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Volumn 103, Issue 2, 1998, Pages 814-821

Mode functions for the wide-angle approximation to the parabolic equation

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ARTICLE; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; SOUND PRESSURE;

EID: 0031934780     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.421202     Document Type: Article
Times cited : (4)

References (21)
  • 4
    • 0001418867 scopus 로고
    • Applications and time-domain solution of higher-order parabolic equations in underwater acoustics
    • Collins, M. D. (1989). "Applications and time-domain solution of higher-order parabolic equations in underwater acoustics," J. Acoust. Soc. Am. 86, 1097-1102.
    • (1989) J. Acoust. Soc. Am. , vol.86 , pp. 1097-1102
    • Collins, M.D.1
  • 5
    • 84953678538 scopus 로고
    • Relation between the solutions of the Helmholtz and parabolic equations for sound propagation
    • DeSanto, J. A. (1977). "Relation between the solutions of the Helmholtz and parabolic equations for sound propagation," J. Acoust. Soc. Am. 62, 295-297.
    • (1977) J. Acoust. Soc. Am. , vol.62 , pp. 295-297
    • DeSanto, J.A.1
  • 6
    • 0018105155 scopus 로고
    • Light propagation in graded-index fibers
    • Feit, M. D., and Fleck, J. A. (1978). "Light propagation in graded-index fibers," Appl. Opt. 17, 3990-3998.
    • (1978) Appl. Opt. , vol.17 , pp. 3990-3998
    • Feit, M.D.1    Fleck, J.A.2
  • 8
    • 0001668244 scopus 로고
    • Applications of the split-step Fourier method to the numerical solution of nonlinear and variable coefficient wave equations
    • Hardin, R. H., and Tappert, F. D. (1973). "Applications of the split-step Fourier method to the numerical solution of nonlinear and variable coefficient wave equations," SIAM Rev. 15, 423.
    • (1973) SIAM Rev. , vol.15 , pp. 423
    • Hardin, R.H.1    Tappert, F.D.2
  • 11
    • 0016026980 scopus 로고
    • Sound channel in an exponentially stratified ocean with application to SOFAR
    • Munk, W. H. (1974). "Sound channel in an exponentially stratified ocean with application to SOFAR," J. Acoust. Soc. Am. 55, 220-226.
    • (1974) J. Acoust. Soc. Am. , vol.55 , pp. 220-226
    • Munk, W.H.1
  • 12
    • 17344366429 scopus 로고
    • FastPE, SlowPE, YourPE, MIPE: What are the Real Issues?
    • edited by S. A. Chin-Bing, D. B. King, J. A. Davis, and R. B. Evans, Naval Research Laboratory NRL/BE/7181-93-0001 (U.S. Government Printing Office, Washington, DC, 1993)
    • Nghiem-Phu, L., Smith, K. B., and Tappert, F. D. (1993). "FastPE, SlowPE, YourPE, MIPE: What are the Real Issues?" in PE Workshop II: Proceedings of the Second Parabolic Equation Workshop, edited by S. A. Chin-Bing, D. B. King, J. A. Davis, and R. B. Evans, Naval Research Laboratory NRL/BE/7181-93-0001 (U.S. Government Printing Office, Washington, DC, 1993), pp. 249-264.
    • (1993) PE Workshop II: Proceedings of the Second Parabolic Equation Workshop , pp. 249-264
    • Nghiem-Phu, L.1    Smith, K.B.2    Tappert, F.D.3
  • 13
    • 0004005560 scopus 로고
    • Rep. SM-245 (SACLANT Undersea Research Centre, La Spezia, Italy, 1991)
    • Porter, M. B. (1991). "The KRAKEN normal mode program," Rep. SM-245 (SACLANT Undersea Research Centre, La Spezia, Italy, 1991).
    • (1991) The KRAKEN Normal Mode Program
    • Porter, M.B.1
  • 14
    • 0027337092 scopus 로고
    • Anomalous'parabolic equation results for propagation in leaky surface ducts
    • Porter, M. B., and Jensen, F. B. (1993). "Anomalous'parabolic equation results for propagation in leaky surface ducts," J. Acoust. Soc. Am. 94, 1510-1516.
    • (1993) J. Acoust. Soc. Am. , vol.94 , pp. 1510-1516
    • Porter, M.B.1    Jensen, F.B.2
  • 16
    • 33744656603 scopus 로고
    • UMPE: The university of Miami parabolic equation model, Version 1.1
    • Scripps Inst. of Oceanography, San Diego, 1994
    • Smith, K. B., and Tappert, F. D. (1994). "UMPE: The University of Miami Parabolic Equation Model, Version 1.1," Marine Physical Laboratory Tech. Memo 432 (Scripps Inst. of Oceanography, San Diego, 1994).
    • (1994) Marine Physical Laboratory Tech. Memo , vol.432
    • Smith, K.B.1    Tappert, F.D.2
  • 17
    • 0000978807 scopus 로고
    • The parabolic approximation method
    • edited by J. B. Keller and J. S. Papadakis (Springer-Verlag, Berlin, 1977)
    • Tappert, F. D. (1977). "The parabolic approximation method," in Wave Propagation and Underwater Acoustics, Lecture Notes in Physics, edited by J. B. Keller and J. S. Papadakis (Springer-Verlag, Berlin, 1977), Vol. 70, pp. 224-287.
    • (1977) Wave Propagation and Underwater Acoustics, Lecture Notes in Physics , vol.70 , pp. 224-287
    • Tappert, F.D.1
  • 18
    • 0029867510 scopus 로고    scopus 로고
    • Asymptotic phase errors in parabolic approximations to the one-way Helmholtz equation
    • Tappert, F. D., and Brown, M. G. (1996). "Asymptotic phase errors in parabolic approximations to the one-way Helmholtz equation," J. Acoust. Soc. Am. 99, 1405-1413.
    • (1996) J. Acoust. Soc. Am. , vol.99 , pp. 1405-1413
    • Tappert, F.D.1    Brown, M.G.2
  • 19
    • 0028833870 scopus 로고
    • New full-wave approximation for ocean acoustic travel time predictions
    • Tappert, F. D., Spiesberger, J. L., and Boden, L. (1995). "New full-wave approximation for ocean acoustic travel time predictions," J. Acoust. Soc. Am. 97, 2771-2782.
    • (1995) J. Acoust. Soc. Am. , vol.97 , pp. 2771-2782
    • Tappert, F.D.1    Spiesberger, J.L.2    Boden, L.3
  • 20
    • 0041029385 scopus 로고
    • PE-based spectral decomposition
    • edited by S. A. Chin-Bing, D. B. King, J. A. Davis, and R. B. Evans, Naval Research Laboratory NRL/BE/7181-93-0001 (US Government Printing Office, 1993)
    • Thomson, D. J. (1993). "PE-Based Spectral Decomposition," in PE Workshop II: Proceedings of the Second Parabolic Equation Workshop, edited by S. A. Chin-Bing, D. B. King, J. A. Davis, and R. B. Evans, Naval Research Laboratory NRL/BE/7181-93-0001 (US Government Printing Office, 1993), pp. 296-320.
    • (1993) PE Workshop II: Proceedings of the Second Parabolic Equation Workshop , pp. 296-320
    • Thomson, D.J.1
  • 21
    • 0020881437 scopus 로고
    • A wide-angle split-step algorithm for the parabolic equation
    • Thomson, D. J., and Chapman, N. R. (1983). "A wide-angle split-step algorithm for the parabolic equation," J. Acoust. Soc. Am. 74, 1848-1854.
    • (1983) J. Acoust. Soc. Am. , vol.74 , pp. 1848-1854
    • Thomson, D.J.1    Chapman, N.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.