25Electromagnetic Scattering
25.1 Background
Electromagnetic scattering problems formulated using the Cauchy integral (see Chapter 24) lead to a system of linear equations. The simplest useful case is perfect reflection, as for a perfect electrical conductor sitting in free (non‐conducting) three‐dimensional space. The formulation gives a linear system (Seagar 2016):
where 
is a boundary field derived from the incident field, 
and 
are projection operators, 
is the identity operator, and 
is the unknown reflected (scattered) field at the boundary1. The linear system for general values of material properties is given in Seagar (2016).
In essence, Eq. (25.1) is a linear system where 
is the known data vector, is the unknown vector, and the term in parentheses is a matrix . The individual ...
Get Numerical Calculations in Clifford Algebra now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
