2002
DOI: 10.1117/12.450480
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High-efficiency and low-absorption Fresnel compound zone plates for hard X-ray focusing

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Cited by 13 publications
(4 citation statements)
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“…Regularization as a technology for solving incorrectly presented problems [42], which took its development in the 60s of the last century in the method of computed tomography, in no time found its application in the implementation of the algebraic approach for reconstruction [20]. Today, when the achieved nanometer resolution [43] worsened SNR, regularization methods are again in demand [44,45]. The use of mathematical models in computational experiments describing the relationship between the magnitude of the recorded signal, the spatial distribution of the attenuation coefficient, and the description of the optical path made it possible to specify the form of the regularizing term and obtain a stable solution to the reconstruction problem in a number of cases.…”
Section: Algebraic Approach For Reconstruction Allowing To Work In Po...mentioning
confidence: 99%
“…Regularization as a technology for solving incorrectly presented problems [42], which took its development in the 60s of the last century in the method of computed tomography, in no time found its application in the implementation of the algebraic approach for reconstruction [20]. Today, when the achieved nanometer resolution [43] worsened SNR, regularization methods are again in demand [44,45]. The use of mathematical models in computational experiments describing the relationship between the magnitude of the recorded signal, the spatial distribution of the attenuation coefficient, and the description of the optical path made it possible to specify the form of the regularizing term and obtain a stable solution to the reconstruction problem in a number of cases.…”
Section: Algebraic Approach For Reconstruction Allowing To Work In Po...mentioning
confidence: 99%
“…Interestingly, while the intensity of light coming into even diffraction orders for standard rectangular FZPs is zero, it substantially increases if the FZP profile deviates from the standard shape or placement. As the resolution increases with the diffraction order (Equation (1)), this effect can be used to perform microscopy at higher resolutions [37][38]. Previous studies have shown for instance that by changing the line to space ratio of the zones from the standard value 1:1 to 1:3, the efficiency of the 2 nd order increases from zero up to a fourth of the 1 st order efficiency [38][39].…”
Section: Fabrication and Designmentioning
confidence: 99%
“…Fresnel x-ray zone plates (FXZP) are x-ray optical elements, which are widely used for x-ray imaging and sharp focusing of x-rays in the wavelength range from soft ͑ ϭ 46.9 nm͒ [1,2] to hard ͑energy Ͼ 10 keV͒ [3] radiation. These optical elements have been extensively studied for the past 25 years, but still remain rather expensive and difficult to manufacture.…”
mentioning
confidence: 99%