Geoscience Reference
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2. Principle — Faraday Effect
The interaction between the light and the atmosphere is caused by
scattering (Mie, Rayleigh, Raman), and also by the magneto-optical effect
and electro-optical effect. The magneto-optical effect (Faraday effect)
is associated with the lightning discharge. It has been reported as an
optical measurement method for magnetic confinement fusion reactor. 5 The
polarization plane of a beam propagating parallel to the magnetic flux is
rotated in a partially ionized atmosphere (plasma) (Fig. 1). The rotation
angle is proportional to the product of the ionization electron density n e
and the magnetic flux density B along the beam propagation path. The
linearly polarized beam can be regarded as a combination of the clockwise
and the counterclockwise circularly polarized beams. The refractive indices
of the ionized atmosphere for each circularly polarized beam are as follows:
n ± = 1
1 / 2
ω pe
ω 2
ω
ω ± ω ce
,
e 2 n e
ε 0 m e
eB
m e
ω pe =
ω ce =
(1)
where ω pe , ω ce are the plasma and electron cyclotron frequencies, respect-
ively, e is the fundamental charge, m e is the electron mass, and ε 0 is the
permittivity of free space. Therefore, the rotation angle of polarization of
Rotation Angle
δ
Partially Ionized
Atmosphere/Cloud
Magnetic Flux
Density B
Linearly
Polarized Beam
Fig. 1.
Faraday effect.
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