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Related Concept Videos

Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

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...
Magnetic Field Lines01:19

Magnetic Field Lines

The representation of magnetic fields by magnetic field lines is very useful in visualizing the strength and direction of the magnetic field. Each of the magnetic field lines forms a closed loop. The field lines emerge from the north pole (N), loop around to the south pole (S), and continue through the bar magnet back to the north pole.
Magnetic field lines follow several hard-and-fast rules:
Divergence and Curl of Magnetic Field01:26

Divergence and Curl of Magnetic Field

The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:
Potential Due to a Magnetized Object01:24

Potential Due to a Magnetized Object

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.
The vector...
Plane Electromagnetic Waves II01:29

Plane Electromagnetic Waves II

Consider a plane wavefront traveling in position x-direction with a constant speed. This wavefront can be utilized to obtain the relationship between electric and magnetic fields with the help of Faraday's law.
Magnetic Field due to Moving Charges01:23

Magnetic Field due to Moving Charges

A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...

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Updated: May 25, 2026

Spectral and Angle-Resolved Magneto-Optical Characterization of Photonic Nanostructures
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Published on: November 21, 2019

Mirror mode expansion in planetary magnetosheaths: Bohm-like diffusion.

Akira Hasegawa1, Bruce T Tsurutani

  • 1Osaka University, Yamadaoka 2-1, Suita, Japan.

Physical Review Letters
|January 17, 2012
PubMed
Summary

Observed mirror modes in planetary magnetosheaths are larger than predicted. A Bohm diffusion process explains this by shifting wave numbers as modes move away from their source, matching observations across multiple celestial bodies.

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Area of Science:

  • Space Physics
  • Plasma Physics
  • Planetary Science

Background:

  • Mirror modes are observed in planetary magnetosheaths with scale sizes larger than theoretically predicted.
  • The instability's maximum growth rate typically corresponds to smaller scale sizes than observed.

Purpose of the Study:

  • To explain the observed scale sizes of mirror modes in planetary magnetosheaths.
  • To introduce a diffusion process that accounts for the discrepancy between theoretical predictions and observations.

Main Methods:

  • Introduced a Bohm diffusion process to model the shift in wave number spectra.
  • Applied the developed theory to spacecraft data from Earth, Jupiter, Saturn, and the heliosheath.

Main Results:

  • The Bohm diffusion model successfully explains why observed mirror mode scales are larger than those associated with maximum instability growth.
  • The theory demonstrated reasonable agreement with existing spacecraft observations from various planetary magnetosheaths and the heliosheath.

Conclusions:

  • Observed mirror mode scale sizes in planetary magnetosheaths can be explained by incorporating a Bohm diffusion process.
  • The findings suggest that wave number spectra shift as modes convect away from their source.
  • Further observational tests are recommended to validate the proposed theory.