Focal shift induced by source displacements and optical figure errors

In this work the longitudinal shifts of the focal plane of an ellipsoidal mirror induced by longitudinal shifts of the source and by the optical figure error of the mirror itself are investigated. The case of an ideal mirror illuminated by a Gaussian beam is considered first, deriving an analytical...

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Veröffentlicht in:Journal of synchrotron radiation. - 1994. - 26(2019), Pt 5 vom: 01. Sept., Seite 1503-1513
1. Verfasser: Manfredda, Michele (VerfasserIn)
Weitere Verfasser: Raimondi, Lorenzo, Mahne, Nicola, Zangrando, Marco
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2019
Zugriff auf das übergeordnete Werk:Journal of synchrotron radiation
Schlagworte:Journal Article FEL Gaussian beams X-ray optics elliptical mirrors free-electron lasers wavefront sensing
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520 |a In this work the longitudinal shifts of the focal plane of an ellipsoidal mirror induced by longitudinal shifts of the source and by the optical figure error of the mirror itself are investigated. The case of an ideal mirror illuminated by a Gaussian beam is considered first, deriving an analytical formula predicting the source-to-focus shift. Then the realistic case of a mirror affected by surface shape defects is examined, by taking into account metrological data and numerically solving the Huygens-Fresnel integral. The analytical and numerical solutions in the ideal and real cases are compared. Finally, it is shown that an additional dependence of the focal shift is introduced on the wavelength and the pointing angle of the source. Both effects are investigated by numerical computations. We limit the treatment in the XUV spectral range, choosing as a test bench the Kirkpatrick-Baez mirror system of the DiProI and LDM end-stations and at the FERMI seeded free-electron laser (FEL). The work is primarily aimed at disentangling the different causes of focal shift at FEL light sources, where source position, wavelength and pointing angle are either tunable or rapidly fluctuating. The method can be easily extended to parabolic reflectors and refractors (lenses) with other kinds of illuminating sources and wavelengths 
650 4 |a Journal Article 
650 4 |a FEL 
650 4 |a Gaussian beams 
650 4 |a X-ray optics 
650 4 |a elliptical mirrors 
650 4 |a free-electron lasers 
650 4 |a wavefront sensing 
700 1 |a Raimondi, Lorenzo  |e verfasserin  |4 aut 
700 1 |a Mahne, Nicola  |e verfasserin  |4 aut 
700 1 |a Zangrando, Marco  |e verfasserin  |4 aut 
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