Spatial characterization of light beams analyzed by cylindrical-grating slit-less spectrometers

Abstract

In this work, we theoretically analyze the spatial information provided by cylindrical-grating slit-less spectrometers. We raise attention on the often not considered property that the spatial features acquired using these spectrometers are different from what can be obtained using a spectrometer with an entrance slit. In relation to this, we also highlight that they do not provide information directly on the real spatial beam profile. It is important to consider this fact in spatio-spectral analysis of extreme ultraviolet radiation, often carried out using cylindrical-grating slit-less spectrometers. Since the models used are based on the Fresnel diffraction integral and ideal optical systems, the results are valid also for other spectral regions.

Compact intense extreme-ultraviolet source

“…[37]. Backpropagation of the generated high-harmonic radiation was carried out using the ABCD-Hankel transform [38].…”

Supplementary document for Compact intense extreme-ultraviolet source - 5187604.pdf

“…S1 and S5 are solved in the Fourier domain. Propagation in vacuum on a distance of ∆z = z 2 − z 1 between two planes (from z 1 to z 2 ) -like focusing of the laser field, free propagation after generation or backpropagation of the generated high-harmonic radiation -is carried out using the ABCD-Hankel transform [7]:…”

Propagation-assisted generation of intense few-femtosecond high-harmonic pulses

“…The propagation of the harmonic field after it exits the generation medium was calculated using the ABCD-Bessel formalism [35] (or also called ABCD-Hankel transform [36]). This approach allows one to analyze free propagation of light through any optical element that can be described in the framework of the ABCD formalism [37]. NIR propagation effects in the HHG medium were studied by measuring the fluorescence yield in the glass cell as a function of the NIR propagation distance, see Fig.…”

“…The propagation of the harmonic field after it exits the generation medium was calculated using the ABCD-Bessel formalism [35] (or also called ABCD-Hankel transform [36]). This approach allows one to analyze free propagation of light through any optical element that can be described in the framework of the ABCD formalism [37]. (a) Experimental fluorescence yield from the HHG cell measured as a function of the propagation distance of the NIR pulses within the cell, where the entrance of the cell is at 0 cm and the exit of the cell is at 30 cm.…”