Diffraction of terahertz waves after passing through a Fresnel lens

The spatiotemporal and spectral characteristics of ultrawide-band terahertz pulses after passing through a Fresnel lens are studied by using the scalar diffraction theory. The simulation shows that the transmitted terahertz waveforms compress with increasing propagation distance, and the multi-frequency focusing phenomenon at different focal points is observed. Additionally, the distribution of terahertz fields in a plane perpendicular to the axis is also discussed, and it is found that the diffraction not only induces focusing on-axis but also inhibits focusing at off-axis positions. Therefore, the Fresnel lens may be a useful alternative approach to being a terahertz filter. Moreover, the terahertz pulses travelling as a basic mode of a Gaussian beam are discussed in detail.

Heptad Phase Vortex Array in Extremely Deep Fresnel Diffraction Region Generated by Asymmetrical Metal Subwavelength Holes Film

We report a heptad vortex array structure in the wave fields in an extremely deep Fresnel diffraction region by asymmetrical subwavelength holes in a metal film illuminated with linearly polarized light. A Mach Zehnder interferometer with a microscopic objective is used to record the wave fields at different distance＆ and the phase maps are extracted by Fourier transform of the interference intensities. We study the evolutions of the heptad vortex array with distance from the sample to the object plane. To explain the formations and the evolutions of the vortex array, we calculate the diffracted wave fields with Kirchhoff＇s diffraction theory. The calculations are basically consistent with the experimental results, and the properties of the heptad vortex array structure are reasonably explained.

Diffractive multifocal intraocular lens implantation in patients with monofocal intraocular lens in the contralateral eye

AIM:To evaluate clinical outcomes of unilateral implantation of a diffractive multifocal intraocular lens(IOL)in patients with contralateral monofocal IOL.METHODS:Twenty-two patients who already had implantation of a monofocal IOL in unilateral eye underwent implantation of a diffractive multifocal IOL in contralateral eye were enrolled.After 1,6,and 12 mo,uncorrected and distant corrected distant visual acuity(UCDVA and DCDVA),uncorrected and distant corrected intermediate-visual acuity(UCIVA and DCIVA),uncorrected and distant corrected near visual acuity(UCNVA and DCNVA),and contrast sensitivity were obtained.Halo/glare symptoms,spectacle dependence,and patient satisfaction were also evaluated.RESULTS:The mean age was 67.86±7.25 y and the average interval between two IOL implantations was 645.82±878.44 d.At 1 mo,binocular UCDVA was lower than 0.20 logMAR in 76%of patients(mean 0.12±0.13 logMAR),which increased to 90%by 6 and 12 mo.The binocular UCDVA was significantly better than the monocular results(P<0.05)at 1,6,and 12 mo.Additionally,UCNVA was lower than 0.40 logMAR in 82%of patients,increasing to 90%by 6 and 12 mo.Mean UCNVA in the multifocal IOL implanted eye was statistically significantly better than that in the monofocal IOL implanted eye(P<0.05)at 1,6,and 12 mo.About 5%of patients at 1 and 6 mo,reported"severe glare or halo".Patient satisfaction rates were 95%and 91%at 6 and 12 mo,respectively.CONCLUSION:Unilateral implantation of multifocal IOL in patients with a contralateral,monofocal IOL implantation results in high patient satisfaction rate,with low severe glare or halo rate during follow-up.It can represent a good option for patients who have previously had a monofocal IOL implantation regardless of two year interval duration between two IOL implantations.

Rainbow halos occur less following implantation of extended range of vision one-piece intraocular lenses vs diffractive bifocal intraocular lenses

AIM:To evaluate clinical outcomes following implantation of an extended range of vision intraocular lens(IOL),the ZXR00,and a diffractive multifocal IOL with+2.75 diopters(D)add power,the ZKB00.METHODS:Totally 30 patients who underwent either bilateral implantation of the ZXR00 IOL with intended emmetropia(ZXR00 emmetropia group:20 eyes)and intended micromonovision(ZXR00 monovision group:20 eyes),or bilateral implantation of the ZKB00 IOL with intended emmetropia(ZKB00 group:20 eyes)were included in this study.Visual acuity at 4 m,80,and 40 cm;and the types of halos(misty,fine,and rainbow)were analyzed at one and three months after surgery.RESULTS:There were no significant differences in distance visual acuity among the three groups.The mean uncorrected intermediate visual acuity was better in the ZXR00 emmetropia and monovision groups(0.02 logMAR and 0.02 logMAR,respectively)than in the ZKB00 group(0.14 logMAR).The mean uncorrected near visual acuity was worse in the ZXR00 emmetropia group(0.26 logMAR)than in the ZXR00 monovision and ZKB00 groups(0.12 logMAR and 0.10 logMAR,respectively).There was an increased incidence of rainbow halos in the ZKB00 group vs in either ZXR00 group(P=0.033).CONCLUSION:Implantation of the ZXR00 IOL with intended micromonovision provide superior visual acuity than implantation of the ZXR00 IOL with intended emmetropia.The ZXR00 IOLs tend to show a lower incidence of rainbow halos than did the ZKB00 IOL.

Clinical outcomes of a new diffractive multifocal intraocular lens

AIM：To evaluate clinical outcomes after implantation of a new diffractive aspheric multifocal intraocular lens（IOL） with ＋3.00 addition power.METHODS：This is a retrospective,consecutive case series of cataract patients who underwent bilateral implantation of the Optiflex MO/HF D012（Moss Vision Inc.Ltd,London,UK） multifocal IOL.Patients followed for 6 mo were included in the study.Data on distance,intermediate and near visual acuity,refractive error [manifest spherical equivalent（MSE）],contrast sensitivity,adverse events,subjective symptoms,spectacle independence and patient satisfaction [visual function questionnaire（VFQ）-25 questionnaire] were retrieved from electronic medical records and analyzed.RESULTS：Forty eyes of 20 patients with a mean age of 66.7±8.5 y（range：53-82） were included in the study.Mean uncorrected distance,near and intermediate visual acuity remained stable through postoperative visits and was 0.19±0.19 log MAR,Jaeger 4 and Jaeger 3 respectively at the 6 mo visit.At the end of postoperative 6 mo,MSE was-0.14±0.42 diopters（D） and 98% of the eyes were within 1.00 D of target refraction.Postoperative low contrast（10%） visual acuity remained stable（P=0.54） through follow up visits with a mean of 0.35±0.17 log MAR at the 6 mo visit.There were no reported adverse events.None of the patients reported subjective symptoms of halo or glare.Spectacle independence rate was 90%.Mean VFQ-25 questionnaire score was 93.5±6.12.CONCLUSION：The Optiflex MO/HF-DO12 IOL was safely implanted and successfully restored distance,intermediate and near visual acuity without impairing contrast sensitivity.High levels of spectacle independence were achieved at all distances including intermediate distance.

Speckle reduction using phase plate array and lens array

In this paper,a solution for speckle reduction using phase plate array(PPA)and lens array(LA)in a motionless way is proposed.The specially designed PPA is composed of sub-phase plates,which are constituted by phase patterns formed by Hadamard sub-matrices.Each component of the proposed optical system should satisfy the stated relationships.The incident laser beam will be incoherent after passing through PPA,and superpose on the screen under the action of LA and main lens.Speckle reduction can be achieved by the averaging of the incoherent speckle patterns.Because of abandoning the mechanical movement,it will be suitable for laser displays and images.

A multi-photon(7×7)-focus 3D laser printer based on a 3D-printed diffractive optical element and a 3D-printed multi-lens array

One of the challenges in the field of multi-photon 3D laser printing lies in further increasing the print speed in terms of voxels/s.Here,we present a setup based on a 7×7 focus array(rather than 3×3 in our previous work)and using a focus velocity of about 1 m/s(rather than 0.5 m/s in our previous work)at the diffraction limit(40×/NA1.4 microscope objective lens).Combined,this advance leads to a ten times increased print speed of about 108 voxels/s.We demonstrate polymer printing of a chiral metamaterial containing more than 1.7×10^(12) voxels as well as millions of printed microparticles for potential pharmaceutical applications.The critical high-quality micro-optical components of the setup,namely a diffractive optical element generating the 7×7 beamlets and a 7×7 lens array,are manufactured by using a commercial two-photon grayscale 3D laser printer.

High-Throughput Powder Diffraction Using White X-Ray Beam and a Simulated Energy-Dispersive Array Detector

High-throughput powder X-ray diffraction(XRD)with white X-ray beam and an energy-dispersive detector array is demonstrated in this work on a CeO;powder sample on a bending magnet synchrotron beamline at the Shanghai Synchrotron Radiation Facility(SSRF),using a simulated energy-dispersive array detector consisting of a spatially scanning silicon-drift detector(SDD).Careful analysis and corrections are applied to account for various experimental hardware-related and diffraction angle-related factors.The resulting diffraction patterns show that the relative strength between different diffraction peaks from energy-dispersive XRD(EDXRD)spectra is consistent with that from angle-resolved XRD(ARXRD),which is necessary for analyzing crystal structures for unknown samples.The X-ray fluorescence(XRF)signal is collected simultaneously.XRF counts from all pixels are integrated directly by energy,while the diffraction spectra are integrated by d-spacing,resulting in a much improved peak strength and signal-to-noise(S/N)ratio for the array detector.In comparison with ARXRD,the diffraction signal generated by a white X-ray beam over monochromic light under the experimental conditions is about 104 times higher.The full width at half maximum(FWHM)of the peaks in q-space is found to be dependent on the energy resolution of the detector,the angle span of the detector,and the diffraction angle.It is possible for EDXRD to achieve the same or even smaller FWHM as ARXRD under the energy resolution of the current detector if the experimental parameters are properly chosen.

Large aperture phase-coded diffractive lens for achromatic and 16°field-of-view imaging with high efficiency

Diffractive lenses(DLs)can realize high-resolution imaging with light weight and compact size.Conventional DLs suffer large chromatic and off-axis aberrations,which significantly limits their practical applications.Although many achromatic methods have been proposed,most of them are used for designing small aperture DLs,which have low diffraction efficiencies.In the designing of diffractive achromatic lenses,increasing the aperture and improving the diffraction efficiency have become two of the most important design issues.Here,a novel phase-coded diffractive lens(PCDL)for achromatic imaging with a large aperture and high efficiency is proposed and demonstrated experimentally,and it also possesses wide field-of-view(FOV)imaging at the same time.The phase distribution of the conventional phase-type diffractive lens(DL)is coded with a cubic function to expand both the working bandwidth and the FOV of conventional DL.The proposed phase-type DL is fabricated by using the laser direct writing of grey-scale patterns for a PCDL of a diameter of 10 mm,a focal length of 100 mm,and a cubic phase coding parameter of 30π.Experimental results show that the working bandwidth and the FOV of the PCDL respectively reach 50 nm and 16°with over 8%focusing efficiency,which are in significant contrast to the counterparts of conventional DL and in good agreement with the theoretical predictions.This work provides a novel way for implementing the achromatic,wide FOV,and high-efficiency imaging with large aperture DL.

Analysis of the Focusing Characteristics of Double Negative Binary Diffractive Lens

For a compact millimeter wave imaging system it is very important to design every component into small size, for the components in a millimeter wave system are usually much larger than those in an optical imaging system due to rela-tively long wave lengths. In this paper, we suggest a kind of binary diffractive lens (BDL) designed using double nega-tive materials (DNG) as the objective lens for a millimeter wave imaging system. The DNG-BDL has not only the ad-vantage of low profile but also small f number, which will be benefit for constructing a compact millimeter wave imaging system. Several DNG-BDL are designed and analyzed using the FDTD method. The numerical results of the focal plane field of the DNG-BDL are presented, which show that the DNG-BDL with small f number has relatively better focusing characteristic than that of a double positive BDL with same f number.

Fabrication of Binary Diffractive Lenses and the Application to LED Lighting for Controlling Luminosity Distribution

We designed and fabricated two types of binary diffractive lenses using Electron beam lithography (EBL) on optical films film for controlling LED light. In the case of the binary diffractive convex lens with 2-mm focal length, it is possible to control the luminous intensity distribution. To improve the diffraction efficiency and realize a thin LED light source, the binary diffractive lenses with 100-μm-order focal length are effective. Furthermore we fabricated and characterized the binary diffractive concave lenses for application in LED lighting. It is found that white-light LEDs are strongly diffused by using the binary diffractive concave lenses.

Axilens透镜的设计、加工和实验

给出了一种用Axilens透镜产生线焦的方法。导出了Axilens透镜的面形微分方程及其近似解 ;对Axilens的衍射特性进行了理论分析和数值计算 ;分析了面形方程近似解的误差 ;给出了面形方程的傅里叶级数表达式 ;实验结果表明 ,所设计及直接用TaylorHobsonNanoform 30 0超精密车床制造的两个Axilens确实形成了所需的线焦。

An accurate design of graphene oxide ultrathin flat lens based on Rayleigh-Sommerfeld theory

Graphene oxide （GO） ultrathin flat lenses have provided a new and viable solution to achieve high resolution, high efficiency, ultra-light weight, integratable and flexible optical systems. Current GO lenses are designed based on the Fresnel diffraction model, which uses a paraxial approximation for low numerical aperture （NA） focusing process. Herein we develop a lens design method based on the Rayleigh-Sommerfeld （RS） diffraction theory that is able to unambiguously determine the radii of each ring without the optimization process for the first time. More importantly, the RS design method is able to accurately design GO lenses with arbitrary NA and focal length. Our design is experimentally confirmed by fabricating high NA GO lenses with both short and long focal lengths. Compared with the conventional Fresnel design methods, the differences in ring positions and the resulted focal length are up to 13.9% and 9.1%, respectively. Our method can be further applied to design high performance flat lenses of arbitrary materials given the NA and focal length requirements, including metasurfaces or other two-dimensional materials.

A STUDY OF HIGH FRAME RATE ULTRASONIC IMAGING WITH LIMITED DIFFRACTION BEAMS

Objective To investigate a new class of solutions to the isotropic/homogeneous scalar wave equation, which termed limited diffraction beams and realize ultrasonic 3D imaging. Methods Limited diffraction beams were derived. We performed the study of 3D pulse echo imaging with limited diffraction array beam. To obtain high frame rate images, a single plane wave pulse (broadband) was transmitted with the arrays. Echoes received with the same arrays were processed with Fourier method to construct 3D images. Results Compared with traditional pulse echo imaging, this method has a larger depth of field, high frame rate, and high signal to noise ratio. Conclusion The new method has prospect of high frame rate 3D imaging. In addition, the imaging system based this method is easily implemented and has high quality image.

An Electrically Scanned Lens Antenna for 2-D Scanning

An electrically scanned lens antenna for two dimensional scanning is presented. The antenna system is composed of a (N × 1) feed array, a binary diffractive dielectric lens (BDL) and a voltage-controlled ferroelectric lens (VCFL). The feeds at different offset foci of the BDL generate receiving beams pointing to different angles to perform beam scanning in one dimension;the VCFL made of ferroelectric slabs which show linear permittivity gradient when loaded with corresponding DC voltages generate linear phase shift to steer the beam in the other dimension.

Design of 2D-Bootlace Lens with Five Focal Feed for Multiple Beam Forming

Utility of microwave bootlace lens is well established. For broadband and wide scanning network, it is required to op-timize and use features of this lens for better communication and scanning device. This report presents the design of a compact 2D bootlace lens with five focal feed for multiple beam forming. This design will help in reducing phase error and will provide power efficiency and better resolution during target tracking. This design will provide better aperture efficiency and scanning angle.

Liquid crystal Fresnel lens display

A novel see-through display with a liquid crystal lens array was proposed.A liquid crystal Fresnel lens display（LCFLD） with a holographic screen was demonstrated.The proposed display system has high efficiency,simple fabrication,and low manufacturing cost due to the absence of a polarizer and color filter.

高边缘视场光学效率的衍射波导准直投影镜头设计

随着微型发光二极管(micro-light emitting diode,Micro-LED)微型图像源被应用于增强现实(augmented reality,AR)显示技术,AR显示系统朝着超小型化方向发展。然而Micro-LED图像源发光角度大,准直投影镜头要求体积小且像质高,其产生的渐晕现象也导致视场(field of view,FOV)边缘处光学效率低、照度不均匀,这对AR光学系统设计造成了挑战。为了解决上述问题,该文基于增加计算得到的非球面场镜,设计了一种照度均匀性高、边缘视场光学效率较高的衍射光栅波导准直投影镜头。对场镜理论进行详细分析,从而确定焦距区间,最终求解其面型参数,设计出照度相对均匀的镜头。设计的新型准直投影镜头对角线FOV为41.2°,F#为1.87,调制传递函数在125 lp/mm处大于0.5。仿真结果表明,系统照度均匀性相对提高了14%,边缘FOV的光学效率相对提高了15%,具有良好的成像性能,该镜头可应用于超小型AR衍射光栅波导头戴显示系统中。

衍射型Tecnis多焦点人工晶状体对高度近视白内障视觉质量及视功能的影响

目的探讨衍射型Tecnis多焦点人工晶状体对高度近视白内障病人视觉质量及视功能的影响。方法选择2020年7月至2022年6月新乡医学院第三附属医院收治的60例高度近视白内障病人,根据简单随机分组法将其分为Restor组30例,给予衍射型Restor多焦点人工晶状体;Tecnis组30例,予以衍射型Tecnis多焦点人工晶状体。对比两组治疗前后裸眼视力、最佳矫正视力(BCNVA)、离焦曲线及主客观视觉质量及视功能指数。结果术后1周和3个月,Tecnis组裸眼近视力(UCNVA)、裸眼远视力(UCDVA)、BCNVA分别为(0.61±0.13)logMAR、(0.46±0.11)logMAR、(0.46±0.12)logMAR、(0.24±0.06)logMAR、(0.23±0.05)logMAR、(0.23±0.07)logMAR,均优于Restor组的(0.68±0.14)logMAR、(0.55±0.13)logMAR、(0.57±0.15)logMAR、(0.33±0.08)logMAR、(0.30±0.07)logMAR、(0.31±0.08)logMAR(P<0.05),最佳矫正远视力(BCDVA)与Restor组比较差异无统计学意义(P>0.05);Tecnis组在-1.50~-5.00 D的离焦水平上的视力优于Restor组(P<0.05);Tecnis组客观散射指数(OSI)、斯特列尔比值(SR)、MTF截止空间频率(MTF cut off)、不同对比度视力(OV 9%、OV 20%、OV 100%)分别为1.77±0.36、0.17±0.05、25.35±3.98、0.78±0.16、0.83±0.19、0.85±0.18,均高于Restor组的1.59±0.31、0.14±0.04、23.28±3.52、0.71±0.14、0.73±0.16、0.75±0.15(P<0.05);Tecnis组阅读脱镜率、不同距离视物满意度与Restor组比较差异无统计学意义(P>0.05)。Tecnis组视功能指数(VF-14)评分为(87.56±4.37)分,高于Restor组的(84.38±4.22)分(P<0.05)。结论衍射型Tecnis多焦点人工晶状体能够明显改善高度近视白内障病人视觉质量,提高其视功能。

Compound diffractive telescope system:design,stray light analysis,and optical test

The compound diffractive telescope is a novel space optical system which combines the structure of compound eyes with diffractive optics and so it has a lighter weight, a wider field of view （FOV）, a lower cost as well as looser fabrication tolerance. In this paper, the design of a compound diffractive telescope composed of one primary lens and twenty-one eyepieces is introduced. Then the influence of diffraction orders on the performance of the system is analysed. A modified phase function model of diffractive optics is proposed to analyse the modulation transfer function （MTF） curves for 0° FOV, which provides a more accurate prediction of the performance of the system. In addition, an optimized mechanism is also proposed to suppress stray light. The star image and resolution tests show that the system can achieve diffraction limit imaging within ±2° of FOV and 4-4 mm of eccentricity. Finally, a series of pictures of an object are taken from different channels, and the splicing of pictures from adjacent FOVs is demonstrated. In summary, the designed system has been proved to have great potential applications.