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Geophysical Journal International, ISSN 0956-540X, 01/2005, Volume 160, Issue 1, pp. 195 - 216
SUMMARY We draw connections between seismic tomography, adjoint methods popular in climate and ocean dynamics, time‐reversal imaging and finite‐frequency... 
GEOCHEMISTRY & GEOPHYSICS | MODELS | SPECTRAL-ELEMENT METHOD | FREQUENCY TRAVEL-TIMES | FRECHET KERNELS | SIMULATIONS | WAVE-FORM INVERSION | ASSIMILATION | SEISMOLOGY | PROPAGATION | MANTLE
Journal Article
Geophysical Journal International, ISSN 0956-540X, 07/2004, Volume 158, Issue 1, pp. 142 - 168
Journal Article
Geophysical Journal International, ISSN 0956-540X, 4/2000, Volume 141, Issue 1, pp. 157 - 174
Summary We use body wave ray theory in conjunction with the Born approximation tocompute 3-D Fréchet kernels for finite-frequency seismic traveltimes, measured... 
ray theory | body waves | Fréchet derivatives | traveltime | tomography | global seismology | Global seismology | Tomography, traveltime | Body waves | Ray theory | GEOCHEMISTRY & GEOPHYSICS | VELOCITY | LATERAL HETEROGENEITY | TIMES | Frechet derivatives | INVERSION | MANTLE
Journal Article
Bulletin of the Seismological Society of America, ISSN 0037-1106, 12/2006, Volume 96, Issue 6, pp. 2383 - 2397
We derive the adjoint equations associated with the calculation of Frechet derivatives for tomographic inversions based upon a Lagrange multiplier method. The... 
GEOCHEMISTRY & GEOPHYSICS | 3-DIMENSIONAL SENSITIVITY KERNELS | SPECTRAL-ELEMENT SIMULATIONS | PERFECTLY MATCHED LAYER | TRAVEL-TIMES | LOS-ANGELES BASIN | FRECHET KERNELS | SOUTHERN CALIFORNIA | ELASTODYNAMICS | SEISMIC-WAVE PROPAGATION | ABSORBING BOUNDARY-CONDITIONS
Journal Article
Bulletin of the Seismological Society of America, ISSN 0037-1106, 10/2017, Volume 107, Issue 5, pp. 2213 - 2224
We use the adjoint method to derive sensitivity kernels for the cross-convolution measure, a goodness-of-fit criterion that is applicable to seismic data... 
SPECTRAL-ELEMENT | GEOCHEMISTRY & GEOPHYSICS | GROSS EARTH DATA | SOUTHERN CALIFORNIA CRUST | SURFACE-WAVES | FREQUENCY TRAVEL-TIMES | FRECHET KERNELS | BANANA-DOUGHNUT KERNELS | ADJOINT METHODS | WAVE-FORM INVERSION | SEISMIC TOMOGRAPHY
Journal Article
Geophysical Journal International, ISSN 0956-540X, 03/2007, Volume 168, Issue 3, pp. 1051 - 1066
Journal Article
Geophysical Journal International, ISSN 0956-540X, 07/2008, Volume 174, Issue 1, pp. 265 - 286
Journal Article
Geophysical Research Letters, ISSN 0094-8276, 06/2012, Volume 39, Issue 12, p. n/a
We compare finite‐frequency sensitivity kernels computed from ray‐theoretical wavefields (“banana‐doughnut” kernels) and from full waveform computations (often... 
body waves | seismic tomography | sensitivity kernels | SPECTRAL-ELEMENT | GEOSCIENCES, MULTIDISCIPLINARY | FORM INVERSION | TRAVEL-TIMES | PART | FRECHET KERNELS | FREQUENCY TOMOGRAPHY | SCATTERING | REGION | Seismology | Kernels | Computation | Seismic engineering | Adjoints | Tomography | Mathematical models | Seismic phenomena | Delay
Journal Article
Geophysical Journal International, ISSN 0956-540X, 04/2000, Volume 141, Issue 1, pp. 175 - 203
Summary 3‐D Born–Fréchet traveltime kernel theory is recast in the context of scalar‐wave propagation in a smooth acoustic medium, for simplicity. The... 
ray theory | body waves | Fréchet derivatives | traveltime | tomography | global seismology | Global seismology | Tomography, traveltime | Body waves | Ray theory | DISCONTINUITY | EARTH | LATERAL HETEROGENEITY | PACIFIC | MULTIPLE SCS | TIME MEASUREMENTS | TOPOGRAPHY | INVERSION | RANDOM-MEDIA | GEOCHEMISTRY & GEOPHYSICS | Frechet derivatives
Journal Article
Geophysical Journal International, ISSN 0956-540X, 08/2013, Volume 194, Issue 2, pp. 1042 - 1049
We present a method for the computation of finite-frequency sensitivity kernels for two-station surface wave measurements. It is based on the combination of... 
Surface waves and free oscillations | Theoretical seismology | Wave propagation | Wave scattering and Diffraction | Seismic tomography | Wave scattering and diffraction | FORM INVERSION | DISPERSION | FRECHET KERNELS | FLEXIBLE APPROACH | ANISOTROPY | GEOCHEMISTRY & GEOPHYSICS | PHASE VELOCITIES | ATTENUATION | ADJOINT METHODS | EFFICIENT
Journal Article
Geophysical Journal International, ISSN 0956-540X, 08/2002, Volume 150, Issue 2, pp. 440 - 466
Summary We derive a 3D Fréchet sensitivity kernel relating the rms amplitude of a far‐field, broad‐band body‐wave pulse to laterally heterogeneous seismic... 
ray theory | body waves | Fréchet derivatives | tomography | global seismology | perturbation methods | Tomography | Global seismology | Body waves | Perturbation methods | Ray theory | ANOMALIES | HETEROGENEOUS MEDIA | MODEL | INVERSION | MANTLE | RAY PERTURBATION-THEORY | GEOCHEMISTRY & GEOPHYSICS | Frechet derivatives | FREQUENCY TRAVEL-TIMES
Journal Article
Geophysical Journal International, ISSN 0956-540X, 11/2010, Volume 183, Issue 2, pp. 869 - 883
SUMMARY In seismic waveform analysis and inversion, data functionals can be used to quantify the misfit between observed and model‐predicted (synthetic)... 
Time series analysis | Inverse theory | Seismic tomography | Computational seismology | UPPER-MANTLE STRUCTURE | AMBIENT SEISMIC NOISE | GREENS-FUNCTION | FRECHET KERNELS | GEOCHEMISTRY & GEOPHYSICS | SURFACE-WAVE TOMOGRAPHY | EARTH STRUCTURE | FREQUENCY TRAVEL-TIMES | SOUTHERN CALIFORNIA | ADJOINT METHODS | PHASE-VELOCITY MAPS | Seismology | Analysis
Journal Article
Geophysical Journal International, ISSN 0956-540X, 08/2015, Volume 203, Issue 1, pp. 482 - 505
Electromagnetic imaging methods are useful tools for monitoring subsurface changes in pore-fluid content and the associated changes in electrical permittivity... 
Tomography | Electromagnetic theorycover-date | Inverse theory | Fréchet Kernels | radar | inversion | scattering | tomography | electromagnetics | Sensitivity kernels | GEOSCIENCES
Journal Article
Geophysical Journal International, ISSN 0956-540X, 11/2007, Volume 171, Issue 2, pp. 847 - 856
Summary Head waves are extremely important in determining the structure of the predominantly layered Earth. While several recent studies have shown the... 
Fréchet kernels | head waves | finite‐frequency tomography | waveform simulation | Waveform simulation | Head waves | Finite-frequency tomography | TOMOGRAPHY | DISTANCES | VELOCITIES BENEATH | MANTLE | P-N | GEOCHEMISTRY & GEOPHYSICS | TRAVEL-TIMES | ADJOINT METHODS | Frechet kernels | finite-frequency tomography | PROPAGATION | SCATTERING
Journal Article
Geophysical Journal International, ISSN 0956-540X, 8/2005, Volume 162, Issue 2, pp. 525 - 540
Journal Article