Theory of the Concave Grating I*†

Namioka, Takeshi

doi:10.1364/josa.49.000446

Cited by 165 publications

(30 citation statements)

References 12 publications

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“…The small longward shifts of the peak positions (compare the solid and dashed curves) for the 2 shorter wavelengths ((b) and (d)) is due to " 1 micron image curvature of the straight entrance slit, as given by Equation (11). For the longest wavelength trace (i), the shift is seen to be in the opposite (shortward) direction and very small (" 0.2 microns), as predicted by Equation (63).…”

Section: Line Profilesmentioning

confidence: 97%

“…The purist of wave aberration methods [11] constructs the physical light-path from object point to actual (floating) image point and employs Fermat's principle by setting the wave aberration differential to zero for the sum of all terms. This approach does not evaluate the individual aberrations, other than those of lowest degree in each direction (i.e., defocusing and astigmatism).…”

Section: A Rigorous Theory Of Light-path Expansionmentioning

confidence: 99%

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A Single-Element Plane Grating Monochromator

Hettrick¹

2016

Photonics

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Concerted rotations of a self-focused varied line-space diffraction grating about its groove axis and surface normal define a new geometric class of monochromator. Defocusing is canceled, while the scanned wavelength is reinforced at fixed conjugate distances and horizontal deviation angle. This enables high spectral resolution over a wide band, and is of particular advantage at grazing reflection angles. A new, rigorous light-path formulation employs non-paraxial reference points to isolate the lateral ray aberrations, with those of power-sum ď 3 explicitly expanded for a plane grating. Each of these 14 Fermat equations agrees precisely with the value extracted from numerical raytrace simulations. An example soft X-ray design (6˝deviation angle and 2ˆ4 mrad aperture) attains a resolving power ą 25, 000 over a three octave scan range. The proposed rotation scheme is not limited to plane surfaces or monochromators, providing a new degree of freedom in optical design. Grating rotation about its third (meridional) axis may be employed to cancel vertical deflection of the diffracted beam while maintaining the above aberration correction. This enables a simpler (pure rotary) motion for the exit slit and a fixed beam direction both horizontally and vertically.

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Section: Line Profilesmentioning

confidence: 97%

Section: A Rigorous Theory Of Light-path Expansionmentioning

confidence: 99%

A Single-Element Plane Grating Monochromator

Hettrick¹

2016

Photonics

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“…The general condition given by equation 1 does not minimize the optical aberrations as well as the Rowland circle condition. 35,36 By displacing the source away from the Rowland circle one increases the magnitude of aberrations and a question arises whether this affects the resolution. Our results in Figure 5a show however that in the range of distances up to 25 mm between the jet and the entrance slit, the effect on the resolution is negligible.…”

Section: F Sensitivity To Source Position and Stabilitymentioning

confidence: 99%

A setup for resonant inelastic soft x-ray scattering on liquids at free electron laser light sources

Kunnus

Rajković

Schreck

et al. 2012

Review of Scientific Instruments

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We present a flexible and compact experimental setup that combines an in vacuum liquid jet with a x-ray emission spectrometer to enable static and femtosecond time-resolved resonant inelastic soft x-ray scattering (RIXS) measurements from liquids at free electron laser (FEL) light sources. We demostrate the feasibility of this type of experiments with the measurments performed at the Linac Coherent Light Source FEL facility. At the FEL we observed changes in the RIXS spectra at high peak fluences which currently sets a limit to maximum attainable count rate at FELs. The setup presented here opens up new possibilities to study the structure and dynamics in liquids.

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“…Seya-Namioka mount [1][2][3] has been widely employed in synchrotron facilities because of its simple mechanics. However, due to its rather large astigmatism, only moderately high wavelength resolution can be achieved using linear entrance and exit slits.…”

Section: Introductonmentioning

confidence: 99%