Two conventional errors in the stress-induced birefringence (SIB) of polarization-maintaining fibers (PMFs) are revealed and corrected. The first issue refers to fundamental expression its calculation SIB, which depends on selection stress components. There were obvious inconsistencies two pioneering reports, while both widely applied subsequent works. second is basic form Airy function (ASF) c...

We analyze axisymmetric deformations of a rotating disk with its thickness, mass density, thermal expansion coefficient and shear modulus varying in the radial direction. The disk is made of a rubberlike material that is modeled as isotropic, linear thermoelastic and incompressible. We note that the hydrostatic pressure in the constitutive relation of the material is to be determined as a part ...

Sliding-frequency filter systems are known to admit two families of accelerating solitons: high-amplitude and low-amplitude families. Such equilibrium solutions are computed here, for a wide range of filter strengths, as self-similar solutions having Airy function asymptotics. In a limited parameter region, the profile possesses a secondary small hump. The high-amplitude solitons are found to b...

We present a numerical study of the giant Goos-Hänchen shifts (GHSs) obtained from an Airy beam impinging on a nonlinear interface. To avoid any angular restriction associated with the paraxial approximation, the analysis is based on the nonlinear Helmholtz equation. We report the existence of nonstandard nonlinear GHSs displaying an extreme sensitivity to the input intensity and the existence ...

We derive integral formulas, involving the Airy function, for moments of the time a two-sided Brownian motion with parabolic drift attains its maximum.

The objective of this paper is the computation Airy stress function a two-layer composite beam with interlayer slip. For calculation upper and lower layer functions an iterative solution procedure from Boley-Tolins adapted, which was originally introduced for isotropic single beams under plane assumptions. Considering continuity equations interface stress, vertical deflection linear law between...