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The nonlinear contribution to the phase mismatch can be shown to be given by (γ1+2γ21-2γs1-2γi1)P1+(γ2+2γ12- 2γs2-2γi2)P2, where γ1 and γ2 result from self-phase modulation and the remaining γ terms correspond to various cross-phase modulation contributions. It may be shown that for the sources considered in this paper, the following represent valid approximations: γ1≈γ 21≈γs1≈γi1 and γ2≈γ12≈γs2≈γ i2. Under these approximations, we arrive at Eq. (9).
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The nonlinear contribution to the phase mismatch can be shown to be given by (γ 1 + 2 γ 21 - 2 γ s 1 - 2 γ i 1) P 1 + (γ 2 + 2 γ 12 - 2 γ s 2 - 2 γ i 2) P 2, where γ 1 and γ 2 result from self-phase modulation and the remaining γ terms correspond to various cross-phase modulation contributions. It may be shown that for the sources considered in this paper, the following represent valid approximations: γ 1 ≈ γ 21 ≈ γ s 1 ≈ γ i 1 and γ 2 ≈ γ 12 ≈ γ s 2 ≈ γ i 2. Under these approximations, we arrive at Eq. (9).
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Note that while γ1 and γ2 are related to cross- and self-phase modulation effects, γ governs the SFWM interaction.
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