean number of photons per detector pixel which can be achieved with X‐ray fluorescence is severely limited and as a consequence imposes restrictive constraints on possible applications.

http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Acta Crystallographica Section A: Foundations and Advances Wiley

http://www.deepdyve.com/lp/wiley/on-incoherent-diffractive-imaging-08qux2MmLj

On incoherent diffractive imaging

$Incoherent diffractive imaging (IDI) promises structural analysis with atomic resolution based on intensity interferometry of pulsed X‐ray fluorescence emission. However, its experimental realization is still pending and a comprehensive theory of contrast formation has not been established to date. Explicit expressions are derived for the equal‐pulse two‐point intensity correlations, as the principal measured quantity of IDI, with full control of the prefactors, based on a simple model of stochastic fluorescence emission. The model considers the photon detection statistics, the finite temporal coherence of the individual emissions, as well as the geometry of the scattering volume. The implications are interpreted in view of the most relevant quantities, including the fluorescence lifetime, the excitation pulse, as well as the extent of the scattering volume and pixel size. Importantly, the spatiotemporal overlap between any two emissions in the sample can be identified as a crucial factor limiting the contrast and its dependency on the sample size can be derived. The paper gives rigorous estimates for the optimum sample size, the maximum photon yield and the expected signal‐to‐noise ratio under optimal conditions. Based on these estimates, the feasibility of IDI experiments for plausible experimental parameters is discussed. It is shown in particular that the mean number of photons per detector pixel which can be achieved with X‐ray fluorescence is severely limited and as a consequence imposes restrictive constraints on possible applications.$

References (46)

(1956)

Nature , 178 , 1046–1048

L. Mandel, E. Wolf (1995)

Optical Coherence and Quantum Optics

(Classen, A., Ayyer, K., Chapman, H. N., Röhlsberger, R. & von Zanthier, J. (2017). Phys. Rev. Lett. 119, 053401. )

Classen, A., Ayyer, K., Chapman, H. N., Röhlsberger, R. & von Zanthier, J. (2017). Phys. Rev. Lett. 119, 053401.

Classen, A., Ayyer, K., Chapman, H. N., Röhlsberger, R. & von Zanthier, J. (2017). Phys. Rev. Lett. 119, 053401. , Classen, A., Ayyer, K., Chapman, H. N., Röhlsberger, R. & von Zanthier, J. (2017). Phys. Rev. Lett. 119, 053401.

(Goodman, J. (1985). Statistical Optics. New York: Wiley.)

Goodman, J. (1985). Statistical Optics. New York: Wiley.

Goodman, J. (1985). Statistical Optics. New York: Wiley., Goodman, J. (1985). Statistical Optics. New York: Wiley.

(Trost, F., Ayyer, K. & Chapman, H. N. (2020). New J. Phys. 22, 083070.)

Trost, F., Ayyer, K. & Chapman, H. N. (2020). New J. Phys. 22, 083070.

Trost, F., Ayyer, K. & Chapman, H. N. (2020). New J. Phys. 22, 083070., Trost, F., Ayyer, K. & Chapman, H. N. (2020). New J. Phys. 22, 083070.

F. Farmer (1975)

"More things in heaven and earth".

The British journal of radiology, 48 565

J. Miao, P. Charalambous, J. Kirz, D. Sayre (1999)

Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens

Nature, 400

A. Singer, I. Vartanyants (2013)

Coherence properties of focused X-ray beams at high-brilliance synchrotron sources

Journal of Synchrotron Radiation, 21

W. Kossel, V. Loeck, H. Voges (1935)

Die Richtungsverteilung der in einem Kristall entstandenen charakteristischen Röntgenstrahlung

Zeitschrift für Physik, 94

(Hanbury Brown, R. & Twiss, R. Q. (1956). Nature, 178, 1046–1048.)

Hanbury Brown, R. & Twiss, R. Q. (1956). Nature, 178, 1046–1048.

Hanbury Brown, R. & Twiss, R. Q. (1956). Nature, 178, 1046–1048., Hanbury Brown, R. & Twiss, R. Q. (1956). Nature, 178, 1046–1048.

F. Trost, K. Ayyer, H. Chapman (2020)

Photon statistics and signal to noise ratio for incoherent diffraction imaging

New Journal of Physics, 22

(Schoenlein, R., Elsaesser, T., Holldack, K., Huang, Z., Kapteyn, H., Murnane, M. & Woerner, M. (2019). Philos. Trans. R. Soc. Am 377, 20180384.)

Schoenlein, R., Elsaesser, T., Holldack, K., Huang, Z., Kapteyn, H., Murnane, M. & Woerner, M. (2019). Philos. Trans. R. Soc. Am 377, 20180384.

Schoenlein, R., Elsaesser, T., Holldack, K., Huang, Z., Kapteyn, H., Murnane, M. & Woerner, M. (2019). Philos. Trans. R. Soc. Am 377, 20180384., Schoenlein, R., Elsaesser, T., Holldack, K., Huang, Z., Kapteyn, H., Murnane, M. & Woerner, M. (2019). Philos. Trans. R. Soc. Am 377, 20180384.

R. Arnheim (1973)

More Things in Heaven and Earth.

Psyccritiques, 18

A. Authier, C. Malgrange (1998)

Diffraction Physics

(Mandel, L. (1999). More Things in Heaven and Earth, pp. 460–473. New York: Springer.)

Mandel, L. (1999). More Things in Heaven and Earth, pp. 460–473. New York: Springer.

Mandel, L. (1999). More Things in Heaven and Earth, pp. 460–473. New York: Springer., Mandel, L. (1999). More Things in Heaven and Earth, pp. 460–473. New York: Springer.

R. Brown, R. Twiss (1956)

A Test of a New Type of Stellar Interferometer on Sirius

Nature, 178

Maira Amezcua (2012)

Quantum Optics

(Schneider, R., Mehringer, T., Mercurio, G., Wenthaus, L., Classen, A., Brenner, G., Gorobtsov, O., Benz, A., Bhatti, D., Bocklage, L., Fischer, B., Lazarev, S., Obukhov, Y., Schlage, K., Skopintsev, P., Wagner, J., Waldmann, F., Willing, S., Zaluzhnyy, I., Wurth, W., Vartanyants, I. A., Röhlsberger, R. & von Zanthier, J. (2017). Nat. Phys. 14, 126–129.)

Schneider, R., Mehringer, T., Mercurio, G., Wenthaus, L., Classen, A., Brenner, G., Gorobtsov, O., Benz, A., Bhatti, D., Bocklage, L., Fischer, B., Lazarev, S., Obukhov, Y., Schlage, K., Skopintsev, P., Wagner, J., Waldmann, F., Willing, S., Zaluzhnyy, I., Wurth, W., Vartanyants, I. A., Röhlsberger, R. & von Zanthier, J. (2017). Nat. Phys. 14, 126–129., Schneider, R., Mehringer, T., Mercurio, G., Wenthaus, L., Classen, A., Brenner, G., Gorobtsov, O., Benz, A., Bhatti, D., Bocklage, L., Fischer, B., Lazarev, S., Obukhov, Y., Schlage, K., Skopintsev, P., Wagner, J., Waldmann, F., Willing, S., Zaluzhnyy, I., Wurth, W., Vartanyants, I. A., Röhlsberger, R. & von Zanthier, J. (2017). Nat. Phys. 14, 126–129.

I. Inoue, K. Tamasaku, T. Osaka, Y. Inubushi, M. Yabashi (2019)

Determination of X-ray pulse duration via intensity correlation measurements of X-ray fluorescence.

Journal of synchrotron radiation, 26 Pt 6

(Mandel, L. & Wolf, E. (2015). Optical Coherence and Quantum Optics. Cambridge University Press.)

Mandel, L. & Wolf, E. (2015). Optical Coherence and Quantum Optics. Cambridge University Press.

Mandel, L. & Wolf, E. (2015). Optical Coherence and Quantum Optics. Cambridge University Press., Mandel, L. & Wolf, E. (2015). Optical Coherence and Quantum Optics. Cambridge University Press.

(Laue, M. (1935). Ann. Phys. 415(8), 705–746.)

Laue, M. (1935). Ann. Phys. 415(8), 705–746.

Laue, M. (1935). Ann. Phys. 415(8), 705–746., Laue, M. (1935). Ann. Phys. 415(8), 705–746.

(1935)

Z. Phys. 94 (

(Gog, T., Len, P. M., Materlik, G., Bahr, D., Fadley, C. S. & Sanchez-Hanke, C. (1996). Phys. Rev. Lett. 76, 3132–3135.)

Gog, T., Len, P. M., Materlik, G., Bahr, D., Fadley, C. S. & Sanchez-Hanke, C. (1996). Phys. Rev. Lett. 76, 3132–3135.

Gog, T., Len, P. M., Materlik, G., Bahr, D., Fadley, C. S. & Sanchez-Hanke, C. (1996). Phys. Rev. Lett. 76, 3132–3135., Gog, T., Len, P. M., Materlik, G., Bahr, D., Fadley, C. S. & Sanchez-Hanke, C. (1996). Phys. Rev. Lett. 76, 3132–3135.

(Singer, A. & Vartanyants, I. A. (2014). J. Synchrotron Rad. 21, 5–15.)

Singer, A. & Vartanyants, I. A. (2014). J. Synchrotron Rad. 21, 5–15.

Singer, A. & Vartanyants, I. A. (2014). J. Synchrotron Rad. 21, 5–15., Singer, A. & Vartanyants, I. A. (2014). J. Synchrotron Rad. 21, 5–15.

(Cowley, J. (1995). Diffraction Physics. North-Holland Personal Library. Amsterdam: Elsevier Science.)

Cowley, J. (1995). Diffraction Physics. North-Holland Personal Library. Amsterdam: Elsevier Science.

Cowley, J. (1995). Diffraction Physics. North-Holland Personal Library. Amsterdam: Elsevier Science., Cowley, J. (1995). Diffraction Physics. North-Holland Personal Library. Amsterdam: Elsevier Science.

(Schoonjans, T., Brunetti, A., Golosio, B., Sanchez del Rio, M., Solé, V. A., Ferrero, C. & Vincze, L. (2011). At. Spectrosc. 66, 776–784. )

Schoonjans, T., Brunetti, A., Golosio, B., Sanchez del Rio, M., Solé, V. A., Ferrero, C. & Vincze, L. (2011). At. Spectrosc. 66, 776–784.

Schoonjans, T., Brunetti, A., Golosio, B., Sanchez del Rio, M., Solé, V. A., Ferrero, C. & Vincze, L. (2011). At. Spectrosc. 66, 776–784. , Schoonjans, T., Brunetti, A., Golosio, B., Sanchez del Rio, M., Solé, V. A., Ferrero, C. & Vincze, L. (2011). At. Spectrosc. 66, 776–784.

(Ho, P. J., Knight, C. & Young, L. (2020). Phys. Rev. A, 101, 043413. )

Ho, P. J., Knight, C. & Young, L. (2020). Phys. Rev. A, 101, 043413.

Ho, P. J., Knight, C. & Young, L. (2020). Phys. Rev. A, 101, 043413. , Ho, P. J., Knight, C. & Young, L. (2020). Phys. Rev. A, 101, 043413.

H. Chapman, A. Barty, M. Bogan, S. Boutet, M. Frank, S. Hau-Riege, S. Marchesini, B. Woods, S. Bajt, W. Benner, R. London, E. Plönjes, M. Kuhlmann, R. Treusch, S. Düsterer, T. Tschentscher, J. Schneider, E. Spiller, T. Möller, C. Bostedt, M. Hoener, D. Shapiro, K. Hodgson, D. Spoel, F. Burmeister, M. Bergh, C. Caleman, G. Huldt, M. Seibert, F. Maia, R. Lee, Abraham Szöke, N. Tîmneanu, J. Hajdu (2006)

Femtosecond diffractive imaging with a soft-X-ray free-electron laser

Nature Physics, 2

T. Schoonjans, A. Brunetti, B. Golosio, M. Rio, V. Solé, C. Ferrero, L. Vincze (2011)

The xraylib library for X-ray-matter interactions. Recent developments

Spectrochimica Acta Part B: Atomic Spectroscopy, 66

T. Gureyev, A. Kozlov, D. Paganin, Y. Nesterets, F. Hoog, H. Quiney (2017)

On the van Cittert-Zernike theorem for intensity correlations and its applications.

Journal of the Optical Society of America. A, Optics, image science, and vision, 34 9

(2014)

J. Synchrotron Rad. 21 , 5–15. Trost, F., Ayyer, K. & Chapman, H. N. (2020). New J. Phys. 22 , 083070. Acta Cryst. (2021)

Gog, Len, Materlik, Bahr, Fadley, Sanchez-Hanke (1996)

Multiple-energy x-ray holography: Atomic images of hematite (Fe2O3).

Physical review letters, 76 17

(Gureyev, T. E., Kozlov, A., Paganin, D. M., Nesterets, Y. I., De Hoog, F. & Quiney, H. M. (2017). J. Opt. Soc. Am. A, 34, 1577.)

Gureyev, T. E., Kozlov, A., Paganin, D. M., Nesterets, Y. I., De Hoog, F. & Quiney, H. M. (2017). J. Opt. Soc. Am. A, 34, 1577.

Gureyev, T. E., Kozlov, A., Paganin, D. M., Nesterets, Y. I., De Hoog, F. & Quiney, H. M. (2017). J. Opt. Soc. Am. A, 34, 1577., Gureyev, T. E., Kozlov, A., Paganin, D. M., Nesterets, Y. I., De Hoog, F. & Quiney, H. M. (2017). J. Opt. Soc. Am. A, 34, 1577.

(2020)

On incoherent diffractive imaging

A. Ashok (1986)

Statistical optics

IEEE Journal of Quantum Electronics, 22

(Kossel, W., Loeck, V. & Voges, H. (1935). Z. Phys. 94 (1–2), 139–144.)

Kossel, W., Loeck, V. & Voges, H. (1935). Z. Phys. 94 (1–2), 139–144.

Kossel, W., Loeck, V. & Voges, H. (1935). Z. Phys. 94 (1–2), 139–144., Kossel, W., Loeck, V. & Voges, H. (1935). Z. Phys. 94 (1–2), 139–144.

Raimund Schneider, Thomas Mehringer, G. Mercurio, L. Wenthaus, Anton Classen, G. Brenner, O. Gorobtsov, A. Benz, D. Bhatti, L. Bocklage, Birgit Fischer, S. Lazarev, Yu. Obukhov, K. Schlage, P. Skopintsev, Jochen Wagner, Felix Waldmann, S. Willing, I. Zaluzhnyy, W. Wurth, I. Vartanyants, R. Röhlsberger, J. Zanthier (2017)

Quantum imaging with incoherently scattered light from a free-electron laser

Nature Physics, 14

(Agarwal, G. S. (2013). Quantum Optics. Cambridge: Cambridge University Press.)

Agarwal, G. S. (2013). Quantum Optics. Cambridge: Cambridge University Press.

Agarwal, G. S. (2013). Quantum Optics. Cambridge: Cambridge University Press., Agarwal, G. S. (2013). Quantum Optics. Cambridge: Cambridge University Press.

(Chapman, H. N., Barty, A., Bogan, M. J., Boutet, S., Frank, M., Hau-Riege, S. P., Marchesini, S., Woods, B. W., Bajt, S., Benner, W. H., London, R. A., Plönjes, E., Kuhlmann, M., Treusch, R., Düsterer, S., Tschentscher, T., Schneider, J. R., Spiller, E., Möller, T., Bostedt, C., Hoener, M., Shapiro, D. A., Hodgson, K. O., van der Spoel, D., Burmeister, F., Bergh, M., Caleman, C., Huldt, G., Seibert, M. M., Maia, F. R. N. C., Lee, R. W., Szöke, A., Timneanu, N. & Hajdu, J. (2006). Nat. Phys. 2, 839–843.)

Chapman, H. N., Barty, A., Bogan, M. J., Boutet, S., Frank, M., Hau-Riege, S. P., Marchesini, S., Woods, B. W., Bajt, S., Benner, W. H., London, R. A., Plönjes, E., Kuhlmann, M., Treusch, R., Düsterer, S., Tschentscher, T., Schneider, J. R., Spiller, E., Möller, T., Bostedt, C., Hoener, M., Shapiro, D. A., Hodgson, K. O., van der Spoel, D., Burmeister, F., Bergh, M., Caleman, C., Huldt, G., Seibert, M. M., Maia, F. R. N. C., Lee, R. W., Szöke, A., Timneanu, N. & Hajdu, J. (2006). Nat. Phys. 2, 839–843., Chapman, H. N., Barty, A., Bogan, M. J., Boutet, S., Frank, M., Hau-Riege, S. P., Marchesini, S., Woods, B. W., Bajt, S., Benner, W. H., London, R. A., Plönjes, E., Kuhlmann, M., Treusch, R., Düsterer, S., Tschentscher, T., Schneider, J. R., Spiller, E., Möller, T., Bostedt, C., Hoener, M., Shapiro, D. A., Hodgson, K. O., van der Spoel, D., Burmeister, F., Bergh, M., Caleman, C., Huldt, G., Seibert, M. M., Maia, F. R. N. C., Lee, R. W., Szöke, A., Timneanu, N. & Hajdu, J. (2006). Nat. Phys. 2, 839–843.

(Inoue, I., Tamasaku, K., Osaka, T., Inubushi, Y. & Yabashi, M. (2019). J. Synchrotron Rad. 26, 2050–2054.)

Inoue, I., Tamasaku, K., Osaka, T., Inubushi, Y. & Yabashi, M. (2019). J. Synchrotron Rad. 26, 2050–2054.

Inoue, I., Tamasaku, K., Osaka, T., Inubushi, Y. & Yabashi, M. (2019). J. Synchrotron Rad. 26, 2050–2054., Inoue, I., Tamasaku, K., Osaka, T., Inubushi, Y. & Yabashi, M. (2019). J. Synchrotron Rad. 26, 2050–2054.

M. Laue (1935)

Die Fluoreszenzröntgenstrahlung von Einkristallen (Mit einem Anhang über Elektronenbeugung)

Annalen der Physik, 415

R. Schoenlein, T. Elsaesser, K. Holldack, Zhirong Huang, H. Kapteyn, M. Murnane, M. Woerner (2019)

Recent advances in ultrafast X-ray sources

Philosophical Transactions of the Royal Society A, 377

(Miao, J., Ishikawa, T., Robinson, I. K. & Murnane, M. M. (2015). Science, 348, 530–535.)

Miao, J., Ishikawa, T., Robinson, I. K. & Murnane, M. M. (2015). Science, 348, 530–535.

Miao, J., Ishikawa, T., Robinson, I. K. & Murnane, M. M. (2015). Science, 348, 530–535., Miao, J., Ishikawa, T., Robinson, I. K. & Murnane, M. M. (2015). Science, 348, 530–535.

J. Miao, T. Ishikawa, I. Robinson, M. Murnane (2015)

Beyond crystallography: Diffractive imaging using coherent x-ray light sources

Science, 348

L. Mandel (1999)

Quantum effects in one-photon and two-photon interference

Reviews of Modern Physics, 71

(Miao, J., Charalambous, P., Kirz, J. & Sayre, D. (1999). Nature, 400, 342–344.)

Miao, J., Charalambous, P., Kirz, J. & Sayre, D. (1999). Nature, 400, 342–344.

Miao, J., Charalambous, P., Kirz, J. & Sayre, D. (1999). Nature, 400, 342–344., Miao, J., Charalambous, P., Kirz, J. & Sayre, D. (1999). Nature, 400, 342–344.

Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

On incoherent diffractive imaging

On incoherent diffractive imaging

Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

On incoherent diffractive imaging

On incoherent diffractive imaging

References (46)

Abstract

Journal

Recommended Articles

There are no references for this article.

Our policy towards the use of cookies