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0, so that the essentials of the following discussion are not affected. For example, Eq. (15) is unchanged. Also, because of the beam splitter’s thickness, there is a path difference between the reference and the probe, leading to the chirp difference between the two pulses. But this effect is negligibly small, so it is ignored in Eqs. (1)
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To compare the transmission change directly with DF, it is more appropriate to use ln(ΔT/T)/2 = -ΔK than ΔT/T, especially when ΔK is large. But we use ΔT/T in this paper because conventionally it has been used most frequently
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To compare the transmission change directly with DF, it is more appropriate to use ln(ΔT/T)/2 = -ΔK than ΔT/T, especially when ΔK is large. But we use ΔT/T in this paper because conventionally it has been used most frequently.
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84975648622
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From Eq. (29) it follows that for a two-level system the real and the imaginary parts of Δx(Ω) show the same dynamics as a function of τ for all Ω‘s. The assumption of the twolevel system in Subsection 3.A is based on this equation
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From Eq. (29) it follows that for a two-level system the real and the imaginary parts of Δx(Ω) show the same dynamics as a function of τ for all Ω‘s. The assumption of the twolevel system in Subsection 3.A is based on this equation.
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54
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84975596547
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Δφ(τ) of Fig. 3 of Ref. 8 shows a less sharp peak near zero delay than the present result in Fig. 12. This is because DFstd - RΔφ(τ) = ∫ T+ΔT T-ΔT dtπ (t,τ) was used previously instead of Δφ(τ) = π (t,τ), in Eqs. (B4) used here
-
Δφ(τ) of Fig. 3 of Ref. 8 shows a less sharp peak near zero delay than the present result in Fig. 12. This is because DFstd - RΔφ(τ) = ∫ T+ΔT T-ΔT dtπ (t,τ) was used previously instead of Δφ(τ) = π (t,τ), in Eqs. (B4) used here.
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84975648609
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To be strict, the results at the left and the right in the middle of Fig. 15 also do not satisfy the K-K relations, because they diverge to infinity as |Ω| → ∞, although conditions B are strictly satisfied together with the additional conditions because a hyperbolic-secant envelope is assumed for E(Ω). This means that the additional conditions are not sufficient but only necessary conditions
-
To be strict, the results at the left and the right in the middle of Fig. 15 also do not satisfy the K-K relations, because they diverge to infinity as |Ω| → ∞, although conditions B are strictly satisfied together with the additional conditions because a hyperbolic-secant envelope is assumed for E(Ω). This means that the additional conditions are not sufficient but only necessary conditions.
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65
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84975621474
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The chirped-pulse case is discussed in Refs. 49 and 50
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The chirped-pulse case is discussed in Refs. 49 and 50.
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84975595939
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Femtosecond continuum interferometer for transient phase and transmission spectroscopy
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Femtosecond phase spectroscopy of multi-level systems: Phthalocyanines
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