1971
DOI: 10.1080/00268977100100481
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Perturbation theory of the non-linear optical polarization of an isolated system

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Cited by 1,312 publications
(654 citation statements)
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“…where |g = |G |0 is the global ground state, |f is an excited state, Ω f g = ω f g − iΓ f is the complex frequency of the f ← g transition, defined in terms of the real transition frequency (ω f g ) and of the damping factor of the f state (Γ f ) 25 . The summation in the above equation runs on all excitations, including vibrational excitations (in the G-manifold) as well as vibronic excitations (in the E-manifold).…”
Section: Tpa Spectra Of the Da Dimer With Holstein Couplingmentioning
confidence: 99%
“…where |g = |G |0 is the global ground state, |f is an excited state, Ω f g = ω f g − iΓ f is the complex frequency of the f ← g transition, defined in terms of the real transition frequency (ω f g ) and of the damping factor of the f state (Γ f ) 25 . The summation in the above equation runs on all excitations, including vibrational excitations (in the G-manifold) as well as vibronic excitations (in the E-manifold).…”
Section: Tpa Spectra Of the Da Dimer With Holstein Couplingmentioning
confidence: 99%
“…We now focus on the linear and nonlinear optical properties of H-silsesquioxanes and report the results of calculations based on a combination of the intermediate neglect of differential overlap (INDO) and the configuration interaction (CI) methods coupled with sum-overstates (SOS) method. 9,10 This approach is demonstrated to be successful in calculating the optical properties of organometallic compounds and inorganic solid compounds. 11,12 To our knowledge, however, experimental or theoretical investigations of optical properties have not yet been reported for this class of polymers.…”
Section: Introductionmentioning
confidence: 99%
“…We carried out sum-over-state calculations, [37] in combination with Thomas-Kuhn sum rules analysis [38,39] to estimate the relevant values of b(À2w,w,w) and g(À2w,w,w,0), where w is the photon frequency for JR1 and di-4-ANEPPS at the wavelength of our experiments (850 nm; see the Supporting Information). These two molecules have similar b values at 850 nm, whereas g is substantially larger in the porphyrin dye, thus giving calculated field sensitivities of DS/S of 5.5 % for Table 1.…”
Section: Methodsmentioning
confidence: 99%