Analysis of the Electromagnetic Characteristics of Nanowires Using ScaLAPACK on High Performance Computers

With the advancement of nanofabrication techniques, the realization of nanoscale electronics and devices is becoming increasing widespread. A primary difficulty in dealing with such small structures, whose dimensions are smaller than 100 nanometers, is the increasing computational complexity due to the rapid variations of the field of very short distances. For objects that are not either simple spheres or cylinders, analytical approaches are not available. One must then rely on an effective numerical approach that incorporates the necessary boundary conditions. A volume integral equation called the Lippman-Schwinger equation offers the best numerical procedure for the computation of electromagnetic fields for nanowires and similar structures. This technique is used to validate results produced by the less precise, and computationally less expensive, numerical methods we employ on a routine basis.