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Published February 20, 2020 | Submitted
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Geometrical Optics applied to 1D Site Response of Inhomogeneous Soil Deposits


The technique referred as Geometrical Optics entails considering the wave propagation in a heterogeneous medium as if it happened with infinitely small wavelength. This classic simplification allows to obtain useful approximate analytical results in cases where complete description of the waveform behavior is virtually unattainable, hence its wide use in Physics. This approximation is also commonly termed Ray Theory, and it has already been thoroughly applied in Seismology. This text presents an application of Geometrical Optics to 1D Site Response (1DSR): it is used herein to, first, explain and elucidate the generality of some previous observations and results; second, to partially settle an open question in 1DSR, namely "what are the equivalent homogeneous properties that yield the same response, in terms of natural frequencies and resonance amplitude, for a certain inhomogeneous site?", provided few assumptions.

Additional Information

License: CC-By Attribution 4.0 International. Original publication date: 2020-02-16. Submitted on: February 17, 2020; Last Edited: February 18, 2020. Last edited: July 07, 2020. The authors are thankful to Prof. Michael Ortiz for his input regarding connections to Geometrical Optics Theory at large. The format used in this preprint has been dispensed by Mr. George Kour through Overleaf under Creative Commons CC BY 4.0.

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