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Classical Physics
Effect of impedance changes less than a wavelength
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[QUOTE="BOYLANATOR, post: 6001945, member: 400023"] Hi Jason, Thanks for your response. I have a few conceptual questions. This assumption isn't strictly true in the case of modelling sound through rocks but it is generally made. See the "blocky model" used to separate out different impedance layers with small scale perturbation within each layer based on this measurement from drilling into the rock: https://www.researchgate.net/figure/1D-seismic-elastic-model-based-on-sonic-and-density-logs-of-the-Ktzi202-observation-well_fig7_277343916 You can see that the separation of a large scale layering from short scale perturbation is not a clear one. What do you think of assuming a layered model here? A side question: what happens if a wave is propagated along a string with constant impedance with a very short perturbation in impedance of ,say, λ/50 before moving back to the constant impedance. Do we observe a reflected wave or a difference in the transmitted wave? UPDATE: The answer to my last question must be that, yes, reflections are generated at the interfaces as per usual. Bu the reflections off each interface will be reverse polarity and similar amplitudes and separated by only λ/50 so will virtually cancel out. But we should still see a slight loss in amplitude in the transmitted wave? [/QUOTE]
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Effect of impedance changes less than a wavelength
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