Results 211 to 220 of about 12,458 (247)

The Logarithmic Spiral

The Mathematics Teacher, 1974
This article will be of interest to teachers of analytic geometry. It points out some interesting properties of the logarithmic spiral and cites two examples from physics where this spiral finds applications.
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THz s-SNOM Imaging Of Logarithmic Spiral Antennas

2021 46th International Conference on Infrared, Millimeter and Terahertz Waves (IRMMW-THz), 2021
Probing the near-field of photonic components at sub-wavelength scale is of high interest to improve the design of future THz devices. We report on the THz near-field imaging of logarithmic spiral antennas by scattering-type scanning near-field optical microscopy (s-SNOM).
Santos, C., Thomas, Louis, Hannotte, Théo, Lavancier, Melanie, Eliet, Sophie, Lampin, Jean-Francois, Peretti, Romain   +6 more
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F. Controlled generalized logarithmic spirals

2017
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Logarithmic-spiral focusing monochromator

Review of Scientific Instruments, 1976
A crystal monochromator with a logarithmic-spiral curvature has been designed as part of a low-angle x-ray diffraction camera that uses synchrotron radiation emanating from the storage ring SPEAR at Stanford Linear Accelerator Center. The logarithmic-spiral curvature allows a greater demagnification of the source than is permitted by a cylindrical ...
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Zetaform or logarithmic spiral beach

Australian Geographer, 1978
(1978). Zetaform or logarithmic spiral beach. Australian Geographer: Vol. 14, No. 1, pp. 44-45.
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Plane logarithmic spiral with peripheral excitation

Radiophysics and Quantum Electronics, 1990
In a planar logarithmic spiral excited at its periphery there simultaneously exist surface, quasieffluent, and radiated waves; the phase velocities of surface and quasieffluent waves are identical and depend on the reduced radius kρ, which defines the regions of normal and anomalous dispersion; in the region kρ∼n the surface wave transforms to a ...
S. N. Boiko, K. P. Yatsuk
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Flying Along a Logarithmic Spiral

Science, 2000
ORGANISMAL BIOLOGY Peregrine falcons use two high performance skills—flight speed and visual acuity—to attack their prey. In a trio of papers, Tucker and his colleagues model the quantitative aspects of aerodynamic drag, assess the optimal integration of speed and sight, and present field observations of falcon flight.
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Logarithmic and hyperbolic spirals associated with Schrodinger's equation

Journal of Differential Equations, 2022
Geometric properties of the solutions of the equation \[ Q''+\frac{2}{\zeta}Q'-Q+ia(\zeta Q)'=0, \quad 00\), and become singular as \(\zeta \to 0^+\) They rotate around \((0, 0)\) with \({\theta}'_j(\zeta)
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Logarithmic spiral — A splendid curve

Resonance, 2004
Due to its various peculiarities, logarithmic spiral drew the attention of mathematicians and was called ‘spiral mirabilis’ by Jacob Bernoulli I. In this article some properties of logarithmic spiral have been described along with the appearance as well as applications of the curve in art and nature.
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On a Property of Logarithmic Spirals

Mathematics Magazine, 1968
Logarithmic spirals, analyzing curve on surface of cylinder, existence and conditions of ellipticity conditions, determining curve transformation into ellipse based on logarithmic spiral ...
N. X. Vinh, A. Zirakzadeh
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