Updated — Solucionario Hecht Optica 3 Edicion

The 2D Fourier transform of a rectangle is the product of two sinc functions. The final irradiance is: [ I(\theta_x, \theta_y) = I_0 \ \textsinc^2\left(\frac\pi a \sin\theta_x\lambda\right) \ \textsinc^2\left(\frac\pi b \sin\theta_y\lambda\right) ] The solucionario includes the full derivation using double integrals over the aperture coordinates.

Unlike the official instructor’s manual, which sometimes only gives final answers, the best versions of this solucionario include: Solucionario Hecht Optica 3 Edicion

Derive the irradiance pattern for a rectangular aperture of width ( a ) and height ( b ). The 2D Fourier transform of a rectangle is