On the Theory of an X-Ray Fabry-Perot Interferometer

Abstract

The cover picture shows several forms of palladium which have been utilized as precatalysts for Heck and Suzuki coupling reactions. Over the years myriad different precat‐alysts have been used and the nature of the true catalytic palladium species has been a subject of intense debate. What is the real catalyst in these reactions? For more details see the review by Nam T. S. Phan, Matthew Van Der Sluys and Christopher W. Jones on pages 609–679.

X-Ray Interferometry with Microelectronvolt Resolution

“…The theory of such devices was propounded by Caticha et al [10,11]. A revised theory taking also into account possible imperfections of the x-ray Fabry-Pérot interferometers was given by Kohn et al [12]; see also [5,13].…”

“…Figure 2 shows simulations of the reflectivity and transmissivity of an x-ray Fabry-Pérot interferometer with such mirrors. The theory [12,5,13] was applied. The mirrors in the interferometer are at a distance of d g ' 50 mm chosen for reasons of the accessible time resolution, which is discussed below.…”

X-Ray Resonance in Crystal Cavities: Realization of Fabry-Perot Resonator for Hard X Rays

“…The fringe spacing, namely the E d , is about 3.60 meV, in agreement with the calculated value 3.65 meV from the relation E d = hc/2d. This is also consistent with the calculations based on the dynamical theory [11,12,15,18]. Since ∆E = 0.36 meV is smaller than E d = 3.60meV , criterion (a) is fulfilled.…”

“…The coherent interaction among the transmitted and the reflected beams inside the crystal plates and within the gap leads to cavity resonance. [7,11,12]. Moreover, images of concentric interference rings are expected to be seen in X-ray resonator as in an optical Fabry-Perot resonator [1].…”

“…However, an X-ray resonator for X-ray lasers has never been realized, although it has long been proposed [4]-[6] and pursued [7]-[14] from time to time for more than three decades. In fact, the difficulty in realizing X-ray resonators with observable resonance fringes arises mainly from the required experimental conditions on coherence are not easily attainable, aside from the many well documented theoretical studies of X-ray cavity resonance [3]- [12] reported in the literature. Recent experiments of Liss et al [13] and Shvyd'ko et al [14] have observed storage of X-ray photons in a few tens back-and-forth reflection cycles in two-plate crystals with continuously decaying reflectivities in time-resolved experiments.…”