Dielectric Waveguides

The complete analytic tooth root of the problem on the university extension characteristics of different modes in a circular homogenous core guiding structure was showtime given by Carson et al. in 1936 (10:1490). Then, in 1961, Snitzer re resolved the problem and applied the root to the case of light propagation along a homogenous core circular fiber (10:1490). A series of papers subsequently followed Snitzer's work. These analyzed transmittal in noncircular homogenous dielectric fibers, as well as radially inhomogenous circular dielectric fibers (10:1490).

Waveguide phenomena occur when the diam of a fiber is comparable to the wavelength of light transmitted (9:449). The result is diffraction effects with propagation only in certain allowed modes which take Maxwell's equations and the bound conditions (9:499). Of these modes, all but the cylindrically symmetric modes TE and TM are hybrid; i.e., they have both electric and magnetized z components (7:491).

The field components of an arbitrary guided mode in the waveguide are described by the following equations:

H = BJ ( ) sin v

E =  [ AJ ( ) + B J ( ) ] romaine lettuce v

E = [ A J ( ) + BJ ( ) ] sin v

H =  [ A J ( ) + BJ ( ) ] sin v

H =  [ AJ ( ) + B J ( ) ] cos v

In these equations the symbols have the following significance (1:316):

E , E , E = components of electric force,

5. Marcuse, Dietrich. Radiation losses of the dominant mode in brush up dielectric waveguides. The Bell System Technical Journal. October, 1970:16651693.

Here must(prenominal) be in the region interior to the waveguide boundary L, and all primed quantities are evaluated over the inside of that boundary, as is indicated by the subscript minus (3:1352).

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