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Journal ArticleDOI

The Fourier Transform and Its Applications

Ronald N. Bracewell, +1 more
- 01 Aug 1966 - 
- Vol. 34, Iss: 8, pp 712-712
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This article is published in American Journal of Physics.The article was published on 1966-08-01. It has received 2834 citations till now. The article focuses on the topics: Fourier transform.

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A new approach for analyzing particle motion near an interface using total internal reflection microscopy.

TL;DR: A new method was developed for analyzing the normal motion of a single colloidal particle near an interface using the optical technique of total internal reflection microscopy to determine the distribution of vertical displacements of a particle from a specific starting position as a function of time.
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Growth of lysozyme crystals under microgravity conditions in the LMS (STS-78) mission

TL;DR: In this article, the authors used the interferometric data recorded during the experiment to reconstruct concentration gradients inside the protein chamber, which is tackled by fitting spatial gradients to profiles obtained by simulation.
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The probability of inevitability: the inherent impossibility of validating criteria for brain death or 'irreversibility' through clinical studies.

TL;DR: This article examines the inferences derived from a hypothetical confirmatory study in which all of the N patients who fulfilled the criterion did in fact experience brain death (irreversibility) and concludes that confirmatory studies are necessarily either inadequate or superfluous.
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Overlapping Magnetic Activity Cycles and the Sunspot Number: Forecasting Sunspot Cycle 25 Amplitude

TL;DR: In this paper, Hilbert transforms on more than 270 years of (monthly) sunspot numbers were used to identify the so-called "termination" events that mark the end of the previous 11-yr sunspot cycle, the enhancement/acceleration of the present cycle, and the beginning of 22-yr magnetic activity cycles.
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Explanation of the patterns in Mie theory

TL;DR: In this paper, the authors apply an exact microphysical model to explain most of the patterns, and reveal the physical cause of crossovers from one power-law to another, and a unique aspect of this microphysical approach is phasor analysis, which provides a visually based way to examine the angle-dependent wavelet superposition.