By Martin Wegener
With the beginning of the laser in 1960, the sphere of
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U/T2 and v˙ = ... − v/T2 . T2 is called the dephasing time or transverse relaxation time. 3 Carrier-Wave Rabi Flopping 33 magnetic resonance (NMR) [51, 52], where the components u and v of the Bloch vector correspond to the real space x and y-components of the magnetization. x and y are perpendicular (transverse) to the static magnetic field, which is usually oriented along the z-direction. , R /ω0 ≈ 1. We will encounter some famous examples from traditional nonlinear optics on the way and arrive at carrier-wave Rabi flopping.
Intuitively, this behavior arises from the enormous broadening of the peak centered around the third harmonic, which, at some point, exhibits a significant overlap with the resonance at ω/ω0 = 2 = /ω0 . This can indeed nicely be seen in Fig. 7(c). The resonance picks up this contribution and amplifies it by orders of magnitude. Short pulses quite obviously broaden the spectrum. Moreover, at large Rabi frequencies, higher and higher order contributions come into play (also see Fig. 8). For example, √ for a Gaussian laser pulse, the spectral width of the N -th order contribution scales as N (as discussed in Sect.
A SHG Eω0 (t) = E(t) crystal. Let us consider the resulting interference of the fundamental and the second harmonic with E2ω0 (t) ∝ E˜ 2 (t) cos(2ω0 t + 2φ) in frequency space. The Fourier transforms of the cosine-terms of the different electric field contributions have maxima at positive and at negative frequencies. As in Sect. 3, we focus on the measurable positive frequency components (corresponding to the minus sign in the exponent). 44) 2 2 = E˜ ω0 (ω) + E˜ 2ω0 (ω) + 2 |E˜ ω0 (ω) E˜ 2ω0 (ω) × cos(φ) .
Extreme Nonlinear Optics: An Introduction by Martin Wegener