Boyd's research interests are in
nonlinear optics,
photonics,
optical physics,
nanophotonics, and
quantum optics. Boyd has also been instrumental in developing other slow light methods such as stimulated
Brillouin scattering. and signal regeneration. He also came to the realization that slow light methods can be used to obtain enormous enhancements in the resolution of interferometric spectrometers, and he is currently working on the development of spectrometers based on this principle. As just one indication of the impact of Robert's work on slow and fast light, his Science paper the ability to impress many bits of information onto a single photon, and studies to identify the quantum or classical nature of coincidence imaging. This latter work has led the community to realize that classical correlations can at times be used to mimic effects that appear to be of a quantum origin, but using much simpler laboratory implementations.
Local field effects and the measurement of the Lorentz red shift Boyd has performed fundamental studies of the nature of local field effects in optical materials including dense atomic vapors. A key result of this work was the first measurement of the Lorentz red shift, a shift of the atomic absorption line as a consequence of local field effects. This red shift had been predicted by Lorentz in the latter part of the nineteenth century, but had never previously been observed experimentally. In addition to confirming this century-old prediction, this work is significant in confirming the validity of the Lorentz local-field formalism even under conditions associated with the resonance response of atomic vapors.
Development of composite nonlinear optical materials Boyd has taken a leading role in exploiting local field effects to tailor the nonlinear optical response of composite optical materials and structures. Along with John Sipe, he predicted that composite materials could possess a nonlinear response exceeding those of their constituents with important applications in photonic switching and sensing of biological pathogens.
Foundations of nonlinear optics Boyd has also made contributions to the overall growth of the field of nonlinear optics. Perhaps his single largest contribution has been in terms of his textbook
Nonlinear Optics. The book has been commended for its pedagogical clarity. It has become the standard reference work in this area, and thus far has sold over 12,000 copies. Moreover, in the 1980s he performed laboratory and theoretical studies of the role of
Rabi oscillations in determining the nature of
four-wave mixing processing in strongly driven atomic vapors. This work has had lasting impact on the field with one particular paper having been cited 293 times. ==Awards and honors==