Here, we review the design of optical cavities, transient
and modulated
responses, and theoretical models relevant to vibrational strong coupling
(VSC). While planar Fabry–Perot cavities remain the most common
choice for experiments involving vibrational polaritons, other choices
including plasmonic and phononic nanostructures, extended lattice
resonances, and wavelength-scale three-dimensionally confined dielectric
cavities have unique advantages, which are discussed. Next, we review
the nonlinear response to laser excitation of VSC systems revealed
by transient pump–probe and 2DIR techniques. The assignment
of various features observed in these experiments has been an important
topic with significant recent progress and controversy. The modulation
of VSC systems by various means such as ultrafast pulses and electrochemical
methods is also described. Finally, theoretical approaches to understanding
the physics and chemistry of VSC systems are reviewed with an eye
toward their applicability and usefulness. These fall into two main
categories: (1) solving for the eigenmodes of the system and (2) evolutionary
techniques including the transfer-matrix method and its generalizations.
The need for quantum optical methods of describing VSC systems is
critically evaluated in light of current experimental work, and we
discuss circumstances which necessitate consideration of the full
in-plane dispersion of the Fabry–Perot cavities.