A higher-order split-step Fourier parabolic-equation sound propagation solution scheme.
نویسندگان
چکیده
A three-dimensional Cartesian parabolic-equation model with a higher-order approximation to the square-root Helmholtz operator is presented for simulating underwater sound propagation in ocean waveguides. The higher-order approximation includes cross terms with the free-space square-root Helmholtz operator and the medium phase speed anomaly. It can be implemented with a split-step Fourier algorithm to solve for sound pressure in the model. Two idealized ocean waveguide examples are presented to demonstrate the performance of this numerical technique.
منابع مشابه
Three-dimensional Sound Propagation Models Using the Parabolic-equation Approximation and the Split-step Fourier Method
The split-step Fourier method is used in three-dimensional parabolic-equation (PE) models to compute underwater sound propagation in one direction (i.e. forward). The method is implemented in both Cartesian (x, y, z) and cylindrical (r, θ, z) coordinate systems, with forward defined as along x and radial coordinate r, respectively. The Cartesian model has uniform resolution throughout the domai...
متن کاملHigher-order split-step Fourier schemes for the generalized nonlinear Schrödinger equation
The generalized nonlinear Schrödinger (GNLS) equation is solved numerically by a split-step Fourier method. The first, second and fourth-order versions of the method are presented. A classical problem concerning the motion of a single solitary wave is used to compare the first, second and fourth-order schemes in terms of the accuracy and the computational cost. This numerical experiment shows t...
متن کاملPETOOL: MATLAB-based one-way and two-way split-step parabolic equation tool for radiowave propagation over variable terrain
In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a r t i c l e i n f o a b s t r a c t A MATLAB-based one-way and two-way split-step parabolic equation software tool (PETOOL...
متن کاملDYNAMICAL SIMULATION OF UNDERWATER SOUND PROPAGATION IN THE HORMOZ STRAIT
Providing an illustration of sound propagation in the Hormoz Strait ,this paper is about acoustic wave propagation in shallow water for a harmonic point source with low frequency, less than 1000 and solution of a homogenous Helmholtz equation using parabolic equation. C++ programming is used to solve Helmholtz equation [9] and MATLAB software is used to illustrate figures and animate them [6], ...
متن کاملAn Expucit Finite-difference Scheme for Solving the Ocean Acoustic Parabouc Wave Equation
Many different numerical models exist for solving the parabolic wave equation. Hardin and Tappert[2] suggested a split-step algorithm in conjunction with the fast Fourier Transform (FFr) method. Lee and Papadakis[3] used a scheme which is based on the predictor-corrector technique of Adams-Bashforth; Lee, Botseas and Papadakis[4] introduced an implicit finitedifference scheme. Chan, Shen and Le...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- The Journal of the Acoustical Society of America
دوره 132 2 شماره
صفحات -
تاریخ انتشار 2012