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Fiber Optic Communications: Fundamentals and Applications by Shiva Kumar, M. Deen

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Appendix B

From Maxwell's equations, we have

From Eq. (10.24), we have

B.2 equation

Let us consider the case of a single polarization:

B.3 equation

From Eq. (10.42), we have

B.4 equation

where

Here, we have ignored the subscripts 'xx' and 'xxxx'. For a dispersive medium, the first-order susceptibility b02-math-0007 is a function of frequency (see Eq. (10.22)). Since the product in the frequency domain becomes a convolution in the time domain, for a dispersive medium, Eq. (B.5) should be modified as

or

B.8 equation

where denotes convolution. An optical pulse propagating down the fiber has rapidly varying oscillations ...

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