The research of optical windows used in aircraft sensor systems

Based on the Hermite-Gaussian expansion of the Lorentz distribution and the complex Gaussian expansion of the aperture function, an analytical expression of the Lorentz-Gauss vortex beam with one topological charge passing through a single slit is derived. By using the obtained analytical expressions, the properties of the Lorentz-Gauss vortex beam passing through a single slit are numerically demonstrated. According to the intensity distribution or the phase distribution of the Lorentz-Gauss vortex beam, one can judge whether the topological charge is positive or negative. The effects of the topological charge and three beam parameters on the orbital angular momentum density as well as the spiral spectra are systematically investigated respectively. The optimal choice for measuring the topological charge of the diffracted Lorentz-Gauss vortex beam is to make the single slit width wider than the waist of the Gaussian part.

Section: Introductionmentioning

confidence: 99%

Orbital angular momentum density and spiral spectra of Lorentz–Gauss vortex beams passing through a single slit

Zhou

2017

“…The properties of paraxial and non-paraxial propagations of the SLG 01 mode have been examined in free space. [11,12] The vectorial structure of the SLG 01 mode has been revealed in the far-field regime. [13] The characteristics of the average intensity and the effective beam size of the SLG 01 mode in turbulent atmosphere have been evaluated.…”

Section: Introductionmentioning

confidence: 99%

Characteristics of paraxial propagation of a super Lorentz—Gauss SLG ₀₁ mode in uniaxial crystal orthogonal to the optical axis

Zhou¹

2012

Analytical propagation expression of a super Lorentz-Gauss (SLG) 01 mode in uniaxial crystal orthogonal to the optical axis is derived. The SLG 01 mode propagating in uniaxial crystal orthogonal to the optical axis mainly depends on the ratio of the extraordinary refractive index to the ordinary refractive index. The SLG 01 mode propagating in uniaxial crystals becomes an astigmatic beam. The beam spot of the SLG 01 mode in the uniaxial crystal is elongated in the x-or y-direction, which is determined by the ratio of the extraordinary refractive index to the ordinary refractive index. With the increase of the deviation of the ratio of the extraordinary refractive index to the ordinary refractive index from unity, the elongation of the beam spot also augments. In different observation planes, the phase distribution of an SLG 01 mode in the uniaxial crystal takes on different shapes. With the variation of the ratio of the extraordinary refractive index to the ordinary refractive index, the phase distribution is elongated in one transversal direction and is contracted in the other perpendicular direction. This research is beneficial to the practical applications of an SLG mode.

“…[17] Based on the vectorial Rayleigh-Sommerfeld integral formulae, nonparaxial propagation properties of an SLG 01 beam have been evaluated in free space. [18] The fourth-order moment has been used to define the so-called kurtosis parameter. As the kurtosis parameter is employed to describe the flatness (or sharpness) degree of the beams, it is an important parameter to valuate the beam propagation.…”

Section: Introductionmentioning

confidence: 99%

Kurtosis parameters of super Lorentz—Gauss beams through a paraxial and real ABCD optical system

Zhou¹

2011

Based on the propagation equation of higher-order intensity moments, analytical propagation expressions for the kurtosis parameters of a super Lorentz-Gauss (SLG) SLG 01 beam through a paraxial and real ABCD optical system are derived. By replacing the parameters in the expressions of the kurtosis parameters of the SLG 01 beam, the kurtosis parameters of the SLG 10 and SLG 11 beams through a paraxial and real ABCD optical system can be easily obtained. The kurtosis parameters of an SLG 01 beam through a paraxial and real ABCD optical system depend on two ratios. One is the ratio of the transfer matrix element B to the product of the transfer matrix element A and the diffraction-free range of the super-Lorentzian part. The other is the ratio of the width parameter of the super-Lorentzian part to the waist of the Gaussian part. As a numerical example, the properties of the kurtosis parameters of an SLG 01 beam propagating in free space are illustrated. The influences of different parameters on the kurtosis parameters of an SLG 01 beam are analysed in detail.