References
- Ahluwallia DS, Keller JB. Exact and asymptotic representations of acoustic fields in the stratified ocean. In: Keller JB, Papadakis JS, editors. Wave propagation and underwater acoustics. Lecture notes in physics. Berlin: Springer-Verlag; 1977. p. 14–85.
- Brekhovskikh LM. Waves in layered media. New York (NY): Academic Press; 1960.
- Boyles CA. Acoustic waveguides, applications to oceanic science. New York (NY): Wiley; 1984.
- Lighthill G. Waves in fluids. Cambridge: Cambridge University Press; 1978.
- Kinsler LE. Fundamentals of acoustics. 3rd ed. NewYork (NY): Wiley; 1982.
- Medwin H, Clay CS. Fundamentals of acoustical oceanography. New York (NY): Academic Press; 1998.
- Tolstoy I, Clay CS. Ocean acoustic, theory and experiment in underwater sound. New York (NY): McGraw-Hill Book Company; 1966.
- Wilcox C. Sound propagation in stratified fluids. Vol. 50, Applied mathematical sciences. Berlin: Springer-Verlag; 1984.
- Buldyrev VS. Sound field produced by a source moving in a non homogeneous layer lying on a homogeneous half-space. Zapis. sem. LOMI. 1986;156:35–49. Russian.
- Buldyrev VS, Grigorieva NS. Acoustic field generated by a moving atmosphere source in a fluid layer with variable thickness. Acust. J. 1993;39:782–792, 1014–1024. Russian.
- Hawker K. A normal mode theory of acoustic Doppler effects in the oceanic waveguide. J. Acoust. Soc. Am. 1979;65:675–681.
- Lim PH, Ozard JM. On the underwater acoustic field of a moving point source. I. Range-independent environment. J. Acoust. Soc. Am. 1994;95:131–137. doi:10.1121/1.408370.
- Lim PH, Ozard JM. On the underwater acoustic field of a moving point source. II. Range-dependent environment. J. Acoust. Soc. Am. 1994;95:138–151. doi:10.1121/1.408371.
- Il’ichev VI, Rabinovich VS, Rivelis EA, Hoha UV. Acoustic field of a moving narrow-band source in oceanic waveguides. Dokl. Akad. Nauk. SSSR. 1989;304:1123–1127. Russian.
- Obrezanova OA, Rabinovich VS. Acoustic field generated by moving sources in stratified waveguides. Wave Motion. 1998;27:155–167.
- Fedoryk MV. The saddle-point method. Moscow: Nauka; 1977. Russian.
- Bleistein N. Mathematical methods for wave phenomena. New York (NY): Academic Press; 1984.
- Pryce JD. Numerical solution of Sturm–Liouville problems. Oxford: Clarendon Press; 1993.
- Porter MB, Reiss EL. A numerical method for ocean-acoustic normal modes. J. Acoust. Soc. Am. 1984;76:244–252.
- Porter MB, Reiss EL. A numerical method for bottom interacting ocean acoustic normal modes. J. Acoust. Soc. Am. 1984;77:1760–1767.
- Chew WC. Waves and fields in inhomogeneous media. New York (NY): IEEE Press; 1995.
- Gedeon A. Comparison between rigorous theory and WKB-analysis of modes in graded-index waveguides. Opt. Commun. 1974;12:329–332.
- Heinbockel JH. Numerical methods for scientific computing. Oxford: Trafford Publishing; 2006.
- Kravchenko VV. Applied pseudoanalytic theory. Frontier in mathematics. Basel: Birkhäuser Verlag; 2009.
- Kravchenko VV, Porter RM. Spectral parameter power series for Sturm–Liouville problems. Math. Meth. App. Sci. 2010;33:459–468.
- Khmelnytskaya KV, Kravchenko VV, Rosu HC. Eigenvalue problems, spectral parameter power series, and modern applications. Math. Meth. Appl. Sci. [ 2014 June 26]. doi:10.1002/mma.3213.
- Kravchenko VV. A representation for solutions of the Sturm–Liouville equation. Comp. Var. Elliptic Equ. 2008;53:775–789.
- Castillo-Perez R, Kravchenko VV, Oviedo-Galdeano H, Rabinovich VS. Dispersion equation and eigenvalues for quantum wells using spectral parameter power series. J. Math. Phys. 2011;52:043522.
- Barrera-Figueroa V, Kravchenko VV, Rabinovich VS. Spectral parameter power series analysis of isotropic planar layered waveguides. Appl. Anal. 2013;93:729–755. doi:10.1080/00036811.2013.794940.
- Waite AD. SONAR for practising engineers. 3rd ed. Chichester: Wiley; 1998.
- Berezin FA, Shubin MA. The Schrödinger equation. Dorderecht: Kluwer Academic Press; 1991.
- Cohen L. Time-frequency analysis. New York (NY): Prentice Hall; 1995.