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Magnetic fields produced by non-concentric and non-coplanar currents in circular loops

RAUL ARTURO ESPEJEL MORALES GABRIELA MURGUIA ROMERO ALIPIO GUSTAVO CALLES MARTINEZ JOSE LUIS MORAN LOPEZ (2019)

"A numerical calculation for the stationary magnetic field produced by arrangements of non-concentric and non-coplanar loop current circuits is presented. The calculation is done by superposing the solution of the magnetic field produced by a set of loops with constant currents that mimic two and three-dimensional systems. In the three-dimensional cases, this is achieved by rotating the magnetic field produced by the non-coplanar loops and adding all the contributions at any arbitrary point in the space. We report the case of two coplanar non-concentric loops that do not overlap and two concentric coplanar rings with different radii carrying currents in the same and opposite directions. Then we consider two non-coplanar rings that are tilted by an angle. More complicated systems consist of a set of loops forming a semi-doughnut. As an extension, we add at the two ends of this system concentric loops to form a horseshoe magnet with a circular cross-section and analyze the results as a function of its geometric characteristics. We can calculate the solutions of the magnetic field in all the space and plot their field lines using a technique that makes use of the Runge-Kutta fourth-order method. In all the cases we plot with different colors the field lines to give information on their strength."

Article

Magnetic fields Circular currents Numerical calculation Three-dimensional systems Non-concentric loops CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA FÍSICA FÍSICA

The Theoretical Rationale of the Existence of Electric and Magnetic Fields Spreading Instantaneously

RUMEN IVANOV TSONCHEV Andrew Chubykalo Augusto Espinoza (2012)

In this note, we show that the use of the Helmholtz vector decomposition theorem

leads to the theoretical rationale of the existence of solenoidal electric and magnetic ¯elds which

can spread instantaneously.

Producción Científica de la Universidad Autónoma de Zacatecas UAZ

Article

CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA Electric and Magnetic Fields classical electrodynamics

Synthesis and magnetoelectric characterization of cobalt ferrite—barium titanate composites using a new pulsed magnetic field method

MARIA EUGENIA BOTELLO ZUBIATE DARIO BUENO BAQUES LUIS EDMUNDO FUENTES COBAS JOSE ANDRES MATUTES AQUINO (2006)

BaTiO3-CoFe2O4 composites synthesized by the ceramic method showed a magnetoelectric effect. The CoFe2O4 powders were synthesized by coprecipitation and mixed with Aldrich reactive quality BaTiO3 powders with particle size <2 μm. The coupling of the magnetostrictive and the piezoelectric phases via elastic deformations of the properly polarized composites produced a magnetoelectric effect. The starting powders and the composites were characterized by thermal analysis, x-ray diffraction with Reitveld refinements, scanning electron microscopy and particle size distribution using light scattering. The magnetoelectric coefficient, α = dE/dH, was measured using the dynamic method, and a new pulsed magnetic field method developed in our laboratory.

Article

Cobalt Derrite magnetoelectric composite magnetic pulsed fields CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA FÍSICA OTRAS ESPECIALIDADES FÍSICAS OTRAS

The Theoretical Rationale of the Existence of Electric and Magnetic Fields Spreading Instantaneously

RUMEN IVANOV TSONCHEV Andrew Chubykalo (2012)

In this note, we show that the use of the Helmholtz vector decomposition theorem

leads to the theoretical rationale of the existence of solenoidal electric and magnetic ¯elds which

can spread instantaneously.

Producción Científica de la Universidad Autónoma de Zacatecas UAZ

Article

CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA Electric and Magnetic Fields classical electrodynamics

Campos ópticos singulares en la investigación de aberraciones de frente de onda y su aplicación a la óptica visual

JESUS EMMANUEL GOMEZ CORREA (2011)

Using an exact ray tracing, we study the diacaustics and catacoustics that are

created by refraction and reflection at different surfaces illuminated by a point

source at different positions. From the corresponding bundle of rays, the associated

wavefronts are constructed. Once the wavefronts are created their propagation are

studied using the wave equation showing the formation of the caustics. We present

the corresponding results for conic surfaces and a gradient index slab. We present

results for paraxial and non-paraxial cases.

En este trabajo, utilizando el trazado de rayos exactos se calculan las cáusticas

de reflexión (catacáusticas) y las de refracción (diacáusticas) para diferentes arreglos iluminados por una fuente puntual alejándose hasta infinito. Se determina

el frente de onda asociado a cada una de las cáusticas respectivas y se estudia el

patrón formado por su propagación (cáusticas de propagación) usando la ecuación

paraxial de onda. Al perturbar el frente de onda con aberraciones y caracterizar

los cambios a las cáustica de propagación permite entender los efectos causados

por las aberraciones en la imagen de la función punto extendido.

Master thesis

Visual optics Singular fields Caustics Aberrations Wavefront CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA FÍSICA ÓPTICA

The pedagogical value of the fourdimensional picture: III. Solutions to Maxwell’s equations

Andrew Chubykalo Augusto Espinoza (2016)

We outline a regular way for solving Maxwell’s equations. We take, as the

starting point, the notion of vector potentials. The rationale for introducing this

notion in electrodynamics is that the set of Maxwell’s equations is seemingly

overdetermined. We demonstrate the existence of two fundamental solutions

to Maxwell’s equations whose linear combinations comprise the whole variety

of classical electromagnetic field configurations.

Producción Científica de la Universidad Autónoma de Zacatecas UAZ

Article

CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA fundamental solutions of Maxwell’s equations gauge fields vector potentials

Self-dual electromagnetic fields

Augusto Espinoza Andrew Chubykalo (2010)

We demonstrate the utility of self-dual fields in electrodynamics. Stable configurations of free

electromagnetic fields can be represented as superpositions of standing waves, each possessing zero

Poynting vector and zero orbital angular momentum. The standing waves are themselves

superpositions of self-dual and anti-self-dual solutions. The idea of self-duality provides additional

insights into the geometrical and spectral properties of stable electromagnetic configurations, such

as those responsible for the formation of ball lightning

Producción Científica de la Universidad Autónoma de Zacatecas UAZ

Article

CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA self-duality electromagnetic configurations electromagnetic fields

Many fields interaction: Beam splitters and waveguide arrays

Reyle Mar Sarao FRANCISCO SOTO EGUIBAR Héctor Manuel Moya Cessa (2011)

We study the interaction of many fields. We obtain an effective Hamiltonian for this system by using a method recently introduced that produces a small rotation to the Hamiltonian that allows to neglect some terms in the rotated Hamiltonian. We show that coherent states remain coherent under the action of a quadratic Hamiltonian and by solving the eigenvalue and eigenvector problem for tridiagonal matrices we also show that a system of n interacting harmonic oscillators, initially in coherent states, remain coherent during the interaction.

Article

Master equations Nonclassical fields Evolution of coherent states CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA FÍSICA ÓPTICA ÓPTICA

Unusual formations of the free electromagnetic field in vacuum

Andrew Chubykalo Augusto Espinoza (2002)

It is shown that there are exact solutions of the free Maxwell equations (FME)

in vacuum allowing the existence of stable spherical formations of the free

magnetic field and ring-like formations of the free electric field. It is detected

that the formof these spheres and rings does not changewith time in vacuum. It

is shown that these convergent solutions are the result of the interference of some

divergent solutions of the FME. One can surmise that these electromagnetic

formations correspond to Kapitsa’s hypothesis about interference origin and

the structure of a fireball.

Producción Científica de la Universidad Autónoma de Zacatecas UAZ

Article

CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA Free Maxwell equiations Electromagnetic fields