Document Details

Document Type : Thesis 
Document Title :
Chirped Gaussian Pulse Excitation of Harmonic Oscillator: Fourier and Wavelet Spectra
اثاره نبض غاوسي للحركه التذبذبيه التوافقية باستخدام تحويل فورييه والموجيات لداله الطيف
 
Subject : Faculty of Science 
Document Language : Arabic 
Abstract : We solve the dynamics of the interaction of the single mode of harmonic oscillator (HO) coupled with a train of n-chirped Gaussian classical pulses with non-dissipative non-linear cavity. Transient scattered spectra of the model are investigated through: (i) Fourier fluorescent spectrum in the case of outside rotating wave approximation (RWA) in the discursive cavity. (ii) Two window functions, namely, Haar wavelet and the Morlet wavelet in non-dispersive nonlinear cavity. Analytical expressions are derived for both spectra in terms of the error function of complex argument. The exact analytical results show that 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. Computational display for the spectra are given in the two cases of initial vacuum and number states of the HO. Spectra show asymmetry, dense oscillation of its envelope peaks, narrowing and spiking peaks in the case of the wavelets spectrum which are lost in Fourier fluorescent spectrum. 
Supervisor : Dr. Rania Al-Harbi 
Thesis Type : Master Thesis 
Publishing Year : 1443 AH
2022 AD 
Co-Supervisor : Prof. Hanan Batarfi 
Added Date : Wednesday, January 4, 2023 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
هاله بشير أبو سمرهAbu Samra, Hala ResearcherMaster 

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