2008
DOI: 10.1364/oe.16.010208
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Two-step four-photon absorption

Abstract: We report a theoretical investigation of effective four-photon absorption (4PA) process and propose a two-step 4PA model of three-photon- induced excited-state absorption (ESA). Based on three-level rate-equation theory, we find an analytical result for the effective 4PA coefficient that depends on the three-photon absorption (3PA) cross-section, excited-state photophysical properties, and laser pulse duration. We present the analytical theory of the z-dependent nonlinear transmission for straightforwardly yet… Show more

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Cited by 23 publications
(19 citation statements)
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References 41 publications
(37 reference statements)
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“…This model is similar to that used for threelevel two-step 4PA but includes simultaneously ESA from both excited singlet and triplet states. 14 The process of nonlinear absorption ͑NLA͒ in the system is described as follows. The system simultaneously absorbs three identical photons, promoting electrons from S 0 to S 1 .…”
mentioning
confidence: 99%
“…This model is similar to that used for threelevel two-step 4PA but includes simultaneously ESA from both excited singlet and triplet states. 14 The process of nonlinear absorption ͑NLA͒ in the system is described as follows. The system simultaneously absorbs three identical photons, promoting electrons from S 0 to S 1 .…”
mentioning
confidence: 99%
“…The complicated calculations of the electron inter-band excitation and relaxation are needed for the simulation of the absorption enhancement 41, 42 . However, instead of analysis complex equation system of electron concentration dynamics in the excited states, the simplified absorption model can be used 42 .…”
Section: Resultsmentioning
confidence: 99%
“…We name this process as DWA and Figure 1 illustrates an effective 3PA process of 2PA-induced ESA. In this case, the propagation equation of the pulse intensity is given by [16]:…”
Section: Theory and Fundamentalsmentioning
confidence: 99%