2 685 - Numerical Methods in Wave Scattering

Institution:

Massachusetts Institute of Technology

Subject:

Description:

Fundamental equations for acoustic and electromagnetic waves are derived from first principles. Boundary, or interface, conditions introduced. The development of numerical methods to solve wave equations in interior or exterior domains, using boundary-element and finite-element techniques, is emphasized. Spectral techniques are also developed. A number of technical computational issues are addressed, including discretization of geometry, order of approximation, efficiency, and analysis of numerical schemes. Validation is an essential exercise. Validation examples are drawn from analytical solutions for separable shapes. Applications of numerical methods are presented for acoustic scattering by marine organisms of complex shape and structure, and optical scattering by dielectric bodies. Assignments entail code development.

Credits:

3.00

Credit Hours:

Prerequisites:

Prereq: 2.066, 18.06

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

web.mit.edu/student/

Phone Number:

(617) 253-1000

Regional Accreditation:

New England Association of Schools and Colleges

Calendar System:

Four-one-four plan

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