Power Sources for Accelerators Beyond X-Band

Colby, E.

doi:10.1142/9789812703064_0010

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A Real Surface1

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2021

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Cited by 1 publication

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References 16 publications

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“…Therefore, if the aim of radiation is to characterize the surface, or to generate or keep a specific wave, such a reflected beam is not useful. One of the main concerns in communication (Barker & Schamiloglu, 2001) and high energy accelerators studies (see e.g., Chodorow et al, 1955;Colby, 2004) is the smoothness of a polished metal surface called the waveguide, which is always assumed to be completely smooth. The waveguide is usually covered by a layer of polishing liquid to make it smoother.…”

Section: A Real Surfacementioning

confidence: 99%

The estimation of the fractal dimension of a Gaussian field via Euler characteristic

Taheriyoun

Shafie

2021

Can J Statistics

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Fractal dimension is a useful characteristic for measuring the irregularity of random fields. In this work, we employ the Euler characteristic (EC) of the excursion sets of a field to estimate the fractal dimension of the random field using the roughness of the underlying realization. The EC of a non‐differentiable Gaussian field is either zero or infinity with probability one and hence we employ a weighted smooth version of the field. Under some weak assumptions, the estimator is consistent when the weight function is constant. The results are examined through a simulation study and applied on real data.

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Section: A Real Surfacementioning

confidence: 99%