Method and apparatus for modeling three-dimensional electromagnetic scattering from arbitrarily shaped three-dimensional objects

An apparatus for modeling the electromagnetic response of an arbitrarily shaped three-dimensional object to an arbitrary time-harmonic incident field by means of a well-conditioned boundary integral equation (BIE), the apparatus comprising:

• a. a computer system having a processor, a memory connected with the processor, and an input/output device connected with the processor for receiving parameters representing an arbitrarily shaped three-dimensional object and an arbitrary time-harmonic incident field;
• b. means, operating in the processor and the memory of the computer for utilizing the parameters representing the arbitrarily shaped three-dimensional object and the arbitrary time-harmonic incident field for producing a discretized representation of a well-conditioned BIE to provide a well-conditioned finite dimensional linear system whose solution approximates a distribution of equivalent surface sources on a model caused by the time-harmonic incident field;
• and
• c. means, operating in the processor and the memory of the computer for solving the linear system to determine values of the equivalent surface sources;
• whereby solution of the well-conditioned finite dimensional linear system provides improved computational efficiency and solution accuracy.

A method for modeling an electromagnetic response of an arbitrarily shaped three-dimensional object to an arbitrary time-harmonic incident field by means of a well-conditioned boundary integral equation (BIE), the method operating on a computer system having a processor, a memory connected with the processor, and an input/output device connected with the processor for receiving parameters representing an arbitrarily shaped three-dimensional object and an arbitrary time-harmonic incident field, the method comprising the steps of:

• a. utilizing the parameters representing the arbitrarily shaped three-dimensional object and the arbitrary time-harmonic incident field for producing a discretized representation of a well-conditioned BIE to provide a well-conditioned finite dimensional linear system whose solution approximates a distribution of equivalent surface sources on a model caused by the arbitrary time-harmonic incident field;
• and
• b. solving the linear system to determine values of the equivalent surface sources;
• whereby solution of the well-conditioned finite-dimensional linear system provides improved computational efficiency and solution accuracy.