Goos-Hänchen effect observed for focused x-ray beams under resonant mode excitation

Q. Zhong, M. Osterhoff, M. W. Wen, Z. S. Wang, and T. Salditt, “X-ray waveguide arrays: tailored near fields by multi-beam interference,” X-ray Spectrom. 46(2), 107–115 (2017).

M. Bartels, M. Krenkel, J. Haber, R. N. Wilke, and T. Salditt, “X-Ray Holographic Imaging of Hydrated Biological Cells in Solution,” Phys. Rev. Lett. 114(4), 048103 (2015).
[Crossref] [PubMed]

T. Salditt, M. Osterhoff, M. Krenkel, R. N. Wilke, M. Priebe, M. Bartels, S. Kalbfleisch, and M. Sprung, “Compound focusing mirror and X-ray waveguide optics for coherent imaging and nano-diffraction,” J. Synchrotron Radiat. 22(4), 867–878 (2015).

C. K. Schmising, B. Pfau, M. Schneider, C. M. Günther, M. Giovannella, J. Perron, B. Vodungbo, L. Müller, F. Capotondi, E. Pedersoli, N. Mahne, J. Lüning, and S. Eisebitt, “Imaging Ultrafast Demagnetization Dynamics after a Spatially Localized Optical Excitation,” Phys. Rev. Lett. 112(21), 217203 (2014).
[Crossref]

D. Pelliccia, S. Kandasamy, and M. James, “Characterization of thin films for X-ray and neutron waveguiding by X-ray reflectivity and atomic force microscopy,” Physica Stat. Sol. A 210(11), 2416–2422 (2013).

Q. Zhong, Z. Zhang, R. Z. Qi, J. Li, Z. S. Wang, K. L. Guen, J. M. André, and P. Jonnard, “Enhancement of the reflectivity of Al/Zr multilayers by a novel structure,” Opt. Express 21(12), 14399–14408 (2013).
[Crossref] [PubMed]

S. Aeffner, T. Reusch, B. Weinhausen, and T. Salditt, “Energetics of stalk intermediates in membrane fusion are controlled by lipid composition,”. Nat. Acad. Sci. 109(25), E1609–E1618 (2012).
[Crossref]

Q. Zhong, W. B. Li, Z. Zhang, J. T. Zhu, Q. S. Huang, H. C. Li, Z. S. Wang, P. Jonnard, K. L. Guen, J. M. André, H. J. Zhou, and T. L. Huo, “Optical and structural performance of the Al(1%wtSi)/Zr reflection multilayers in the 17–19nm region,” Opt. Express 20(10), 10692–10700 (2012).
[Crossref] [PubMed]

M. Osterhoff and T. Salditt, “Coherence filtering of x-ray waveguides: analytical and numerical approach,” Phys. Rev. Lett. 13(10), 103026 (2011).

Z. Jiang, D. R. Lee, S. Narayanan, J. Wang, and S. K. Sinha, “Waveguide-enhanced grazing-incidence small-angle x-ray scattering of buried nanostructures in thin films,” Phys. Rev. B 84(7), 075440 (2011).
[Crossref]

S. P. Krüger, K. Giewekemeyer, S. Kalbfleisch, M. Bartels, H. Neubauer, and T. Salditt, “Sub-15 nm beam confinement by twocrossed x-ray waveguides,” Opt. Express 18(13), 13492–13501 (2010).
[Crossref] [PubMed]

A. Barty, “Time-resolved imaging using x-ray free electron lasers,” J. Phys. B: Atom. Molec. Opt. Phys. 43(19), 194014 (2010).

R. Röhlsberger, K. Schlage, B. Sahoo, S. Couet, and R. Rüffer, “Collective Lamb Shift in Single-Photon Superradiance,” Science 328(5983), 1248–1251 (2010).

X. M. Liu, Z. Q. Cao, P. F. Zhu, and Q. S. Shen, “Solution to causality paradox upon total reflection in optical planar waveguide,” Phys. Rev. E 73(1), 016615 (2006).
[Crossref]

F. Pillon, H. Gilles, S. Girard, M. Laroche, R. Kaiser, and A. Gazibegovic, “Goos-Hänchen and Imbert-Fedorov shifts for leaky guided modes,” J. Opt. Soc. Am. B 22(6), 1290–1299 (2005).
[Crossref]

C. Fuhse and T. Salditt, “Finite-difference field calculations for one-dimensionally confined X-ray waveguides,” Physica B: Phys. Condens. Mat. 357(1–2), 57–60 (2005).

C. Kappel, A. Selle, M. A. Bader, and G. Marowsky, “Resonant double-grating waveguide structures as inverted Fabry-Perot interferometers,” J. Opt. Soc. Am. B 21(6), 1127–1136 (2004).
[Crossref]

A. Jarre, T. Salditt, T. Panzner, U. Pietsch, and F. Pfeiffer, “White beam x-ray waveguide optics,” Appl. Phys. Lett. 85(2), 161–163 (2004).
[Crossref]

C. Fuhse, A. Jarre, C. Ollinger, J. Seeger, T. Salditt, and R. Tucoulou, “Front-coupling of a prefocused x-ray beam into a monomodal planar waveguide,” Appl. Phys. Lett. 85(11), 1907–1909 (2004).
[Crossref]

W. Jark and S. Di Fonzo, “Prediction of the transmission through thin-film waveguides for X-ray microscopy,” J. Synchrotron Radiat. 11(5), 386–392 (2004).

T. Salditt, F. Pfeiffer, H. Perzl, A. Vix, U. Mennicke, A. Jarre, A. Mazuelas, and T. Metzger, “X-ray waveguides and thin macromolecular films,” Physica B: Phys. Condens. Mat. 336(1), 181–192 (2003).

M. Delgado and E. Delgado, “Evaluation of a total reflection set-up by an interface geometric model,” Phys. Rev. E 113(12), 520–526 (2003).

V. K. Egorov and E. V. Egorov, “Physics of planar x-ray waveguide,” Proc. SPIE 4502, 148–172 (2001).
[Crossref]

F. Pfeiffer, T. Salditt, P. Høghøj, I. Anderson, and N. Schell, “X-ray waveguides with multiple guiding layers,” Phys. Rev. B 62(24), 16939–16943 (2000).
[Crossref]

M. J. Zwanenburg, J. F. Peters, J. H. H. Bongaerts, S. A. de Vries, D. L. Abernathy, and J. F. van der Veen, “Coherent Propagation of X Rays in a Planar Waveguide with a Tunable Air Gap,” Phys. Rev. Lett. 82(8), 1696–1699 (1999).
[Crossref]

D. L. Windt, “IMD – Software for modeling the optical properties of multilayer films,” Comp. Phys. 12(4), 360–370 (1998).

S. Lagomarsino, A. Cedola, P. Cloetens, S. Di Fonzo, W. Jark, G. Soullie, and C. Riekel, “Phase contrast hard x-ray microscopy with submicron resolution,” Appl. Phys. Lett. 71(18), 2557–2559 (1997).
[Crossref]

A. Sharon, D. Rosenblatt, and A. A. Friesem, “Resonant grating-waveguide structures for visible and near-infrared radiation,” J. Opt. Soc. Am. A 14(11), 2985–2993 (1997).
[Crossref]

Y. P. Feng, S. K. Sinha, H. W. Deckman, J. B. Hastings, and D. P. Siddons, “X-ray flux enhancement in thin-film waveguides using resonant beam couplers,” Phys. Rev. Lett. 71(4), 537–540 (1993).
[Crossref] [PubMed]

J. Wang, M. J. Bedzyk, and M. Caffrey, “Resonance-enhanced x-rays in thin films: a structure probe for membranes and surface layers,” Science 258(258), 775–778 (1992).

M. J. Bedzyk, G. M. Bommarito, M. Caffrey, and T. L. Penner, “Diffuse-Double Layer at a Membrane-Aqueous Interface Measured with X-ray Standing Waves,” Science 248(4951), 52–56 (1990).

A. W. Snyder and J. D. Love, “Goos-Hänchen Shift,” Appl. Opt. 15(1), 236–238 (1976).
[Crossref] [PubMed]

E. Spiller and A. Segmüller, “Propagation of x rays in waveguides,” Appl. Phys. Lett. 24(2), 60–61 (1974).
[Crossref]

T. Tamir and H. L. Bertoni, “Lateral Displacement of Optical Beams at Multilayered and Periodic Structures,” J. Opt. Soc. Am. 61(10), 1397–1413 (1971).
[Crossref]

R. H. Renard, “Total Reflection: A New Evaluation of the Goos-Hänchen Shift,” J. Opt. Soc. Am. 54(10), 1190–1197 (1964).
[Crossref]

L. G. Parratt, “Surface studies of solids by total reflection of X rays,” Photon. Res. 95(12), 359–369 (1954).

F. Goos and H. Lindberg-Hänchen, “Neumessung des Strahlversetzungseffektes bei Totalreflexion,” J. Opt. Soc. Am. A 440(5), 251–252 (1949).

F. Goos and H. Hänchen, “Ein neuer und fundamentaler Versuch zur Totalreflexion,” Annalen der Physik 436(7), 333–346 (1947).

M. J. Zwanenburg, J. F. Peters, J. H. H. Bongaerts, S. A. de Vries, D. L. Abernathy, and J. F. van der Veen, “Coherent Propagation of X Rays in a Planar Waveguide with a Tunable Air Gap,” Phys. Rev. Lett. 82(8), 1696–1699 (1999).
[Crossref]

S. Aeffner, T. Reusch, B. Weinhausen, and T. Salditt, “Energetics of stalk intermediates in membrane fusion are controlled by lipid composition,”. Nat. Acad. Sci. 109(25), E1609–E1618 (2012).
[Crossref]

F. Pfeiffer, T. Salditt, P. Høghøj, I. Anderson, and N. Schell, “X-ray waveguides with multiple guiding layers,” Phys. Rev. B 62(24), 16939–16943 (2000).
[Crossref]

Q. Zhong, Z. Zhang, R. Z. Qi, J. Li, Z. S. Wang, K. L. Guen, J. M. André, and P. Jonnard, “Enhancement of the reflectivity of Al/Zr multilayers by a novel structure,” Opt. Express 21(12), 14399–14408 (2013).
[Crossref] [PubMed]

Q. Zhong, W. B. Li, Z. Zhang, J. T. Zhu, Q. S. Huang, H. C. Li, Z. S. Wang, P. Jonnard, K. L. Guen, J. M. André, H. J. Zhou, and T. L. Huo, “Optical and structural performance of the Al(1%wtSi)/Zr reflection multilayers in the 17–19nm region,” Opt. Express 20(10), 10692–10700 (2012).
[Crossref] [PubMed]

C. Kappel, A. Selle, M. A. Bader, and G. Marowsky, “Resonant double-grating waveguide structures as inverted Fabry-Perot interferometers,” J. Opt. Soc. Am. B 21(6), 1127–1136 (2004).
[Crossref]

T. Salditt, M. Osterhoff, M. Krenkel, R. N. Wilke, M. Priebe, M. Bartels, S. Kalbfleisch, and M. Sprung, “Compound focusing mirror and X-ray waveguide optics for coherent imaging and nano-diffraction,” J. Synchrotron Radiat. 22(4), 867–878 (2015).

M. Bartels, M. Krenkel, J. Haber, R. N. Wilke, and T. Salditt, “X-Ray Holographic Imaging of Hydrated Biological Cells in Solution,” Phys. Rev. Lett. 114(4), 048103 (2015).
[Crossref] [PubMed]

S. P. Krüger, K. Giewekemeyer, S. Kalbfleisch, M. Bartels, H. Neubauer, and T. Salditt, “Sub-15 nm beam confinement by twocrossed x-ray waveguides,” Opt. Express 18(13), 13492–13501 (2010).
[Crossref] [PubMed]

A. Barty, “Time-resolved imaging using x-ray free electron lasers,” J. Phys. B: Atom. Molec. Opt. Phys. 43(19), 194014 (2010).

J. Wang, M. J. Bedzyk, and M. Caffrey, “Resonance-enhanced x-rays in thin films: a structure probe for membranes and surface layers,” Science 258(258), 775–778 (1992).

M. J. Bedzyk, G. M. Bommarito, M. Caffrey, and T. L. Penner, “Diffuse-Double Layer at a Membrane-Aqueous Interface Measured with X-ray Standing Waves,” Science 248(4951), 52–56 (1990).

T. Tamir and H. L. Bertoni, “Lateral Displacement of Optical Beams at Multilayered and Periodic Structures,” J. Opt. Soc. Am. 61(10), 1397–1413 (1971).
[Crossref]

M. J. Bedzyk, G. M. Bommarito, M. Caffrey, and T. L. Penner, “Diffuse-Double Layer at a Membrane-Aqueous Interface Measured with X-ray Standing Waves,” Science 248(4951), 52–56 (1990).

M. J. Zwanenburg, J. F. Peters, J. H. H. Bongaerts, S. A. de Vries, D. L. Abernathy, and J. F. van der Veen, “Coherent Propagation of X Rays in a Planar Waveguide with a Tunable Air Gap,” Phys. Rev. Lett. 82(8), 1696–1699 (1999).
[Crossref]

J. Wang, M. J. Bedzyk, and M. Caffrey, “Resonance-enhanced x-rays in thin films: a structure probe for membranes and surface layers,” Science 258(258), 775–778 (1992).

M. J. Bedzyk, G. M. Bommarito, M. Caffrey, and T. L. Penner, “Diffuse-Double Layer at a Membrane-Aqueous Interface Measured with X-ray Standing Waves,” Science 248(4951), 52–56 (1990).

X. M. Liu, Z. Q. Cao, P. F. Zhu, and Q. S. Shen, “Solution to causality paradox upon total reflection in optical planar waveguide,” Phys. Rev. E 73(1), 016615 (2006).
[Crossref]

C. K. Schmising, B. Pfau, M. Schneider, C. M. Günther, M. Giovannella, J. Perron, B. Vodungbo, L. Müller, F. Capotondi, E. Pedersoli, N. Mahne, J. Lüning, and S. Eisebitt, “Imaging Ultrafast Demagnetization Dynamics after a Spatially Localized Optical Excitation,” Phys. Rev. Lett. 112(21), 217203 (2014).
[Crossref]

S. Lagomarsino, A. Cedola, P. Cloetens, S. Di Fonzo, W. Jark, G. Soullie, and C. Riekel, “Phase contrast hard x-ray microscopy with submicron resolution,” Appl. Phys. Lett. 71(18), 2557–2559 (1997).
[Crossref]

S. Lagomarsino, A. Cedola, P. Cloetens, S. Di Fonzo, W. Jark, G. Soullie, and C. Riekel, “Phase contrast hard x-ray microscopy with submicron resolution,” Appl. Phys. Lett. 71(18), 2557–2559 (1997).
[Crossref]

R. Röhlsberger, K. Schlage, B. Sahoo, S. Couet, and R. Rüffer, “Collective Lamb Shift in Single-Photon Superradiance,” Science 328(5983), 1248–1251 (2010).

M. J. Zwanenburg, J. F. Peters, J. H. H. Bongaerts, S. A. de Vries, D. L. Abernathy, and J. F. van der Veen, “Coherent Propagation of X Rays in a Planar Waveguide with a Tunable Air Gap,” Phys. Rev. Lett. 82(8), 1696–1699 (1999).
[Crossref]

Y. P. Feng, S. K. Sinha, H. W. Deckman, J. B. Hastings, and D. P. Siddons, “X-ray flux enhancement in thin-film waveguides using resonant beam couplers,” Phys. Rev. Lett. 71(4), 537–540 (1993).
[Crossref] [PubMed]

M. Delgado and E. Delgado, “Evaluation of a total reflection set-up by an interface geometric model,” Phys. Rev. E 113(12), 520–526 (2003).

M. Delgado and E. Delgado, “Evaluation of a total reflection set-up by an interface geometric model,” Phys. Rev. E 113(12), 520–526 (2003).

V. K. Egorov and E. V. Egorov, “Physics of planar x-ray waveguide,” Proc. SPIE 4502, 148–172 (2001).
[Crossref]

V. K. Egorov and E. V. Egorov, “Physics of planar x-ray waveguide,” Proc. SPIE 4502, 148–172 (2001).
[Crossref]

C. K. Schmising, B. Pfau, M. Schneider, C. M. Günther, M. Giovannella, J. Perron, B. Vodungbo, L. Müller, F. Capotondi, E. Pedersoli, N. Mahne, J. Lüning, and S. Eisebitt, “Imaging Ultrafast Demagnetization Dynamics after a Spatially Localized Optical Excitation,” Phys. Rev. Lett. 112(21), 217203 (2014).
[Crossref]

Y. P. Feng, S. K. Sinha, H. W. Deckman, J. B. Hastings, and D. P. Siddons, “X-ray flux enhancement in thin-film waveguides using resonant beam couplers,” Phys. Rev. Lett. 71(4), 537–540 (1993).
[Crossref] [PubMed]

W. Jark and S. Di Fonzo, “Prediction of the transmission through thin-film waveguides for X-ray microscopy,” J. Synchrotron Radiat. 11(5), 386–392 (2004).

S. Lagomarsino, A. Cedola, P. Cloetens, S. Di Fonzo, W. Jark, G. Soullie, and C. Riekel, “Phase contrast hard x-ray microscopy with submicron resolution,” Appl. Phys. Lett. 71(18), 2557–2559 (1997).
[Crossref]

A. Sharon, D. Rosenblatt, and A. A. Friesem, “Resonant grating-waveguide structures for visible and near-infrared radiation,” J. Opt. Soc. Am. A 14(11), 2985–2993 (1997).
[Crossref]

C. Fuhse and T. Salditt, “Finite-difference field calculations for one-dimensionally confined X-ray waveguides,” Physica B: Phys. Condens. Mat. 357(1–2), 57–60 (2005).

C. Fuhse, A. Jarre, C. Ollinger, J. Seeger, T. Salditt, and R. Tucoulou, “Front-coupling of a prefocused x-ray beam into a monomodal planar waveguide,” Appl. Phys. Lett. 85(11), 1907–1909 (2004).
[Crossref]

F. Pillon, H. Gilles, S. Girard, M. Laroche, R. Kaiser, and A. Gazibegovic, “Goos-Hänchen and Imbert-Fedorov shifts for leaky guided modes,” J. Opt. Soc. Am. B 22(6), 1290–1299 (2005).
[Crossref]

S. P. Krüger, K. Giewekemeyer, S. Kalbfleisch, M. Bartels, H. Neubauer, and T. Salditt, “Sub-15 nm beam confinement by twocrossed x-ray waveguides,” Opt. Express 18(13), 13492–13501 (2010).
[Crossref] [PubMed]

F. Pillon, H. Gilles, S. Girard, M. Laroche, R. Kaiser, and A. Gazibegovic, “Goos-Hänchen and Imbert-Fedorov shifts for leaky guided modes,” J. Opt. Soc. Am. B 22(6), 1290–1299 (2005).
[Crossref]

C. K. Schmising, B. Pfau, M. Schneider, C. M. Günther, M. Giovannella, J. Perron, B. Vodungbo, L. Müller, F. Capotondi, E. Pedersoli, N. Mahne, J. Lüning, and S. Eisebitt, “Imaging Ultrafast Demagnetization Dynamics after a Spatially Localized Optical Excitation,” Phys. Rev. Lett. 112(21), 217203 (2014).
[Crossref]

F. Pillon, H. Gilles, S. Girard, M. Laroche, R. Kaiser, and A. Gazibegovic, “Goos-Hänchen and Imbert-Fedorov shifts for leaky guided modes,” J. Opt. Soc. Am. B 22(6), 1290–1299 (2005).
[Crossref]

F. Goos and H. Lindberg-Hänchen, “Neumessung des Strahlversetzungseffektes bei Totalreflexion,” J. Opt. Soc. Am. A 440(5), 251–252 (1949).

F. Goos and H. Hänchen, “Ein neuer und fundamentaler Versuch zur Totalreflexion,” Annalen der Physik 436(7), 333–346 (1947).

Q. Zhong, Z. Zhang, R. Z. Qi, J. Li, Z. S. Wang, K. L. Guen, J. M. André, and P. Jonnard, “Enhancement of the reflectivity of Al/Zr multilayers by a novel structure,” Opt. Express 21(12), 14399–14408 (2013).
[Crossref] [PubMed]

Q. Zhong, W. B. Li, Z. Zhang, J. T. Zhu, Q. S. Huang, H. C. Li, Z. S. Wang, P. Jonnard, K. L. Guen, J. M. André, H. J. Zhou, and T. L. Huo, “Optical and structural performance of the Al(1%wtSi)/Zr reflection multilayers in the 17–19nm region,” Opt. Express 20(10), 10692–10700 (2012).
[Crossref] [PubMed]

C. K. Schmising, B. Pfau, M. Schneider, C. M. Günther, M. Giovannella, J. Perron, B. Vodungbo, L. Müller, F. Capotondi, E. Pedersoli, N. Mahne, J. Lüning, and S. Eisebitt, “Imaging Ultrafast Demagnetization Dynamics after a Spatially Localized Optical Excitation,” Phys. Rev. Lett. 112(21), 217203 (2014).
[Crossref]

M. Bartels, M. Krenkel, J. Haber, R. N. Wilke, and T. Salditt, “X-Ray Holographic Imaging of Hydrated Biological Cells in Solution,” Phys. Rev. Lett. 114(4), 048103 (2015).
[Crossref] [PubMed]

F. Goos and H. Hänchen, “Ein neuer und fundamentaler Versuch zur Totalreflexion,” Annalen der Physik 436(7), 333–346 (1947).

Y. P. Feng, S. K. Sinha, H. W. Deckman, J. B. Hastings, and D. P. Siddons, “X-ray flux enhancement in thin-film waveguides using resonant beam couplers,” Phys. Rev. Lett. 71(4), 537–540 (1993).
[Crossref] [PubMed]

F. Pfeiffer, T. Salditt, P. Høghøj, I. Anderson, and N. Schell, “X-ray waveguides with multiple guiding layers,” Phys. Rev. B 62(24), 16939–16943 (2000).
[Crossref]

Q. Zhong, W. B. Li, Z. Zhang, J. T. Zhu, Q. S. Huang, H. C. Li, Z. S. Wang, P. Jonnard, K. L. Guen, J. M. André, H. J. Zhou, and T. L. Huo, “Optical and structural performance of the Al(1%wtSi)/Zr reflection multilayers in the 17–19nm region,” Opt. Express 20(10), 10692–10700 (2012).
[Crossref] [PubMed]

Q. Zhong, W. B. Li, Z. Zhang, J. T. Zhu, Q. S. Huang, H. C. Li, Z. S. Wang, P. Jonnard, K. L. Guen, J. M. André, H. J. Zhou, and T. L. Huo, “Optical and structural performance of the Al(1%wtSi)/Zr reflection multilayers in the 17–19nm region,” Opt. Express 20(10), 10692–10700 (2012).
[Crossref] [PubMed]

D. Pelliccia, S. Kandasamy, and M. James, “Characterization of thin films for X-ray and neutron waveguiding by X-ray reflectivity and atomic force microscopy,” Physica Stat. Sol. A 210(11), 2416–2422 (2013).

W. Jark and S. Di Fonzo, “Prediction of the transmission through thin-film waveguides for X-ray microscopy,” J. Synchrotron Radiat. 11(5), 386–392 (2004).

S. Lagomarsino, A. Cedola, P. Cloetens, S. Di Fonzo, W. Jark, G. Soullie, and C. Riekel, “Phase contrast hard x-ray microscopy with submicron resolution,” Appl. Phys. Lett. 71(18), 2557–2559 (1997).
[Crossref]

C. Fuhse, A. Jarre, C. Ollinger, J. Seeger, T. Salditt, and R. Tucoulou, “Front-coupling of a prefocused x-ray beam into a monomodal planar waveguide,” Appl. Phys. Lett. 85(11), 1907–1909 (2004).
[Crossref]

A. Jarre, T. Salditt, T. Panzner, U. Pietsch, and F. Pfeiffer, “White beam x-ray waveguide optics,” Appl. Phys. Lett. 85(2), 161–163 (2004).
[Crossref]

T. Salditt, F. Pfeiffer, H. Perzl, A. Vix, U. Mennicke, A. Jarre, A. Mazuelas, and T. Metzger, “X-ray waveguides and thin macromolecular films,” Physica B: Phys. Condens. Mat. 336(1), 181–192 (2003).

Z. Jiang, D. R. Lee, S. Narayanan, J. Wang, and S. K. Sinha, “Waveguide-enhanced grazing-incidence small-angle x-ray scattering of buried nanostructures in thin films,” Phys. Rev. B 84(7), 075440 (2011).
[Crossref]

Q. Zhong, Z. Zhang, R. Z. Qi, J. Li, Z. S. Wang, K. L. Guen, J. M. André, and P. Jonnard, “Enhancement of the reflectivity of Al/Zr multilayers by a novel structure,” Opt. Express 21(12), 14399–14408 (2013).
[Crossref] [PubMed]

Q. Zhong, W. B. Li, Z. Zhang, J. T. Zhu, Q. S. Huang, H. C. Li, Z. S. Wang, P. Jonnard, K. L. Guen, J. M. André, H. J. Zhou, and T. L. Huo, “Optical and structural performance of the Al(1%wtSi)/Zr reflection multilayers in the 17–19nm region,” Opt. Express 20(10), 10692–10700 (2012).
[Crossref] [PubMed]

F. Pillon, H. Gilles, S. Girard, M. Laroche, R. Kaiser, and A. Gazibegovic, “Goos-Hänchen and Imbert-Fedorov shifts for leaky guided modes,” J. Opt. Soc. Am. B 22(6), 1290–1299 (2005).
[Crossref]

T. Salditt, M. Osterhoff, M. Krenkel, R. N. Wilke, M. Priebe, M. Bartels, S. Kalbfleisch, and M. Sprung, “Compound focusing mirror and X-ray waveguide optics for coherent imaging and nano-diffraction,” J. Synchrotron Radiat. 22(4), 867–878 (2015).

S. P. Krüger, K. Giewekemeyer, S. Kalbfleisch, M. Bartels, H. Neubauer, and T. Salditt, “Sub-15 nm beam confinement by twocrossed x-ray waveguides,” Opt. Express 18(13), 13492–13501 (2010).
[Crossref] [PubMed]

D. Pelliccia, S. Kandasamy, and M. James, “Characterization of thin films for X-ray and neutron waveguiding by X-ray reflectivity and atomic force microscopy,” Physica Stat. Sol. A 210(11), 2416–2422 (2013).

C. Kappel, A. Selle, M. A. Bader, and G. Marowsky, “Resonant double-grating waveguide structures as inverted Fabry-Perot interferometers,” J. Opt. Soc. Am. B 21(6), 1127–1136 (2004).
[Crossref]

T. Salditt, M. Osterhoff, M. Krenkel, R. N. Wilke, M. Priebe, M. Bartels, S. Kalbfleisch, and M. Sprung, “Compound focusing mirror and X-ray waveguide optics for coherent imaging and nano-diffraction,” J. Synchrotron Radiat. 22(4), 867–878 (2015).

M. Bartels, M. Krenkel, J. Haber, R. N. Wilke, and T. Salditt, “X-Ray Holographic Imaging of Hydrated Biological Cells in Solution,” Phys. Rev. Lett. 114(4), 048103 (2015).
[Crossref] [PubMed]

S. P. Krüger, K. Giewekemeyer, S. Kalbfleisch, M. Bartels, H. Neubauer, and T. Salditt, “Sub-15 nm beam confinement by twocrossed x-ray waveguides,” Opt. Express 18(13), 13492–13501 (2010).
[Crossref] [PubMed]

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Q. Zhong, Z. Zhang, R. Z. Qi, J. Li, Z. S. Wang, K. L. Guen, J. M. André, and P. Jonnard, “Enhancement of the reflectivity of Al/Zr multilayers by a novel structure,” Opt. Express 21(12), 14399–14408 (2013).
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C. K. Schmising, B. Pfau, M. Schneider, C. M. Günther, M. Giovannella, J. Perron, B. Vodungbo, L. Müller, F. Capotondi, E. Pedersoli, N. Mahne, J. Lüning, and S. Eisebitt, “Imaging Ultrafast Demagnetization Dynamics after a Spatially Localized Optical Excitation,” Phys. Rev. Lett. 112(21), 217203 (2014).
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T. Salditt, F. Pfeiffer, H. Perzl, A. Vix, U. Mennicke, A. Jarre, A. Mazuelas, and T. Metzger, “X-ray waveguides and thin macromolecular films,” Physica B: Phys. Condens. Mat. 336(1), 181–192 (2003).

T. Salditt, F. Pfeiffer, H. Perzl, A. Vix, U. Mennicke, A. Jarre, A. Mazuelas, and T. Metzger, “X-ray waveguides and thin macromolecular films,” Physica B: Phys. Condens. Mat. 336(1), 181–192 (2003).

C. K. Schmising, B. Pfau, M. Schneider, C. M. Günther, M. Giovannella, J. Perron, B. Vodungbo, L. Müller, F. Capotondi, E. Pedersoli, N. Mahne, J. Lüning, and S. Eisebitt, “Imaging Ultrafast Demagnetization Dynamics after a Spatially Localized Optical Excitation,” Phys. Rev. Lett. 112(21), 217203 (2014).
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Q. Zhong, M. Osterhoff, M. W. Wen, Z. S. Wang, and T. Salditt, “X-ray waveguide arrays: tailored near fields by multi-beam interference,” X-ray Spectrom. 46(2), 107–115 (2017).

T. Salditt, M. Osterhoff, M. Krenkel, R. N. Wilke, M. Priebe, M. Bartels, S. Kalbfleisch, and M. Sprung, “Compound focusing mirror and X-ray waveguide optics for coherent imaging and nano-diffraction,” J. Synchrotron Radiat. 22(4), 867–878 (2015).

M. Osterhoff and T. Salditt, “Coherence filtering of x-ray waveguides: analytical and numerical approach,” Phys. Rev. Lett. 13(10), 103026 (2011).

A. Jarre, T. Salditt, T. Panzner, U. Pietsch, and F. Pfeiffer, “White beam x-ray waveguide optics,” Appl. Phys. Lett. 85(2), 161–163 (2004).
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M. J. Zwanenburg, J. F. Peters, J. H. H. Bongaerts, S. A. de Vries, D. L. Abernathy, and J. F. van der Veen, “Coherent Propagation of X Rays in a Planar Waveguide with a Tunable Air Gap,” Phys. Rev. Lett. 82(8), 1696–1699 (1999).
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C. K. Schmising, B. Pfau, M. Schneider, C. M. Günther, M. Giovannella, J. Perron, B. Vodungbo, L. Müller, F. Capotondi, E. Pedersoli, N. Mahne, J. Lüning, and S. Eisebitt, “Imaging Ultrafast Demagnetization Dynamics after a Spatially Localized Optical Excitation,” Phys. Rev. Lett. 112(21), 217203 (2014).
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A. Jarre, T. Salditt, T. Panzner, U. Pietsch, and F. Pfeiffer, “White beam x-ray waveguide optics,” Appl. Phys. Lett. 85(2), 161–163 (2004).
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T. Salditt, F. Pfeiffer, H. Perzl, A. Vix, U. Mennicke, A. Jarre, A. Mazuelas, and T. Metzger, “X-ray waveguides and thin macromolecular films,” Physica B: Phys. Condens. Mat. 336(1), 181–192 (2003).

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A. Jarre, T. Salditt, T. Panzner, U. Pietsch, and F. Pfeiffer, “White beam x-ray waveguide optics,” Appl. Phys. Lett. 85(2), 161–163 (2004).
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T. Salditt, M. Osterhoff, M. Krenkel, R. N. Wilke, M. Priebe, M. Bartels, S. Kalbfleisch, and M. Sprung, “Compound focusing mirror and X-ray waveguide optics for coherent imaging and nano-diffraction,” J. Synchrotron Radiat. 22(4), 867–878 (2015).

Q. Zhong, Z. Zhang, R. Z. Qi, J. Li, Z. S. Wang, K. L. Guen, J. M. André, and P. Jonnard, “Enhancement of the reflectivity of Al/Zr multilayers by a novel structure,” Opt. Express 21(12), 14399–14408 (2013).
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R. Röhlsberger, K. Schlage, B. Sahoo, S. Couet, and R. Rüffer, “Collective Lamb Shift in Single-Photon Superradiance,” Science 328(5983), 1248–1251 (2010).

Q. Zhong, M. Osterhoff, M. W. Wen, Z. S. Wang, and T. Salditt, “X-ray waveguide arrays: tailored near fields by multi-beam interference,” X-ray Spectrom. 46(2), 107–115 (2017).

M. Bartels, M. Krenkel, J. Haber, R. N. Wilke, and T. Salditt, “X-Ray Holographic Imaging of Hydrated Biological Cells in Solution,” Phys. Rev. Lett. 114(4), 048103 (2015).
[Crossref] [PubMed]

T. Salditt, M. Osterhoff, M. Krenkel, R. N. Wilke, M. Priebe, M. Bartels, S. Kalbfleisch, and M. Sprung, “Compound focusing mirror and X-ray waveguide optics for coherent imaging and nano-diffraction,” J. Synchrotron Radiat. 22(4), 867–878 (2015).

S. Aeffner, T. Reusch, B. Weinhausen, and T. Salditt, “Energetics of stalk intermediates in membrane fusion are controlled by lipid composition,”. Nat. Acad. Sci. 109(25), E1609–E1618 (2012).
[Crossref]

M. Osterhoff and T. Salditt, “Coherence filtering of x-ray waveguides: analytical and numerical approach,” Phys. Rev. Lett. 13(10), 103026 (2011).

S. P. Krüger, K. Giewekemeyer, S. Kalbfleisch, M. Bartels, H. Neubauer, and T. Salditt, “Sub-15 nm beam confinement by twocrossed x-ray waveguides,” Opt. Express 18(13), 13492–13501 (2010).
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A. Jarre, T. Salditt, T. Panzner, U. Pietsch, and F. Pfeiffer, “White beam x-ray waveguide optics,” Appl. Phys. Lett. 85(2), 161–163 (2004).
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C. Fuhse, A. Jarre, C. Ollinger, J. Seeger, T. Salditt, and R. Tucoulou, “Front-coupling of a prefocused x-ray beam into a monomodal planar waveguide,” Appl. Phys. Lett. 85(11), 1907–1909 (2004).
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T. Salditt, F. Pfeiffer, H. Perzl, A. Vix, U. Mennicke, A. Jarre, A. Mazuelas, and T. Metzger, “X-ray waveguides and thin macromolecular films,” Physica B: Phys. Condens. Mat. 336(1), 181–192 (2003).

F. Pfeiffer, T. Salditt, P. Høghøj, I. Anderson, and N. Schell, “X-ray waveguides with multiple guiding layers,” Phys. Rev. B 62(24), 16939–16943 (2000).
[Crossref]

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R. Röhlsberger, K. Schlage, B. Sahoo, S. Couet, and R. Rüffer, “Collective Lamb Shift in Single-Photon Superradiance,” Science 328(5983), 1248–1251 (2010).

C. K. Schmising, B. Pfau, M. Schneider, C. M. Günther, M. Giovannella, J. Perron, B. Vodungbo, L. Müller, F. Capotondi, E. Pedersoli, N. Mahne, J. Lüning, and S. Eisebitt, “Imaging Ultrafast Demagnetization Dynamics after a Spatially Localized Optical Excitation,” Phys. Rev. Lett. 112(21), 217203 (2014).
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C. Fuhse, A. Jarre, C. Ollinger, J. Seeger, T. Salditt, and R. Tucoulou, “Front-coupling of a prefocused x-ray beam into a monomodal planar waveguide,” Appl. Phys. Lett. 85(11), 1907–1909 (2004).
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[Crossref]

E. Spiller and A. Segmüller, “Propagation of x rays in waveguides,” Appl. Phys. Lett. 24(2), 60–61 (1974).
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T. Salditt, M. Osterhoff, M. Krenkel, R. N. Wilke, M. Priebe, M. Bartels, S. Kalbfleisch, and M. Sprung, “Compound focusing mirror and X-ray waveguide optics for coherent imaging and nano-diffraction,” J. Synchrotron Radiat. 22(4), 867–878 (2015).

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T. Salditt, F. Pfeiffer, H. Perzl, A. Vix, U. Mennicke, A. Jarre, A. Mazuelas, and T. Metzger, “X-ray waveguides and thin macromolecular films,” Physica B: Phys. Condens. Mat. 336(1), 181–192 (2003).

C. K. Schmising, B. Pfau, M. Schneider, C. M. Günther, M. Giovannella, J. Perron, B. Vodungbo, L. Müller, F. Capotondi, E. Pedersoli, N. Mahne, J. Lüning, and S. Eisebitt, “Imaging Ultrafast Demagnetization Dynamics after a Spatially Localized Optical Excitation,” Phys. Rev. Lett. 112(21), 217203 (2014).
[Crossref]

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Q. Zhong, Z. Zhang, R. Z. Qi, J. Li, Z. S. Wang, K. L. Guen, J. M. André, and P. Jonnard, “Enhancement of the reflectivity of Al/Zr multilayers by a novel structure,” Opt. Express 21(12), 14399–14408 (2013).
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[Crossref]

Q. Zhong, M. Osterhoff, M. W. Wen, Z. S. Wang, and T. Salditt, “X-ray waveguide arrays: tailored near fields by multi-beam interference,” X-ray Spectrom. 46(2), 107–115 (2017).

M. Bartels, M. Krenkel, J. Haber, R. N. Wilke, and T. Salditt, “X-Ray Holographic Imaging of Hydrated Biological Cells in Solution,” Phys. Rev. Lett. 114(4), 048103 (2015).
[Crossref] [PubMed]

T. Salditt, M. Osterhoff, M. Krenkel, R. N. Wilke, M. Priebe, M. Bartels, S. Kalbfleisch, and M. Sprung, “Compound focusing mirror and X-ray waveguide optics for coherent imaging and nano-diffraction,” J. Synchrotron Radiat. 22(4), 867–878 (2015).

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[Crossref] [PubMed]

Q. Zhong, M. Osterhoff, M. W. Wen, Z. S. Wang, and T. Salditt, “X-ray waveguide arrays: tailored near fields by multi-beam interference,” X-ray Spectrom. 46(2), 107–115 (2017).

Q. Zhong, Z. Zhang, R. Z. Qi, J. Li, Z. S. Wang, K. L. Guen, J. M. André, and P. Jonnard, “Enhancement of the reflectivity of Al/Zr multilayers by a novel structure,” Opt. Express 21(12), 14399–14408 (2013).
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[Crossref] [PubMed]

X. M. Liu, Z. Q. Cao, P. F. Zhu, and Q. S. Shen, “Solution to causality paradox upon total reflection in optical planar waveguide,” Phys. Rev. E 73(1), 016615 (2006).
[Crossref]

M. J. Zwanenburg, J. F. Peters, J. H. H. Bongaerts, S. A. de Vries, D. L. Abernathy, and J. F. van der Veen, “Coherent Propagation of X Rays in a Planar Waveguide with a Tunable Air Gap,” Phys. Rev. Lett. 82(8), 1696–1699 (1999).
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