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In nonlinear optics, B-Integral is a measure of the nonlinear phase shift of light. It calculates the exponential growth of the least stable spatial frequency in a laser beam, and is the numerical equivalent of the nonlinear phase shift along the laser system's optical axis. In a multipass laser system as a cumulative measure of the nonlinear interaction, this integral is given by:

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  • B Integral (en)
  • B積分 (zh)
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  • B積分是在非線性光學中對於光非線性相位移的量測，是計算雷射光束中最不穩定空間頻率的指數成長程度，在數值上等效於延著雷射系統光軸的非線性相位移。 若用多通道的雷射系統來計算非线性相互作用的累计量，其積分為： 其中是延著光軸的光強度，在光束方向上的位置，是量測克爾非線性的非線性因子。因為是折射率的非線性變化，因此可以知道B積分是經過此設備通道上累計的非線性相位移。 B積分常用在超快放大器（ultrafast amplifier）上，像是中泡克耳斯盒之類的光學元件。 (zh)
  • In nonlinear optics, B-Integral is a measure of the nonlinear phase shift of light. It calculates the exponential growth of the least stable spatial frequency in a laser beam, and is the numerical equivalent of the nonlinear phase shift along the laser system's optical axis. In a multipass laser system as a cumulative measure of the nonlinear interaction, this integral is given by: (en)
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  • In nonlinear optics, B-Integral is a measure of the nonlinear phase shift of light. It calculates the exponential growth of the least stable spatial frequency in a laser beam, and is the numerical equivalent of the nonlinear phase shift along the laser system's optical axis. In a multipass laser system as a cumulative measure of the nonlinear interaction, this integral is given by: where is the optical intensity along the beam axis, the position in beam direction, and the nonlinear index quantifying the Kerr nonlinearity. As is the nonlinear change in the refractive index, one easily recognizes the B integral to be the total on-axis nonlinear phase shift accumulated in a passage through the device.The B integral is frequently used in the context of ultrafast amplifiers, e.g. for optical components such as the Pockels cell of a regenerative amplifier. (en)
  • B積分是在非線性光學中對於光非線性相位移的量測，是計算雷射光束中最不穩定空間頻率的指數成長程度，在數值上等效於延著雷射系統光軸的非線性相位移。 若用多通道的雷射系統來計算非线性相互作用的累计量，其積分為： 其中是延著光軸的光強度，在光束方向上的位置，是量測克爾非線性的非線性因子。因為是折射率的非線性變化，因此可以知道B積分是經過此設備通道上累計的非線性相位移。 B積分常用在超快放大器（ultrafast amplifier）上，像是中泡克耳斯盒之類的光學元件。 (zh)
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