Open AccessComment on ‘On sensitivity kernels for ‘wave‐equation’ transmission tomography’ by de Hoop and van der Hilst
Author(s) -
Dahlen F. A.,
Nolet Guust
Publication year - 2005
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.2005.02801.x
Subject(s) - perturbation (astronomy) , seismic tomography , sensitivity (control systems) , pulse (music) , tomography , mathematical analysis , physics , synthetic data , seismology , perturbation theory (quantum mechanics) , geology , mathematics , optics , algorithm , quantum mechanics , engineering , electronic engineering , detector
SUMMARY The finite‐frequency sensitivity kernels developed by Dahlen et al. are an appropriate tool for inverting traveltimes of non‐triplicated P , S , PP and SS waves, measured by cross‐correlation with a synthetic pulse. The critique of this theoretical methodology in a recent paper by de Hoop & van der Hilst is based upon the incorrect notion that one can account for errors in the synthetic pulse and/or origin time of an earthquake by a modification of the Fréchet kernels expressing the first‐order dependence upon the perturbation in the wavespeed.