Focusing behavior of fresnel zone plates having various central phases

A point source focused by a Fresnel zone plate may interfere constructively or destructively with the undiffracted background. Fresnel zone plates with unusually small dark centers empirically lead to constructive interference.     

Comparison of subwavelength focusing properties of diffraction and Fresnel zone plate plasmonic planar lenses

The subwavelength focusing properties of diffractive plasmonic planar lenses (DPLs) and Fresnel zone plate plasmonic planar lenses (FZPs) have been compared in this paper. To that end, we use the same lens material, incident wavelength, thickness and focal length for comparison. Both DPLs and FZPs consist of central circular slits surrounded by transparent and opaque zones and can get clear focusing performances. By using the rigorous electromagnetic numerical method, the fields in the focal region are analyzed in detail, and our results demonstrate that FZP can generate higher transmission efficiency, and higher peak field intensity at the focal plane. Focusing polarization properties of the lens illuminated by linearly polarized state, are calculated and analyzed also. The numerical results show that both the DPL and the FZP produce asymmetrical focal spot distributions with a low f-number. To the FZP, the full-width at half-maximum (FWHM) varies from 256 nm (along y-axis) to 516 nm(along x-axis) and to the DPL, the FWHM varies from 256 nm(along y-axis) to 580 nm(along x-axis), respectively. But for a high f-number, the asymmetrical performance of the focal spot will be reduced due to complicated electromagnetical field interferences and micro waveguide effect. Otherwise, the DPL can get a higher depolarization effect than the FZP does.     

Focusing properties of the electric field between charged conical surfaces

The focusing properties of the electrostatic field between two charged conical surfaces are considered. An expression is obtained for the electric field intensity in the capacitor formed by two concentric circular cones with parallel generatrices. The equations of motion of an electron in such a capacitor are solved numerically, and it is shown that first-order focusing can be accomplished in it under specified conditions.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 35–40, October, 1981.     

Focusing properties of Gaussian beam with mixed screw and conical phase fronts

Vector diffraction theory is employed to investigate the focusing properties of the Gaussian beams with mixed screw and conical phase fronts. Numerical simulations show that the Gaussian beams with screw-conical phase fronts are different from both the ordinary Laguerre-Gaussian beams and the higher-order Bessel beams. Rather than forming the ring-shaped intensity distributions characteristic of optical vortices, focusing the Gaussian beams with screw-conical phase fronts produce non-symmetric spiral intensity distributions at the focal plane. The intensity distribution forms a counter-clockwise non-symmetric screw path around the focus. The rotation of intensity distributions was observed in the focal plane. The gradient force patterns of these beams focused with high NA are also investigated. The results show that the gradient force pattern shape depends principally on parameter topological charge n of the phase distribution. The gradient force pattern expands with increase in the parameter m of the phase distribution. Therefore, one can change the topological charge n or the parameter m of the phase mask to construct the tunable optical trap to meet different requirements. Its potential application might include rotational positioning of particles and accumulation of smaller non-symmetric particles towards the focus.     

Focusing surface plasmons on Er3+ ions through gold planar plasmonic lenses

Gold plasmonic lenses consisting of a planar concentric rings-groove with different periods were milled with a focused gallium ion beam on a gold thin film deposited onto an Er³⁺-doped tellurite glass. The plasmonic lenses were vertically illuminated with an argon ion laser highly focused by means of a 50× objective lens. The focusing mechanism of the plasmonic lenses is explained using a coherent interference model of surface plasmon-polariton (SPP) generation on the circular grating due to the incident field. As a result, phase modulation can be accomplished by the groove gap, similar to a nanoslit array with different widths. This focusing allows a high confinement of SPPs that can excite the Er³⁺ ions of the glass. The Er³⁺ luminescence spectra were measured in the far-field (500?C750?nm wavelength range), where we could verify the excitation yield via the plasmonic lens on the Er³⁺ ions. We analyze the influence of the geometrical parameters on the luminescence spectra. The variation of these parameters results in considerable changes of the luminescence spectra.     

On the critical behavior of (2 + 1)-dimensional QED

It is shown the analysis [1] for QED in (2 + 1) dimensions with N four-component fermions in the leading and next-to-leading orders of the 1/N expansion. As it was demonstrated in [1], the range of the admissible values N, where the dynamical fermion mass exists, decreases strongly with the increasing of the gauge charge. So, in Landau gauge the dynamical chiral symmetry breaking appears forN < 3.78, that is very close to the results of the leading order and in Feynman gauge dynamical mass is completely absent.     

Fourier-transform hologram by zone plate

A simple technique is described and demonstrated as well that Fourier-transform holograms can be made with a zone plate.     

Fresnel波带板编码成像技术

 介绍了Fresnel波带板编码成像原理,并设计出高空间分辨率的Fresnel波带板编码相机,用双孔可见光源对编码相机的成像进行了实验研究,表明该编码相机可以真实地还原源区的空间大小和形状。     

Focusing properties of the hyperbolic-cosine-Gaussian beam induced by phase plate

Focusing properties of hyperbolic-cosine-Gaussian beam induced by phase plate were investigated theoretically in this Letter. The phase plate consists of three concentric zones: center circle zone, inner and outer annular zones with 0, π, 0 phase variations, respectively. Numerical simulations show that the evolution of the focal shape is altered considerably by changing the radii of zones and the decentered parameters in cosh parts of the light beam. Increase inner radius of the outer annular zone, focal spot broadens along optical axis, splits into two peaks, and then the two peaks combine back into one peak. In this process, the focal depth increases and then decreases three times, so three focal depth peaks occur. And the distance between the two peaks for bigger inner radius of outer annular zone is very small. With decreasing decentered parameters in cosh part of the beam, position of the three focal depth peaks shift toward to small radius, and the peak values also fall simultaneously.     

Focusing of light by zone plates in Selfoc gradient-index lenses

We study the diffraction fields in a hybrid diffractive-gradient-index element composed of an amplitude zone plate and a quarter-pitch Selfoc gradient-index lens under uniform illumination. Focal positions of the diffractive orders and zone-plate diffraction efficiencies are measured, thereby validating the existing theoretical results.     

Focusing contribution of individual pinholes of a photon sieve:dependence on the order of local ring of underlying traditional Fresnel zone plate

<正>A photon sieve can be composed of a large number of circular pinholes.Each circular pinhole has a contribution to the focusing.For the case of point-to-point imaging,the focusing contribution of an individual circular pinhole can be analytically given.We investigate the dependence of the focusing contribution on the order m of local ring of underlying traditional Fresnel zone plate.In particular,we find that the focusing contribution is simply inversely proportional to the order m.We also present an intuitive explanation. These results are helpful for better understanding of the focusing property of photon sieves.     

Focusing properties of Gaussian beam by a nonspiral phase plate system

In this article, a nonspiral plate is investigated numerically by vector diffraction theory to observe the focusing properties of Gaussian beams. Both low- and high-numerical-aperture (NA) optical systems are considered in the investigation. It is found that the parameter of NA and the phase vary rate of the phase plate influence the focal intensity distribution considerably. When a nonspiral plate is used to provide linear phase variation on one half of the Gaussian beam, it may adjust the focal spot considerably and conveniently. Changing the vary rate of the phase plate or the parameter of NA can alter optical intensity distribution; some novel focal spots and focal switch may also occur.     

Generation of nanosize 3D dark spots with a light shell by plasmonic conical probe with metallic nano-rod

Nanosize three-dimensional (3D) dark spots with a light shell in enhanced local optical fields generated by a plasmonic metal-coated conical dielectric probe with a nano-rod are investigated numerically. The 3D dark spots are due to interference among plasmon-enhanced local fields. It is found that two kinds of 3D dark spots are generated in the free space in the vicinity of the nano-rod. One is generated near the rod end and has a disk shape. The other is generated around the nano-rod and has a toroidal shape. Both kinds of 3D dark spots have nanoscale dimensions, because they are generated by interference between near fields.     

Fresnel zone plate antennas at millimeter wavelengths

The performance characteristics of Fresnel zone plates are described with emphasis on applications at millimeter wavelengths. Recent results are included along with a summary from numerous earlier investigations. Parameters described include design information, efficiency, bandwidth, focal characteristics, off-axis performance, axial intensity dependence, aberrations, and far-field pattern. Both transmission and reflection configurations are discussed, mostly for cases where the focal length and diameter are comparable. This type of zone plate has advantages (compared to a lens or paraboloid) of reduced loss, weight, volume, and cost, as well as simple planar construction, with similar diffraction-limited beamwidth and major sidelobe performance, but lower efficiency.     

利用螺旋型波带片进行边缘增强成像

为了提高对等离子体内界面区域的诊断精度,研究了利用螺旋型波带片实现边缘增强成像的技术。制作了用于可见光波段的一阶螺旋型波带片,最外环宽度3 μm。利用螺旋型波带片对振幅式物体进行了边缘增强成像,实验获得了成像物体内边界区域的清晰图像,界面区域的成像强度得到很大增强。通过实验测量发现,当物距在菲涅耳衍射区域内时,螺旋型波带片也能够获取较好的成像质量,表明螺旋型波带片具有较大的视场角,能够对大尺度物体进行边缘成像。基于螺旋型波带片的边缘增强成像可以弥补传统成像方式对界面区域成像的不足,提高对等离子体内界面区域的诊断能力。