TY - JOUR
T1 - Breathing and beating dynamics of Gaussian beam in planar graded-index absorbing nonlinear waveguides
AU - Ianetz, D.
AU - Kaganovskii, Yu
AU - Wilson-Gordon, A. D.
PY - 2012/8/1
Y1 - 2012/8/1
N2 - The spatial dynamics of laser beams in absorbing planar waveguides with a parabolic index profile in a saturable or cubic-quintic medium are calculated using the "collective variable approach" technique. In the absence of losses, we construct diagrams which define regions of self-focusing and self-diffractive beam propagation for both types of media. It is found that propagating pulses exhibit an oscillatory pattern, similar to breathing behavior in homogeneous media. If the incident pulse spatial profile and the center of the index profile are not aligned, the pulse oscillates around the index origin with a beat frequency that depends on the graded index. Both the breathing and the beat frequencies are also calculated for other graded-index profiles, such as those with additional higher-power terms, and are found to be extremely sensitive to the index profile. In media with linear and nonlinear absorption, we demonstrate the difference between the breathing behavior in graded-index and homogeneous waveguides.
AB - The spatial dynamics of laser beams in absorbing planar waveguides with a parabolic index profile in a saturable or cubic-quintic medium are calculated using the "collective variable approach" technique. In the absence of losses, we construct diagrams which define regions of self-focusing and self-diffractive beam propagation for both types of media. It is found that propagating pulses exhibit an oscillatory pattern, similar to breathing behavior in homogeneous media. If the incident pulse spatial profile and the center of the index profile are not aligned, the pulse oscillates around the index origin with a beat frequency that depends on the graded index. Both the breathing and the beat frequencies are also calculated for other graded-index profiles, such as those with additional higher-power terms, and are found to be extremely sensitive to the index profile. In media with linear and nonlinear absorption, we demonstrate the difference between the breathing behavior in graded-index and homogeneous waveguides.
KW - Cubic-quintic medium
KW - Graded-index medium
KW - Saturating medium
KW - Self-diffracting regime
KW - Self-focusing regime
KW - Spatial solitons
UR - http://www.scopus.com/inward/record.url?scp=84862001461&partnerID=8YFLogxK
U2 - 10.1016/j.optcom.2012.04.032
DO - 10.1016/j.optcom.2012.04.032
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AN - SCOPUS:84862001461
SN - 0030-4018
VL - 285
SP - 3636
EP - 3641
JO - Optics Communications
JF - Optics Communications
IS - 17
ER -