A numerical solver for rate equations and photon transport equations in nonlinear laser spectroscopy

Ehlert, J.; Stiel, H.; Teuchner, Klaus

doi:10.1016/s0010-4655(99)00450-6

Cited by 18 publications

(27 citation statements)

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“…The analysis of the nonlinear transmission data is based on the model presented in Figure S1, and the kinetic equations for the dynamics of the excited states corresponding to the model were solved numerically. [31] Pump and probe experiments: The transient excited-state spectra of Br 4 (tBu 2 C 6 H 3 O) 4 NcPb (1) were determined by means of the pump and probe technique. [3h, 27] In these experiments, the sample was excited with the same pulses as used for the measurements of nonlinear transmission at a frequency of 5 Hz.…”

Section: Spectroscopic Measurementsmentioning

confidence: 99%

“…Fitting the experimental data requires numerical solutions of the rate equations [Eqs. (2 a-d)] [31] with optimization of the parameters that are not available experimentally, namely k ISC , t S 1 , and t T 2 . Figure 8 shows the fitting curves as T vs log A C H T U N G T R E N N U N G (F in ) and F out vs F in , to evidence the quality of the fitting in low-and high-fluence regimes, respectively.…”

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confidence: 99%

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Tetrabrominated Lead Naphthalocyanine for Optical Power Limiting

Dini

Meneghetti

Calvete

et al. 2010

Chemistry A European J

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The complex 2,(3)-tetrabromo-3,(2)-tetra[(3,5-di-tert-butyl)phenyloxy]-naphthalocyaninato lead [Br(4)(tBu(2)C(6)H(3)O)(4)NcPb, 1] has been prepared and its optical limiting properties for ns light pulses have been measured. Complex 1 behaves as a reverse saturable absorber within the spectral range 440-720 nm with a limiting threshold of 0.1 J cm(-2) at 532 nm. The lifetime of the absorbing triplet excited state has been evaluated as 3.8 x 10(-7) s and the quantum yield of triplet formation has been measured as 0.07 in toluene. The nonlinear optical transmission properties of complex 1 have also been determined in Plexiglas [naphthalocyanine content: 5.0 x 10(-4) M (0.1% by weight)]. A reversible nonlinear absorption was again observed for a fluence above 0.4 J cm(-2), but through different excited-state dynamics. This may be rationalized in terms of aggregation of the molecule in the polymer matrix.

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Section: Spectroscopic Measurementsmentioning

confidence: 99%

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confidence: 99%

Tetrabrominated Lead Naphthalocyanine for Optical Power Limiting

Dini

Meneghetti

Calvete

et al. 2010

Chemistry A European J

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“…The optimization of the fitting parameters, not available from experiments, i.e., σ 1 , k ISC , τ S1 , and τ T2 (Figure 1), has been accomplished numerically. 23 Experimental data of nonlinear transmittance ( Figure 5) have been fitted (Figure 8) with the parameters values listed in Table 3. The same experimental data and their fitting curves are reported in Figure 8, parts a and b, as transmittance T () F out / F in ) versus log(F in ) and F out versus F in , respectively.…”

Section: Resultsmentioning

confidence: 99%

Indium Phthalocyanines with Different Axial Ligands: A Study of the Influence of the Structure on the Photophysics and Optical Limiting Properties

et al. 2008

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The photophysical properties of four axially substituted indium phthalocyanines, namely, 2,(3)-tetra- tert-butyl-phthalocyaninato indium chloride ( 1), 2,(3)-tetra-[(3,5-di- tert-butyl)-phenyloxy]-phthalocyaninato indium bromide ( 2), 2,(3)-tetra-[(3,5-di- tert-butyl)-phenyloxy]-phthalocyaninato indium iodide ( 3), and 2,3-octa-[(2-hexyl)-ethyloxy]-phthalocyaninato indium trifluoroacetate ( 4), have been investigated, and their optical limiting properties with nanosecond light pulses were evaluated. All complexes behave as reverse saturable absorbers in the range of 400-625 nm due to a triplet-triplet excited-state transition. Excited-state absorption cross sections and triplet state lifetimes are not significantly affected by the nature of the axial ligand. On the other hand, remarkable differences in the variation of nonlinear transmittance are observed for 1- 4 due to significantly different intersystem crossing rates. Heavier axial ligands in phthalocyanines 2 and 3 produce the largest variations of nonlinear transmission (heavy-atom effect). Complex 1 in polystyrene matrix shows reversible nonlinear absorption when incident fluence does not exceed 0.025 J cm (-2).

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“…. The description is obtained by fitting the experimental nonlinear transmission curve with a kinetic model for the excited state population dynamics, 36 namely, for the time dependent diagonal part of the density matrix. Quantum chemical calculations account for the main electronic states involved in the processes, in particular for the first excited pumped state.…”

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confidence: 99%

Large excited state two photon absorptions in the near infrared region of surprisingly stable radical cations of (ferrocenyl)indenes

Orian

Scuppa

Santi

et al. 2013

Phys. Chem. Chem. Phys.

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Multiphoton absorptions are important non-linear optical processes which allow us to explore excited states with low energy photons giving rise to new possibilities for photoinduced processes. Among these processes, multiphoton absorptions from excited states are particularly interesting because of the large susceptibilities characteristic of excited states. Here we explore the nonlinear transmission measurements recorded with 9 ns laser pulses at 1064 nm of the radical cations of (2-ferrocenyl)indene and of (2-ferrocenyl)-hexamethylindene, two interesting very stable molecules. The non-linear transmission data can be interpreted with a multiphoton sequence of three photon absorptions, the first being a one photon absorption related to the intramolecular charge transfer and the second a two photon absorption from the excited state created with the first process. The two photon absorption cross section is found to be several orders of magnitude larger than those usually found for two photon absorbing systems excited from the ground state.

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A numerical solver for rate equations and photon transport equations in nonlinear laser spectroscopy

Cited by 18 publications

References 0 publications

Tetrabrominated Lead Naphthalocyanine for Optical Power Limiting

Tetrabrominated Lead Naphthalocyanine for Optical Power Limiting

Indium Phthalocyanines with Different Axial Ligands: A Study of the Influence of the Structure on the Photophysics and Optical Limiting Properties

Large excited state two photon absorptions in the near infrared region of surprisingly stable radical cations of (ferrocenyl)indenes

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