Journal of Undergraduate Research
Keywords
scalar waves, scatter waves, Method of Moments, Helmholtz
College
Physical and Mathematical Sciences
Department
Physics and Astronomy
Abstract
Scattering problems are common in physics. A scattered (reflected) wave or particle from an object can give us hints to the nature of the object’s shape, size, color, or composition. This is the basic principle behind sonar, radar, ultrasound, NMR, and even vision. One technique in determining the nature of a scattered wave is called the Method of Moments. It involves solving the Helmholtz equation by representing the object’s response or current as a sum of basis functions and weights. The number of basis functions used is important. If there are too many the computational time becomes inordinate. However, there must be enough basis functions to accurately represent the current. The most difficult place to meet both criteria is when the wavelength and the length of the object are comparable.
Recommended Citation
Oliphant, David and Turley, Dr. R. Steven
(2014)
"Scalar Waves Scattering Off a Cylinder,"
Journal of Undergraduate Research: Vol. 2014:
Iss.
1, Article 1247.
Available at:
https://scholarsarchive.byu.edu/jur/vol2014/iss1/1247