Abstract

We present experimental results demonstrating the direct third harmonic generation (THG) in a periodically poled lithium niobate (ppLN) crystal. The method we propose relies on standard ppLN architecture (constant poling period) that is properly chosen to satisfy the quasi-phase matching (QPM) between the fundamental and the third harmonic wave. Neither the second harmonic generation (SHG) nor the sum frequency generation (SFG) optimization or their coupling is mandatory for cascaded THG. Indeed, in our approach, the SHG signal remains weak and only serves as "virtual state" to seed the THG that satisfies the overall QPM-THG condition. Numerical simulations reveal that under QPM-THG condition, SHG intensity has rapid spatial variations and its intensity remains weak along the propagation. The theoretical analysis shows that the adiabatic elimination of the second harmonic virtual state allows for an efficient THG, which is experimentally observed. Using this approximation, we show that the set of non-linear coupled wave equations reduce to an effective THG process.

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