Distortions of pulse signal arising under action of linear and nonlinear birefringence in fiber-optical lines

A stochastic theory is developed for the light transmitting the optical media exhibiting linear and nonlinear birefringence. The starting point is the two-component nonlinear Schrödinger equation (NLSE). On the basis of the ansatz of “soliton” solution for the NLSE, the evolution equation for the Stokes parameters is derived, which turns out to be the Langevin equation by taking account of randomness and dissipation inherent in the birefringent media. The Langevin equation is converted to the Fokker–Planck (FP) equation for the probability distribution by employing the technique of functional integral on the assumption of the Gaussian white noise for the random fluctuation. The specific application is considered for the optical rotation, which is described by the ellipticity (third component of the Stokes parameters) alone: (i) The asymptotic analysis is given for the functional integral, which leads to the transition rate on the Poincaré sphere. (ii) The FP equation is analyzed in the strong coupling approximation, by which the diffusive behavior is obtained for the linear and nonlinear birefringence. These would provide with a basis of statistical analysis for the polarization phenomena in nonlinear birefringent media.

Download Full-text

Moderators of linear and nonlinear associations between religiosity, xenophobia, and tolerance toward immigrants in italy.

Psychology of Religion and Spirituality ◽

10.1037/rel0000223 ◽

2019 ◽

Vol 11 (4) ◽

pp. 399-407 ◽

Cited By ~ 4

Author(s):

Giovanni Piumatti ◽

Silvia Russo

Keyword(s):

Nonlinear Associations ◽

Linear And Nonlinear

Download Full-text

THE EXISTENCE AND UNIQUENESS THEOREMS OF THE LINEAR AND NONLINEAR RIEMANN–HILBERT PROBLEMS FOR THE GENERALIZED HOLOMORPHIC VECTOR OF THE SECOND KIND

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30392-8 ◽

1990 ◽

Vol 10 (2) ◽

pp. 185-199 ◽

Cited By ~ 9

Author(s):

Liede Huang

Keyword(s):

Existence And Uniqueness ◽

Uniqueness Theorems ◽

Existence And Uniqueness Theorems ◽

Linear And Nonlinear

Download Full-text

Parasitic element influence on laser driver performances for 1.3 μm fiber optical communication

Journal de Physique III ◽

10.1051/jp3:1993235 ◽

1993 ◽

Vol 3 (9) ◽

pp. 1751-1759 ◽

Cited By ~ 1

Author(s):

N. Hassaine ◽

K. Sauv ◽

A. Konczykowska ◽

R. Lefevre

Keyword(s):

Optical Communication ◽

Parasitic Element ◽

Laser Driver ◽

Fiber Optical ◽

Fiber Optical Communication

Download Full-text

Linear and Nonlinear Optical Properties of Natural Dyes Freestanding Films and Application in Optical Limiting

10.32792/utq/utjsci/vol7/2/30 ◽

2020 ◽

pp. 139-143

Keyword(s):

Absorption Coefficient ◽

Water Solution ◽

Optical Limiting ◽

Refraction Index ◽

Laser Wavelength ◽

Solid State Laser ◽

Natural Dyes ◽

Linear And Nonlinear ◽

532 Nm ◽

Absorbance Spectra

Natural dyes were followed and prepared from a pomegranate, purple carrot, and eggplant peel. The absorbance spectra was measured in the wavelength range 300-800 nm. The linear properties measurements of the prepared natural dye freestanding films were determined include absorption coefficient (α0), extinction coefficient (κ), and linear refraction index (n). The nonlinear refractive index n2 and nonlinear absorption coefficient β2 of the natural dyes in the water solution were measured by the optical z-scan technique under a pumped solid state laser at a laser wavelength of 532 nm. The results indicated that the pomegranate dye can be promising candidates for optical limiting applications with significantly low optical limiting of 3.5 mW.

Download Full-text

Rheological characterization of tack and viscoelasticity of compositions of crepe coating used in the Yankee dryer

TAPPI Journal ◽

10.32964/tj18.11.641 ◽

2019 ◽

Vol 18 (11) ◽

pp. 641-649

Author(s):

JOSHUA OMAMBALA ◽

CARL MCINTYRE

Keyword(s):

Normal Force ◽

Weight Ratio ◽

Good Combination ◽

Rheological Characterization ◽

Nonlinear Viscoelastic ◽

Coating Composition ◽

Linear And Nonlinear ◽

Work Done ◽

Tissue Production

The vast majority of tissue production uses creping to achieve the required set of properties on the base sheet. The Yankee coating helps to develop the desired crepe that in turn determines properties such as bulk and softness. The adhesion of the sheet to the Yankee surface is a very important characteristic to consider in achieving the desired crepe. The coating mix usually consists of the adhesive, modifier, and release. A good combination of these components is essential to achieving the desired properties of the tissue or towel, which often are determined by trials on the machine that can be time consuming and lead to costly rejects. In this paper, five compositions of an industrial Yankee coating adhesive, modifier, and release were examined rheologically. The weight ratio of the adhesive was kept constant at 30% in all five compositions and the modifier and release ratios were varied. The normal force and work done by the different compositions have been shown at various temperatures simulating that of the Yankee surface, and the oscillatory test was carried out to explain the linear and nonlinear viscoelastic characteristic of the optimal coating composition.

Download Full-text