APPLICATION OF ADOMIAN'S METHOD TO NONLINEAR ABSORPTION

2006 ◽  
Vol 15 (02) ◽  
pp. 219-225 ◽  
Author(s):  
F. SANCHEZ ◽  
H. LEBLOND ◽  
M. BRUNEL ◽  
K. AÏT AMEUR
Keyword(s):  
Experimental Data ◽  
Nonlinear Equation ◽  
Plane Wave ◽  
Absorption Coefficient ◽  
Nonlinear Absorption ◽  
Photon Absorption ◽  
Two Photon Absorption ◽  
Two Photon ◽  
Two Photon Absorption Coefficient ◽  
Good Agreement

We use the method of Adomian to investigate the solution of the nonlinear equation giving the evolution of a plane wave in a medium exhibiting linear, two- and three-photon absorption. The second-order solution is in good agreement with numerical simulations. An effective two-photon absorption coefficient is conveniently defined to fit experimental data.

TWO- AND THREE-PHOTON NONLINEAR ABSORPTION IN As2Se3 CHALCOGENIDE GLASS: THEORY AND EXPERIMENT

2004 ◽  
Vol 13 (01) ◽  
pp. 7-16 ◽  
Author(s):  
F. SANCHEZ ◽  
G. BOUDEBS ◽  
S. CHERUKULAPPURATH ◽  
H. LEBLOND ◽  
J. TROLES ◽  
...  
Keyword(s):  
Photon Absorption ◽  
Nonlinear Material ◽  
Closed Form Expression ◽  
Two Photon Absorption ◽  
Two Photon ◽  
Simulation Based ◽  
Transmission Measurements ◽  
Two Photon Absorption Coefficient ◽  
Theoretical Results ◽  
Good Agreement

The absorption of a monochromatic plane wave in a medium exhibiting linear, two- and three-photon absorption is investigated theoretically. An approximate closed-form expression is derived for the optical intensity. An effective two-photon absorption coefficient is then defined. Using the theoretical results, the absorption coefficients from transmission measurements are determined. Experiment is done in a highly absorbing nonlinear material such as As 2 Se 3 to illustrate our theoretical results. Good agreement is found between experimental data and numerical simulation based on our model. Measurements of nonlinear coefficients characterizing the two- and three-photon absorption are given.

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