Dynamics of two-dimensional partially coherent beams and solitons in saturable nonlinear media

2000 ◽  
Author(s):  
E.D. Eugenieva ◽  
D.N. Christodoulides ◽  
D. Kip ◽  
C. Anastassiou ◽  
M. Segev
Keyword(s):  
Two Dimensional ◽  
Nonlinear Media ◽  
Partially Coherent ◽  
Coherent Beams ◽  
Partially Coherent Beams

scholarly journals Independently Controlling Stochastic Field Realization Magnitude and Phase Statistics for the Construction of Novel Partially Coherent Sources

Photonics ◽  
2021 ◽  
Vol 8 (2) ◽  
pp. 60
Author(s):  
Milo W. Hyde
Keyword(s):  
Coherent Beam ◽  
Optical Field ◽  
Stochastic Field ◽  
Partially Coherent ◽  
Second Moments ◽  
Coherent Beams ◽  
Gaussian Statistics ◽  
Simulated Field ◽  
Gaussian Moment ◽  
Partially Coherent Beams

In this paper, we present a method to independently control the field and irradiance statistics of a partially coherent beam. Prior techniques focus on generating optical field realizations whose ensemble-averaged autocorrelation matches a specified second-order field moment known as the cross-spectral density (CSD) function. Since optical field realizations are assumed to obey Gaussian statistics, these methods do not consider the irradiance moments, as they, by the Gaussian moment theorem, are completely determined by the field’s first and second moments. Our work, by including control over the irradiance statistics (in addition to the CSD function), expands existing synthesis approaches and allows for the design, modeling, and simulation of new partially coherent beams, whose underlying field realizations are not Gaussian distributed. We start with our model for a random optical field realization and then derive expressions relating the ensemble moments of our fields to those of the desired partially coherent beam. We describe in detail how to generate random optical field realizations with the proper statistics. We lastly generate two example partially coherent beams using our method and compare the simulated field and irradiance moments theory to validate our technique.

Propagation of partially coherent beams in longitudinally modulated graded-index fibers

2021 ◽  
Author(s):  
S. A. Wadood ◽  
K. Liang ◽  
G. P. Agrawal ◽  
T. D. Visser ◽  
C. R. Stroud ◽  
...  
Keyword(s):  
Graded Index ◽  
Partially Coherent ◽  
Coherent Beams ◽  
Partially Coherent Beams

scholarly journals Generation of partially coherent beams with controllable time-dependent coherence

2017 ◽  
Vol 56 (12) ◽  
pp. 1
Author(s):  
Ziyang Chen ◽  
Xudong Chen ◽  
Jixiong Pu ◽  
Sabino Chávez-Cerda
Keyword(s):  
Time Dependent ◽  
Partially Coherent ◽  
Coherent Beams ◽  
Partially Coherent Beams
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