Dispersion in Rayleigh waves is discussed for semi-infinite media withμ =μ1(1 ±ε cos s z) andμ =μ1(1 ±ε cosh s z), μ being the rigidity of the medium. A few workers tried with the above Fourier type of model but failed to find the dispersive nature. Because they neglected εs due to the complexity of the calculation they arrived at a non dispersive frequency equation. This difficulty is removed in this paper and a dispersive frequency equation is obtained which shows both direct and inverse dispersion. The second model leads to non-convergent solution forz→∞ but shows many interesting results which are also discussed.
KeywordsFourier Rayleigh Wave Inhomogeneous Medium Dispersive Frequency Frequency Equation
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