Optimization of the shape of Gaussian beams

Studia Geophysica et Geodaetica

Volumn 50, Issue 3, 2006, Pages 349-366

  Zacek K ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

Author keywords

Gaussian beam; Hamiltonian hypersurface; Optimization; Smoothing; Sobolev norm

Indexed keywords

ALGORITHM; GAUSSIAN METHOD; OPTIMIZATION; SMOOTHING; VELOCITY STRUCTURE;

EID: 33746531717     PISSN: 00393169     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11200-006-0022-z     Document Type: Article

References (14)

1. Babich V.M. and Popov M.M., 1989. Gaussian summation method (review). Radiophysics and Quantum Electronics, 32, 1063-1081.
2. Červený V., Popov M.M. and Pšenčík I., 1982, Computation of wave fields in inhomogeneous media - Gaussian beam approach. Geophys. J. R. Astr. Soc., 70, 109-128.
3. Červený V. and Pšenčík I., 1983. Gaussian beams and paraxial ray approximation in threedimensional elastic inhomogeneous media. J. Geophys., 53, 1-15.
4. Červený V., 2001. Seismic Ray Theory. Cambridge Univ. Press, Cambridge, U.K.
5. Klimeš L., 1984. Expansion of a high-frequency time-harmonic wavefield given on an initial surface into Gaussian beams. Geophys. J. R. Astr. Soc., 79, 105-118.
6. Klimeš L., 1986. Discretization error for the superposition of Gaussian beams. Geophys. J. R. Astr. Soc., 86, 531-551.
7. Klimeš L., 1989. Optimization of the shape of Gaussian beams of a fixed length. Stud. Geophys. Geod., 33, 146-163.
8. Popov M.M., 1982. A new method of computation of wavefields using Gaussian beams. Wave Motion, 4, 85-97.
9. Popov M.M. and Pšenčík I., 1978. Computation of ray amplitudes in inhomogeneous media with curved interfaces. Stud. Geophys. Geod., 22, 248-258.
10. Tarantola A., 1987. Inverse Problem Theory. Elsevier, Amsterdam, The Netherlands.
11. Versteeg R.J. and Grau G. (Eds.), 1991. The Marmousi experience. Proc. EAGE workshop on Practical Aspects of Seismic Data Inversion (Copenhagen, 1990), Eur. Assoc. Expl. Geophysicists, Zeist.
12. Žáček K., 2002. Smoothing the Marmousi model. Pure Appl. Geophys., 159, 1507-1526.
13. Žáček K., 2003. Decomposition of the wave field into optimized Gaussian packets. Soc. Expl. Geophys. Expanded Abstracts, 22, 1869-1872.
14. Žáček K., 2006. Decomposition of the wavefield into optimized Gaussian packets. Stud. Geophys. Geod., 50, 367-380.