Electromagnetic quantities in 3-space and the dual Hodge operator

2002 ◽  
Vol 149 (3) ◽  
pp. 138 ◽  
Author(s):  
G. Fournet
Keyword(s):  
Hodge Operator ◽  
Electromagnetic Quantities

scholarly journals ANALYTICAL CALCULATIONS OF ELECTROMAGNETIC QUANTITIES FOR SLOTTED BRUSHLESS MACHINES WITH SURFACE-INSET MAGNETS

2017 ◽  
Vol 72 ◽  
pp. 49-65 ◽  
Author(s):  
Akbar Rahideh ◽  
Hossein Moayed-Jahromi ◽  
Mohamed Mardaneh ◽  
Frederic Dubas ◽  
Theodosios Korakianitis
Keyword(s):  
Electromagnetic Quantities

scholarly journals A Complex of the Electromagnetic Biosensors with a Nanowired Pickup

2009 ◽  
Vol 2009 ◽  
pp. 1-20 ◽  
Author(s):  
Rostyslav Sklyar
Keyword(s):  
Magnetic Moment ◽  
Magnetic Beads ◽  
Haemoglobin Concentration ◽  
Ionic Channels ◽  
Full Scale ◽  
Passive Mode ◽  
First Order ◽  
Electromagnetic Quantities ◽  
Different Origins ◽  
Additional Excitation

The proposal to measure the biosignal values of different origins with advanced nanosensors of electromagnetic quantities is justified when allowing for superconducting abilities of the devices. They are composed in full-scale arrays. The said arrays can be both implantable into ionic channels of an organism and sheathed on the sources of the electromagnetic emanation. Nanowired head sensors function both in passive mode for picking up the biosignals and with additional excitation of a defined biomedium through the same head (in reverse). The designed variety of bio-nanosensors allow interfacing a variety of biosignals with the external systems, also with a possibility to control the exposure on an organism by artificially created signals. The calculated signals lies in the range of to 5 V, molecules or magnetic beads,  pH, and stream speed  m/s, flow  m/s, and haemoglobin concentration of  . The sensitivity of this micro- or nanoscope can be estimated as (/√Hz) with SNR equal to . The sensitivity of an advanced first-order biogradiometer is equal to 3 fT/√Hz. The smallest resolvable change in magnetic moment detected by this system in the band 10 Hz is 1 fJ/T.

scholarly journals 3D harmonic modeling of eddy currents in segmented conducting structures

2019 ◽  
Vol 38 (1) ◽  
pp. 2-23 ◽  
Author(s):  
C.H.H.M. Custers ◽  
J.W. Jansen ◽  
M.C. van Beurden ◽  
E.A. Lomonova
Keyword(s):  
Finite Element ◽  
Eddy Current ◽  
Eddy Currents ◽  
Three Dimensional ◽  
Spatial Period ◽  
Content Type ◽  
Current Distributions ◽  
Wide Range ◽  
Conductivity Function ◽  
Electromagnetic Quantities

PurposeThe purpose of this paper is to describe a semi-analytical modeling technique to predict eddy currents in three-dimensional (3D) conducting structures with finite dimensions. Using the developed method, power losses and parasitic forces that result from eddy current distributions can be computed.Design/methodology/approachIn conducting regions, the Fourier-based solutions are developed to include a spatially dependent conductivity in the expressions of electromagnetic quantities. To validate the method, it is applied to an electromagnetic configuration and the results are compared to finite element results.FindingsThe method shows good agreement with the finite element method for a large range of frequencies. The convergence of the presented model is analyzed.Research limitations/implicationsBecause of the Fourier series basis of the solution, the results depend on the considered number of harmonics. When conducting structures are small with respect to the spatial period, the number of harmonics has to be relatively large.Practical implicationsBecause of the general form of the solutions, the technique can be applied to a wide range of electromagnetic configurations to predict, e.g. eddy current losses in magnets or wireless energy transfer systems. By adaptation of the conductivity function in conducting regions, eddy current distributions in structures containing holes or slit patterns can be obtained.Originality/valueWith the presented technique, eddy currents in conducting structures of finite dimensions can be modeled. The semi-analytical model is for a relatively low number of harmonics computationally faster than 3D finite element methods. The method has been validated and shown to be computationally accurate.

AN ${\rm SL}(2, {\mathbb C})$ ACTION ON CHIRAL RINGS AND THE MIRROR MAP

1992 ◽  
Vol 07 (35) ◽  
pp. 3277-3289 ◽  
Author(s):  
TRISTAN HÜBSCH ◽  
SHING-TUNG YAU
Keyword(s):  
Complex Structure ◽  
Inner Product ◽  
General Definition ◽  
Canonical Class ◽  
Hodge Operator ◽  
Volume Limit ◽  
Chiral Rings ◽  
Lefschetz Type ◽  
Definition Of ◽  
Mirror Map

Each transversal degree-d hypersurface ℳ in a weighted projective space defines a Landau-Ginzburg orbifold, the superpotential of which equals the defining polynomial of ℳ. For a generic such ℳ with trivial canonical class, the degree-0 (mod d) subring of the Jacobian ring (that is, the (c, c)-ring of the Landau-Ginzburg orbifold) is shown to admit an [Formula: see text] action and the corresponding Lefschetz-type decomposition. This leads to a general definition of a “large complex structure” limit, the mirror of the “large volume” limit, and the mirror images on ⊕qH3−q,q of the Hodge *-operator, duality and inner product on ⊕qHq,q.

Dimensions and Units of Electromagnetic Quantities: Author’s Reply

Geophysics ◽  
1946 ◽  
Vol 11 (3) ◽  
pp. 383-384
Author(s):  
Glenn J. Baker
Keyword(s):  
Theoretical Work ◽  
Program Committee ◽  
Conversion Table ◽  
System Of Units ◽  
The Subject ◽  
Electromagnetic Quantities

In the course of theoretical work and experimentation in the field it was my experience that the use of the m.k.s. system of units resulted in a saving of labor and also helped to clarify some concepts. The purpose of preparing my paper was, as stated, to present a conversion table and to bring to the attention of others the advantages of the m.k.s. system. These considerations, and an enterprising program committee, constituted my only “irresistible urge to publish something on the subject.”

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