Numerical modeling of optical coherent transient processes with complex configurations—I. Angled beam geometry

Chang, Tiejun; Tian, Mingzhen; Babbitt, W.R.

doi:10.1016/j.jlumin.2003.12.005

Cited by 14 publications

(8 citation statements)

References 18 publications

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“…There is no analytic expression for propagation of a chirped optical field under these conditions. Therefore, a Maxwell-Bloch simulator [22], which numerically integrates the coupled Maxwell and Bloch equations for studying the coherent interaction of applied electric field with the optically thick material, was used to determine the inversion under realistic conditions. The maximum gain for an inverted two-level absorber is a function of the material's optical thickness, a 0 L. When total population inversion is achieved, the unsaturated amplification gain should be, G ¼ expðþa 0 LÞ.…”

Section: Simulationsmentioning

confidence: 99%

Preparation of inverted medium and processing in the inverted medium

Zafarullah

Tian

Chang

et al. 2007

Journal of Luminescence

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Section: Simulationsmentioning

confidence: 99%

Preparation of inverted medium and processing in the inverted medium

Zafarullah

Tian

Chang

et al. 2007

Journal of Luminescence

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“…In our previous work, a theoretical model based on Maxwell-Bloch equations for generalized angled beam geometry with arbitrary phase modulation was presented [21,22]. The Bloch equations describe the rotation of the Bloch vector, representing the population inversion and the polarization of a two-level atom driven by an electric field [as illustrated in Fig.…”

Section: A Theoretical Model For Angled-beam Maxwell-bloch With Arbimentioning

confidence: 99%

“…The population relaxation, determined by the ͉2͘ lifetime, T 1 , and the coherence decay, determined by T 2 , should also be considered in the calculation. References [21] and [22] give more details on numerical solution of the Maxwell-Bloch equations for two-level system under various assumptions.…”

Section: A Theoretical Model For Angled-beam Maxwell-bloch With Arbimentioning

confidence: 99%

Frequency-chirped readout of spatial-spectral absorption features

et al. 2004

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This paper examines the physical mechanisms of reading out spatial-spectral absorption features in an inhomogeneously broadened medium using linear frequency-chirped electric fields. A Maxwell-Bloch model using numerical calculation for angled beams with arbitrary phase modulation is used to simulate the chirped field readout process. The simulation results indicate that any spatial-spectral absorption feature can be read out with a chirped field with the appropriate bandwidth, duration, and intensity. Mapping spectral absorption features into temporal intensity modulations depends on the chirp rate of the field. However, when probing a spatial-spectral grating with a chirped field, a beat signal representing the grating period can be created by interfering the emitted photon echo chirped field with a reference chirped field, regardless of the chirp rate. Comparisons are made between collinear and angled readout configurations. Readout signal strength and spurious signal distortions are investigated as functions of the grating strength and the Rabi frequency of the readout pulse. Using a collinear readout geometry, distortions from optical nutation on the transmitted field and higher-order harmonics are observed, both of which are avoided in an angled beam geometry.

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“…Results of Bloch simulations, which also ignore propagation effects but do take material saturation into account, are also presented. To explore the effects of material saturation on echo efficiency and uniformity, numerical simulations based on the Maxwell-Bloch equations, 8,9 which include the effects of propagation of both the input and the output pulses in an optically thick medium, are briefly discussed. Finally, experimental results for an optically thick crystal that show the dependence of efficiency and uniformity on material saturation and propagation are presented.…”

Section: Introductionmentioning

confidence: 99%

Efficiency and uniformity considerations in optical coherent transient devices

Murray

Tian

et al. 2006

J. Opt. Soc. Am. B

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The efficiency and uniformity of photon echoes are investigated in optical coherent transient sequences using temporally overlapped linear frequency-chirped programming pulses. Distortions in the power spectrum of the programming pulses due to edge effects are found to cause fluctuations in echo efficiency as a function of echo time delay. Smoothing the edges of the programming pulse envelopes is found to significantly reduce distortion in the power spectrum of the pulses, which leads to echoes that are both more efficient and more uniform than those generated by pulses without smoothed edges. The effect of programming pulse strength on echo efficiency and uniformity is shown and discussed through simulations for an optically thin medium and through experiment in Tm 3+ : YAG at 4 K.

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Numerical modeling of optical coherent transient processes with complex configurations—I. Angled beam geometry

Cited by 14 publications

References 18 publications

Preparation of inverted medium and processing in the inverted medium

Preparation of inverted medium and processing in the inverted medium

Frequency-chirped readout of spatial-spectral absorption features

Efficiency and uniformity considerations in optical coherent transient devices

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