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Far-Field Diffraction Characteristics of a Time-Dependent Gaussian-Shaped Pulsed Beam from a Rectangular Aperture

The diffraction characteristics of a broad-band light source from a rectangular aperture in the far field are clarified theoretically via a prompt and precise mathematical derivation. We provide not only a rigorous treatment of a time-dependent Gaussian-shaped pulsed beam passing through a rectangular aperture but also give a more accurate and concrete determination of light distributions including the spectral, time-space intensity and energy distributions.