title: Sawtooth grating-assisted phase-matching.
abstract: We show that a sawtooth phase-modulation is the optimal profile for grating assisted phase matching (GAPM). Perfect (sharp) sawtooth modulation fully corrects the phase-mismatch, exhibiting conversion equal to conventional phase matching, while smoothened, approximate sawtooth structures are more efficient than sinusoidal or square GAPM modulations that were previously studied. As an example, we demonstrate numerically optically-induced sawtooth GAPM for high harmonic generation. Sawtooth GAPM is the most efficient method for increasing the conversion efficiency of high harmonic generation through quasi-phase-matching, with an ultimate efficiency that closely matches the ideal phase-matching case.
authors.affiliation: Solid State Institute and Physics Department, Technion–Israel Institute of Technology, Haifa 32000, Israel. sidor@tx.technion.ac.il
authors.forename: Pavel
authors.initials: P
authors.lastname: Sidorenko
authors.forename: Maxim
authors.initials: M
authors.lastname: Kozlov
authors.forename: Alon
authors.initials: A
authors.lastname: Bahabad
authors.forename: Tenio
authors.initials: T
authors.lastname: Popmintchev
authors.forename: Margaret
authors.initials: M
authors.lastname: Murnane
authors.forename: Henry
authors.initials: H
authors.lastname: Kapteyn
authors.forename: Oren
authors.initials: O
authors.lastname: Cohen