Autumn · project 16 of 20

Diffraction by an aperture

Topic: Green's functions and wave problems

  1. Consider the scattering of the scalar field \(\phi(\boldsymbol{r})=e^{i\boldsymbol{k}\cdot \boldsymbol{r}}\), where \(\boldsymbol{k}=(0,0,k)\), within the Helmholtz equation.

  2. Find the Green’s function of the Helmholtz equation.

  3. Consider a small aperture in an opaque screen shaped as (a) a square and (b) an equilateral triangle.

  4. Compute numerically the field behind the screen in the far zone.

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