Inhomogeneous Circular Waveguides

Sodha, M. S.; Ghatak, A. K.

doi:10.1007/978-1-4615-8762-0_5

Cited by 3 publications

(4 citation statements)

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“…It should be noted that a computer realization of all these methods requires first the development of an adequate physical-mathematical model of the waveguide scattering phenomenon. Moreover when analysing the waveguide light scattering in a PWG with a 3D-topology one needs to use a 3D-scattering theory [22][23][24] and to apply appropriate formulas for solving direct [24] and inverse 3D waveguide scattering problems. The best results can be obtained if a priori information on the object is known and the noise statistics is determined.…”

Section: Restoring Of the Autocovariance Functions Of The Surface Roumentioning

confidence: 99%

Correct investigation of the statistic irregularities of integrated optical waveguides with the use of the waveguide light scattering

Егоров

2004

Laser Phys. Lett.

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The phenomenon of the waveguide mode scattering in the irregular planar optical waveguide is investigated. The solution of the direct problem is fined with the help of the theory of perturbations. The inverse waveguide scattering problem consists in restoring of autocovariance function and determination of irregularities' parameters by the measuring data of scattering diagram in the far zone. The computer simulation allow approving, that our method permits to receive an approximate correct solution of the inverse problem with the rms error of restoring of the given autocovariance functions no more than 35% in the presence of high real noise (for SNR ≥ 1). The statistic parameters of irregularities in this case are determined with the error less than 15-30 %. Statistic characteristics of the real "white" noise (for one of the noise realizations) -autocovariance function

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Section: Restoring Of the Autocovariance Functions Of The Surface Roumentioning

confidence: 99%

Correct investigation of the statistic irregularities of integrated optical waveguides with the use of the waveguide light scattering

Егоров

2004

Laser Phys. Lett.

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“…We should mention here that for an infinitely extended parabolic index waveguide, the exact nonparaxial expression for Pmn is given by (see, e.g., Sodha and Ghatak 1977) pm,, = kilnl[l -2(m + n + l)g/kon~]'". ( 19)…”

Section: And Getmentioning

confidence: 99%

The harmonic oscillator problem and the parabolic index optical waveguide: II. Quantum mechanical and wave optical analyses

Sauter¹,

Ghatak²

1989

Eur. J. Phys.

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For pt.I see ibid., vol.10, p.136-43 (1989). In the preceding paper the authors used the Lagrangian formalism to show the close relationship between the classical mechanics of the harmonic oscillator and the ray optics of the parabolic index optical waveguide. The authors have now studied the corresponding quantum mechanical and wave optical problems and, in particular, have studied the time evolution of a coherent state and have shown its close relationship to the propagation of a Gaussian beam in a parabolic index optical waveguide. The corresponding transitions to classical mechanics and ray optics have been shown. The authors have also presented an analysis of the recently developed squeezed states and have shown its correspondence to the waveguide problem. They have demonstrated that the relationship between classical and quantum mechanics is the same as between ray optics and wave optics. All such analyses should be of considerable pedagogical value.

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“…Propagation of light beams in a graded-index medium is mainly investigated in the paraxial approximation. Both ray and wave optics are applied for the analysis of light propagation in graded-index media [15][16][17]. Effects of the polarization on the modes in lens-like media were analyzed in [16].…”

Section: Introductionmentioning

confidence: 99%

“…Both ray and wave optics are applied for the analysis of light propagation in graded-index media [15][16][17]. Effects of the polarization on the modes in lens-like media were analyzed in [16]. The influence of polarization on the phase of a propagating mode is investigated theoretically in [17].…”

Section: Introductionmentioning

confidence: 99%

Beam shift in a graded-index optical fiber

Petrov¹

2013

J. Opt.

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The influence of polarization of a light beam on its geometrical characteristics at propagation in a two-dimensional isotropic graded-index medium using the methods of coherent states is investigated. In a paraxial approximation taking into account the second order terms in a vector wave equation, the expressions for the trajectory and width of linearly and circularly polarized radiation are obtained. It is shown that the circular polarization leads to the rotation of the propagation plane of the meridional rays and additional rotation of sagittal rays, depending on the axial shift of the incident beam. Both circular and linear polarizations result in oscillations of the width of a light beam propagating in a graded-index fiber. In the case of linearly polarized light, the initially symmetric beam becomes elliptical with broadening in the direction of the polarization plane. Beam shifts or corrections with respect to geometrical optics caused by the scalar (nonparaxiality) and vector (polarization) wave effects are investigated.

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Inhomogeneous Circular Waveguides

Cited by 3 publications

References 0 publications

Correct investigation of the statistic irregularities of integrated optical waveguides with the use of the waveguide light scattering

Correct investigation of the statistic irregularities of integrated optical waveguides with the use of the waveguide light scattering

The harmonic oscillator problem and the parabolic index optical waveguide: II. Quantum mechanical and wave optical analyses

Beam shift in a graded-index optical fiber

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