메뉴 건너뛰기




Volumn 137, Issue 2, 1999, Pages 353-363

A path integral formulation of acoustic wave propagation

Author keywords

Green's functions; Inhomogeneous media; Synthetic seismograms; Wave equation; Wave propagation

Indexed keywords

ACOUSTIC WAVE; SEISMIC WAVE; SYNTHETIC SEISMOGRAM; WAVE PROPAGATION;

EID: 0032986791     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246X.1999.00793.x     Document Type: Article
Times cited : (37)

References (20)
  • 2
    • 0002743147 scopus 로고
    • Finite-difference methods for seismic wave propagation in heterogeneous materials
    • ed. Bolt, B.A., Academic Press, New York
    • Boore, D.M., 1972. Finite-difference methods for seismic wave propagation in heterogeneous materials, in Methods in Computational Physics, Vol. 11, pp. 1-37, ed. Bolt, B.A., Academic Press, New York.
    • (1972) Methods in Computational Physics , vol.11 , pp. 1-37
    • Boore, D.M.1
  • 4
    • 0001697675 scopus 로고
    • Feynman path-integral representation for scalar wave propagation
    • Botelho, L.C.L. & Vilhena, R., 1994. Feynman path-integral representation for scalar wave propagation, Phys. Rev. E, 49, R1003-R1004.
    • (1994) Phys. Rev. E , vol.49
    • Botelho, L.C.L.1    Vilhena, R.2
  • 5
    • 36749105098 scopus 로고
    • Path integrals for waves in random media
    • Dashen, R., 1979. Path integrals for waves in random media, J. Math. Phys., 20, 894-920.
    • (1979) J. Math. Phys. , vol.20 , pp. 894-920
    • Dashen, R.1
  • 6
    • 34547361024 scopus 로고
    • Space-time approach to non-relativistic quantum mechanics
    • Feynman, R.P., 1948. Space-time approach to non-relativistic quantum mechanics, Rev. Mod. Phys., 20, 367-387.
    • (1948) Rev. Mod. Phys. , vol.20 , pp. 367-387
    • Feynman, R.P.1
  • 7
    • 36149012980 scopus 로고
    • Mathematical formulation of the quantum theory of electromagnetic interaction
    • Feynman, R.P., 1950. Mathematical formulation of the quantum theory of electromagnetic interaction, Phys. Rev., 80, 440-457.
    • (1950) Phys. Rev. , vol.80 , pp. 440-457
    • Feynman, R.P.1
  • 8
    • 36149017199 scopus 로고
    • An operator calculus having applications in quantum electrodynamics
    • Feynman, R.P., 1951. An operator calculus having applications in quantum electrodynamics, Phys. Rev., 84, 108-128.
    • (1951) Phys. Rev. , vol.84 , pp. 108-128
    • Feynman, R.P.1
  • 10
    • 36549094654 scopus 로고
    • Derivation and application of extended parabolic wave theories. II. Path integral representations
    • Fishman, L. & McCoy, J.J., 1984. Derivation and application of extended parabolic wave theories. II. Path integral representations, J. Math. Phys., 25, 297-308.
    • (1984) J. Math. Phys. , vol.25 , pp. 297-308
    • Fishman, L.1    McCoy, J.J.2
  • 11
    • 0000897078 scopus 로고
    • Die Eigenzeit in der klassischen und in der quanten-mechanik
    • Fock, V.A., 1937. Die Eigenzeit in der klassischen und in der quanten-mechanik, Physik. Zeits. Sowjetunion, 12, 404-425.
    • (1937) Physik. Zeits. Sowjetunion , vol.12 , pp. 404-425
    • Fock, V.A.1
  • 12
    • 0030439369 scopus 로고    scopus 로고
    • Simulating seismic wave propagation in 3D elastic media using staggered-grid finite differences
    • Graves, R.W., 1996. Simulating seismic wave propagation in 3D elastic media using staggered-grid finite differences, Bull. seism. Soc. Am., 86, 1091-1106.
    • (1996) Bull. Seism. Soc. Am. , vol.86 , pp. 1091-1106
    • Graves, R.W.1
  • 13
    • 0001739440 scopus 로고
    • On stochastic differential equations
    • Ito, K., 1951. On stochastic differential equations, Mem. Am. Math. Soc., No. 4.
    • (1951) Mem. Am. Math. Soc. , vol.4
    • Ito, K.1
  • 14
    • 0000163256 scopus 로고
    • Monte Carlo integration of the Feynman propagator in imaginary time
    • Lawande, S.V., Jensen, C.A. & Sahlin, H.L., 1969. Monte Carlo integration of the Feynman propagator in imaginary time, J. comp. Phys., 3, 416-443.
    • (1969) J. Comp. Phys. , vol.3 , pp. 416-443
    • Lawande, S.V.1    Jensen, C.A.2    Sahlin, H.L.3
  • 15
    • 0032717424 scopus 로고    scopus 로고
    • Path-summation waveforms
    • submitted
    • Lomax, A., 1999. Path-summation waveforms, Geophys. J. Int., submitted.
    • (1999) Geophys. J. Int.
    • Lomax, A.1
  • 16
    • 0002346392 scopus 로고
    • The use of the proper time in quantum electro-dynamics I
    • Nambu, Y., 1950. The use of the proper time in quantum electro-dynamics I, Prog. Theor. Phys., 5, 82-94.
    • (1950) Prog. Theor. Phys. , vol.5 , pp. 82-94
    • Nambu, Y.1
  • 17
    • 0001090703 scopus 로고    scopus 로고
    • Path-integral analysis of scalar wave propagation in multiple-scattering random media
    • Samelsohn, G. & Mazar, R., 1996. Path-integral analysis of scalar wave propagation in multiple-scattering random media, Phys. Rev. E, 54, 5697-5706.
    • (1996) Phys. Rev. E , vol.54 , pp. 5697-5706
    • Samelsohn, G.1    Mazar, R.2
  • 19
    • 0022928752 scopus 로고
    • P-SV wave propagation in heterogeneous media: Velocity-stress finite-difference method
    • Virieux, J., 1986. P-SV wave propagation in heterogeneous media: velocity-stress finite-difference method, Geophysics, 51, 889-901.
    • (1986) Geophysics , vol.51 , pp. 889-901
    • Virieux, J.1
  • 20
    • 85040136095 scopus 로고
    • Differential-space
    • Wiener, N., 1923. Differential-space, J. Math. Phys., 2, 131-174.
    • (1923) J. Math. Phys. , vol.2 , pp. 131-174
    • Wiener, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.