Highly efficient simultaneous second and third harmonic generation via /spl chi//sup (2)/ interactions in 1D-photonic band gap crystals

Summary form only given. Simultaneous second and third harmonic generation via a /spl chi//sup (2)/ interactions was first investigated theoretically by Akhmanov in 1964. He found that it was impossible to achieve simultaneous phase matching conditions for both the second harmonic process and the sum frequency generation in ordinary materials, and the process remains inefficient. Interest in nonlinear frequency conversion has increased thanks to a technique referred to as quasi-phase matching (QPM). QPM yields good conversion efficiencies for simultaneous multi-wavelength generation, thus reopening the challenge for the realization of compact, multicolor laser sources for laser scanners, printers, and color display devices. In this paper, we show that a photonic band gap (PBG) crystal can be used to achieve efficient, simultaneous, collinear second and third harmonic generation without the need for uniaxial crystals or periodic domain inversion, as required by QPM.