Paper
1 November 1993 Modeling and analysis of propagation in optical fibers using wavelets
Lionel R. Watkins, Yu Rong Zhou
Author Affiliations +
Abstract
A new method is described which enables the propagation of arbitrary optical waveforms through monomode fiber to be studied analytically. The basis of the method is the representation of the electric field of the emitted optical waveform by a set of wavelet transform coefficients. For certain wavelet functions, a closed form solution of the wave equation can be obtained, thereby allowing an analytic description of the propagating optical waveform. Arbitrarily shaped pulses or pulse sequences, with or without frequency chirping of the source, are accommodated with ease. The coefficients of the wavelet expansion can be used to plot the time-resolved frequency spectrum of the waveform, making the method well suited to the analysis of practical laser pulses as encountered, for example, in high bit-rate optical fiber communication systems.
© (1993) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Lionel R. Watkins and Yu Rong Zhou "Modeling and analysis of propagation in optical fibers using wavelets", Proc. SPIE 2024, Multigigabit Fiber Communication Systems, (1 November 1993); https://doi.org/10.1117/12.161344
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KEYWORDS
Wavelets

Wave propagation

Wavelet transforms

Telecommunications

Fourier transforms

Dispersion

Time-frequency analysis

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