1. Born, M. and Wolf, E., Principles of Optics (Cambridge University Press, 1999), Seventh Edition, Chapter VII.

2. Jackson, J.D., Classical Electrodynamics (Wiley, New York, 1998), Third Edition. See the discussion in Section 7.8 regarding group velocity in the vicinity of atomic resonances.

3. Stratton, J.A., Electromagnetic Theory (McGraw-Hill, New York, 1941).

4. Fowles, G.R., Introduction to Modern Optics (Dover, New York, 1989).

5. Hecht, E., Optics (Addison-Wesley, Reading, 2002), Fourth Edition.

6. Compton, A.H. and Allison, S.K., X-Rays in Theory and Experiment (Van Nostrand, New York, 1935).

7. Henke, B.L., Gullikson, E.M., and Davis, J.C., Atomic and Nuclear Data Tables 54, 181–342 (1993).

8. Gullikson, E.M., www.cxro.LBL.gov/optical_constants .

9. Soufli, R. and Gullikson, E.M., “Reflectance Measurements on Clean Surfaces for the Determination of Optical Constants of Silicon in the Extreme Ultraviolet-Soft X-Ray Region,” Appl. Optics 36, 5499 (1997); R. Soufli, “Optical Constants of Materials in the EUV/Soft X-Ray Region for Multilayer Mirror Applications,” PhD thesis, Department of Electrical Engineering and Computer Sciences, University of California at Berkeley (1997).Google Scholar

10. Francon, M., Optical Interferometry (Academic, New York, 1966).

11. Bonse, U. and Hart, M., “An X-Ray Interferometer,” Appl. Phys. Lett. 6, 155 (1965).Google Scholar

12. Parratt, L.G., “Surface Studies of Solids by Total Reflection of X-Rays,” Phys. Rev. 95, 359 (1954).Google Scholar

13. Smith, D.Y. and Barkyoumb, J.H., “Sign Reversal of the Atomic Scattering Factor and Grazing Incidence Transmission at X-Ray Absorption Edges,” Phys. Rev. B 41, 11529 (1990).Google Scholar

14. Underwood, J.H., “Multilayer Mirrors for X-rays and the Extreme UV,” Optics News 12, 20 (Opt. Soc. Amer., Washington, DC, March 1996).Google Scholar

15. Landau, L.D. and Lifshitz, E.M., Electrodynamics of Continuous Media (Addison-Wesley, New York, 1960), pp. 256–261.

16. Marsden, J.E. and Hoffman, M.J., Basic Complex Analysis (Freeman, New York, 1973), Second Edition, p. 548.

17. Wooten, F., Optical Properties of Solids (Academic, New York, 1972).

18. Ditchburn, R.W., Light (Blackie, London, 1963), Second Edition, Appendix XIX.

19. Kreyszig, E., Advanced Engineering Mathematics (Wiley, New York, 1993), Seventh Edition, p. 770.

20. Bragg, W.L., “The Specular Reflection of X-rays,” Nature 90, No.2250, 410 (December 12,1912); W.L. Bragg, “The Diffraction of Short Electromagnetic Waves by a Crystal,” Proc. Cambridge Phil. Soc. 17, 43 (1913), presented November 11, 1912.Google Scholar

21. Bragg, W.H., “X-rays and Crystals”, Nature 90, No.2256, 572 (January 23, 1913).Google Scholar

22. Bragg, W.H. and Bragg, W.L., “The Reflection of X-rays by Crystals,” Proc. Royal Society (London) 88, No.605, 428 (July 1, 1913).Google Scholar

23. Shvyd'ko, Y., Stoupin, S., Blank, V. and Terentyev, S., “Near 100% Bragg Reflectivity of X-Rays,” Nature Phot. 5, 539 (2011); Y. V. Shvyd'ko et al., “High-Reflectivity High-Resolution X-ray Crystal Optics with Diamonds,” Nature Phys. 6, 196 (2010).Google Scholar

24. Batterman, B.W. and Bilderback, D.H., “X-ray Monochromators and Mirrors,” Chapter 4 in Handbook of Synchrotron Radiation, Vol. 3 (Elsevier Science, 1991), Edited by G. Brown and D.E. Moncton.Google Scholar

25. Matsushita, T. and Hashizume, H., “X-Ray Monochromators,” Chapter 4 in Handbook on Synchrotron Radiation, Vol. 1 (North Holland, 1983), Edited by E.E. Koch.

26. Borrmann, G., “Über Extinktionsdiagramme von Quarz,” Physikalische Zeitschrift XLII, 157 (July 15, 1941); B.W. Batterman and H. Cole, “Dynamical Diffraction of X-Rays by Perfect Crystals,” Rev. Mod. Phys. 36(3), 681 (July 1964).Google Scholar

27. Siegbahn, M., The Spectroscopy of X-rays (Oxford University Press, London, 1925), translated by G.A. Lindsay; Section 12, pp. 21–29.

28. Richtmyer, F.K., Kennard, E.H. and Lauritsen, T., Introduction to Modern Physics (McGraw-Hill, New York, 1955), Chapter 8, Section 161, pp. 392–393.

29. James, R.W., The Optical Principles of the Diffraction of X-Rays (Ox Bow Press, Woodbridge, CT, 1982); B.D. Cullity and S.R. Stock, Elements of X-Ray Diffraction (Prentice-Hall, NJ, 2001), Third Edition; B.E. Warren, X-Ray Diffraction (Dover, New York, 1990).

30. Als-Nielsen, J. and McMorrow, D., Elements of Modern X-Ray Physics (Wiley, 2011), Second Edition.

31. Bajt, S., Alameda, J.B., Barbee, T.W. et al., “Improved Reflectance and Stability of Mo-Si Multilayers,” Opt. Eng. 41(8), 1797 (August 2002).Google Scholar

32. Bajt, S., Stearns, D.G. and Kearny, P.A., “Investigation of the Amorphous-to-Crystalline Transition in Mo/Si Multilayers,” J. Appl. Phys. 90, 1017 (July 15, 2001).Google Scholar

33. Prasciolu, M., Leontowich, A.F.G., Beyerlein, K.R. and Bajt, S., “Thermal Stability Studies of Short Period Sc/Cr and Sc/B4C/Cr Multilayers,” Appl. Optics, 53 (10), 2126 (April 1, 2014).Google Scholar

34. Underwood, J.H. and Barbee, T.W., “Soft X-ray Imaging with a Normal Incidence Mirror,” Nature 294, 429 (December 3, 1981).Google Scholar

35. Eriksson, F., Johansson, G.A., Hertz, H.M. et al., “14.5% Near-Normal Incidence Reflectance of Cr/Sc X-ray Multilayer Mirrors for the Water Window,” Optics Lett. 28, 2494 (December 15, 2003).Google Scholar

36. MacDonald, M.A., Schäfers, F. and Gaupp, A., “A Single W/B4C Transmission Multilayer for Polarization Analysis of Soft X-rays up to 1 keV,” Optics Expr. 17, 23290 (December 7, 2009).Google Scholar

37. Underwood, J.H., Thompson, A.C., Wu, Y. and Giaque, R.D., “X-ray Microprobe Using Multilayer Mirrors,” Nucl. Instr. Meth. A 266, 296 (1988); J.H. Underwood, A.C. Thompson, J.B. Kortright, K.C. Chapman and D. Lunt, “Focusing X-rays to a 1-µm Spot Using Elastically Bent, Graded Multilayer Coated Mirrors,” Rev. Sci. Instrum. 67,1 (1996).Google Scholar

38. Yamauchi, K., Mimura, H., Kimura, T. et al., “Single-Nanometer Focusing of Hard X-rays by Kirkpatrick-Baez Mirrors,” J. Phys.: Condens. Matter 23, 394206 (September 2011).Google Scholar

39. Yoon, K.-H., Kwon, Y.-M., Choi, B.-J. et al., “Monochromatic X-rays for Low-Dose Digital Mamography: Preliminary Results,” Investigative Radiology 47, 683 (December 2005).Google Scholar

40. Harrison, F.A. et al., “The Nuclear Spectroscopic Telescope Array (NuStar) High-Energy X-ray Mission,” Astrophys. J. 770, 103 (June 20, 2013).Google Scholar

41. Windt, D.L., Donguy, S., Hailey, C.J. et al., “W/SiC X-ray Multlayers Optomized for Use Above 100 keV,” Applied Optics 42, 2415 (May 1, 2003).Google Scholar

42. Fernández-Perea, M., Descalle, M.-A., Soufli, R. et al., “Physics of Reflective Optics for the Soft Gamma-Ray Photon Energy Range”, Phys. Rev. Lett. 111, 027404 (July 12, 2013).Google Scholar