# Interference and Diffraction

## Model Data

**Type:**
classic pde

**Physics Modes:**
custom equation

**Keywords:**
pde
diffraction
helmholtz equation
equation editing

The classic double-slit experiment considers a planar and periodic oscillating wave which hits and passes two narrow slits. Assuming the slits are narrow enough, the passing waves will bend and cause an interference pattern, while diffraction will attenuate the off axis resulting amplitude.

In the example the Helmholtz equation is used to model the wave phenomena

$$ -( \frac{\partial^2 A}{\partial x^2} + \frac{\partial^2 A}{\partial y^2} ) - k^2 A = 0 $$

where *A* is the amplitude of the wave,and *k* the wave number (*k =
2·π/λ*).

This model is available as an automated tutorial by selecting **Model
Examples and Tutorials…** > **Classic PDE** > **Interference and
Diffraction** from the **File** menu. Or alternatively, follow the
linked step-by-step instructions.