Related Experiment Video
Updated: May 12, 2026

Interfacial Molecular-level Structures of Polymers and Biomacromolecules Revealed via Sum Frequency Generation Vibrational Spectroscopy
Published on: August 13, 2019
Fast modal method for crossed grating computation, combining finite formulation of Maxwell equations with polynomial
Benjamin Portier1, Fabrice Pardo, Patrick Bouchon
1ONERA-The French Aerospace Laboratory, Palaiseau, France.
Abstract:
We present a modal method for the fast analysis of 2D-layered gratings. It combines exact discrete formulations of Maxwell equations in 2D space with polynomial approximations of the constitutive equations, and provides a sparse formulation of the eigenvalue equations. In specific cases, the use of sparse matrices allows us to calculate the electromagnetic response while solving only a small fraction of the eigenmodes. This significantly increases computational speed up to 100×, as shown on numerical examples of both dielectric and metallic subwavelength gratings.
Related Concept Videos
Differential Form of Maxwell's Equations
Fast Decoupled and DC Powerflow
Symmetry in Maxwell's Equations
Maxwell's Equation Of Electromagnetism
Ampere-Maxwell's Law: Problem-Solving
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of the problem,...
Method of Superposition
When applying the method of superposition, each type of load—whether...