Theory of four-photon resonant vacuum-ultraviolet generation with reabsorption via resonant two-photon process

Abstract

Motivated by the recent experiments of Vallee et al. [IEEE J. Quantum Electron. QE-19, 1331 (1983)], we formulate the theory of the four-photon resonant VUV generation in a media that is positively dispersive. Dispersion characteristics of the medium change as the refractive index becomes intensity dependent. The phase-matching conditions for the third-harmonic generation through a five-photon process are derived. The blue shifts as observed by Vallee et al. are explained as due to the interaction of generated VUV via a two-photon process. Finally the renormalization of the fifth-order polarization due to the generated fields is also considered.