scholarly journals Gaussian beam diffraction in free space

2013 ◽  
Vol 5 (1) ◽  
Author(s):  
Paweł Berczynski ◽  
Yury Kravtsov
Keyword(s):  
Gaussian Beam ◽  
Free Space ◽  
Beam Diffraction

Divergence of geometrical optics series at the boundary of its applicability: An analytical example in elementary functions (2D Gaussian beam in free space)

Open Physics ◽  
2006 ◽  
Vol 4 (1) ◽  
pp. 1-7 ◽  
Author(s):  
Yury Kravtsov ◽  
Stefan Buske
Keyword(s):  
Power Series ◽  
Gaussian Beam ◽  
Free Space ◽  
Geometrical Optics ◽  
Elementary Functions ◽  
Beam Diffraction

AbstractAn analytical example in elementary functions is presented (2D Gaussian beam diffraction in free space), which demonstrates the divergence of the geometrical optics (GO) series when the conditions for its applicability are violated. This example shows that accounting for higher terms in GO power series leads to divergence and therefore becomes completely useless beyond the boundaries of GO applicability.

scholarly journals Gaussian beam diffraction in inhomogeneous and logarithmically saturable nonlinear media

Open Physics ◽  
2012 ◽  
Vol 10 (4) ◽  
Author(s):  
Pawel Berczynski
Keyword(s):  
Gaussian Beam ◽  
Wave Front ◽  
Analytical Methods ◽  
Cylindrical Symmetry ◽  
Nonlinear Media ◽  
First Order ◽  
Self Focusing ◽  
Complex Curvature ◽  
Numerical And Analytical Methods ◽  
Beam Diffraction

AbstractThe method of paraxial complex geometrical optics (PCGO) is presented, which describes Gaussian beam (GB) diffraction and self-focusing in smoothly inhomogeneous and nonlinear saturable media of cylindrical symmetry. PCGO reduces the problem of Gaussian beam diffraction in nonlinear and inhomogeneous media to the system of the first order ordinary differential equations for the complex curvature of the wave front and for GB amplitude, which can be readily solved both analytically and numerically. As a result, PCGO radically simplifies the description of Gaussian beam diffraction in inhomogeneous and nonlinear media as compared to the numerical and analytical methods of nonlinear optics. The power of PCGO method is presented on the example of Gaussian beam evolution in logarithmically saturable medium with either focusing and defocusing refractive profile. Besides, the influence of initial curvature of the wave front on GB evolution in nonlinear saturable medium is discussed in this paper.

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