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1. Bergmann, P. G. (1946). “ The wave equation in a medium with a variable index of refraction,” J. Acoust. Soc. Am. 17, 329333.
2. Collins, M. D. (1993). “ A split-step Padé solution for parabolic equation method,” J. Acoust. Soc. Am. 93, 17361742.
3. Deane, G. B. , and Buckingham, M. J. (1993). “ An analysis of the three-dimensional sound field in a penetrable wedge with a stratified fluid or elastic basement,” J. Acoust. Soc. Am. 93, 13191328.
4. Feit, M. D. , and Fleck, J. A. , Jr. (1978). “ Light propagation in graded-index fibers,” Appl. Opt. 17, 39903998.
5. Hermand, J.-P. , Meyer, M. , Asch, M. , and Berrada, M. (2006). “ Adjoint-based acoustic inversion for the physical characterization of a shallow water environment,” J. Acoust. Soc. Am. 119, 38603871.
6. Hursky, P. , Porter, M. B. , Cornuelle, B. D. , Hodgkiss, W. S. , and Kuperman W. A. (2004). “ Adjoint modeling for acoustic inversion,” J. Acoust. Soc. Am. 115, 607619.
8. Lin, Y.-T. , and Duda, T. F. (2012). “ A higher-order split-step Fourier parabolic-equation sound propagation solution scheme,” J. Acoust. Soc. Am. 132, EL61EL67.
7. Lin, Y.-T. , and Lynch, J. F. (2011). “ Analytical study of the horizontal ducting of sound by an oceanic front over a slope,” J. Acoust. Soc. Am. 131, EL1EL7.
9. Smith, K. B. (2006). “ Adjoint modeling with a split-step Fourier parabolic equation model (L),” J. Acoust. Soc. Am. 120, 11901191.
10. Tappert, F. D. (1977). “ The parabolic equation method,” in Wave Propagation and Underwater Acoustics, edited by J. B. Keller and J. Papadakis, Lecture Notes in Physics 70 (Springer-Verlag, New York), pp. 224286.

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A higher-order square-root operator splitting algorithm is employed to derive a tangent linear solution for the three-dimensional parabolic wave equation due to small variations of the sound speed in the medium. The solution shown in this paper unifies other solutions obtained from less accurate approximations. Examples of three-dimensional acoustic ducts are presented to demonstrate the accuracy of the solution. Future work on the applications of associated adjoint models for acoustic inversions is proposed and discussed.


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