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FIBEROPTIC SENSOR TECHNOLOGY HANDBOOK

FIBEROPTIC SENSOR TECHNOLOGY HANDBOOK

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M<br />

Mach-Zehnder interferometer. An interferometer in which<br />

an electromagnetic wave is split, each half traveling<br />

around half a loop in opposite directions, one<br />

via a beam splitter and a fixed mirror, the other<br />

via a movable mirror and a beam splitter, both halves<br />

being recombined at a photodetector where their relative<br />

phase can reinforce or cancel. The moveable<br />

mirror modulates the resultant intensity at the<br />

photodetector.<br />

magnetooptic. Pertaining to the control of lightwaves<br />

by means of magnetic fields, for example by rotating<br />

the magnetic polarization of a lightwave and thus<br />

achieving polarization modulation or by cementing<br />

or coating ferromagnetic material on the outside of<br />

a fiber and using the magnetostrictive effect to<br />

alter the length of a fiber in the sensing arm of<br />

an interferometer thus obtaining a method of converting<br />

magnetic field variations to light intensity<br />

variations. Synonymous with optomagnetic<br />

magnetooptic effect. The rotation of the polarization<br />

plane of lightwaves in a transmission medium brought<br />

about when subjecting the medium to a magnetic field<br />

(Faraday rotation). The effect can be used to modulate<br />

the light beam in a material, since many properties,<br />

such as conducting velocities, reflection<br />

and transmission coefficients at interfaces, acceptance<br />

angles, critical anglea, and transmission<br />

modes, are dependent upon the direction of propagation<br />

at interfaces in the media in which the light<br />

travels. The amount of rotation is given by:<br />

A = aHL<br />

where a is a constant, H is the magnetic field<br />

strength, and L is the propagation distance. The<br />

magnetic field is in the direction of propagation of<br />

the lightwave. Also, by coating or cementing ferroelectric<br />

material to a fiber, the magnetostrictive<br />

effect can be used to alter the length of a fiber in<br />

the sensing arm of an interferometer, thua obtaining<br />

a method of converting magnetic field variations to<br />

light intensity variationa. Synonymous with Faraday<br />

effect.<br />

magnetooptic modulator. A modulator that makes use of<br />

the magnetooptic effect to modulate a lightwave carrier.<br />

magnetostriction. The phenomenon exhibited by some<br />

materials in which dimensional changes occur when<br />

the material is subjected to a magnetic field, usually<br />

becoming longer in the direction of the applied<br />

field. The effect can be used to launch a shock or<br />

sound wave each time the field is applied or changed,<br />

possibly giving rise to phonons that could influence<br />

energy levels in the atoms of certain materials such<br />

as semiconductors and lasers and thereby serve as a<br />

modulation method. Along with photon or electric<br />

field excitation, the phonon energy could provide<br />

threshold energy to cause electron energy level<br />

transitions, causing photon absorption or emission.<br />

The effect can also be used to change the physical<br />

dimensions of an optical fiber that is wrapped<br />

around or cemented to or jacketed by, a magnetostrictive<br />

(ferromagnetic) material and thus modulate a<br />

light beam in the fiber.<br />

margin. See power margin.<br />

material dispersion. 1. The variation in the refractive<br />

index of a transmission medium as a function of<br />

wavelength, in optical transmission media used in<br />

optical waveguides; e.g., optical fibers, slab dielectric<br />

waveguides, and integrated optical circuits.<br />

Material dispersion contributes to group-<br />

-delay distortion, along with waveguide-delay distortion<br />

and multimode group-delay spread, i.e., the<br />

spreading of a pulse. 2. The part of the total<br />

dispersion of an electromagnetic pulse in a waveguide<br />

caused by the changes in properties of the<br />

material with which the waveguide, such as an optical<br />

fiber is made, due to changes in frequency. As<br />

wavelength increasea, and frequency decreases, material<br />

dispersion decreases. At high frequencies, the<br />

rapid interactions of the electromagnetic field with<br />

the waveguide material (optical fiber) renders the<br />

refractive index even more dependent upon frequency.<br />

Maxwell’s equations. A group of basic equations, in<br />

either integral or differential form, that (1) describe<br />

the relationships between the properties of<br />

electric and magnetic fields, their sources, and the<br />

behavior of these fielda at material media interfaces;<br />

(2) express the relations among electric and<br />

magnetic fields that vary in space and time in material<br />

media and free space; and (3) are fundamental to<br />

the propagation of electromagnetic waves in material<br />

media and free space. The equations are the basis<br />

for deriving the wave equation that expresses the<br />

electric and magnetic field vectors in a propagating<br />

electromagnetic wave in a transmission medium such<br />

as a lightwave in an optical fiber. Maxwell’s<br />

equations in differential form are:<br />

vx E = -aBlat<br />

v. H = J + aD/3t<br />

V. B=O<br />

V“ D=o<br />

where E, H, B, and D are the electric field intensity,<br />

the magnetic field intensity, the magnetic<br />

flux density, and the electric flux density (electric<br />

displacement) vectors, respectively, J is the<br />

electric current density, and pis the electric<br />

charge density, the v is the “del- space derivative<br />

operator, expressing differentiation with respect<br />

to all distance coordinates, the VX being the curl<br />

and the v - being the divergence. The partial derivatives<br />

are with respect to time. These equations<br />

are Used in conjunction with the constitutive relations<br />

to obtain useful practical results given actual<br />

sources of charge and current in real media.<br />

These are only valid when the field and current<br />

vectors are single-valued, bounded, continuous functions<br />

of poaition and time, and have continuous<br />

derivatives.<br />

medium. See homogeneous medium; linear medium; sourcefree<br />

medium; transmission medium.<br />

meridional ray. In an optical fiber, a light ray that<br />

passes through the central axis of the fiber, is<br />

internally reflected, and is confined to a single<br />

plane, called the meridian plane. Also see skew ray.<br />

metal oxide semiconductor. A semiconductor composed of<br />

doped metal oxide, such as silicon oxide (Si02). See<br />

combined metal oxide semiconductor.<br />

A-12

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