Generalized bloch equations for optical interactions in confined geometries

Abstract

By combining the field-susceptibility technique with the optical Bloch equations, a general formalism is developed for the investigation of molecular photophysical phenomena triggered by nanometer scale optical fields in the presence of complex environments. This formalism illustrate the influence of the illumination regime on the fluorescence signal emitted by a single molecule in a complex environment. In the saturated case, this signal is proportional to the optical local density of states, while it is proportional to the near-field intensity in the non-saturated case.

Analytical Formalism for the Interaction of Two-Level Quantum Systems with Metal Nanoresonators

“…Hereafter, we combine the recently developed quasinormal-mode (QNM) formalism [15,16] of plasmonic nanoresonators with the density-matrix formalism of two-level quantum systems [9,17,18] and propose a totally new formalism that removes most limitations encountered in previous analytical approaches and allows us to handle complex nanoresonator shapes in an almost fully analytically way. One just needs to calculate the fundamental QNMs of the nanoresonator, but once the QNMs are known for a given nanoresonator shape, the hybrid-system response is obtained with closed-form expressions for any driving laser frequency, quantum emitter locations, polarization, etc.…”

Chiral optical local density of states in a spiral plasmonic cavity

“…It is worth emphasizing that the NSOM images can be related to the partial LDOS maps only in the central region of the structure away from the grooves, where one can consider that the probe field remains constant and is not notably modified by the reflected SPs [40,41]. Eq.7 suggests that during the SP-light scattering process, the optical modes available for emission are constrained by an OAM selection rule, which allows only modal distributions with (σ S ) th and (σ S − 2σ ± ) th Bessel function orders.…”

Scanning plasmonic microscopy by image reconstruction from the Fourier space

“…(r)| 2 that depends on the local (incident+ reflected) field at the NV location (µ is a transition dipole). R is strongly affected by the environment in the vicinity of the nanostructure [24,25]. With our detection protocol only those emitted photons coupling directly to SPPs or scattered by the structure at θ ≃ θ LR are recorded and contribute to the signal shown in Fig.…”

“…3(d) is related to the fact that in our working regime we do not image the local photonic density-of-states at the emission wavelengths of the NV but the local excitation variation R(r) at λ ex = 515 nm. Since no SPP is excited at this wavelength no oscillation or fringe is expected to show up [24].…”