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In this article, we present a new analytical formulation for calculation of the mutual inductance between two circular filaments arbitrarily oriented with respect to each other, as an alternative to Grover [1] and Babic [2] expressions…

Classical Physics · Physics 2019-03-26 Kirill V. Poletkin , Jan G. Korvink

In this article, sets of analytical formulas for calculation of nine components of magnetic stiffness of corresponding force arising between two current-carrying circular filaments arbitrarily oriented in the space are derived by using…

Applied Physics · Physics 2023-01-25 Kirill Poletkin , Slobodan Babic

In this article, formulas for the calculation of force and torque between two circular filaments arbitrarily oriented in space were derived by using Kalantarov-Zeitlin's method. Formulas are presented in an analytical form through integral…

Applied Physics · Physics 2022-03-18 Kirill Poletkin

This paper proposes the estimation of a mutual shape from a set of different segmentation results using both active contours and information theory. The mutual shape is here defined as a consensus shape estimated from a set of different…

Image and Video Processing · Electrical Eng. & Systems 2021-02-18 S. Jehan-Besson , R. Clouard , C. Tilmant , A. de Cesare , A. Lalande , J. Lebenberg , P. Clarysse , L. Sarry , F. Frouin , M. Garreau

This paper introduces a shape optimisation framework for achieving desired mutual inductances (MIs) among coils in 3D space. Utilising a wire modelling approach, the coils are discretised using B-spline curves, with control points (CPs)…

Mathematical Physics · Physics 2025-06-18 Toru Takahashi , Tatsuya Tokito , Yi Cui , Toshiro Matsumoto

In this letter we determine the derivative of the mutual information corresponding to bit-interleaved coded modulation systems. The derivative follows as a linear combination of minimum-mean-squared error functions of coded modulation sets.…

Information Theory · Computer Science 2007-08-16 Albert Guillen I Fabregas , Alfonso Martinez

Data are presented on mutual and self-inductance of various inductors used in multilayered superconductor integrated circuits: microstrips and striplines with widths of signal traces from 250 nm to a few micrometers, located on the same…

Superconductivity · Physics 2023-02-03 Sergey K. Tolpygo , Evan B. Golden , Terence J. Weir , Vladimir Bolkhovsky

The paper proposes a technique of non-uniform segmentation of multiconductor transmission lines with edge coupling. This technique allows obtaining causal capacitance matrices with the lowest computational costs on multivariate analysis in…

Numerical Analysis · Mathematics 2021-10-20 A. E. Maksimov , S. P. Kuksenko

We present a simple method for calculation of diffraction effects in a beam passing an aperture. It follows the well-known approach of Miyamoto and Wolf, but is simpler and does not lead to singularities. It is thus shown that in the…

Optics · Physics 2020-01-29 Eitam Luz , Er'el Granot , Boris Malomed

In-circuit impedance provides key information for many EMC applications. The inductive coupling approach is a promising method for in-circuit impedance measurement because its measurement setups have no direct electrical contact with the…

Instrumentation and Detectors · Physics 2022-04-05 Zhenyu Zhao , Fei Fan , Huamin Jie , Quqin Sun , Pengfei Tu , Wensong Wang , Kye Yak See

For designing high-field electromagnets, the Lorentz force on coils must be computed to ensure a support structure is feasible, and the inductance should be computed to evaluate the stored energy. Also, the magnetic field and its variation…

Applied Physics · Physics 2023-10-19 Matt Landreman , Siena Hurwitz , Thomas M Antonsen

Automatic Modulation Classification (AMC) is an essential technology that is widely applied into various communications scenarios. In recent years, many Machine Learning and Deep-Learning methods have been introduced into AMC, and a lot of…

Signal Processing · Electrical Eng. & Systems 2024-12-31 N. Ussipov , S. Akhtanov , Z. Zhanabaev , D. Turlykozhayeva , B. Karibayev , T. Namazbayev , D. Almen , A. Akhmetali , X. Tang

This paper gives a method that maps the static magnetic field due to a system of parallel current-carrying wires to a complex function. Using this function simplifies the calculation of the magnetic field energy density and inductance per…

Classical Physics · Physics 2016-12-09 Eric Deyo

In-circuit impedance measurement provides useful information for many EMC applications. The inductive coupling approach is a promising in-circuit impedance measurement method due to its non-contact characteristics and simple on-site…

Instrumentation and Detectors · Physics 2022-04-19 Zhenyu Zhao , Fei Fan , Huamin Jie , Zhenning Yang , Minghai Dong , Eng Kee Chua , Kye Yak See

The implicit boundary integral method (IBIM) provides a framework to construct quadrature rules on regular lattices for integrals over irregular domain boundaries. This work provides a systematic error analysis for IBIMs on uniform…

Numerical Analysis · Mathematics 2023-12-14 Yimin Zhong , Kui Ren , Olof Runborg , Richard Tsai

The interstellar medium is characterised by an intricate filamentary network which exhibits complex structures. These show a variety of different shapes (e.g. junctions, rings, etc.) deviating strongly from the usually assumed cylindrical…

Astrophysics of Galaxies · Physics 2021-07-14 Elena Hoemann , Stefan Heigl , Andreas Burkert

A description of an algorithm for a rather general modal grating calculation is presented. Arbitrary profiles, depth, and permittivity are allowed. Gratings built up from sub-gratings are allowed, as are coatings on the sidewalls of lines,…

Optics · Physics 2015-06-26 Mark P. Davidson

We present a simple method to determine the mutual inductance $M$ between two coils in a coupled AC circuit by using a digital dual-phase lock-in amplifier. The frequency dependence of the real and imaginary parts is measured as the…

The multimode conductance of a {\em closed} ring is found within the framework of a scattering approach. The expression can be regarded as a generalization of the Landauer formula. The treatment is essentially {\em classical} because we…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Doron Cohen , Yoav Etzioni

It is well known that the number of particles should be scaled up to enable industrial scale simulation. The calculations are more computationally intensive when the motion of the surrounding fluid is considered. Besides the advances in…

Computational Physics · Physics 2014-07-28 Hao Zhang , F. Xavier Trias , Assensi Oliva , Dongmin Yang , Yuanqiang Tan , Shi Shu , Yong Sheng
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