Faraday Effect

Introduction to faraday effect:

Introduction to faraday effect:

Faraday effect or Faraday rotation describes the interaction between light and magnetic field in a material.The polarization of light rotates proportional to the magnetic field component in the direction of which light propagates.

The Faraday effect is a magneto-optical effect discovered by Michael Faraday in 1845. It appears in the most transparent dielectric materials when subjected to magnetic fields. This was the first evidence of the link between magnetism and light. The light that contains a magnetic field is now part of the electromagnetic radiation theory, developed by James Clerk Maxwell in 1860 and 1870.

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The Faraday effect is the result of ferromagnetic resonance. This implies that resonance decomposing the polarization of light into two circularly polarized rotating in opposite directions, these two components propagate at different speeds, a property known as birefringence. There appears a phase shift between these two components. The main consequence is that an incoming light beam with linear polarization in the medium considered emerging with its polarization orientation different.

There are Several uses of Faraday effecting in measuring instruments . For example, one can measure the polarization of substances conducting an amplitude modulation of light, or detect a magnetic field.

The Verdet Constant " V"

The relationship between the magnetic field B and the angle of rotation of the polarization obtained after traversing a distance in the substance is given by:'beta=nu Bd'whereis the angle of rotation (in radians)"B " magnetic flux density in the direction of propagation (teslas)"d is length of the path ( meters) where the light and magnetic field interact'nu' is the Verdet constant for the material. This empirical proportionality constant varies with wavelength and temperature and is tabulated for various materialsSome materials have a very high Verdet constant ( -40 rad.T-1.m-1). By placing a sample of this material in a strong magnetic field, a polarization rotation of 45 can be achieved. This allows the construction of a Faraday rotator (en).The Faraday Effect in Interstellar Environments:The Faraday effect occurs on the light traveling in interstellar space to Earth. Contrary to the Faraday effect in solids or liquids, we have here a simple dependence with the wavelength .Radio waves through the ionosphere of the Earth are also subject to the Faraday effect.The Doppler effect (or Doppler shift), named after the Austrian physicist Christian Doppler, who proposed it in 1842 in Prague, is the change in frequency of a wave (or other periodic event) for an observer moving relative to its source. It is commonly heard when a vehicle sounding a siren or horn approaches, passes, and recedes from an observer. The received frequency is higher (compared to the emitted frequency) during the approach, it is identical at the instant of passing by, and it is lower during the recession.The relative changes in frequency can be explained as follows. When the source of the waves is moving toward the observer, each successive wave crest is emitted from a position closer to the observer than the previous wave. Therefore each wave takes slightly less time to reach the observer than the previous wave. Therefore the time between the arrival of successive wave crests at the observer is reduced, causing an increase in the frequency. While they are travelling, the distance between successive wave fronts is reduced; so the waves "bunch together". Conversely, if the source of waves is moving away from the observer, each wave is emitted from a position farther from the observer than the previous wave, so the arrival time between successive waves is increased, reducing the frequency. The distance between successive wave fronts is increased, so the waves "spread out".For waves that propagate in a medium, such as sound waves, the velocity of the observer and of the source are relative to the medium in which the waves are transmitted. The total Doppler effect may therefore result from motion of the source, motion of the observer, or motion of the medium. Each of these effects are analyzed separately. For waves which do not require a medium, such as light or gravity in general relativity, only the relative difference in velocity between the observer and the source needs to be considered.Contentsby: johnharmer

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