Contents
Properties of the System
1.Linearity:
The system is not linear because if we increase the intensity at the slit then the intensity at the diffraction pattern does not increase linearly since intensity at the diffraction pattern is the square of the modulus of the fourier transform.
2. Causality:
Clearly if the intensity is zero at the slit then there is no diffraction pattern on the screen. The system is causal as the there is diffraction pattern on the screen only as long as slit is illuminated i.e the diffraction pattern on the screen depends only on the present value of the intensity on the slit.
3. Memory:
The system is memory less as the diffraction pattern on the screen depends only on the present value of the intensity at the slit.
4. Stability:
The system is stable since if the intensity at the slit is bounded then surely the intensity at the diffraction pattern on the screen is bounded i.e the intensity at the screen never becomes unbounded if the intensity at the slit is bounded.
5.Invertibility:
The system is invertible as for two distinct intensities on the screen there are two distinct diffraction patterns on the screen.
