Title:

Gaussian beam diffraction in inhomogeneous media of cylindrical symmetry

Group publication title:

Optica Applicata

Creator:

Bereczyński, Paweł ; Kravtsov, Yuri A. ; Żegliński, Grzegorz

Contributor:

Gaj, Miron. Redakcja ; Urbańczyk, Wacław. Redakcja

Subject and Keywords:

optyka ; Gaussian beam diffraction ; paraxial complex geometrical optics ; inhomogeneous media of cylindrical symmetry

Description:

Optica Applicata, Vol. 40, 2010, nr 3, s. 705-718

Abstrakt:

The method of paraxial complex geometrical optics (PCGO) is presented, which describes Gaussian beam (GB) diffraction in smoothly inhomogeneous media of cylindrical symmetry, including fibers. PCGO reduces the problem of Gaussian beam diffraction in 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 media as compared to the numerical methods of wave optics. For the paraxial on-axis Gaussian beam propagation in inhomogeneous fibers, we compare PCGO solutions with numerical results for finite differences beam propagation method (FD-BPM). The PCGO method is shown to provide over 100-times higher rate of calculation than FD-BPM at comparable accuracy. This paper presents PCGO analytical solutions for width evolution of cylindrically symmetric GB in quadratic graded-index fiber, which is obtained in less complicated way comparing to the methods of wave optics. Besides, the influence of initial curvature of the wave front on GB evolution in graded-index fiber is discussed in this paper.

Publisher:

Oficyna Wydawnicza Politechniki Wrocławskiej

Place of publication:

Wrocław

Date:

2010

Resource Type:

artykuł

Source:

<sygn. PWr A3481II> ; click here to follow the link ; click here to follow the link

Language:

eng

Relation:

Optica Applicata ; Optica Applicata, Vol. 40, 2010 ; Optica Applicata, Vol. 40, 2010, nr 3 ; Politechnika Wrocławska. Wydział Podstawowych Problemów Techniki

Rights:

Wszystkie prawa zastrzeżone (Copyright)

Access Rights:

Dla wszystkich w zakresie dozwolonego użytku

Location:

Politechnika Wrocławska