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This [course_title] is designed for you to deals with the problems and to examine wave equations for fluid and visco-elastic media, wave-theory formulations of acoustic source radiation etc. Through this [course_title] will be able to study the Acoustic Wave Equation, the Helmholtz Equation, Green’s Functions, Reflection and Transmission, The Pekeris Waveguide, Wavenumber Integration, Numerical approaches & procedures, Parabolic Equation etc. for solving real life related problems.


This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer need to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.


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Course Credit: MIT

Course Curriculum

The Acoustic Wave Equation, Integral Transforms, The Helmholtz Equation 00:20:00
Sources in Unbounded and Bounded Media, Green’s Functions, Green’s Theorem 00:20:00
Reflection and Transmission, Integral Transform Solution, Source in Half-spaces 00:20:00
Ideal Waveguides, The Pekeris Waveguide 00:30:00
Wavenumber Integration Layer Solutions and Interface Conditions 00:25:00
Wavenumber Integration Global Matrix Solution 00:25:00
Wavenumber Integration Propagator Matrix and Invariant Embedding Solution 00:15:00
Wavenumber Integration Numerical Evaluation of Wavenumber Integral, Aliasing and Wrap-around 00:25:00
Wavenumber Integration Numerical Methods Used in Wavenumber Integration 00:45:00
Normal Modes Mathematical Derivation, Model Expansion of the Green’s Function 00:30:00
Normal Modes Isovelocity Problem, Generalized Derivation 00:30:00
Normal Modes Munk Profile, Numerical Approaches 00:25:00
Normal Modes Numerical Approaches (contd.) 00:25:00
Normal Modes Numerical Procedures 00:30:00
Normal Modes Range-dependent Environment, Coupled Modes 00:30:00
Normal Modes 3-D Environment 00:25:00
Parabolic EquationDerivation of Parabolic Equations 00:20:00
Parabolic Equation Starting Fields 00:25:00
Parabolic Equation Energy Conservation Problem, Solutions by FDs FEs 00:35:00
Doppler Shift in Waveguide 00:20:00
Time Series Simulation, Signal and Noise 00:25:00
Submit Your Assignment 00:00:00
Certification 00:00:00

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