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By Ji-Xin Cheng, Xiaoliang Sunney Xie

Idea concept of Coherent Raman Scattering, Eric Olaf Potma and Shaul MukamelCoherent Raman Scattering lower than Tightly concentrated stipulations, Eric Olaf Potma, Xiaoliang Sunney Xie, Andreas Volkmer, and Ji-Xin ChengPlatformsConstruction of a Coherent Raman Microscope, Brian G. Sarr and Xiaoliang Sunney XieStimulated Raman Scattering Microscopy, Christian Freudiger and Xiaoliang Sunney XieFemtosecond as opposed to Picosecond Read more...

summary: idea concept of Coherent Raman Scattering, Eric Olaf Potma and Shaul MukamelCoherent Raman Scattering below Tightly centred stipulations, Eric Olaf Potma, Xiaoliang Sunney Xie, Andreas Volkmer, and Ji-Xin ChengPlatformsConstruction of a Coherent Raman Microscope, Brian G. Sarr and Xiaoliang Sunney XieStimulated Raman Scattering Microscopy, Christian Freudiger and Xiaoliang Sunney XieFemtosecond as opposed to Picosecond Pulses for Coherent Raman Microscopy, Mikhail N. Slipchenko, Delong Zhang, and Ji-Xin ChengWide-Field autos Microscopy, Alexander Jesacher, Gregor Thalhammer, Stefan Bernet, and Monika R

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45) here ρ(n) is the nth order contribution in the electric field. 46) where k is Boltzmann’s constant. The perturbative expression of each of the components ρ(n) gets increasingly more complex with growing orders of n. It is, therefore, helpful to use alternative notation for writing these expressions in a more compact and insightful form. A common tool is the use of Liouville space operators, also known as superoperators. 49) To describe the coherent Raman interaction, we are interested in finding ρ(3), the density matrix contribution that is third order in the electric field.

6 Energy diagram of the four-level system discussed in the text. the system can make due to the perturbations induced by the applied fields ω1, −ω2 and ω1, and producing radiation at ωas. To gain physical insight into the form of χ(3), we need to adopt a model for the evolution of the density matrix operator, which in turn determines the functional form of the Green’s function propagator. The details of the propagation of the density matrix generally depend on the form of the system’s Hamiltonian.

The extend of the loss and gain scales with Im{χNL}, which describes the dissipative part of the interaction. 6 Semi-Classical Description: Quantum Matter and Classical Fields The fully classical model provides a qualitative description of the coherent Raman process in which the nuclear motion is described as a harmonic oscillator. A shortcoming of the classical model is that it does not recognize the quantized nature of the nuclear oscillations. The semi-classical model incorporates the quantum mechanical character of the material into the picture, whereas the description of the field remains classical and hence the name semi-classical.

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