Related Experiment Video
Updated: Jul 7, 2026

Scattering And Absorption of Light in Planetary Regoliths
Published on: July 1, 2019
On appropriate equivalent monopole sets for rigid body scattering problems
Yves J R Gounot1, Ricardo E Musafir
1Acoustics and Vibration Laboratory, Department of Mechanical Engineering/COPPE/UFRJ, Universidade Federal do Rio de Janeiro, C.P. 68503, Rio de Janeiro, 21941-972, Brazil. ygounot@mecanica.ufrj.br
Abstract:
The present paper investigates properties of the solutions obtained with the equivalent sources method in scattering problems with the aim of identifying suitable monopole arrangements. Simple geometry scatterers--parallelepipeds with different aspect ratios--are considered and easy-to-implement source supports are tested: linear, circular, elliptical, and a "double linear" one. It was found that the supports providing best solutions differ according to the body geometry and the incidence angle of the impinging wave. Moreover, in the situations in which the other supports fail, it is shown that the double linear one provides satisfactory solutions with a minimum number of monopoles. Rules that furnish appropriate numbers of sources to use as well as their positioning are given for the different cases. A simple procedure based on these rules is proposed for scatterers with a more complex geometry, guaranteeing, still with a low number of monopoles, solutions with satisfactory accuracy.
Related Concept Videos
Rigid Body Equilibrium Problems - II
Consider two children sitting on a seesaw, which has negligible mass. The first child has a mass (m1) of 26 kg and sits at point A, which is 1.6 meters (r1) from the pivot point B; the second child has a mass (m2) of 32 kg and sits at point C. How far from the pivot point B should the second child sit (r2) to balance the seesaw?
Rigid Body Equilibrium Problems - I
Alternative Sets of Equilibrium Equations
One example of such a situation can be observed in a...
Equilibrium Conditions for a Particle
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
Symmetry in Maxwell's Equations
Virtual Work for a System of Connected Rigid Bodies
Next,...

