Abstract

We discuss soft-x-ray focusing properties of separate capillaries. It is shown that a nonnegligible fraction of the synchrotron radiation beam transmitted by the capillary is modal. Experimental and theoretical data are discussed to explain the superposition pattern of x rays in the focal plane due to the interference phenomena of electromagnetic radiation propagating through separate capillaries.

© 2000 Optical Society of America

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  1. E. A. Stern, Z. Kalman, A. Lewis, K. Lieberman, “Simple method for focusing x rays using tapered capillaries,” Appl. Opt. 27, 5135–5139 (1988).
    [CrossRef] [PubMed]
  2. M. A. Kumakhov, F. F. Komarov, “Multiple reflection from surface: x-ray optics,” Phys. Rep. 191, 289–350 (1990).
    [CrossRef]
  3. W. M. Gibson, M. A. Kumakhov, “X-ray optics: Kumakhov optics,” in McGraw-Hill Yearbook of Science & Technology (McGraw-Hill, NY, 1993), pp. 487–490.
  4. M. A. Kumakhov, “X-ray and neutron polycapillary optics: status and perspectives,” in Hard X-Ray/Gamma-Ray and Neutron Optics, Sensors, and Applications, R. B. Hoover, F. P. Doty, eds., Proc. SPIE2859, 116–122 (1996).
    [CrossRef]
  5. S. B. Dabagov, S. V. Nikitina, M. A. Kumakhov, N. S. Ibraimov, G. A. Vartaniants, A. N. Nikitin, L. Spielberger, “Focusing of x-rays by capillary systems,” Nucl. Instrum. Methods Phys. Res. B 103, 99–105 (1995).
    [CrossRef]
  6. S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, V. A. Murashova, R. V. Fedorchuk, M. N. Yakimenko, “Observation of interference effects at the focus of an x-ray lens,” J. Synchrotron Radiat. 2, 132–135 (1995).
    [CrossRef] [PubMed]
  7. Yu. M. Alexandrov, M. N. Yakimenko, “Investigation on the S-60 SR source of the Lebedev Physical Institute,” Nucl. Instrum. Methods Phys. Res. A 359, 12–14 (1995).
    [CrossRef]
  8. S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, “On the interference of x-rays in multiple reflection optics,” Phys. Lett. A 203, 279–282 (1995).
    [CrossRef]
  9. S. B. Dabagov, M. A. Kumakhov, “X-ray channeling in capillary systems,” in X-Ray and Extreme Ultraviolet Optics, R. B. Hoover, A. B. Walker, eds., Proc. SPIE2515, 124–136 (1995).
    [CrossRef]
  10. S. V. Kukhlevsky, L. Kozma, K. Negrea, “Pulsed-mode analysis of soft x-ray radiation passing through capillary waveguides,” J. Mod. Opt. 43, 2595–2604 (1996).
    [CrossRef]
  11. Yu. M. Alexandrov, S. B. Dabagov, M. A. Kumakhov, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, M. N. Yakimenko, “Peculiarities of photon transmission through capillary systems,” Nucl. Instrum. Methods Phys. Res. B 134, 174–180 (1998).
    [CrossRef]
  12. S. B. Dabagov, A. Marcelli, “Single-reflection regime of x rays that travel into a monocapillary,” Appl. Opt. 38, 7494–7497 (1999).
    [CrossRef]
  13. S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, “Passage of synchrotron radiation through capillary macrosystems,” in X-Ray and Extreme Ultraviolet Optics, R. B. Hoover, A. B. Walker, eds., Proc. SPIE2515, 506–513 (1995).
    [CrossRef]
  14. L. Vincze, K. Janssens, F. Adams, A. Rindby, P. Engström, “Interpretation of capillary generated spatial and angular distributions of x rays: theoretical modeling and experimental verification using the European Synchrotron Radiation Facility Optical beam line,” Rev. Sci. Instrum. 69, 3494–3503 (1998).
    [CrossRef]
  15. S. B. Dabagov, R. V. Fedorchuk, V. A. Murashova, S. V. Nikitina, M. N. Yakimenko, “Interference phenomenon under focusing of synchrotron radiation by a Kumakhov lens,” Nucl. Instrum. Methods Phys. Res. B 108, 213–218 (1996).
    [CrossRef]
  16. S. V. Kukhlevsky, I. Z. Kozma, F. Flora, A. Marinai, L. Palladino, A. Reale, G. Tomassetti, A. Ritucci, “Diffraction of x rays in capillary waveguides,” in X-Ray Optics, Instruments, and Missions II, R. B. Hoover, A. B. Walker, eds., Proc. SPIE3766, 418–426 (1999).
    [CrossRef]
  17. S. B. Dabagov, M. A. Kumakhov, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, M. N. Yakimenko, “Experience on synchrotron radiation passage through capillary macrosystems,” in Hard X-Ray and Gamma-Ray Detector Physics, Optics and Applications, R. B. Hoover, F. P. Doty, eds., Proc. SPIE3115, 100–110 (1997).
    [CrossRef]
  18. L. I. Ognev, “On the structure of x-ray glass capillary lens focal spots,” Nucl. Instrum. Methods Phys. Res. B 124, 624–626 (1997).
    [CrossRef]
  19. N. Artemiev, A. Artemiev, V. Kohn, N. Smolyakov, “Coherent phenomenon in reflection of radiation by an uneven mirror,” Phys. Scripta 57, 228–232 (1998).
    [CrossRef]
  20. A. V. Vinogradov, Mirror X-ray Optics (Mashinostroenie, Leningrad, Russia, 1989).
  21. E. Spiller, Soft X-ray Optics, Monograph PM15yHC (SPIE Press, Bellingham, Wash., 1994).
  22. L. D. Landau, E. M. Lifshiz, MechanicsTheor. Phys. (Nauka, Moscow, 1973), v.1.
  23. N. N. Bogolyubov, Yu. A. Mitropolsky, Asymptotic Methods in Theory of Nonlinear Oscillations (Fizmatgiz, Moscow, 1958).

1999 (1)

1998 (3)

N. Artemiev, A. Artemiev, V. Kohn, N. Smolyakov, “Coherent phenomenon in reflection of radiation by an uneven mirror,” Phys. Scripta 57, 228–232 (1998).
[CrossRef]

Yu. M. Alexandrov, S. B. Dabagov, M. A. Kumakhov, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, M. N. Yakimenko, “Peculiarities of photon transmission through capillary systems,” Nucl. Instrum. Methods Phys. Res. B 134, 174–180 (1998).
[CrossRef]

L. Vincze, K. Janssens, F. Adams, A. Rindby, P. Engström, “Interpretation of capillary generated spatial and angular distributions of x rays: theoretical modeling and experimental verification using the European Synchrotron Radiation Facility Optical beam line,” Rev. Sci. Instrum. 69, 3494–3503 (1998).
[CrossRef]

1997 (1)

L. I. Ognev, “On the structure of x-ray glass capillary lens focal spots,” Nucl. Instrum. Methods Phys. Res. B 124, 624–626 (1997).
[CrossRef]

1996 (2)

S. B. Dabagov, R. V. Fedorchuk, V. A. Murashova, S. V. Nikitina, M. N. Yakimenko, “Interference phenomenon under focusing of synchrotron radiation by a Kumakhov lens,” Nucl. Instrum. Methods Phys. Res. B 108, 213–218 (1996).
[CrossRef]

S. V. Kukhlevsky, L. Kozma, K. Negrea, “Pulsed-mode analysis of soft x-ray radiation passing through capillary waveguides,” J. Mod. Opt. 43, 2595–2604 (1996).
[CrossRef]

1995 (4)

S. B. Dabagov, S. V. Nikitina, M. A. Kumakhov, N. S. Ibraimov, G. A. Vartaniants, A. N. Nikitin, L. Spielberger, “Focusing of x-rays by capillary systems,” Nucl. Instrum. Methods Phys. Res. B 103, 99–105 (1995).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, V. A. Murashova, R. V. Fedorchuk, M. N. Yakimenko, “Observation of interference effects at the focus of an x-ray lens,” J. Synchrotron Radiat. 2, 132–135 (1995).
[CrossRef] [PubMed]

Yu. M. Alexandrov, M. N. Yakimenko, “Investigation on the S-60 SR source of the Lebedev Physical Institute,” Nucl. Instrum. Methods Phys. Res. A 359, 12–14 (1995).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, “On the interference of x-rays in multiple reflection optics,” Phys. Lett. A 203, 279–282 (1995).
[CrossRef]

1990 (1)

M. A. Kumakhov, F. F. Komarov, “Multiple reflection from surface: x-ray optics,” Phys. Rep. 191, 289–350 (1990).
[CrossRef]

1988 (1)

Adams, F.

L. Vincze, K. Janssens, F. Adams, A. Rindby, P. Engström, “Interpretation of capillary generated spatial and angular distributions of x rays: theoretical modeling and experimental verification using the European Synchrotron Radiation Facility Optical beam line,” Rev. Sci. Instrum. 69, 3494–3503 (1998).
[CrossRef]

Alexandrov, Yu. M.

Yu. M. Alexandrov, S. B. Dabagov, M. A. Kumakhov, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, M. N. Yakimenko, “Peculiarities of photon transmission through capillary systems,” Nucl. Instrum. Methods Phys. Res. B 134, 174–180 (1998).
[CrossRef]

Yu. M. Alexandrov, M. N. Yakimenko, “Investigation on the S-60 SR source of the Lebedev Physical Institute,” Nucl. Instrum. Methods Phys. Res. A 359, 12–14 (1995).
[CrossRef]

Artemiev, A.

N. Artemiev, A. Artemiev, V. Kohn, N. Smolyakov, “Coherent phenomenon in reflection of radiation by an uneven mirror,” Phys. Scripta 57, 228–232 (1998).
[CrossRef]

Artemiev, N.

N. Artemiev, A. Artemiev, V. Kohn, N. Smolyakov, “Coherent phenomenon in reflection of radiation by an uneven mirror,” Phys. Scripta 57, 228–232 (1998).
[CrossRef]

Bogolyubov, N. N.

N. N. Bogolyubov, Yu. A. Mitropolsky, Asymptotic Methods in Theory of Nonlinear Oscillations (Fizmatgiz, Moscow, 1958).

Dabagov, S. B.

S. B. Dabagov, A. Marcelli, “Single-reflection regime of x rays that travel into a monocapillary,” Appl. Opt. 38, 7494–7497 (1999).
[CrossRef]

Yu. M. Alexandrov, S. B. Dabagov, M. A. Kumakhov, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, M. N. Yakimenko, “Peculiarities of photon transmission through capillary systems,” Nucl. Instrum. Methods Phys. Res. B 134, 174–180 (1998).
[CrossRef]

S. B. Dabagov, R. V. Fedorchuk, V. A. Murashova, S. V. Nikitina, M. N. Yakimenko, “Interference phenomenon under focusing of synchrotron radiation by a Kumakhov lens,” Nucl. Instrum. Methods Phys. Res. B 108, 213–218 (1996).
[CrossRef]

S. B. Dabagov, S. V. Nikitina, M. A. Kumakhov, N. S. Ibraimov, G. A. Vartaniants, A. N. Nikitin, L. Spielberger, “Focusing of x-rays by capillary systems,” Nucl. Instrum. Methods Phys. Res. B 103, 99–105 (1995).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, V. A. Murashova, R. V. Fedorchuk, M. N. Yakimenko, “Observation of interference effects at the focus of an x-ray lens,” J. Synchrotron Radiat. 2, 132–135 (1995).
[CrossRef] [PubMed]

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, “On the interference of x-rays in multiple reflection optics,” Phys. Lett. A 203, 279–282 (1995).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, M. N. Yakimenko, “Experience on synchrotron radiation passage through capillary macrosystems,” in Hard X-Ray and Gamma-Ray Detector Physics, Optics and Applications, R. B. Hoover, F. P. Doty, eds., Proc. SPIE3115, 100–110 (1997).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, “Passage of synchrotron radiation through capillary macrosystems,” in X-Ray and Extreme Ultraviolet Optics, R. B. Hoover, A. B. Walker, eds., Proc. SPIE2515, 506–513 (1995).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, “X-ray channeling in capillary systems,” in X-Ray and Extreme Ultraviolet Optics, R. B. Hoover, A. B. Walker, eds., Proc. SPIE2515, 124–136 (1995).
[CrossRef]

Engström, P.

L. Vincze, K. Janssens, F. Adams, A. Rindby, P. Engström, “Interpretation of capillary generated spatial and angular distributions of x rays: theoretical modeling and experimental verification using the European Synchrotron Radiation Facility Optical beam line,” Rev. Sci. Instrum. 69, 3494–3503 (1998).
[CrossRef]

Fedin, D. A.

Yu. M. Alexandrov, S. B. Dabagov, M. A. Kumakhov, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, M. N. Yakimenko, “Peculiarities of photon transmission through capillary systems,” Nucl. Instrum. Methods Phys. Res. B 134, 174–180 (1998).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, “Passage of synchrotron radiation through capillary macrosystems,” in X-Ray and Extreme Ultraviolet Optics, R. B. Hoover, A. B. Walker, eds., Proc. SPIE2515, 506–513 (1995).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, M. N. Yakimenko, “Experience on synchrotron radiation passage through capillary macrosystems,” in Hard X-Ray and Gamma-Ray Detector Physics, Optics and Applications, R. B. Hoover, F. P. Doty, eds., Proc. SPIE3115, 100–110 (1997).
[CrossRef]

Fedorchuk, R. V.

Yu. M. Alexandrov, S. B. Dabagov, M. A. Kumakhov, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, M. N. Yakimenko, “Peculiarities of photon transmission through capillary systems,” Nucl. Instrum. Methods Phys. Res. B 134, 174–180 (1998).
[CrossRef]

S. B. Dabagov, R. V. Fedorchuk, V. A. Murashova, S. V. Nikitina, M. N. Yakimenko, “Interference phenomenon under focusing of synchrotron radiation by a Kumakhov lens,” Nucl. Instrum. Methods Phys. Res. B 108, 213–218 (1996).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, V. A. Murashova, R. V. Fedorchuk, M. N. Yakimenko, “Observation of interference effects at the focus of an x-ray lens,” J. Synchrotron Radiat. 2, 132–135 (1995).
[CrossRef] [PubMed]

S. B. Dabagov, M. A. Kumakhov, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, M. N. Yakimenko, “Experience on synchrotron radiation passage through capillary macrosystems,” in Hard X-Ray and Gamma-Ray Detector Physics, Optics and Applications, R. B. Hoover, F. P. Doty, eds., Proc. SPIE3115, 100–110 (1997).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, “Passage of synchrotron radiation through capillary macrosystems,” in X-Ray and Extreme Ultraviolet Optics, R. B. Hoover, A. B. Walker, eds., Proc. SPIE2515, 506–513 (1995).
[CrossRef]

Flora, F.

S. V. Kukhlevsky, I. Z. Kozma, F. Flora, A. Marinai, L. Palladino, A. Reale, G. Tomassetti, A. Ritucci, “Diffraction of x rays in capillary waveguides,” in X-Ray Optics, Instruments, and Missions II, R. B. Hoover, A. B. Walker, eds., Proc. SPIE3766, 418–426 (1999).
[CrossRef]

Gibson, W. M.

W. M. Gibson, M. A. Kumakhov, “X-ray optics: Kumakhov optics,” in McGraw-Hill Yearbook of Science & Technology (McGraw-Hill, NY, 1993), pp. 487–490.

Ibraimov, N. S.

S. B. Dabagov, S. V. Nikitina, M. A. Kumakhov, N. S. Ibraimov, G. A. Vartaniants, A. N. Nikitin, L. Spielberger, “Focusing of x-rays by capillary systems,” Nucl. Instrum. Methods Phys. Res. B 103, 99–105 (1995).
[CrossRef]

Janssens, K.

L. Vincze, K. Janssens, F. Adams, A. Rindby, P. Engström, “Interpretation of capillary generated spatial and angular distributions of x rays: theoretical modeling and experimental verification using the European Synchrotron Radiation Facility Optical beam line,” Rev. Sci. Instrum. 69, 3494–3503 (1998).
[CrossRef]

Kalman, Z.

Kohn, V.

N. Artemiev, A. Artemiev, V. Kohn, N. Smolyakov, “Coherent phenomenon in reflection of radiation by an uneven mirror,” Phys. Scripta 57, 228–232 (1998).
[CrossRef]

Komarov, F. F.

M. A. Kumakhov, F. F. Komarov, “Multiple reflection from surface: x-ray optics,” Phys. Rep. 191, 289–350 (1990).
[CrossRef]

Kozma, I. Z.

S. V. Kukhlevsky, I. Z. Kozma, F. Flora, A. Marinai, L. Palladino, A. Reale, G. Tomassetti, A. Ritucci, “Diffraction of x rays in capillary waveguides,” in X-Ray Optics, Instruments, and Missions II, R. B. Hoover, A. B. Walker, eds., Proc. SPIE3766, 418–426 (1999).
[CrossRef]

Kozma, L.

S. V. Kukhlevsky, L. Kozma, K. Negrea, “Pulsed-mode analysis of soft x-ray radiation passing through capillary waveguides,” J. Mod. Opt. 43, 2595–2604 (1996).
[CrossRef]

Kukhlevsky, S. V.

S. V. Kukhlevsky, L. Kozma, K. Negrea, “Pulsed-mode analysis of soft x-ray radiation passing through capillary waveguides,” J. Mod. Opt. 43, 2595–2604 (1996).
[CrossRef]

S. V. Kukhlevsky, I. Z. Kozma, F. Flora, A. Marinai, L. Palladino, A. Reale, G. Tomassetti, A. Ritucci, “Diffraction of x rays in capillary waveguides,” in X-Ray Optics, Instruments, and Missions II, R. B. Hoover, A. B. Walker, eds., Proc. SPIE3766, 418–426 (1999).
[CrossRef]

Kumakhov, M. A.

Yu. M. Alexandrov, S. B. Dabagov, M. A. Kumakhov, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, M. N. Yakimenko, “Peculiarities of photon transmission through capillary systems,” Nucl. Instrum. Methods Phys. Res. B 134, 174–180 (1998).
[CrossRef]

S. B. Dabagov, S. V. Nikitina, M. A. Kumakhov, N. S. Ibraimov, G. A. Vartaniants, A. N. Nikitin, L. Spielberger, “Focusing of x-rays by capillary systems,” Nucl. Instrum. Methods Phys. Res. B 103, 99–105 (1995).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, V. A. Murashova, R. V. Fedorchuk, M. N. Yakimenko, “Observation of interference effects at the focus of an x-ray lens,” J. Synchrotron Radiat. 2, 132–135 (1995).
[CrossRef] [PubMed]

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, “On the interference of x-rays in multiple reflection optics,” Phys. Lett. A 203, 279–282 (1995).
[CrossRef]

M. A. Kumakhov, F. F. Komarov, “Multiple reflection from surface: x-ray optics,” Phys. Rep. 191, 289–350 (1990).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, “X-ray channeling in capillary systems,” in X-Ray and Extreme Ultraviolet Optics, R. B. Hoover, A. B. Walker, eds., Proc. SPIE2515, 124–136 (1995).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, “Passage of synchrotron radiation through capillary macrosystems,” in X-Ray and Extreme Ultraviolet Optics, R. B. Hoover, A. B. Walker, eds., Proc. SPIE2515, 506–513 (1995).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, M. N. Yakimenko, “Experience on synchrotron radiation passage through capillary macrosystems,” in Hard X-Ray and Gamma-Ray Detector Physics, Optics and Applications, R. B. Hoover, F. P. Doty, eds., Proc. SPIE3115, 100–110 (1997).
[CrossRef]

W. M. Gibson, M. A. Kumakhov, “X-ray optics: Kumakhov optics,” in McGraw-Hill Yearbook of Science & Technology (McGraw-Hill, NY, 1993), pp. 487–490.

M. A. Kumakhov, “X-ray and neutron polycapillary optics: status and perspectives,” in Hard X-Ray/Gamma-Ray and Neutron Optics, Sensors, and Applications, R. B. Hoover, F. P. Doty, eds., Proc. SPIE2859, 116–122 (1996).
[CrossRef]

Landau, L. D.

L. D. Landau, E. M. Lifshiz, MechanicsTheor. Phys. (Nauka, Moscow, 1973), v.1.

Lewis, A.

Lieberman, K.

Lifshiz, E. M.

L. D. Landau, E. M. Lifshiz, MechanicsTheor. Phys. (Nauka, Moscow, 1973), v.1.

Marcelli, A.

Marinai, A.

S. V. Kukhlevsky, I. Z. Kozma, F. Flora, A. Marinai, L. Palladino, A. Reale, G. Tomassetti, A. Ritucci, “Diffraction of x rays in capillary waveguides,” in X-Ray Optics, Instruments, and Missions II, R. B. Hoover, A. B. Walker, eds., Proc. SPIE3766, 418–426 (1999).
[CrossRef]

Mitropolsky, Yu. A.

N. N. Bogolyubov, Yu. A. Mitropolsky, Asymptotic Methods in Theory of Nonlinear Oscillations (Fizmatgiz, Moscow, 1958).

Murashova, V. A.

Yu. M. Alexandrov, S. B. Dabagov, M. A. Kumakhov, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, M. N. Yakimenko, “Peculiarities of photon transmission through capillary systems,” Nucl. Instrum. Methods Phys. Res. B 134, 174–180 (1998).
[CrossRef]

S. B. Dabagov, R. V. Fedorchuk, V. A. Murashova, S. V. Nikitina, M. N. Yakimenko, “Interference phenomenon under focusing of synchrotron radiation by a Kumakhov lens,” Nucl. Instrum. Methods Phys. Res. B 108, 213–218 (1996).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, V. A. Murashova, R. V. Fedorchuk, M. N. Yakimenko, “Observation of interference effects at the focus of an x-ray lens,” J. Synchrotron Radiat. 2, 132–135 (1995).
[CrossRef] [PubMed]

S. B. Dabagov, M. A. Kumakhov, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, M. N. Yakimenko, “Experience on synchrotron radiation passage through capillary macrosystems,” in Hard X-Ray and Gamma-Ray Detector Physics, Optics and Applications, R. B. Hoover, F. P. Doty, eds., Proc. SPIE3115, 100–110 (1997).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, “Passage of synchrotron radiation through capillary macrosystems,” in X-Ray and Extreme Ultraviolet Optics, R. B. Hoover, A. B. Walker, eds., Proc. SPIE2515, 506–513 (1995).
[CrossRef]

Negrea, K.

S. V. Kukhlevsky, L. Kozma, K. Negrea, “Pulsed-mode analysis of soft x-ray radiation passing through capillary waveguides,” J. Mod. Opt. 43, 2595–2604 (1996).
[CrossRef]

Nikitin, A. N.

S. B. Dabagov, S. V. Nikitina, M. A. Kumakhov, N. S. Ibraimov, G. A. Vartaniants, A. N. Nikitin, L. Spielberger, “Focusing of x-rays by capillary systems,” Nucl. Instrum. Methods Phys. Res. B 103, 99–105 (1995).
[CrossRef]

Nikitina, S. V.

S. B. Dabagov, R. V. Fedorchuk, V. A. Murashova, S. V. Nikitina, M. N. Yakimenko, “Interference phenomenon under focusing of synchrotron radiation by a Kumakhov lens,” Nucl. Instrum. Methods Phys. Res. B 108, 213–218 (1996).
[CrossRef]

S. B. Dabagov, S. V. Nikitina, M. A. Kumakhov, N. S. Ibraimov, G. A. Vartaniants, A. N. Nikitin, L. Spielberger, “Focusing of x-rays by capillary systems,” Nucl. Instrum. Methods Phys. Res. B 103, 99–105 (1995).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, “On the interference of x-rays in multiple reflection optics,” Phys. Lett. A 203, 279–282 (1995).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, V. A. Murashova, R. V. Fedorchuk, M. N. Yakimenko, “Observation of interference effects at the focus of an x-ray lens,” J. Synchrotron Radiat. 2, 132–135 (1995).
[CrossRef] [PubMed]

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, “Passage of synchrotron radiation through capillary macrosystems,” in X-Ray and Extreme Ultraviolet Optics, R. B. Hoover, A. B. Walker, eds., Proc. SPIE2515, 506–513 (1995).
[CrossRef]

Ognev, L. I.

L. I. Ognev, “On the structure of x-ray glass capillary lens focal spots,” Nucl. Instrum. Methods Phys. Res. B 124, 624–626 (1997).
[CrossRef]

Palladino, L.

S. V. Kukhlevsky, I. Z. Kozma, F. Flora, A. Marinai, L. Palladino, A. Reale, G. Tomassetti, A. Ritucci, “Diffraction of x rays in capillary waveguides,” in X-Ray Optics, Instruments, and Missions II, R. B. Hoover, A. B. Walker, eds., Proc. SPIE3766, 418–426 (1999).
[CrossRef]

Reale, A.

S. V. Kukhlevsky, I. Z. Kozma, F. Flora, A. Marinai, L. Palladino, A. Reale, G. Tomassetti, A. Ritucci, “Diffraction of x rays in capillary waveguides,” in X-Ray Optics, Instruments, and Missions II, R. B. Hoover, A. B. Walker, eds., Proc. SPIE3766, 418–426 (1999).
[CrossRef]

Rindby, A.

L. Vincze, K. Janssens, F. Adams, A. Rindby, P. Engström, “Interpretation of capillary generated spatial and angular distributions of x rays: theoretical modeling and experimental verification using the European Synchrotron Radiation Facility Optical beam line,” Rev. Sci. Instrum. 69, 3494–3503 (1998).
[CrossRef]

Ritucci, A.

S. V. Kukhlevsky, I. Z. Kozma, F. Flora, A. Marinai, L. Palladino, A. Reale, G. Tomassetti, A. Ritucci, “Diffraction of x rays in capillary waveguides,” in X-Ray Optics, Instruments, and Missions II, R. B. Hoover, A. B. Walker, eds., Proc. SPIE3766, 418–426 (1999).
[CrossRef]

Smolyakov, N.

N. Artemiev, A. Artemiev, V. Kohn, N. Smolyakov, “Coherent phenomenon in reflection of radiation by an uneven mirror,” Phys. Scripta 57, 228–232 (1998).
[CrossRef]

Spielberger, L.

S. B. Dabagov, S. V. Nikitina, M. A. Kumakhov, N. S. Ibraimov, G. A. Vartaniants, A. N. Nikitin, L. Spielberger, “Focusing of x-rays by capillary systems,” Nucl. Instrum. Methods Phys. Res. B 103, 99–105 (1995).
[CrossRef]

Spiller, E.

E. Spiller, Soft X-ray Optics, Monograph PM15yHC (SPIE Press, Bellingham, Wash., 1994).

Stern, E. A.

Tomassetti, G.

S. V. Kukhlevsky, I. Z. Kozma, F. Flora, A. Marinai, L. Palladino, A. Reale, G. Tomassetti, A. Ritucci, “Diffraction of x rays in capillary waveguides,” in X-Ray Optics, Instruments, and Missions II, R. B. Hoover, A. B. Walker, eds., Proc. SPIE3766, 418–426 (1999).
[CrossRef]

Vartaniants, G. A.

S. B. Dabagov, S. V. Nikitina, M. A. Kumakhov, N. S. Ibraimov, G. A. Vartaniants, A. N. Nikitin, L. Spielberger, “Focusing of x-rays by capillary systems,” Nucl. Instrum. Methods Phys. Res. B 103, 99–105 (1995).
[CrossRef]

Vincze, L.

L. Vincze, K. Janssens, F. Adams, A. Rindby, P. Engström, “Interpretation of capillary generated spatial and angular distributions of x rays: theoretical modeling and experimental verification using the European Synchrotron Radiation Facility Optical beam line,” Rev. Sci. Instrum. 69, 3494–3503 (1998).
[CrossRef]

Vinogradov, A. V.

A. V. Vinogradov, Mirror X-ray Optics (Mashinostroenie, Leningrad, Russia, 1989).

Yakimenko, M. N.

Yu. M. Alexandrov, S. B. Dabagov, M. A. Kumakhov, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, M. N. Yakimenko, “Peculiarities of photon transmission through capillary systems,” Nucl. Instrum. Methods Phys. Res. B 134, 174–180 (1998).
[CrossRef]

S. B. Dabagov, R. V. Fedorchuk, V. A. Murashova, S. V. Nikitina, M. N. Yakimenko, “Interference phenomenon under focusing of synchrotron radiation by a Kumakhov lens,” Nucl. Instrum. Methods Phys. Res. B 108, 213–218 (1996).
[CrossRef]

Yu. M. Alexandrov, M. N. Yakimenko, “Investigation on the S-60 SR source of the Lebedev Physical Institute,” Nucl. Instrum. Methods Phys. Res. A 359, 12–14 (1995).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, V. A. Murashova, R. V. Fedorchuk, M. N. Yakimenko, “Observation of interference effects at the focus of an x-ray lens,” J. Synchrotron Radiat. 2, 132–135 (1995).
[CrossRef] [PubMed]

S. B. Dabagov, M. A. Kumakhov, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, M. N. Yakimenko, “Experience on synchrotron radiation passage through capillary macrosystems,” in Hard X-Ray and Gamma-Ray Detector Physics, Optics and Applications, R. B. Hoover, F. P. Doty, eds., Proc. SPIE3115, 100–110 (1997).
[CrossRef]

Appl. Opt. (2)

J. Mod. Opt. (1)

S. V. Kukhlevsky, L. Kozma, K. Negrea, “Pulsed-mode analysis of soft x-ray radiation passing through capillary waveguides,” J. Mod. Opt. 43, 2595–2604 (1996).
[CrossRef]

J. Synchrotron Radiat. (1)

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, V. A. Murashova, R. V. Fedorchuk, M. N. Yakimenko, “Observation of interference effects at the focus of an x-ray lens,” J. Synchrotron Radiat. 2, 132–135 (1995).
[CrossRef] [PubMed]

Nucl. Instrum. Methods Phys. Res. A (1)

Yu. M. Alexandrov, M. N. Yakimenko, “Investigation on the S-60 SR source of the Lebedev Physical Institute,” Nucl. Instrum. Methods Phys. Res. A 359, 12–14 (1995).
[CrossRef]

Nucl. Instrum. Methods Phys. Res. B (4)

Yu. M. Alexandrov, S. B. Dabagov, M. A. Kumakhov, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, M. N. Yakimenko, “Peculiarities of photon transmission through capillary systems,” Nucl. Instrum. Methods Phys. Res. B 134, 174–180 (1998).
[CrossRef]

S. B. Dabagov, S. V. Nikitina, M. A. Kumakhov, N. S. Ibraimov, G. A. Vartaniants, A. N. Nikitin, L. Spielberger, “Focusing of x-rays by capillary systems,” Nucl. Instrum. Methods Phys. Res. B 103, 99–105 (1995).
[CrossRef]

S. B. Dabagov, R. V. Fedorchuk, V. A. Murashova, S. V. Nikitina, M. N. Yakimenko, “Interference phenomenon under focusing of synchrotron radiation by a Kumakhov lens,” Nucl. Instrum. Methods Phys. Res. B 108, 213–218 (1996).
[CrossRef]

L. I. Ognev, “On the structure of x-ray glass capillary lens focal spots,” Nucl. Instrum. Methods Phys. Res. B 124, 624–626 (1997).
[CrossRef]

Phys. Lett. A (1)

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, “On the interference of x-rays in multiple reflection optics,” Phys. Lett. A 203, 279–282 (1995).
[CrossRef]

Phys. Rep. (1)

M. A. Kumakhov, F. F. Komarov, “Multiple reflection from surface: x-ray optics,” Phys. Rep. 191, 289–350 (1990).
[CrossRef]

Phys. Scripta (1)

N. Artemiev, A. Artemiev, V. Kohn, N. Smolyakov, “Coherent phenomenon in reflection of radiation by an uneven mirror,” Phys. Scripta 57, 228–232 (1998).
[CrossRef]

Rev. Sci. Instrum. (1)

L. Vincze, K. Janssens, F. Adams, A. Rindby, P. Engström, “Interpretation of capillary generated spatial and angular distributions of x rays: theoretical modeling and experimental verification using the European Synchrotron Radiation Facility Optical beam line,” Rev. Sci. Instrum. 69, 3494–3503 (1998).
[CrossRef]

Other (10)

S. V. Kukhlevsky, I. Z. Kozma, F. Flora, A. Marinai, L. Palladino, A. Reale, G. Tomassetti, A. Ritucci, “Diffraction of x rays in capillary waveguides,” in X-Ray Optics, Instruments, and Missions II, R. B. Hoover, A. B. Walker, eds., Proc. SPIE3766, 418–426 (1999).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, M. N. Yakimenko, “Experience on synchrotron radiation passage through capillary macrosystems,” in Hard X-Ray and Gamma-Ray Detector Physics, Optics and Applications, R. B. Hoover, F. P. Doty, eds., Proc. SPIE3115, 100–110 (1997).
[CrossRef]

A. V. Vinogradov, Mirror X-ray Optics (Mashinostroenie, Leningrad, Russia, 1989).

E. Spiller, Soft X-ray Optics, Monograph PM15yHC (SPIE Press, Bellingham, Wash., 1994).

L. D. Landau, E. M. Lifshiz, MechanicsTheor. Phys. (Nauka, Moscow, 1973), v.1.

N. N. Bogolyubov, Yu. A. Mitropolsky, Asymptotic Methods in Theory of Nonlinear Oscillations (Fizmatgiz, Moscow, 1958).

W. M. Gibson, M. A. Kumakhov, “X-ray optics: Kumakhov optics,” in McGraw-Hill Yearbook of Science & Technology (McGraw-Hill, NY, 1993), pp. 487–490.

M. A. Kumakhov, “X-ray and neutron polycapillary optics: status and perspectives,” in Hard X-Ray/Gamma-Ray and Neutron Optics, Sensors, and Applications, R. B. Hoover, F. P. Doty, eds., Proc. SPIE2859, 116–122 (1996).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, S. V. Nikitina, V. A. Murashova, D. A. Fedin, R. V. Fedorchuk, “Passage of synchrotron radiation through capillary macrosystems,” in X-Ray and Extreme Ultraviolet Optics, R. B. Hoover, A. B. Walker, eds., Proc. SPIE2515, 506–513 (1995).
[CrossRef]

S. B. Dabagov, M. A. Kumakhov, “X-ray channeling in capillary systems,” in X-Ray and Extreme Ultraviolet Optics, R. B. Hoover, A. B. Walker, eds., Proc. SPIE2515, 124–136 (1995).
[CrossRef]

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Figures (7)

Fig. 1
Fig. 1

Typical x-ray distributions inside a curved capillary for the first (main) two modes. The intensity of the distribution for the mode m = 1 is increased 10 times for comparison.

Fig. 2
Fig. 2

Theoretical simulations of the intensity distributions behind two identical curved capillaries at the focal plane. (a) Distribution resulting from the superposition of the radiation distributions from separate capillaries and (b) a wave superposition. Calculations refer to the mode with m = 0. The sizes are in arbitrary units, but are the same for both panels.

Fig. 3
Fig. 3

Sketch of the SR experimental layout: 1, electron orbit; 2–6, SR beams; 7, mirrors; 8, vacuum pumps; 9, experimental chamber; 10, adjusting device; 11, filter holder; 12, capillary system; and 13, detector.

Fig. 4
Fig. 4

Focusing scheme by a capillary system consisting of two separate capillaries (1, system of filters and diaphragms; 2, holder of the capillary system; and 3, detector). Distances between the capillary centers at the entrance, a, and at the exit, b, respectively; rr curv is the curvature radius of the capillaries; and r 0 is the capillary channel radius.

Fig. 5
Fig. 5

Digitized microphotographs of the beams superposition at the focal plane. The x and y scales are the same and are given in millimeters.

Fig. 6
Fig. 6

Three-dimensional intensity distributions corresponding to the digitized microphotographs of Fig. 5. The x and y scales are the same of Fig. 5, and the intensity axes are plotted as arbitrary units.

Fig. 7
Fig. 7

Intensity of the film along the marked direction shown in Fig. 6 [represented in (a) and (b) by open squares]. Curves are obtained with a fitting procedure. The difference of the curves (a) and (b) is reported in panel (c). The intensity values are the same for panels (a), (b), and (c), and are given in arbitrary units.

Equations (9)

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

Δ+k2εEr=0.
ε=1r<r1ε0rr1,
r=r1+δr,  δr  r1.
Er, φ=Ar1, φuδr,
Ar1, φff00+f11+
Rφ=|Ar1, φ|2,
Δ+εeffuδr=0,
umρ  Φmρρ>0αΦm0expαρρ<0 α>0
γλ/u02π2λ/r11/3  1.

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