Quarter Wave Layer Higher Mode Harmonics Calculator

Quarter-wavelength harmonics f_n = (2n−1)·Vs/(4H) for a layer over stiff half-space.

Description

Quarter-wavelength harmonics f_n = (2n−1)·Vs/(4H) for a layer over stiff half-space.

Quarter Wave Layer Higher Mode Harmonics Calculator is a focused tool for the following task. Quarter-wavelength harmonics f_n = (2n−1)·Vs/(4H) for a layer over stiff half-space. It reports f_n from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.

When to use Quarter Wave Layer Higher Mode Harmonics

Use this seismology calculation to reproduce a stated convention, screen observations, or compare scenarios whose units, coordinate conventions, catalog selection, and model assumptions are known.

H (m)
Required number in m. Layer thickness.
Vs (m/s)
Required number in m/s. Layer shear velocity.
N
Optional integer. Number of modes.

The cited overview of Seismic wave supplies background for the terminology and domain context used by this tool.1

How Quarter Wave Layer Higher Mode Harmonics works

Quarter-wavelength harmonics f_n = (2n−1)·Vs/(4H) for a layer over stiff half-space. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

f_n (Hz)
Returned list in Hz. Odd-quarter-wave harmonic frequencies.

Limitations and assumptions

  • Earth structure, source geometry, path effects, site response, instrument response, catalog completeness, uncertainty, and the fitted range can dominate the accuracy of simplified seismic calculations.
  • H must be at least 0.
  • Vs must be at least 0.
  • N must be at least 1.
  • N must be no greater than 10.
  • Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.

Alternative or Complementary approaches

For analysis or hazard decisions, retain uncertainty and provenance and compare the result with waveform processing, calibrated regional models, and guidance from qualified seismologists or the responsible agency.

References

  1. Seismic wave — Wikipedia contributors

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