# X-RAY DIFFRACTION AND SCATTERING

My earliest research interests concerned the physics of x-rays in perfect crystals. The goal is to understand how the periodic medium affects the propagation of x-rays (the dynamical theory of x-ray diffraction) and how it affects the emission of x-rays.

It is well known that x-rays undergo Bragg diffraction while radiation of longer wavelengths does not. My first research paper studied the transition between these two regimes. An important motivation for this study was the possibility of constructing resonant cavities for x rays.

“Dynamical Diffraction of x rays at Bragg angles near π/2” (with S. Caticha-Ellis) Phys. Rev. B 25, 971 (1982).

“Dynamical diffraction of x rays by thin crystals at Bragg angles near π/2” (with S. Caticha-Ellis) Phys. Stat. Sol. (a) 119, 47 (1990).

Other aspects of diffraction theory were studied in the papers below.

“Phenomenological quantum electrodynamics in periodic dielectric media” (with Néstor Caticha) Phys. Rev. B 46, 479 (1992).

“The diffraction of x rays at the far tails of the Bragg peaks” Phys. Rev. B 47, 76 (1993).

“The diffraction of x rays at the far tails of the Bragg peaks. II. The Darwin dynamical theory” Phys. Rev. B 49, 33 (1994).

“An asymptotic form of the reciprocity theorem with applications in x-ray scattering” Phys. Rev. B 62, 3639 (2000); arXiv.org/abs/physics/0001005.

The application of dynamical diffraction theory to modeling actual devices was explored in the following papers.

“A resonant cavity for the stimulated emission of x rays” (with N. Caticha and S. Caticha-Ellis) Appl. Phys. Lett. 54, 887 (1989).

“A Fabry-Perot interferometer for hard x rays” (with S. Caticha-Ellis) Phys. Stat. Sol. (a) 119, 643 (1990).

“Dynamical theory of x-ray diffraction by multilayered structures” SPIE Vol. 1740, 81 (1992).

“Reflection and transmission of x rays by graded interfaces” Phys. Rev. B 52, 9214 (1995).

“A thermal neutron interferometer of the Fabry-Perot type” (with S. Caticha-Ellis) Phys. Stat. Sol. (a) 153, 29 (1996).

“A Fabry-Perot interferometer for sub-meV x-ray energy resolution” (with K. Aliberti and S. Caticha-Ellis) Rev. Sci. Instrum. 67(9), 3380 (1996).

The peculiar effects that the presence of a crystalline medium has on the emission of x-rays were explored in the following papers.

“Transition-diffracted radiation and the Cerenkov emission of x rays” Phys. Rev. A 40, 4322 (1989).

“Quantum theory of the dynamical Cerenkov emission of x rays” Phys. Rev. B 45, 9541 (1992).

“An asymptotic form of the reciprocity theorem with applications in x-ray scattering” Phys. Rev. B 62, 3639 (2000); arXiv.org/abs/physics/0001005.