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Unformatted text preview: 70 Propagation of Signals in Optical Fiber 2.4 Chromatic Dispersion Dispersion is the name given to any effect wherein different components of the transmitted signal travel at different velocities in the fiber, arriving at different times at the receiver. We already discussed the phenomenon of intermodal dispersion in Section 2.2 and polarization-mode dispersion in Section 2.3.3. Our main goal in this section will be to understand the phenomenon of chromatic dispersion and the system limitations imposed by it. Other forms of dispersion and their effect on the design of the system are discussed in Section 5.7. Chromatic dispersion is the term given to the phenomenon by which different spectral components of a pulse travel at different velocities. To understand the effect of chromatic dispersion, we must understand the significance of the propagation constant. We will restrict our discussion to single-mode fiber since in the case of multimode fiber, the effects of intermodal dispersion usually overshadow those of chromatic dispersion. So the propagation constant in our discussions will be that associated with the fundamental mode of the fiber. Chromatic dispersion arises for two reasons. The first is that the refractive in- dex of silica, the material used to make optical fiber, is frequency dependent. Thus different frequency components travel at different speeds in silica. This component of chromatic dispersion is termed material dispersion. Although this is the principal component of chromatic dispersion for most fibers, there is a second component, called waveguide dispersion. To understand the physical origin of waveguide disper- sion, recall from Section 2.3.2 that the light energy of a mode propagates partly in the core and partly in the cladding. Also recall that the effective index of a mode lies between the refractive indices of the cladding and the core. The actual value of the effective index between these two limits depends on the proportion of power that is contained in the cladding and the core. If most of the power is contained in the core, the effective index is closer to the core refractive index; if most of it propagates in the cladding, the effective index is closer to the cladding refractive index. The power distribution of a mode between the core and cladding of the fiber is itself a function of the wavelength. More accurately, the longer the wavelength, the more power in the cladding. Thus, even in the absence of material dispersion—so that the refractive indices of the core and cladding are independent of wavelength—if the wavelength changes, this power distribution changes, causing the effective index or propagation constant of the mode to change. This is the physical explanation for waveguide dispersion....
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This note was uploaded on 01/15/2011 for the course ECE 6543 taught by Professor Boussert during the Spring '09 term at Georgia Institute of Technology.
- Spring '09