@mastersthesis {9995,
	title = {Soliton shedding from Airy pulse in Kerr media},
	year = {2012},
	type = {mastersMSc thesis},
	abstract = {An Airy pulse, a solution of the dispersion equation, manifests two unique properties\&nbsp;while propagating in linear media. One is self-similarity, meaning the pulse has the\&nbsp;same envelope throughout propagation in dispersive media and the second is\&nbsp;acceleration in time- namely moving in parabolic trajectory with respect to a time\&nbsp;frame that moves with the group velocity of the pulse.We simulate and analyze the propagation of truncated temporal Airy pulses in a\&nbsp;single mode fiber in the presence of self-phase modulation (Kerr effect) and anomalous\&nbsp;dispersion. Due to the presence of the nonlinear effect, the Airy is no longer a valid\&nbsp;solution, such that the pulse evolution is no more predictable.By gradually increasing the launched Airy power we examine the nonlinearity\&nbsp;influence on the Airy pulse evolution. For sufficient large launched intensity we\&nbsp;observe soliton pulse shedding from the Airy main lobe, with the emergent soliton\&nbsp;parameters dependent on the launched Airy pulse characteristics. The emergent soliton\&nbsp;performs "breathing"- periodic oscillations of its parameters along the propagation\&nbsp;distance due to interaction with background radiation, with the periodicity increasing\&nbsp;with the launched power. Additionally, the soliton mean temporal position shifts to\&nbsp;earlier times with higher launched powers due to an earlier shedding event and with\&nbsp;greater energy in the Airy tail due to collisions with the accelerating lobes. In spite of\&nbsp;the Airy energy loss to the shed Soliton, the Airy pulse continues to exhibit the unique\&nbsp;property of acceleration in time and the main lobe recovers from the energy loss\&nbsp;(healing property of Airy waveforms), but performs decaying oscillations of its peak\&nbsp;power according to the interplay between the dispersion and the nonlinear effect.The influence of the truncation coefficient{\textemdash}required for limiting the Airy pulse to\&nbsp;finite energy{\textemdash}on the Airy nonlinear propagation is also investigated. Small truncation\&nbsp;degree increases the Airy tail energy, which has considerable influence on the soliton\&nbsp;shedding distance, the soliton mean temporal position, and on the residual accelerating\&nbsp;energy.},
	url = {http://hufind.huji.ac.il/Record/HUJ001746332},
	author = {Yiska Fattal}
}
