Initial phase and free-particle wave packet evolution
Geometry for the application of scalar diffraction theory to a simple optical system consisting of a lens of uniform refractive index in an aperture (a). After the lens, the wave propagates in free space to the measurement plane. Parts (b–d) represent the optical system as a scalar diffraction problem (see text). The geometric optics focal distance is .
Free-particle evolution of a Gaussian wave packet with cosinusoidal “diverging” phase, that is, .
Wave packet spreading over time for various initial wave packets: (a) and ; (b) and (see text).
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