X-Ray Waveguides

Bukreev, I. N.; Cedola, Alessia; Pelliccia, Daniele; Jark, W.; Lagomarsino, S.

doi:10.1142/9789812779014_0009

Cited by 1 publication

(1 citation statement)

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“…The restriction to real indices has tremendous advantages because the theory can now be formulated in terms of self-adjoint Sturm-Liouville theory, closely related to potential scattering theory in quantum mechanics. For x-ray waveguides, the existing theory of waveguides with real indices has also been the method of choice and absorption has been included ad hoc [14,16,[30][31][32][33]. In addition, semi-analytical calculations [16] and numerical finite-differences propagation have been performed [34][35][36][37] to accurately simulate the performance of waveguides.…”

Section: Introductionmentioning

confidence: 99%

Nano-optical theory of planar x-ray waveguides

Lohse,

Andrejic

2023

Preprint

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X-ray waveguides are routinely used at synchrotron light sources in imaging setups and as a platform for experiments with quantum emitters, providing nanometer-sized confinement – even x-ray optics on a chip has been showcased. X-ray waveguides are weakly guiding and experience significant material absorption, such that the established waveguide theory is not immediately applicable. Here, a a general self-contained nano-optical theory of planar waveguides is derived, which is appropriate for hard x-ray energies. Solutions of the electromagnetic fields and its Green’s functions and their expansions into resonant and non-resonant modes are derived. A method to reliably find the resonant modes of x-ray waveguide structures is presented. Based on the general theory, certain common experimental geometries, namely evanescent coupling in grazing-incidence, front-coupling in forward-incidence and radiation from buried emitters, are discussed in more detail. Complementing the analytic discussion, numerical tools are provided and applied to quantitatively extract the main figures of merit. The theory provides an analytic foundation for the interpretation of past and future experiments and, combined with the numerical tools, will facilitate the computer-aided design of x-ray waveguides.

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