Abstract
A general method of developing the nonlinear wavefield for an arbitrary inhomogeneous medium incorporating energy loss mechanisms is presented. The equations of motion for an inhomogeneous medium with physical constants that are arbitrary functions of position, are modified by the incorporation of a generalized loss function, L. This acts as a sink function by introducing a dissipative force field in the force balance equations that accounts for losses in the medium. A general power series solution is developed and the nonlinear wavefield solution is presented that incorporates the effects of losses and higher order interactions in its functional form. The effect of loss on the dispersion relationship is seen as a frequency shift of the wave and loss effects introduce harmonics which lead to waveform distortion. The classical theory of attenuation is extended by this treatment. [Work supported by Navy Long-term Training Committee.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
