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1

Propagation properties of anomalous hollow vortex beam in uniaxial crystal orthogonal to the optical axis

Liu D., Wang Y., Wang G.

Optica Applicata

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2018

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Vol. 48, nr 1

95--104

EN

The analytical equation of an anomalous hollow vortex beam propagating in a uniaxial crystal orthogonal to the optical axis is derived, and the intensity and phase properties of this beam propagating in the uniaxial crystal are illustrated using numerical examples. The influences of topological charge M and the ratio of refractive index ne/no of a uniaxial crystal on the normalized intensity distribution and phase distribution for anomalous hollow vortex beam are discussed and analyzed in detail.

2

Evolution properties of multi-Gaussian Schell model beams propagating in uniaxial crystal orthogonal to the optical axis

Lu X., Shen Y., Zhu X., Zhao C., Cai Y.

Optica Applicata

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2016

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Vol. 46, nr 1

19--34

EN

An analytical formula for the multi-Gaussian Schell model is derived for the beam propagating in a uniaxial crystal orthogonal to the optical axis. The propagation properties of multi-Gaussian Schell model beams in a uniaxial crystal orthogonal to the optical axis is investigated by using the analytical formula. Some results are illustrated by numerical examples related to the propagation properties of multi-Gaussian Schell model beams. It is found that the propagation properties of the multi-Gaussian Schell model beams are very different from the propagation properties in the free space. They are closely related to the initial coherence and the ratio of the extraordinary and ordinary refractive indices. The results provide a way for studying the propagation properties of the multi-Gaussian Schell model beams in the uniaxial crystal orthogonal to the optical axis.

3

Astigmatic transformation of Bessel beams in a uniaxial crystal

Khonina S. N., Paranin V. D., Ustinov A. V., Krasnov A. P.

Optica Applicata

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2016

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Vol. 46, nr 1

5--18

EN

We investigate theoretically and experimentally the astigmatic transformations of Bessel beams at propagation perpendicularly to the c-axis of a uniaxial crystal. The analogy between this transformation and the astigmatic distortion of the plane wave by an inclined axicon is analytically shown. The influence of the polarization direction of radiation relative to the c-axis of a crystal on electric field components of the ordinary and the extraordinary beams is investigated.

4

Degrees of cross-polarization of a partially coherent electromagnetic beam in uniaxial crystals

Li J., Chen Y., Zhao Q., Zhou M.

Optica Applicata

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2010

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Vol. 40, nr 1

93--100

EN

Propagation of degrees of cross-polarization of a partially coherent electromagnetic beam in uniaxial crystals orthogonal to the optical axis is investigated. Based on the paraxial theory of beams, analytical propagation formulas for degrees of cross-polarization are derived and analyses are illustrated by numerical examples. It is found that values of the degree of cross-polarization in uniaxial crystals fluctuate more rapidly with larger deviation of correlation length parameters (?ij - ?ii), but show slight variation with larger ratio of refractive index (ne/n0) or incident beam wavelength. Results also show that sources with sufficient correlation length parameters generate invariable degree of cross-polarization in uniaxial crystals.