메뉴 건너뛰기




Volumn 460, Issue 2046, 2004, Pages 1631-1647

Fermat's principle for non-dispersive waves in non-stationary media

Author keywords

Anisotropic media; Fermat's principle; Geometrical optics; Non stationary media; Wave propagation in inhomogeneous media

Indexed keywords

ANISOTROPY; ARTICLE; DISPERSION; MATHEMATICAL COMPUTING; TIME; VELOCITY;

EID: 2542627318     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2003.1231     Document Type: Article
Times cited : (15)

References (31)
  • 2
    • 84995007716 scopus 로고
    • A geometrical picture of anisotropic elastic tensors
    • Backus, G. 1970 A geometrical picture of anisotropic elastic tensors. Rev. Geophys. Space Phys. 8, 633-671.
    • (1970) Rev. Geophys. Space Phys. , vol.8 , pp. 633-671
    • Backus, G.1
  • 3
    • 0000889322 scopus 로고
    • Fermat's principle and nonlinear traveltime tomography
    • Berryman, J. G. 1989 Fermat's principle and nonlinear traveltime tomography. Phys. Rev. Lett. 62, 2953-2956.
    • (1989) Phys. Rev. Lett. , vol.62 , pp. 2953-2956
    • Berryman, J.G.1
  • 4
    • 0002020467 scopus 로고
    • Stable iterative reconstruction algorithm for nonlinear travel-time tomography
    • Berryman, J. G. 1990 Stable iterative reconstruction algorithm for nonlinear travel-time tomography. Inv. Probl. 6, 21-42.
    • (1990) Inv. Probl. , vol.6 , pp. 21-42
    • Berryman, J.G.1
  • 7
    • 0036333517 scopus 로고    scopus 로고
    • Fermat's variational principle for anisotropic inhomogeneous media
    • Cervený, V. 2002 Fermat's variational principle for anisotropic inhomogeneous media. Studia Geophys. Geod. 46, 567-588.
    • (2002) Studia Geophys. Geod. , vol.46 , pp. 567-588
    • Cervený, V.1
  • 8
    • 0016116248 scopus 로고
    • Ray trace acoustics in unsteady inhomogeneous flow
    • Engelke, R. 1974 Ray trace acoustics in unsteady inhomogeneous flow. J. Acoust. Soc. Am. 56, 1291-1292.
    • (1974) J. Acoust. Soc. Am. , vol.56 , pp. 1291-1292
    • Engelke, R.1
  • 9
    • 0026682282 scopus 로고
    • Fermat's principle in elastodynamics
    • Epstein, M. & Sniatycki, J. 1992 Fermat's principle in elastodynamics. J. Elasticity 27, 45-56.
    • (1992) J. Elasticity , vol.27 , pp. 45-56
    • Epstein, M.1    Sniatycki, J.2
  • 10
    • 11944270022 scopus 로고
    • Nonstationary gravitational lenses and the Fermat principle
    • Faraoni, V. 1992 Nonstationary gravitational lenses and the Fermat principle. Astrophys. J. 398, 425-428.
    • (1992) Astrophys. J. , vol.398 , pp. 425-428
    • Faraoni, V.1
  • 11
    • 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
  • 15
    • 0035981970 scopus 로고    scopus 로고
    • The Fermat principle in general relativity and applications
    • Giannoni, F., Masiello, A. & Piccione, P. 2002 The Fermat principle in general relativity and applications. J. Math. Phys. 43, 563-596.
    • (2002) J. Math. Phys. , vol.43 , pp. 563-596
    • Giannoni, F.1    Masiello, A.2    Piccione, P.3
  • 16
    • 0040835753 scopus 로고
    • A sound field in the vicinity of a caustic in a nonstationary moving fluid
    • Godin, O. A. 1994 A sound field in the vicinity of a caustic in a nonstationary moving fluid. Dokl. Phys. 40, 102-106.
    • (1994) Dokl. Phys. , vol.40 , pp. 102-106
    • Godin, O.A.1
  • 17
    • 0036758723 scopus 로고    scopus 로고
    • On sound propagation in a nonstationary ocean
    • Godin, O. A. 2002 On sound propagation in a nonstationary ocean. Dokl. Phys. 47, 639-642.
    • (2002) Dokl. Phys. , vol.47 , pp. 639-642
    • Godin, O.A.1
  • 19
    • 0001496905 scopus 로고
    • Fermat principle in arbitrary gravitational fields
    • Kovner, I. 1990 Fermat principle in arbitrary gravitational fields. Astrophys. J. 351, 114-120.
    • (1990) Astrophys. J. , vol.351 , pp. 114-120
    • Kovner, I.1
  • 24
    • 0036336607 scopus 로고    scopus 로고
    • Three-dimensional travel-time calculation based on Fermat's principle
    • Meshbey, V., Ragoza, E., Kosloff, D., Egozi, U. & Wexler, D. 2002 Three-dimensional travel-time calculation based on Fermat's principle. Pure Appl. Geophys. 159, 1563-1582.
    • (2002) Pure Appl. Geophys. , vol.159 , pp. 1563-1582
    • Meshbey, V.1    Ragoza, E.2    Kosloff, D.3    Egozi, U.4    Wexler, D.5
  • 27
    • 0042452654 scopus 로고    scopus 로고
    • A three dimensional robust seismic ray tracer for volcanic regions
    • Nishi, K. 2001 A three dimensional robust seismic ray tracer for volcanic regions. Earth Planets Space 53, 101-109.
    • (2001) Earth Planets Space , vol.53 , pp. 101-109
    • Nishi, K.1
  • 28
    • 0041952046 scopus 로고
    • Eigenray tracing in an ocean using Fermat's principle
    • Shashidhar, N. S. & Anand, G. V. 1995 Eigenray tracing in an ocean using Fermat's principle. J. Sound Vib. 186, 231-243.
    • (1995) J. Sound Vib. , vol.186 , pp. 231-243
    • Shashidhar, N.S.1    Anand, G.V.2
  • 29
    • 0015345095 scopus 로고
    • Ray acoustics and Fermat's principle in a moving inhomogeneous medium
    • Uginčius, P. 1970 Ray acoustics and Fermat's principle in a moving inhomogeneous medium. J. Acoust. Soc. Am. 51, 1759-1763.
    • (1970) J. Acoust. Soc. Am. , vol.51 , pp. 1759-1763
    • Uginčius, P.1
  • 30
    • 17544401936 scopus 로고    scopus 로고
    • Fermat principle for a nonstationary medium
    • Voronovich, A. G. & Godin, O. A. 2003 Fermat principle for a nonstationary medium. Phys. Rev. Lett. 91, 044302.
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 044302
    • Voronovich, A.G.1    Godin, O.A.2
  • 31
    • 0038204057 scopus 로고    scopus 로고
    • Correction of geometric and refractive image distortions in optical coherence tomography applying Fermat's principle
    • Westphal, V., Rollins, A. M., Radhakrishnan, S. & Izatt, J. A. 2002 Correction of geometric and refractive image distortions in optical coherence tomography applying Fermat's principle. Opt. Express 10, 397-404.
    • (2002) Opt. Express , vol.10 , pp. 397-404
    • Westphal, V.1    Rollins, A.M.2    Radhakrishnan, S.3    Izatt, J.A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.