Wavelet Spectra of a Chirped Gaussian Pulsed-Driven Harmonic Oscillator

We investigate the nature of spectral lines of emitted radiation due to of a non-dissipative single-mode quantized harmonic oscillator (HO) with train of n-chirped Gaussian pulses. Specifically, we analyze the transient emitted spectrum through two window wavelet functions of the radiation detector, namely the Haar wavelet and Morlet wavelet. Computational display of the exact analytical results shows how the driving pulse parameters (strength and number of pulses, chirping, repetition time) act as control knobs to shape the detected emitted spectrum as desired.

Automated summary

The nature of spectral lines of emitted radiation by a non-dissipative single-mode quantized harmonic oscillator with n-chirped Gaussian pulses was investigated. The transient emitted spectrum was analyzed using the Haar wavelet and Morlet wavelet functions of the radiation detector. The computational display of the analytical results demonstrated how the driving pulse parameters can shape the detected emitted spectrum as desired.