Abstract
Starting from the Rayleigh–Sommerfeld diffraction integral and without invoking the paraxial approximation and far-field approximation, the analytical expressions for the field distribution and analytical power spectrum of chirped pulsed super-Gaussian beam diffracted at a circular aperture are derived, which enable us to study the spectral anomalous behavior of diffracted chirped pulsed super-Gaussian beam. It is found that the spectral switch appears at the critical angle. The frequency difference between the two equal heights of spectral switches increases and the corresponding critical diffraction angle slightly increases as the chirp parameter increases or pulse duration decreases. By varying a suitable variation of the pulse duration, chirp parameter and truncation parameter the information encoding and transmission are achievable in the use of chirped pulsed super-Gaussian beam.
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