O'Reilly logo

Optical Networks, 3rd Edition by Galen Sasaki, Kumar Sivarajan, Rajiv Ramaswami

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

APPENDIX E

Pulse Propagation in Optical Fiber

In mathematical terms, chromatic dispersion arises because the propagation constant β is not proportional to the angular frequency ω, that is, dβ/dω ≠ constant (independent of ω). dβ/dω is denoted by β1, and β1 −1 is called the group velocity. As we will see, this is the velocity with which a pulse propagates through the fiber (in the absence of chromatic dispersion). Chromatic dispersion is also called group velocity dispersion.

If we were to launch a pure monochromatic wave at frequency ω into a length of optical fiber, the magnitude of the (real) electric field vector associated with the wave would be given by

(E.1)

Here the z coordinate is taken to be along the fiber axis, and J (x, y) is the ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required