We demonstrate a method for performing nonlinear microspectroscopy that provides an intuitive and unified description of the various signal contributions, and allows the direct extraction of the vibrational response. Three optical fields create a pair of Stokes Raman pathways that interfere in the same vibrational state. Frequency modulating one of the fields leads to amplitude modulations on all of the fields. This vibrational molecular interferometry technique allows imaging at high speed free of nonresonant background, and is able to distinguish between electronic and vibrational contributions to the total signal.For a number of decades much of the development of new coherent anti-Stokes Raman scattering (CARS) techniques has been focused on suppressing or eliminating the persistent nonresonant background that reduces contrast and can render experiments involving low concentrations of resonant oscillators impossible. Various methods developed so far include exploiting the polarization dependences of the resonant and nonresonant components of χ (3) [1][2][3][4][5], directly measuring [6][7][8] or extracting [9][10][11] the vibrational phase of the oscillators, shaping the phase of a broadband optical pulse to match that of the molecule [12][13][14][15], or introducing temporal delays to probe the resonant vibrational state after the nonresonant coherence has decayed [16,17].Recent work by Rahav and Mukamel [18] introduced a new paradigm regarding coherent Raman scattering experiments. Rather than operating in the common semiclassical field perspective, they focus on energy transfer from a molecular quantum mechanical point of view. The semiclassical approach of nonlinear optics assumes classical fields interacting with quantum matter. The detected mode is singled out from the outset and is described using the macroscopic Maxwell's equations. Heterodyne detection is viewed as an interference of the signal field with a local oscillator field, which makes it hard to establish connections between different experiments with the same pulse configuration where different modes are detected. The quantum description of heterodyne-detected four-wave mixing is much more transparent. We consider a steady state of the molecule with ground state |a〉 and vibrational state |c〉, and four modes of the radiation field (ω 1 − ω 2 = ω 4 − ω 3 = ω ca , with ω 2 < ω 1 and ω 3 < ω 4 ). The optical field modes are all far detuned from the lowest electronic excited state |b〉. All modes, including the local oscillator, are treated in the same © 2011 American Physical Society * To whom all correspondence should be addressed. h.l.offerhaus@utwente.nl. , is the interference of these two processes that yields the resonant component of the CARS signal, and is associated with the imaginary component of χ (3) . This resonant dissipative term involves energy that is transferred from the optical fields into the molecule. In addition to this dissipative term there is a nonresonant parametric component S par that is equivalent to the real ...