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.

**Assessment**

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.

**Certification**

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Having an Official Edukite Certification is a great way to celebrate and share your success. You can:

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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 | ||

Assessment | |||

Submit Your Assignment | 00:00:00 | ||

Certification | 00:00:00 |

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