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Search results for: SPHERICAL HARMONICS
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Harmonia
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Kinedynamics of Spherical Wavefields in Fluid and Dielectric Continua
PublicationDistubances induced by physical sources in fluids or dielectrics maintain their primary character while propagating throughout either of these bi-dynamic continua. The paper defines and illustrates four sets of bi-fields based on four specific fundamental kinedynamic solutions to inhomogeneous wave equations related to quasi-point acoustic and electromagnetic sources.
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Magnetic switching of Kerker scattering in spherical microresonators
PublicationMagneto-optical materials have become a key tool in functional nanophotonics, mainly due to their ability to offer active tuning between two different operational states in subwavelength structures. In the long-wavelength limit, such states may be considered as the directional forward- and back-scattering operations, due to the interplay between magnetic and electric dipolar modes, which act as equivalent Huygens sources. In this...
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Recurrence and differential relations for sphericial spinors
PublicationPraca zawiera zestawienie kilkudziesięciu relacji rekurencyjnych i różniczkiowych, spełnianych przez spinory sferyczne (harmoniki sferyczne dla spinu 1/2).
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APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
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The problem of “spectrum leakage” in the measurement of harmonics
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Viscoelastic lubrication on spherical slide bearing in impulsive unsteady motion.
PublicationNiniejsza praca przedstawia numeryczne i semi-analityczne wyznaczanie składowych wektora prędkości lepkosprężystego oleju, oraz wartości ciśnienia hydrodynamicznego i sił nośnych w sferycznym łożysku ślizgowym o zmieniającej się w czasie niesymetrycznej szczelinie smarnej podczas nieustalonego impulsywnego smarowania. Łożyska ślizgowe o czopach kulistych występują w maszynach transportowych w celu lepszego manewrowania ustawieniem...
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Synthesis Methods and Favorable Conditions for Spherical Vaterite Precipitation: A Review
PublicationVaterite is the least thermodynamically stable anhydrous calcium carbonate polymorph. It exists very rare in nature, e.g. in some rock formations or as a component of biominerals produced by some fishes, crustaceans or birds. Synthetic vaterite particles are proposed as carriers of active substances in medicines, additive in cosmetic preparations as well as adsorbents. Also, their utilization as a pump for microfluidic flow is...
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Ground-State Entanglement Properties of Helium Atom in a Finite Spherical Cavity
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Resonance Frequency Calculation of Spherical Microstrip Structure Using Hybrid Technique
PublicationIn this paper the spherical microstrip structure is considered. The structure is composed of a metallic patch with an arbitrary shape placed on a dielectric coated metallic sphere. In the analysis the hybrid technique is utilized. In this approach the finite-difference technique is applied in a cavity model to determine the current basis functions on the patch. Next, using method of moments, the resonance frequency of the structure...