OSA's Digital Library

Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 38, Iss. 11 — Jun. 1, 2013
  • pp: 1808–1810

Analytical description of partially coherent propagation and absorption losses in x-ray planar waveguides

K. J. Tsanaktsidis, D. M. Paganin, and D. Pelliccia  »View Author Affiliations

Optics Letters, Vol. 38, Issue 11, pp. 1808-1810 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (350 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present an analytical approach to describe field propagation along a planar x-ray waveguide (WG) in the presence of absorption losses. The method utilizes the complete expression for the complex index of refraction in solving the Helmholtz equation describing the guided modes. In this way, the propagation modes for the WG are no longer imposed to be standing waves and the energy flow from the core to the cladding, a consequence of the absorption in the cladding, can be calculated. In addition, the method accurately describes the field coupling between a plane wave and the WG, reproducing the self-imaging phenomenon. The case of partially coherent illumination has also been calculated for a realistic laboratory x-ray source.

© 2013 Optical Society of America

OCIS Codes
(230.7390) Optical devices : Waveguides, planar
(340.7440) X-ray optics : X-ray imaging
(340.7460) X-ray optics : X-ray microscopy

ToC Category:
X-ray Optics

Original Manuscript: February 25, 2013
Revised Manuscript: April 17, 2013
Manuscript Accepted: April 22, 2013
Published: May 21, 2013

K. J. Tsanaktsidis, D. M. Paganin, and D. Pelliccia, "Analytical description of partially coherent propagation and absorption losses in x-ray planar waveguides," Opt. Lett. 38, 1808-1810 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. K. A. Nugent, Adv. Phys. 59, 1 (2010). [CrossRef]
  2. K. Giewekemeyer, H. Neubauer, S. Kalbfleisch, S. P. Kruger, and T. Salditt, New J. Phys. 12, 035008 (2010). [CrossRef]
  3. K. Giewekemeyer, S. P. Kruger, S. Kalbfleisch, M. Bartels, C. Beta, and T. Salditt, Phys. Rev. A 83, 023804 (2011). [CrossRef]
  4. D. Pelliccia, A. Sorrentino, I. Bukreeva, A. Cedola, F. Scarinci, M. Ilie, A. M. Gerardino, M. Fratini, and S. Lagomarsino, Opt. Express 18, 15998 (2010). [CrossRef]
  5. M. Osterhoff and T. Salditt, New J. Phys. 13, 103026 (2011). [CrossRef]
  6. J. H. H. Bongaerts, C. David, M. Drakopoulos, M. J. Zwanenburg, G. H. Wegdam, T. Lackner, H. Keymeulen, and J. F. van der Veen, J. Synchrotron Radiat. 9, 383 (2002). [CrossRef]
  7. I. Bukreeva, D. Pelliccia, A. Cedola, F. Scarinci, M. Ilie, C. Giannini, L. De Caro, and S. Lagomarsino, J. Synchrotron Radiat. 17, 61 (2009). [CrossRef]
  8. D. Pelliccia, I. Bukreeva, M. Ilie, W. Jark, A. Cedola, F. Scarinci, and S. Lagomarsino, Spectrochim. Acta Part B 62, 615 (2007). [CrossRef]
  9. I. Bukreeva, A. Popov, D. Pelliccia, A. Cedola, S. B. Dabagov, and S. Lagomarsino, Phys. Rev. Lett. 97, 184801 (2006). [CrossRef]
  10. C. Fuhse and T. Salditt, Opt. Commun. 265, 140 (2006). [CrossRef]
  11. D. Marcuse, Theory of Dielectric Optical Waveguides (Academic, 1974).
  12. J. A. Nelder and R. Mead, Comput. J. 7, 308 (1965). [CrossRef]
  13. O. Bryngdahl, J. Opt. Soc. Am. 63, 416 (1973). [CrossRef]
  14. I. Bukreeva, A. Cedola, A. Sorrentino, D. Pelliccia, V. Asadchikov, and S. Lagomarsino, Opt. Lett. 36, 2602 (2011). [CrossRef]
  15. M. Deutsch, G. Hölzer, J. Härtwig, J. Wolf, M. Fritsch, and E. Förster, Phys. Rev. A 51, 283 (1995). [CrossRef]

Cited By

Alert me when this paper is cited

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


Fig. 1. Fig. 2.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited