Recovery of the effect of the third-order dispersion and Raman self-frequency shift on polarization modes of optical pulses in birefringent fibers using temporal and spectral optical phase conjugation

2005 ◽  
Author(s):  
Weicheng Chen ◽  
Wencheng Xu ◽  
Jianing Xie ◽  
Hong Lu ◽  
Hui Cao
Keyword(s):  
Frequency Shift ◽  
Phase Conjugation ◽  
Optical Phase Conjugation ◽  
Optical Pulses ◽  
Third Order ◽  
Optical Phase ◽  
The Third ◽  
Third Order Dispersion ◽  
Order Dispersion

Alignment of a petawatt-class pulse compressor with the third-order dispersion completely compensated

2016 ◽  
Vol 13 (5) ◽  
pp. 055302 ◽  
Author(s):  
Yanlei Zuo ◽  
Kainan Zhou ◽  
Zhaohui Wu ◽  
Xiao Wang ◽  
Na Xie ◽  
...  
Keyword(s):  
Third Order ◽  
Pulse Compressor ◽  
The Third ◽  
Third Order Dispersion ◽  
Order Dispersion

Lax pair, Darboux transformation and rogue-periodic waves of a nonlinear Schrödinger–Hirota equation with the spatio-temporal dispersion and Kerr law nonlinearity in nonlinear optics

2021 ◽  
pp. 2150451 ◽  
Author(s):  
Cheng-Cheng Wei ◽  
Bo Tian ◽  
Qi-Xing Qu ◽  
Su-Su Chen ◽  
Dan-Yu Yang
Keyword(s):  
Darboux Transformation ◽  
Periodic Wave ◽  
Lax Pair ◽  
Third Order ◽  
Periodic Wave Solutions ◽  
The Third ◽  
Third Order Dispersion ◽  
Wave Solutions ◽  
Minimum Amplitude ◽  
Order Dispersion

For a nonlinear Schrödinger–Hirota equation with the spatio-temporal dispersion and Kerr law nonlinearity in nonlinear optics, we derive a Lax pair, a Darboux transformation and two families of the periodic-wave solutions via the Jacobian elliptic functions dn and cn. We construct the linearly-independent and non-periodic solutions of that Lax pair, and substitute those solutions into the Darboux transformation to get the rogue-periodic-wave solutions. When the third-order dispersion or group velocity dispersion (GVD) or inter-modal dispersion (IMD) increases, the maximum amplitude of the rogue-periodic wave remains unchanged. From the rogue-dn-periodic-wave solutions, when the GVD decreases, the minimum amplitude of the rogue-dn-periodic wave decreases. When the third-order dispersion decreases, the minimum amplitude of the rogue-dn-periodic wave rises. Decrease of the IMD causes the period of the rogue-dn-periodic wave to decrease. From the rogue-cn-periodic-wave solutions, when the GVD increases, the minimum amplitude of the rogue-cn-periodic wave decreases. Increase of the third-order dispersion or IMD leads to the decrease of the period.

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