Related Experiment Video
Updated: Jul 4, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
Application of the discrete dipole approximation for dipoles embedded in film
Euiwon Bae1, Haiping Zhang, E Daniel Hirleman
1School of Mechanical Engineering, Purdue University, West Lafayette, Indiana 47906, USA. hirleman@purdue.edu
Abstract:
An implementation of the discrete dipole approximation for dipoles embedded in film on substrate is derived. It is capable of predicting the scattering response from various types of subsurface features such as trenches and contact-vias. An arbitrarily shaped subsurface feature is modeled with dipoles inside the film material on top of a substrate. Relative polarizability, direct interactions, and reflection interactions are derived and applied to construct a system of equations that are solved with an iterative method. The far-field scattering response is computed from the dipole moment solution of the system matrix with the help of the reciprocity theorem. The validity of the proposed method is compared with that of other existing theories, and the effect of film structure on far-field scattering is shown with high-aspect-ratio cylindrical contact-via models.
Related Concept Videos
Induced Electric Dipoles
Since the absolute value of potential energy holds no physical meaning, its zero value can be chosen as per...
Electric Dipoles and Dipole Moment
Theoretically, studying electric dipoles leads to understanding why the resultant electric forces around us are weak. Since electric forces are strong, remnant net charges are rare. Hence, the interaction between dipoles helps us understand electrical interactions in...
Calculations of Electric Potential II
Consider a...
Potential Due to a Polarized Object
Molecular Geometry and Dipole Moments
Electric Field of a Charged Disk
The system's symmetry is in the cylindrical directions across the plane of the charge. As a result, the electric fields created by various surface charge elements nullify each other in the direction parallel to the surface. Thereby, the resulting electric field is perpendicular to the plane. Since the disk is...

