Related Experiment Video
Updated: Feb 9, 2026

Harmonic Nanoparticles for Regenerative Research
Published on: May 1, 2014
Modeling of second-harmonic generation in periodic nanostructures by the Fourier modal method with matched
Abstract:
We present an advanced formulation of the Fourier modal method for analyzing the second-harmonic generation in multilayers of periodic arrays of nanostructures. In our method, we solve Maxwell's equations in a curvilinear coordinate system, in which the interfaces are defined by surfaces of constant coordinates. Thus, we can apply the correct Fourier factorization rules as well as adaptive spatial resolution to nanostructures with complex cross sections. We extend here the factorization rules to the second-harmonic susceptibility tensor expressed in the curvilinear coordinates. The combination of adaptive curvilinear coordinates and factorization rules allows for efficient calculation of the second-harmonic intensity, as demonstrated for one- and two-dimensional periodic nanostructures.
Related Concept Videos
Harmonic Mean
Take the example of the speed of a car, which is the measure of the rate of distance traveled. If the vehicle traverses the same distance back-and-forth, its average speed equals the total distance traveled divided by the total time taken. However, if the car moves with varying speeds, then the arithmetic mean is more skewed...
Area Computation by the Alternative Coordinate Method
Coordination Number and Geometry
Sign Test for Matched Pairs
To conduct the sign test, we first calculate the differences in...
Coordination Compounds and Nomenclature
The Periodic Table

