Beam propagation at an arbitrary angle in uniaxial crystals

Nawareg, Mohamed

doi:10.1364/josab.36.000470

Cited by 4 publications

(5 citation statements)

References 11 publications

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“…A good solution for this could be to consider a certain point in the plane and see the variation of the Stokes parameters for all propagation angles at this point. In such case, we do not need to plot all the four Stokes parameters as it is enough to plot only S 0 and the DOLP given by equation (22) to get all the information we need. These results are shown in figure 3, where S 0 and DOLP have been plotted at a point which lies at 10 √ 2 µm from the center of the beam.…”

Section: Resultsmentioning

confidence: 99%

“…In both curves, the fluctuation sensitivity decreases as a function of angles close to θ = 0 • and 90 • . Moreover, we should note that DOLP also gives information about the value of circularly polarized light represented by the Stokes parameter S 3 where any decrease in DOLP value must correspond to an increase of S 3 according to equations ( 23) and (22), and the relation between them is S 3 = ± 1 − DOLP 2 . The maximum value that DOLP can have is 1, which corresponds to total linearly polarized light, while DOLP= 0 means the light has pure circular polarization state.…”

Section: Resultsmentioning

confidence: 99%

“…It has been shown in [22] that equation (1) has in general two characteristic solutions, usually known as ordinary and extraordinary, which can be written, respectively, as follows:…”

Section: Paraxial Beam Propagation At An Arbitrary Angle In Uniaxial ...mentioning

confidence: 99%

“…To obtain the explicit form of equation ( 5), we can follow the method presented in [22]. According to this method, the derived ordinary and extraordinary components of the fields can be expressed as:…”

Section: Paraxial Beam Propagation At An Arbitrary Angle In Uniaxial ...mentioning

confidence: 99%

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Polarization-based transformations of linearly polarized quasi-Gaussian beams propagating in uniaxial crystals at an arbitrary angle

Albadry¹,

Nawareg²,

El-Din³

2021

J. Opt.

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Studying the polarization of paraxial beams propagating through uniaxial anisotropic crystals at an arbitrary angle is a powerful feature to extend the range of utilization of these crystals. In this paper, we derive a general theoretical model, based on the existing theory, to describe the transformations of polarization state in cases of arbitrary beam propagation. Stokes parameters are employed for the determination of polarization state of the light beam. The derived model is applied to a linearly polarized quasi-Gaussian beam propagating through rutile crystal. The dependence of the polarization state of the beam on many parameters such as beam waist, angle of propagation, and thickness of the crystal is investigated. The variation of each of these parameters leads to an extensive and interesting change of the polarization state. Moreover, the results are employed to observe the variations of the spin angular momentum as a function of the above-mentioned parameters. Furthermore, we report on an interesting result regarding the longitudinal component of the propagating field, where we noticed the existence of clearly non negligible values of this component for certain propagation parameters. The results of the current work are promising and can be utilized to obtain the best functioning of the output beam depending on its shape and polarization. In addition, they are promising for other future applications such as designing polarization-based devices which are useful in many fields.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

“…It has been shown in [22] that equation (1) has in general two characteristic solutions, usually known as ordinary and extraordinary, which can be written, respectively, as follows:…”

Section: Paraxial Beam Propagation At An Arbitrary Angle In Uniaxial ...mentioning

confidence: 99%

Section: Paraxial Beam Propagation At An Arbitrary Angle In Uniaxial ...mentioning

confidence: 99%

See 2 more Smart Citations

Polarization-based transformations of linearly polarized quasi-Gaussian beams propagating in uniaxial crystals at an arbitrary angle

Albadry¹,

Nawareg²,

El-Din³

2021

J. Opt.

Self Cite

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show abstract

“…media [9,10]. Based on this principle and vector diffraction theory, paraxial Gaussian beam propagation in uniaxial crystals has been described analytically [11][12][13]. The results of related work can briefly be summarized as follows: slowly varying amplitudes of the two eigenwaves satisfy uncoupled parabolic equations and interference of those components at arbitrary input polarization may result in significant transformations of the beam profile.…”

Section: Introductionmentioning

confidence: 99%

Optical beam diffraction tensor in birefringent crystals

Yushkov

Naumenko

2021

J. Opt.

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We demonstrate that anisotropy of Fresnel diffraction in a birefringent medium can be quantitatively characterized by a planar tensor. Eigenvectors of the tensor correspond to directions of minimum and maximum beam divergence. Zero eigenvalues exist for the slow eigenmode near the optic axis of biaxial crystals and correspond to autocollimated beam propagation along the cone of external conical refraction. Applications of the beam diffraction tensor are demonstrated for analysis of noncritical phase matching in acousto-optics and nonlinear three-wave mixing.

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General method based on WKB approximation and digital holography to characterize planar waveguides

Nawareg

El-Din

2021

J. Opt. Soc. Am. B

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Future optical technologies are basically depending on and employing different types of optical waveguides. The fabrication of waveguides with different properties represents an expanding direction in both the industrial and scientific fields. In the current paper, we focus on studying the polymeric planar waveguides fabricated by the method of UV–excimer–laser lithography. We propose a general technique based on the WKB approximation and digital holographic interferometry to characterize slab waveguides with arbitrary refractive index profile. The necessary theoretical model is derived and the characterization method given in detail. Two samples are fabricated from polymethylmethacrylate (PMMA) polymeric material using different parameters for the used UV-laser. Then a phase-shifting digital holographic technique with the help of a Mach–Zehnder-like interferometer, is used to characterize the samples and measure their modified refractive index profiles. The resulting profiles are then fed to the proposed theoretical model and a full TE mode analysis is obtained. These results prove the ability of the proposed technique to analyze planar waveguides having any complicated refractive index profile.

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Beam propagation at an arbitrary angle in uniaxial crystals

Cited by 4 publications

References 11 publications

Polarization-based transformations of linearly polarized quasi-Gaussian beams propagating in uniaxial crystals at an arbitrary angle

Polarization-based transformations of linearly polarized quasi-Gaussian beams propagating in uniaxial crystals at an arbitrary angle

Optical beam diffraction tensor in birefringent crystals

General method based on WKB approximation and digital holography to characterize planar waveguides

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