Nonlinear Effects

  • Francis F. Chen


Up to this point, we have limited our attention almost exclusively to linear phenomena; that is, to phenomena describable by equations in which the dependent variable occurs to no higher than the first power. The entire treatment of waves in Chapter 4, for instance, depended on the process of linearization, in which higher-order terms were regarded as small and were neglected. This procedure enabled us to consider only one Fourier component at a time, with the secure feeling that any nonsinusoidal wave can be handled simply by adding up the appropriate distribution of Fourier components. This works as long as the wave amplitude is small enough that the linear equations are valid.


Shock Wave Nonlinear Effect Plasma Wave Stimulate Raman Scattering Pump Wave 
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Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • Francis F. Chen
    • 1
  1. 1.Electrical Engineering Department School of Engineering and Applied ScienceUniversity of California, Los AngelesLos AngelesUSA

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