Abstract
When beams at frequencies ω0 and 2ω0 are mixed in a medium with third-order nonlinearity χ(3) a pattern of dc polarization fringes Pdc(3) results whose grating vector is K = kso − 2kpo, where kpo(r) and kso(r) are the wave vectors at ω0 and ω0. In germanosilicate optical fibers, Pdc(3) breaks the centrosymmetry of the amorphous core material (possibly by color-center alignment), creating a periodically modulated χ(2) = χm(2)cos(K · r). This χ(2) structure automatically phase matches the fundamental light to its second harmonic (SH).1,2 Because the wave fronts of the participating beams do not have to be planar, the phenomenon may be labeled nonlinear holography.3 In a germanosilicate film waveguide, for example, a SH image beam at 2ω can be reconstructed, potentially with high efficiency, from a reference pump beam at ω ≈ ω0. Phase-matched degenerate parametric amplification of a complex signal wave front at ω is also possible, and in a ring cavity parametric oscillation would permit high-efficiency re-creation of a complex beam at ω.
© 1990 Optical Society of America
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