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Rotation-free holographic imaging with extended arc referencePengfei Lan, Eiji J. Takahashi, and Katsumi Midorikawa »View Author Affiliations
Pengfei Lan,1,2
Eiji J. Takahashi,1,*
and Katsumi Midorikawa1
1Extreme Photonics Research Group, RIKEN Advanced Science Institute, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan 2pengfeilan@riken.jp *Corresponding author: ejtak@riken.jp |
Optics Express, Vol. 20, Issue 6, pp. 6669-6676 (2012)
http://dx.doi.org/10.1364/OE.20.006669
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Abstract
We proposed and experimentally demonstrated a rotation-free approach of holographic imaging by using an extended arc reference. From the diffraction intensity, the objects were retrieved using a two-step algorithm without a prior knowledge of the information of the sample and reference. This scheme alleviates the convergence problem of coherent diffractive imaging and also promises to achieve a high resolution.
© 2012 OSA
OCIS Codes
(100.5070) Image processing : Phase retrieval
(090.1995) Holography : Digital holography
(110.3010) Imaging systems : Image reconstruction techniques
ToC Category:
Holography
History
Original Manuscript: December 19, 2011
Revised Manuscript: January 20, 2012
Manuscript Accepted: January 25, 2012
Published: March 7, 2012
Citation
Pengfei Lan, Eiji J. Takahashi, and Katsumi Midorikawa, "Rotation-free holographic imaging with extended arc reference," Opt. Express 20, 6669-6676 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-6-6669
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References
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- S. Marchesini, S. Boutet, A. Sakdinawat, M. J. Bogan, S. Bajt, A. Barty, H. N. Chapman, M. Frank, S. P. Hau-Riege, A. Szöke, C. Cui, D. A. Shapiro, M. R. Howells, J. C. H. Spence, J. W. Shaevitz, J.Y. Lee, J. Hajdu, and M. M. Seibert, “Massively parallel X-ray holography,” Nat. Photonics2, 560–563 (2008). [CrossRef]
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- W. F. Schlotter, R. Rick, K. Chen, A. Scherz, J. Stöhr, J. Lüning, S. Eisebitt, Ch. Günther, W. Eberhardt, O. Hellwig, and I. McNulty, “Multiple reference Fourier transform holography with soft x rays,” Appl. Phys. Lett.89, 163112 (2006). [CrossRef]
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- W. F. Schlotter, R. Rick, K. Chen, A. Scherz, J. Stöhr, J. Lüning, S. Eisebitt, Ch. Günther, W. Eberhardt, O. Hellwig, and I. McNulty, “Multiple reference Fourier transform holography with soft x rays,” Appl. Phys. Lett.89, 163112 (2006). [CrossRef]
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- M. Guizar-Sicairos, D. L. Zhu, J. R. Fienup, B. Wu, A. Scherz, and J. Stöhr, “Holographic x-ray image reconstruction through the application of differential and integral operators,” Opt. Lett.35, 928–930 (2010). [CrossRef] [PubMed]
- M. Guizar-Sicairos and J. R. Fienup, “Direct image reconstruction from a Fourier intensity pattern using HERALDO,” Opt. Lett.33, 2668–2670 (2008). [CrossRef] [PubMed]
- M. Guizar-Sicairos and J. R. Fienup, “Holography with extended reference by autocorrelation linear differential operation,” Opt. Express15, 17592–17612 (2007). [CrossRef] [PubMed]
- J. R. Fienup, “Reconstruction of a complex-valued object from the modulus of its Fourier transform using a support constraint,” J. Opt. Soc. Am. A4, 118–123 (1987). [CrossRef]
- J. R. Fienup and C. C. Wackerman, “Phase-retrieval stagnation problems and solutions,” J. Opt. Soc. Am. A3, 1897–1907 (1986). [CrossRef]
- J. R. Fienup, “Phase retrieval algorithms: a comparison,” App. Opt.21, 2758–2769 (1982). [CrossRef]
- D. L. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. R. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Let.105, 043901 (2010). [CrossRef]
- S. Marchesini, S. Boutet, A. Sakdinawat, M. J. Bogan, S. Bajt, A. Barty, H. N. Chapman, M. Frank, S. P. Hau-Riege, A. Szöke, C. Cui, D. A. Shapiro, M. R. Howells, J. C. H. Spence, J. W. Shaevitz, J.Y. Lee, J. Hajdu, and M. M. Seibert, “Massively parallel X-ray holography,” Nat. Photonics2, 560–563 (2008). [CrossRef]
- D. L. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. R. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Let.105, 043901 (2010). [CrossRef]
- D. Gauthier, M. Guizar-Sicairos, X. Ge, W. Boutu1, B. Carré, J. R. Fienup, and H. Merdji, “Single-shot Femtosecond X-ray holography using extended references,” Phys. Rev. Lett.105, 093901 (2010). [CrossRef] [PubMed]
- D. Gauthier, M. Guizar-Sicairos, X. Ge, W. Boutu1, B. Carré, J. R. Fienup, and H. Merdji, “Single-shot Femtosecond X-ray holography using extended references,” Phys. Rev. Lett.105, 093901 (2010). [CrossRef] [PubMed]
- R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik35, 237–246 (1972).
- D. Gauthier, M. Guizar-Sicairos, X. Ge, W. Boutu1, B. Carré, J. R. Fienup, and H. Merdji, “Single-shot Femtosecond X-ray holography using extended references,” Phys. Rev. Lett.105, 093901 (2010). [CrossRef] [PubMed]
- D. L. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. R. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Let.105, 043901 (2010). [CrossRef]
- M. Guizar-Sicairos, D. L. Zhu, J. R. Fienup, B. Wu, A. Scherz, and J. Stöhr, “Holographic x-ray image reconstruction through the application of differential and integral operators,” Opt. Lett.35, 928–930 (2010). [CrossRef] [PubMed]
- M. Guizar-Sicairos and J. R. Fienup, “Direct image reconstruction from a Fourier intensity pattern using HERALDO,” Opt. Lett.33, 2668–2670 (2008). [CrossRef] [PubMed]
- M. Guizar-Sicairos and J. R. Fienup, “Holography with extended reference by autocorrelation linear differential operation,” Opt. Express15, 17592–17612 (2007). [CrossRef] [PubMed]
- W. F. Schlotter, R. Rick, K. Chen, A. Scherz, J. Stöhr, J. Lüning, S. Eisebitt, Ch. Günther, W. Eberhardt, O. Hellwig, and I. McNulty, “Multiple reference Fourier transform holography with soft x rays,” Appl. Phys. Lett.89, 163112 (2006). [CrossRef]
- S. Marchesini, S. Boutet, A. Sakdinawat, M. J. Bogan, S. Bajt, A. Barty, H. N. Chapman, M. Frank, S. P. Hau-Riege, A. Szöke, C. Cui, D. A. Shapiro, M. R. Howells, J. C. H. Spence, J. W. Shaevitz, J.Y. Lee, J. Hajdu, and M. M. Seibert, “Massively parallel X-ray holography,” Nat. Photonics2, 560–563 (2008). [CrossRef]
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- S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. H. Spence, “X-ray image reconstrunction from a diffraction pattern alone,” Phys. Rev. B68, 140101 (2003). [CrossRef]
- S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. H. Spence, “X-ray image reconstrunction from a diffraction pattern alone,” Phys. Rev. B68, 140101 (2003). [CrossRef]
- W. F. Schlotter, R. Rick, K. Chen, A. Scherz, J. Stöhr, J. Lüning, S. Eisebitt, Ch. Günther, W. Eberhardt, O. Hellwig, and I. McNulty, “Multiple reference Fourier transform holography with soft x rays,” Appl. Phys. Lett.89, 163112 (2006). [CrossRef]
- S. Eisebitt, J. Lüning, W. F. Schlotter, M. Lörgen1, O. Hellwig, W. Eberhardt, and J. Stöhr, “Lensless imaging of magnetic nanostructures by X-ray spectro-holography,” Nature432, 885–888 (2004). [CrossRef] [PubMed]
- S. Marchesini, S. Boutet, A. Sakdinawat, M. J. Bogan, S. Bajt, A. Barty, H. N. Chapman, M. Frank, S. P. Hau-Riege, A. Szöke, C. Cui, D. A. Shapiro, M. R. Howells, J. C. H. Spence, J. W. Shaevitz, J.Y. Lee, J. Hajdu, and M. M. Seibert, “Massively parallel X-ray holography,” Nat. Photonics2, 560–563 (2008). [CrossRef]
- S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. H. Spence, “X-ray image reconstrunction from a diffraction pattern alone,” Phys. Rev. B68, 140101 (2003). [CrossRef]
- Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express3, 102701 (2010). [CrossRef]
- J. Miao, T. Ishikawa, Q. Shen, and T. Earnest, “Extending X-ray Crystallography to allow the imaing of noncrystalline materials, cells and single protein Complexes,” Annu. Rev. Phys. Chem.59, 387–410 (2008). [CrossRef]
- Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express3, 102701 (2010). [CrossRef]
- J. Miao, P. Charalambous, J. Kirz, and D. Sayre, “Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens,” Nature400, 342–344 (1999). [CrossRef]
- S. Marchesini, S. Boutet, A. Sakdinawat, M. J. Bogan, S. Bajt, A. Barty, H. N. Chapman, M. Frank, S. P. Hau-Riege, A. Szöke, C. Cui, D. A. Shapiro, M. R. Howells, J. C. H. Spence, J. W. Shaevitz, J.Y. Lee, J. Hajdu, and M. M. Seibert, “Massively parallel X-ray holography,” Nat. Photonics2, 560–563 (2008). [CrossRef]
- S. Eisebitt, J. Lüning, W. F. Schlotter, M. Lörgen1, O. Hellwig, W. Eberhardt, and J. Stöhr, “Lensless imaging of magnetic nanostructures by X-ray spectro-holography,” Nature432, 885–888 (2004). [CrossRef] [PubMed]
- W. F. Schlotter, R. Rick, K. Chen, A. Scherz, J. Stöhr, J. Lüning, S. Eisebitt, Ch. Günther, W. Eberhardt, O. Hellwig, and I. McNulty, “Multiple reference Fourier transform holography with soft x rays,” Appl. Phys. Lett.89, 163112 (2006). [CrossRef]
- S. Eisebitt, J. Lüning, W. F. Schlotter, M. Lörgen1, O. Hellwig, W. Eberhardt, and J. Stöhr, “Lensless imaging of magnetic nanostructures by X-ray spectro-holography,” Nature432, 885–888 (2004). [CrossRef] [PubMed]
- S. Marchesini, S. Boutet, A. Sakdinawat, M. J. Bogan, S. Bajt, A. Barty, H. N. Chapman, M. Frank, S. P. Hau-Riege, A. Szöke, C. Cui, D. A. Shapiro, M. R. Howells, J. C. H. Spence, J. W. Shaevitz, J.Y. Lee, J. Hajdu, and M. M. Seibert, “Massively parallel X-ray holography,” Nat. Photonics2, 560–563 (2008). [CrossRef]
- S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. H. Spence, “X-ray image reconstrunction from a diffraction pattern alone,” Phys. Rev. B68, 140101 (2003). [CrossRef]
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- Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express3, 102701 (2010). [CrossRef]
- W. F. Schlotter, R. Rick, K. Chen, A. Scherz, J. Stöhr, J. Lüning, S. Eisebitt, Ch. Günther, W. Eberhardt, O. Hellwig, and I. McNulty, “Multiple reference Fourier transform holography with soft x rays,” Appl. Phys. Lett.89, 163112 (2006). [CrossRef]
- D. Gauthier, M. Guizar-Sicairos, X. Ge, W. Boutu1, B. Carré, J. R. Fienup, and H. Merdji, “Single-shot Femtosecond X-ray holography using extended references,” Phys. Rev. Lett.105, 093901 (2010). [CrossRef] [PubMed]
- R. L. Sandberg, D. A. Raymondson, C. La-o-vorakiat, A. Paul, K. S. Raines, J. Miao, M. M. Murnane, C. H. Kapteyn, and W. F. Schlotter, “Tabletop soft-x-ray Fourier transform holography with 50 nm resolution,” Opt. Lett.34, 1618–1620 (2009). [CrossRef] [PubMed]
- J. Miao, T. Ishikawa, Q. Shen, and T. Earnest, “Extending X-ray Crystallography to allow the imaing of noncrystalline materials, cells and single protein Complexes,” Annu. Rev. Phys. Chem.59, 387–410 (2008). [CrossRef]
- J. Miao, P. Charalambous, J. Kirz, and D. Sayre, “Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens,” Nature400, 342–344 (1999). [CrossRef]
- Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express3, 102701 (2010). [CrossRef]
- Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express3, 102701 (2010). [CrossRef]
- S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. H. Spence, “X-ray image reconstrunction from a diffraction pattern alone,” Phys. Rev. B68, 140101 (2003). [CrossRef]
- Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express3, 102701 (2010). [CrossRef]
- Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express3, 102701 (2010). [CrossRef]
- Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express3, 102701 (2010). [CrossRef]
- Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express3, 102701 (2010). [CrossRef]
- D. L. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. R. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Let.105, 043901 (2010). [CrossRef]
- W. F. Schlotter, R. Rick, K. Chen, A. Scherz, J. Stöhr, J. Lüning, S. Eisebitt, Ch. Günther, W. Eberhardt, O. Hellwig, and I. McNulty, “Multiple reference Fourier transform holography with soft x rays,” Appl. Phys. Lett.89, 163112 (2006). [CrossRef]
- S. Marchesini, S. Boutet, A. Sakdinawat, M. J. Bogan, S. Bajt, A. Barty, H. N. Chapman, M. Frank, S. P. Hau-Riege, A. Szöke, C. Cui, D. A. Shapiro, M. R. Howells, J. C. H. Spence, J. W. Shaevitz, J.Y. Lee, J. Hajdu, and M. M. Seibert, “Massively parallel X-ray holography,” Nat. Photonics2, 560–563 (2008). [CrossRef]
- R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik35, 237–246 (1972).
- J. Miao, P. Charalambous, J. Kirz, and D. Sayre, “Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens,” Nature400, 342–344 (1999). [CrossRef]
- D. L. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. R. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Let.105, 043901 (2010). [CrossRef]
- M. Guizar-Sicairos, D. L. Zhu, J. R. Fienup, B. Wu, A. Scherz, and J. Stöhr, “Holographic x-ray image reconstruction through the application of differential and integral operators,” Opt. Lett.35, 928–930 (2010). [CrossRef] [PubMed]
- W. F. Schlotter, R. Rick, K. Chen, A. Scherz, J. Stöhr, J. Lüning, S. Eisebitt, Ch. Günther, W. Eberhardt, O. Hellwig, and I. McNulty, “Multiple reference Fourier transform holography with soft x rays,” Appl. Phys. Lett.89, 163112 (2006). [CrossRef]
- R. L. Sandberg, D. A. Raymondson, C. La-o-vorakiat, A. Paul, K. S. Raines, J. Miao, M. M. Murnane, C. H. Kapteyn, and W. F. Schlotter, “Tabletop soft-x-ray Fourier transform holography with 50 nm resolution,” Opt. Lett.34, 1618–1620 (2009). [CrossRef] [PubMed]
- W. F. Schlotter, R. Rick, K. Chen, A. Scherz, J. Stöhr, J. Lüning, S. Eisebitt, Ch. Günther, W. Eberhardt, O. Hellwig, and I. McNulty, “Multiple reference Fourier transform holography with soft x rays,” Appl. Phys. Lett.89, 163112 (2006). [CrossRef]
- S. Eisebitt, J. Lüning, W. F. Schlotter, M. Lörgen1, O. Hellwig, W. Eberhardt, and J. Stöhr, “Lensless imaging of magnetic nanostructures by X-ray spectro-holography,” Nature432, 885–888 (2004). [CrossRef] [PubMed]
- S. Marchesini, S. Boutet, A. Sakdinawat, M. J. Bogan, S. Bajt, A. Barty, H. N. Chapman, M. Frank, S. P. Hau-Riege, A. Szöke, C. Cui, D. A. Shapiro, M. R. Howells, J. C. H. Spence, J. W. Shaevitz, J.Y. Lee, J. Hajdu, and M. M. Seibert, “Massively parallel X-ray holography,” Nat. Photonics2, 560–563 (2008). [CrossRef]
- S. Marchesini, S. Boutet, A. Sakdinawat, M. J. Bogan, S. Bajt, A. Barty, H. N. Chapman, M. Frank, S. P. Hau-Riege, A. Szöke, C. Cui, D. A. Shapiro, M. R. Howells, J. C. H. Spence, J. W. Shaevitz, J.Y. Lee, J. Hajdu, and M. M. Seibert, “Massively parallel X-ray holography,” Nat. Photonics2, 560–563 (2008). [CrossRef]
- S. Marchesini, S. Boutet, A. Sakdinawat, M. J. Bogan, S. Bajt, A. Barty, H. N. Chapman, M. Frank, S. P. Hau-Riege, A. Szöke, C. Cui, D. A. Shapiro, M. R. Howells, J. C. H. Spence, J. W. Shaevitz, J.Y. Lee, J. Hajdu, and M. M. Seibert, “Massively parallel X-ray holography,” Nat. Photonics2, 560–563 (2008). [CrossRef]
- J. Miao, T. Ishikawa, Q. Shen, and T. Earnest, “Extending X-ray Crystallography to allow the imaing of noncrystalline materials, cells and single protein Complexes,” Annu. Rev. Phys. Chem.59, 387–410 (2008). [CrossRef]
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- M. Guizar-Sicairos, D. L. Zhu, J. R. Fienup, B. Wu, A. Scherz, and J. Stöhr, “Holographic x-ray image reconstruction through the application of differential and integral operators,” Opt. Lett.35, 928–930 (2010). [CrossRef] [PubMed]
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Annu. Rev. Phys. Chem.
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Appl. Phys. Express
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Nature
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Optik
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Phys. Rev. B
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Phys. Rev. Lett.
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