Influence of the sum frequency on optically pumped parametric amplifiers |
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Authors: | Hans Haldemann |
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Affiliation: | 1. Inst. Angew. Phys., Universit?t, CH-3000, Bern, Switzerland
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Abstract: | Parametric traveling-wave interactions are calculated with the aid of a plane wave approximation, considering the 4 frequencies ω s , ω p , ω I =ω p ?ω s and ω Σ =ω p +ω s . Special attention is paid to the case where ω p ?ω s . Competition between parametric amplification and upconversion is studied as a function of phase matching and the results are illustrated by means of numerical examples. It is shown that parametric gain disappears if the linear combination of wave vectors, 2k p-kI-kΣ, vanishes. In this situation upconversion with power gain up to about (ω Σ /ω s )2 is possible. It is concluded that fork p?ks the sum frequency ω Σ can significantly influence parametric forward amplification but does not affect backward wave amplification. |
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