Volume 127, Number 6, September 2019
|Number of page(s)||5|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||04 November 2019|
Gaussian-type beams in longitudinally inhomogeneous, lens-like media. Gradual transition from waveguide to antiwaveguide
1 Nevinpat - St. Petersburg, Russia
2 St. Petersburg Department, Steklov Mathematical Institute - St. Petersburg, Russia
3 Institute of Mechanical Engineering RAS - St. Petersburg, Russia
4 MIREA - Russian Technological University - Moscow, Russia
Received: 9 July 2019
Accepted: 20 September 2019
We address propagation of paraxial Gaussian-type beam modes in longitudinally inhomogeneous axisymmetric lens-like media, with a specific case of a transition of waveguide into antiwaveguide. Higher-order modes are described in a unified manner using a so-called secondary parabolic equation. Analyzing a linear transition from waveguide to antiwaveguide where beams are described in terms of Airy functions, we conclude that the width of a localized Gaussian-type beam in inhomogeneous media can dramatically grow. This fact should be taken into account in numerical procedures employing summation of Gaussian beams.
PACS: 42.25.Bs – Wave propagation, transmission and absorption
© EPLA, 2019
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