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The behavior of ultra-short electromagnetic pulses as they travel in dispersive media is impossible to analyze and model by the usual Fourier methods, which break down in such situations. Shvartsburg, one of the world's top experts, assembles here for the first time alternative mathematical methods and tools to accomplish these tasks, making this an important resource for researchers and practitioners in applied mathematics, laser physics, fiber optics, and telecommunications, among other fields.
This book investigates the mathematical limitations of traditional Fourier analysis when applied to the propagation of ultrashort electromagnetic pulses in dispersive media. Author A. B. Shvartsburg, a recognized authority in the field, provides a comprehensive framework for modeling these waveforms. By introducing alternative analytical tools, the text addresses the specific challenges posed by non-stationary optical signals that standard frequency-domain methods fail to capture accurately.
What You Will Find
Experts identify this work as a specialized resource for researchers and practitioners requiring advanced mathematical tools for non-stationary wave analysis. Readers frequently note the technical density of the prose, which assumes a strong background in electromagnetic theory and applied mathematics.
Page Count:
208
Publication Date:
1996-07-25
Publisher:
Clarendon Press
ISBN-10:
0198565097
ISBN-13:
9780198565093
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