oa Multiple Reflections on Huygens' Principle

References

1. Berkhout, A. J.1985. Seismic Migration. Imaging of acoustic Energy by Wave Field Extrapolation. A. Theoretical Aspects, 3rd ed., Elsevier.
2. Berkhout, A. J., and C. P. A.Wapenaar. 1989. “One‐Way Versions of the Kirchhoff Integral.” Geophysics54, no. 4: 460–467.
   [Google Scholar]
3. Bleistein, N.1984. Mathematical Methods for Wave Phenomena, Academic Press.
4. Bojarski, N. N.1983. “Generalized Reaction Principles and Reciprocity Theorems for the Wave Equations and the Relationship Between the Time‐Advanced and Time‐Retarded Fields.” Journal of the Acoustical Society of America74: 281–285.
   [Google Scholar]
5. Brackenhoff, J., J.Thorbecke, and K.Wapenaar. 2019. “Monitoring of Induced Distributed Double‐Couple Sources Using Marchenko‐Based Virtual Receivers.” Solid Earth10: 1301–1319.
   [Google Scholar]
6. Brackenhoff, J., J.Thorbecke, G.Meles, V.Koehne, D.Barrera, and K.Wapenaar. 2022. “3D Marchenko Applications: Implementation and Examples.” Geophysical Prospecting70: 35–56.
   [Google Scholar]
7. Broggini, F., and R.Snieder. 2012. “Connection of Scattering Principles: A Visual and Mathematical Tour.” European Journal of Physics33: 593–613.
   [Google Scholar]
8. Campillo, M., and A.Paul. 2003. “Long‐Range Correlations in the Diffuse Seismic Coda.” Science299: 547–549.
   [Google Scholar]
9. Cohen, J. K., F. G. Hagin, and N.Bleistein. 1986. “Three‐Dimensional Born Inversion With An Arbitrary Reference.” Geophysics51: 1552–1558.
   [Google Scholar]
10. Corones, J. P.1975. “Bremmer Series That Correct Parabolic Approximations.” Journal of Mathematical Analysis and Applications50: 361–372.
    [Google Scholar]
11. Diekmann, L., and I.Vasconcelos. 2021. “Focusing and Green's Function Retrieval in Three‐Dimensional Inverse Scattering Revisited: A Single‐Sided Marchenko Integral for the Full Wave Field.” Physical Review Research3: 013206.
    [Google Scholar]
12. Draganov, D., X.Campman, J.Thorbecke, A.Verdel, and K.Wapenaar. 2009. “Reflection Images From Ambient Seismic Noise.” Geophysics74, no. 5: A63–A67.
    [Google Scholar]
13. Dukalski, M., C.Reinicke, and K.Wapenaar. 2022. “Implications of Evanescent Waves for the Marchenko Method Through the Lens of the Transfer‐Scattering Matrix Relation.” In EAGE Extended Abstracts, 1–4. European Association of Geoscientists & Engineers.
14. Fink, M.1992. “Time‐Reversal of Ultrasonic Fields: Basic Principles.” IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control39: 555–566.
    [Google Scholar]
15. Fishman, L., and J. J.McCoy. 1984. “Derivation and Application of Extended Parabolic Wave Theories. I. The Factorized Helmholtz Equation.” Journal of Mathematical Physics25, no. 2: 285–296.
    [Google Scholar]
16. Frazer, L. N., and M. K.Sen. 1985. “Kirchhoff‐Helmholtz Reflection Seismograms in a Laterally Inhomogeneous Multi‐Layered Elastic Medium, I, Theory.” Geophysical Journal of the Royal Astronomical Society80: 121–147.
    [Google Scholar]
17. Gazdag, J.1978. “Wave Equation Migration with the Phase‐Shift Method.” Geophysics43: 1342–1351.
    [Google Scholar]
18. Jia, X., A.Guitton, and R.Snieder. 2018. “A Practical Implementation of Subsalt Marchenko Imaging With A Gulf of Mexico Data Set.” Geophysics83, no. 5: S409–S419.
    [Google Scholar]
19. Kennett, B. L. N.1983. Seismic Wave Propagation in Stratified Media. Cambridge University Press.
20. McMechan, G. A.1983. “Migration by Extrapolation of Time‐Dependent Boundary Values.” Geophysical Prospecting31: 413–420.
    [Google Scholar]
21. Meles, G. A., K.Löer, M.Ravasi, A.Curtis, and C. A.da Costa Filho. 2015. “Internal Multiple Prediction and Removal Using Marchenko Autofocusing and Seismic Interferometry.” Geophysics80, no. 1: A7–A11.
    [Google Scholar]
22. Morse, P. M., and H.Feshbach. 1953. Methods of Theoretical Physics, Vol. I, McGraw‐Hill.
23. Moser, T. J., and E. A.Robinson. 2024. Walking With Christiaan Huygens. From Archimedes' Influence to Unsung Contributions in Modern Science Springer.
24. Oristaglio, M. L.1989. “An Inverse Scattering Formula That Uses All The Data.” Inverse Problems5: 1097–1105.
    [Google Scholar]
25. Porter, R. P.1970. “Diffraction‐Limited, Scalar Image Formation With Holograms of Arbitrary Shape.” Journal of the Optical Society of America60: 1051–1059.
    [Google Scholar]
26. Ravasi, M., I.Vasconcelos, A.Kritski, A.Curtis, C. A.da Costa Filho, and G. A.Meles. 2016. “Target‐Oriented Marchenko Imaging of a North Sea Field.” Geophysical Journal International205: 99–104.
    [Google Scholar]
27. Rayleigh, J. W. S.1878. The Theory of Sound. Volume II. Dover. (Reprint 1945).
28. Roux, P., W. A.Kuperman, and the NPAL Group . 2004. “Extracting Coherent Wave Fronts from Acoustic Ambient Noise in the Ocean.” Journal of the Acoustical Society of America116: 1995–2003.
    [Google Scholar]
29. Sabra, K. G., S.Conti, P.Roux, and W. A.Kuperman. 2007. “Passive In Vivo Elastography From Skeletal Muscle Noise.” Applied Physics Letters90: 194101.
    [Google Scholar]
30. Schneider, W. A.1978. “Integral Formulation for Migration in Two and Three Dimensions.” Geophysics43: 49–76.
    [Google Scholar]
31. Schuster, G. T., J.Yu, J.Sheng, and J.Rickett. 2004. “Interferometric/Daylight Seismic Imaging.” Geophysical Journal International157: 838–852.
    [Google Scholar]
32. Slob, E., K.Wapenaar, F.Broggini, and R.Snieder. 2014. “Seismic Reflector Imaging Using Internal Multiples With Marchenko‐Type Equations.” Geophysics79, no. 2: S63–S76.
    [Google Scholar]
33. Snieder, R.2004. “Extracting the Green's Function From the Correlation of Coda Waves: A Derivation Based on Stationary Phase.” Physical Review E69: 046610.
    [Google Scholar]
34. Staring, M., and K.Wapenaar. 2020. “Three‐Dimensional Marchenko Internal Multiple Attenuation on Narrow Azimuth Streamer Data of the Santos Basin, Brazil.” Geophysical Prospecting68: 1864–1877.
    [Google Scholar]
35. Tygel, M., J.Schleicher, L. T.Santos, and P.Hubral. 2000. “An Asymptotic Inverse to the Kirchhoff‐Helmholtz Integral.” Inverse Problems16: 425–445.
    [Google Scholar]
36. Ursin, B. 1983. “Review of Elastic and Electromagnetic Wave Propagation in Horizontally Layered Media.” Geophysics48: 1063–1081.
    [Google Scholar]
37. van der Neut, J., I.Vasconcelos, and K.Wapenaar. 2015. “On Green's Function Retrieval by Iterative Substitution of the Coupled Marchenko Equations.” Geophysical Journal International203: 792–813.
    [Google Scholar]
38. van der Neut, J., J. L.Johnson, K.van Wijk, S.Singh, E.Slob, and K.Wapenaar. 2017. “A Marchenko Equation for Acoustic Inverse Source Problems.” Journal of the Acoustical Society of America141, no. 6: 4332–4346.
    [Google Scholar]
39. Wapenaar, C. P. A., G. L.Peels, V.Budejicky, and A. J.Berkhout. 1989. “Inverse Extrapolation of Primary Seismic Waves.” Geophysics54, no. 7: 853–863.
    [Google Scholar]
40. Wapenaar, K., and J.Fokkema. 2006. “Green's Function Representations for Seismic Interferometry.” Geophysics71, no. 4: SI33–SI46.
    [Google Scholar]
41. Wapenaar, K., J.Thorbecke, J.van der Neut, F.Broggini, E.Slob, and R.Snieder. 2014. “Marchenko Imaging.” Geophysics79, no 3: WA39–WA57.
    [Google Scholar]
42. Wapenaar, K., J.van der Neut, and E.Slob. 2016. “Unified Double‐ and Single‐Sided Homogeneous Green's Function Representations.” Proceedings of the Royal Society A472: 20160162.
    [Google Scholar]
43. Wapenaar, K., R.Snieder, S.de Ridder, and E.Slob. 2021. “Green's Function Representations for Marchenko Imaging Without Up/Down Decomposition.” Geophysical Journal International227: 184–203.
    [Google Scholar]
44. Wapenaar, K., M.Dukalski, C.Reinicke, and R.Snieder. 2023. “Propagator and Transfer Matrices, Marchenko Focusing Functions and their Mutual Relations.” Geophysical Journal International235: 1403–1419.
    [Google Scholar]
45. Weaver, R. L., and O. I.Lobkis. 2001. “Ultrasonics Without a Source: Thermal Fluctuation Correlations at MHz Frequencies.” Physical Review Letters87: 134301.
    [Google Scholar]
46. Whitmore, N. D.1983. “Iterative depth migration by backward time propagation.” In SEG Expanded Abstracts, 382–385. Society of Exploration Geophysicists.