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Potential Due to a Magnetized Object01:24

Potential Due to a Magnetized Object

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Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
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An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
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Paramagnets are materials with unpaired electrons that possess a finite magnetic moment. In the absence of a magnetic field, these moments are randomly oriented, and thus the net moment is zero. Under an external field, a torque acting on the moments tends to align them along the field's direction. However, the random thermal motion of electrons produces a torque opposite to the external field and tries to disorient the moments. These two competing effects align only a few moments along the...
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Gauss's law states that the electric flux through any closed surface equals the net charge enclosed within the surface. This law is beneficial for determining the expressions for the electric field for a particular charge distribution if the electric flux is known.
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In linear magnetic materials, like paramagnets and diamagnets, magnetization is proportional to the magnetic field intensity. The constant of proportionality, a dimensionless number, is called magnetic susceptibility. The value of the susceptibility depends on the type of material.
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Maximum absorption by homogeneous magneto-dielectric sphere.

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    This study benchmarks electromagnetic energy harvesting by analyzing absorption efficiency in magneto-dielectric spheres. Optimal material properties were identified for small spheres, and high absorption plateaus were found for larger spheres.

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    Area of Science:

    • Electromagnetics
    • Materials Science
    • Energy Harvesting

    Background:

    • Electromagnetic energy harvesting requires understanding material interactions with electromagnetic waves.
    • Optimizing absorption efficiency is crucial for effective energy harvesting.
    • Homogeneous spheres are fundamental models for studying wave scattering and absorption.

    Purpose of the Study:

    • To establish a benchmark for electromagnetic energy harvesting.
    • To investigate the maximum absorption efficiency of a magneto-dielectric sphere under plane wave illumination.
    • To derive novel results for optimal material properties and absorption efficiency.

    Main Methods:

    • Analytical and numerical investigations.
    • Application of Lorenz-Mie theory.
    • Utilizing the optical theorem.

    Main Results:

    • For electrically small spheres, optimal relative permittivity and permeability (ε(r)', μ(r)') are (1+i3) for ε(r)', μ(r)'≥1, independent of size.
    • For metamaterials, optimal values are (-2+iδ), with δ decreasing as sphere size decreases.
    • For larger spheres, maximum absorption occurs at spherical mode resonances, with a wide plateau of high efficiency at constant intrinsic impedance.
    • An absorption efficiency of 2.8 was achieved for free-space intrinsic impedance and electrical radius κ=1.

    Conclusions:

    • Novel insights into optimizing absorption efficiency for electromagnetic energy harvesting were obtained.
    • The study provides a benchmark for designing materials for efficient energy harvesting.
    • Results are applicable to both conventional magneto-dielectric materials and metamaterials across different sphere sizes.