Wavelet Spectra of a Chirped Gaussian Pulsed-Driven Harmonic Oscillator

R. A. Alharbey and H. Abusamra
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R. A. Alharbey: Mathematics Department, Faculty of Science, King Abdulaziz University, P.O. Box 80200, Jeddah 21589, Saudi Arabia
H. Abusamra: Mathematics Department, Faculty of Science, King Abdulaziz University, P.O. Box 80200, Jeddah 21589, Saudi Arabia

Mathematics, 2021, vol. 9, issue 9, 1-10

Abstract: 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.

Keywords: harmonic oscillator; chirped gaussian laser pulses; haar and morlet wavelet spectra (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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