Dielectric Waveguides Dielectric Waveguides: Single LowestOrder Mo

A dielectric fiber consists of a glass fiber of high refractive index surrounded by air or a glass of lower refractive index. Such fibers are known to propagate electromagnetic energy along their length as a result of internal reflection. When the diameter of such a fiber approximates the wavelength of the light transmitted, the fiber will act as a waveguide. In dielectric waveguides, all but modes TE and TM are hybrid. These modes can be characterized mathematically. The solutions calculate radiation patterns for light leaving the fiber. With extremely small fibers and certain modes of operation, attenuation effects may preclude light transmission.

There is great interest in optical waveguides for use in data transmission, in optical devices, or in connection with understanding the mechanism of the animal or human eye (3:1351). Indeed, it is virtually certain that single strand optical fiber cables will one day replace copperbased coaxial cables or twisted wire pairs as highdata rate communication lines.

The basic configuration of an optical fiber consists of a circular cylindrical core with a cladded material of refractive index n (n n ) (10:1490). The confinement of electromagnetic energy occurs as a result of total internal reflection (7:491).

Waveguides were first dealt with by Lord Rayleigh (7:491). Later the dielectric waveguide was investigated theoretically by Hondros and Deby

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r mutual dependence is given by the boundary conditions for the field components (5:1678). The fields outside the dielectric rod r a are given by the equations E = CH ( ) cos v H = DH ( ) sin v E = [ CH ( ) + D H ( ) ] cos v E =  [ C H ( ) + DH ( ) ] sin v H = [ C H ( ) + DH ( ) ] sin v H = [ CH ( ) + D H ( ) ] cos v where H is the Hankel function of order v and of the first kind (5:1678). The prime indicates again its derivative with respect to its argument (5:1678). The argument is imaginary in order to ensure that the field distribution decays exponentially at large distance from the rod (5:16781679). The time and zdependent factor has again been suppressed (5:1679). The parameter is related to the propagation constant by the equation =  k (5:1679). These field components are quite general and apply to any arbitrary guided mode (5:1679). The lowest order or dominant mode of the guide follows from these equations with v = 1 (5:1679). The following discussion will be limited to the special case v = 1a v value which is less than the first zero of the Bessel function J (5:1679). In this case, the connection between the amplitude coeffic
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Some common words found in the essay are:
TE TM, E H, Hondros Debye, Modes Operation, Society America, = , Jablonski Attenuation, Dietrich Radiation, +, Osterberg Observed, Lord Rayleigh, sin =, Snitzer Optical, cos, propagation constant, sin, sin =, dielectric waveguides, dielectric waveguide, field components, round dielectric, + cos, optical society america, + , cos =,
Approximate Word count = 1616
Approximate Pages = 6 (250 words per page)