Application of optical diffraction method in designing phase plates

Continuous phase plate(CPP),which has a function of beam shaping in laser systems,is one kind of important diffractive optics.Based on the Fourier transform of the Gerchberg-Saxton(G-S) algorithm for designing CPP,we proposed an optical diffraction method according to the real system conditions.A thin lens can complete the Fourier transform of the input signal and the inverse propagation of light can be implemented in a program.Using both of the two functions can realize the iteration process to calculate the near-field distribution of light and the far-field repeatedly,which is similar to the G-S algorithm.The results show that using the optical diffraction method can design a CPP for a complicated laser system,and make the CPP have abilities of beam shaping and phase compensation for the phase aberration of the system.The method can improve the adaptation of the phase plate in systems with phase aberrations.     

Sub wavelength multiple focal spot generation of high NA objective lens using diffractive optical element

In this article, based on the vector diffraction theory, the effect of specially designed phase modulating optical element by means of an incident tightly focused azimuthally polarized Bessel Gaussian beam in the focal region of high NA lens is investigated numerically. It is observed, that a specially designed diffractive optical modulation element (DOE) can generate multiple focal spot segment of transversely polarized in the focal region by controlling the angles of DOE. Such kind of sub wavelength transversely polarized focal spots segment may find wide applications in multiple optical traps and optical manipulation technology.     

折衍射混合复消色差望远物镜中的色球差

一个正透镜、一个负透镜及一个衍射光学元件以不同的组合可以构成两种折衍射混合光学系统.当这两种系统消球差、彗差及复消色差后会产生不同的色球差.通过赛德尔像差理论,分析了这两种结构产生不同色球差的原因.计算表明当衍射光学元件以负透镜的平面为基底时产生的色球差为以正透镜的平面为基底时产生的色球差的7倍.对衍射光学元件以负透镜的平面为基底的情形,提出了减小系统色球差的解决办法,使系统色球差减小到0.307 mm.另外设计了一个传统复消色差光学系统,并和折衍射混合光学系统进行了比较,分析表明,衍射光学元件可代替传统光学系统中的特殊光学材料并使系统达到相同的成像质量.最后讨论了衍射光学元件的衍射效率对系统成像质量的影响.     

Design and verification of diffractive optical elements for speckle generation of 3-D range sensors

The optical projection using speckles is one of the structured light methods that have been applied to three-dimensional (3-D) range sensors. This paper investigates the design and fabrication of diffractive optical elements (DOEs) for generating the light field with uniformly distributed speckles. Based on the principles of computer generated holograms, the iterative Fourier transform algorithm was adopted for the DOE design. It was used to calculate the phase map for diffracting the incident laser beam into a goal pattern with distributed speckles. Four patterns were designed in the study. Their phase maps were first examined by a spatial light modulator and then fabricated on glass substrates by microfabrication processes. Finally, the diffraction characteristics of the fabricated devices were verified. The experimental results show that the proposed methods are applicable to the DOE design of 3-D range sensors. Furthermore, any expected diffraction area and speckle density could be possibly achieved according to the relations presented in the paper.     

高数值孔径聚焦三维光链的研究

通过设计衍射光学元件对入射矢量光进行调制，在高数值孔径聚焦系统焦点附近产生沿光轴方向的三维多点光俘获结构——光链.并针对不同的入射矢量偏振、聚焦透镜的数值孔径以及衍射光学元件结构，对光链性能的影响分别进行了系统的分析，实现对该独特光俘获结构的可控性研究. 关键词： 衍射光学元件 矢量光 光镊     

Laser writing system for fabrication of diffractive optics elements

We report a laser writing system for fabrication of diffractive optical elements with He-Cd laser. The wavelength of the light source is 441.6 nm. The output beam is collimated into parallel light with uniform intensity distribution after passing through the spatial filter with a pinhole of 25μm and the collimating device. A microscopy objective lens with numerical aperture (NA) of 0.65 is used to focus the beam into a small diffraction spot. Any pattern can be written with this system. Experimental results are presented.The written gratings and the phase patterns were verified with a conventional optical microscopy and the Taylor Hobson equipment.     

一种用于高斯光束整形的衍折射光学元件的研究

由衍射光学元件（ＤＯＥ）和折射透镜组成的衍折射光学元件，用于较大功率密度和光束半径的高斯光束的聚焦。运用ＧＳ算法，用外围的ＤＯＥ产生一个偏移的高斯光束分布，与中心的折射透镜会聚后的高斯光束相干叠加在一个很小的聚焦圆内，在聚焦圆内的光强分布不平整度小于５％。给出了一个圆域基模高斯光束的整形分布，计算误差小于３．５％。     

Three-dimensional focus shaping with cylindrical vector beams

A three-dimensional focus shaping technique using the combination of cylindrical polarization with binary diffractive optical element is proposed. The energy density pattern at the vicinity of the focus can be tailored in three dimensions by appropriately adjusting the parameters of the cylindrical vector beam illumination, numerical aperture of the objective lens and the design of the binary diffractive optical element. Focus with extended depth of focus that has both transversal and longitudinal flattop profile is obtained. Optical bubble that has a total dark volume surrounded by high field distributions is also shown. Potential applications of this focus shaping technique are discussed.     

多色光大空间带宽积傅立叶变换透镜系统的设计

本文根据傅立叶变换透镜系统的像差要求，通过研究衍射器件的色差特性和初级像差特点，提出了多色光大空间带宽积的傅立叶变换透镜的系统结构。此系统采用无光焦度的衍射器件校正傅立叶变换主镜的球差，使系统得到最大空间带宽积；还采用谐衍射器件的设计方法，使系统可对多种相干光实现光学傅立叶变换。相对传统傅立叶变换系统而言，此衍射系统结构简单，性能好，可望在光学信息处理方面得到广泛的应用。     

菲涅耳区衍射光学束匀滑器件的设计

 采用精细化设计方法，进行了菲涅耳区衍射光学束匀滑器件的设计，利用爬山-模拟退火混合优化算法，获得了真实的束匀滑分布，不仅控制了算法采样点上的光强分布，还控制了其他非采样点上的光强分布。优化得到的束匀滑器件的位相深度小于π，易于后续加工。     

YG算法设计分数傅里叶变换衍射光学光束整形器件

针对分数傅里叶变换衍射光学光束整形器件,比较了按离散点与按菲涅耳积分计算得到的变换矩阵间的差距,从中分析得出按离散点计算的变换矩阵引入的离散化误差与分数傅里叶变换系统参数的关系.模拟计算结果表明,该离散化误差不能忽略.为了在输出面上得到真实的光强分布,应采用菲涅耳积分计算其变换矩阵.鉴于该变换矩阵非幺正,本文利用YG算法进行了光束整形器件的设计.     

Polarization and Color Separator Using Binary Phase Grating with Subwavelength Period

A data projector using three liquid crystal display panels has a complex optical system. The illuminating optics separate the beam from a light source into three primary colors and separate those into opposite polarizations using multi-layer films and prisms. A reflection grating with the period of subwavelength has high diffraction efficiency for p polarized light and high regularly reflectance for s polarized light. The diffraction angle of a grating largely depends on the wavelength, because a diffractive optical element (DOE) has large chromatic dispersion. The grating with the period of subwavelength can separate the unpolarized light into polarization components effectively using its polarization dependency and can separate white light into color components using its chromatic dispersion simultaneously. The grating makes the optical system simpler and smaller than those with conventional devices. In this paper the efficiency of polarization separation for the grating is calculated by a rigorous analytical method. Next, the condition for color separation is calculated by Snell#x0027;s law, and an optical system using a grating that performs polarization and color separation is proposed. Experimental results of the DOE fabricated are well matched with those of this simulation.     

柱透镜聚焦高阶Bessel光束产生焦散光束

研究了高阶Bessel光束经过柱透镜后的光场分布特性.在广义惠更斯-菲涅尔衍射积分理论基础上,推导出高阶Bessel光束透过柱透镜后的衍射光场分布表达式;并利用MATLAB和MATHCAD模拟了不同传播距离处的光强分布.实验上,利用轴棱锥和螺旋相位板产生不同阶数的高阶Bessel光束,并使产生的高阶Bessel光束经过柱透镜,最后用CCD记录下不同距离处的衍射光场.研究结果表明,高阶Bessel光束经过柱透镜形成唇状的焦散光束.     

Generation of optical vortex array based on the fractional Talbot effect

A phase-only diffractive optical element (DOE) for generating array of optical vortices with high compression ratio is presented. Since it is designed according to the fractional Talbot effect, we name the DOE optical vortex Talbot array illuminator (OVTAI). As an example, an OVTAI for generating a hexagonal array of optical vortices is designed, and demonstrated through displaying the OVTAI on a programmable liquid crystal spatial light modulator. The diffraction properties of the vortex array generated by the OVTAI are observed and analyzed, and an optimal distance for generating sharp ringed vortex arrays is given.     

Fabrication of a binary diffractive lens for controlling the luminous intensity distribution of LED light

To control the luminous intensity of an light-emitting diode (LED), we designed and fabricated a binary diffractive lens by electron beam lithography on a poly(ethylene terephthalate) (PET) film. We showed that it is possible to control luminous intensity distribution using the binary diffractive lens. To improve the diffraction efficiency, we then designed a binary blazed diffractive lens with a focal length of 140 mm. With a binary blazed diffractive lens having a focal wavelength of the order of micrometers, it is possible to create a small, thin light source for controlling the distribution of luminous intensity.     

Influence of spectral dispersion parameters on the beam smoothing performance of a diffractive optical element

In this paper, a theoretical model to analyze the beam smoothing performance, realized by the smoothing by spectral dispersion (SSD) and the diffractive optical element (DOE), is set up with the use of the spatial frequency spectra of the far-field intensity distribution. The influences of the parameters of the SSD, for example, the frequency of the electrical field, the integration time and the angular dispersion of the diffraction grating, on the beam smoothing performance of the DOE are numerically analyzed. Furthermore, the phase distortion is considered, and the simulated results show the phase distortion should be changed during the integration time in order to obtain a good performance of beam smoothing.     

Intensity control of the focal spot by vectorial beam shaping

A vectorial beam shaping algorithm is presented for the design of a phase-only diffractive optical element to achieve a given target intensity profile in the focal plane under tight focusing conditions. The underlying iterative optimization scheme is based on the Richards-Wolf vectorial diffraction theory and the Gerchberg-Saxton method, and is suitable for an arbitrary incoming polarization distribution, since only the magnitudes of the field vectors in the focal plane are reshaped. The efficiency of the method is numerically demonstrated for flat-top beam shaping examples of linear and circular incoming beam polarizations and square and circular flat-top region shape. A diffraction efficiency of 97.1% and a uniformity error of 4.8% were achieved in the case of focusing a Gaussian input beam onto a 50λ × 50λ square flat-top region with a 1.4-NA lens.     

Creation of a three-dimensional optical chain for controllable particle delivery

We propose a design for producing a conveyable quasi-periodic optical chain that can stably trap and deliver multiple individual particles in three dimensions at different planes near the focus. A diffractive optical element (DOE) is designed to spatially modulate the phase of an incoming radially polarized beam. For a tighly focused beam, a three-dimensional (3D) optical chain can be formed because of the difference in the Gouy phase shift from two concentric regions of the DOE. A desired number of particles can be stably tweezed one by one with individual 3D volumes in this trapping structure. By controlling the phase modulation of the incident beam, one can manipulate the interference pattern to accelerate and transport trapped particles along the optical axis in a prescribed way.     

实现Nd:YAG光束匀滑的衍射光学器件的研制

 采用爬山-模拟退火混合优化算法与旋转镂空掩模板工艺,针对基频光与三倍频光,设计并加工出口径80mm的连续位相衍射光学器件。在脉冲工作的Nd：YAG激光器上,实验研究了器件的光束匀滑性能,获得了与设计尺寸相符合、边缘陡峭、但包含较大顶部调制的光斑。初步验证了衍射光学器件在固体激光器光束匀滑上的应用可行性。     

Subwavelength beam manipulation via multiple-metal slits coupled by disk-shaped nanocavity

A novel plasmonic structure consisting of three nano-scaled slits coupled by nano-disk-shaped nanocavities is pro- posed to produce subwavelength focusing and beam bending at optical frequencies. The incident light passes through the metal slits in the form of surface plasmon polaritons （SPPs） ,and then scatters into radiation fields. Numerical simulations using finite-difference time-domain （FDTD） method show that the transmitted fields through the design example can gener- ate light focusing and deflection by altering the refractive index of the coupled nanocavity. The simulation results indicate that the focal spot is beyond the diffraction limit. Light impinges on the surface at an angle to the optical axis will add an extra planar phase front that interferes with the asymmetric phase front of the plasmonic lens, leading to a larger bending angle off the axial direction. The advantages of the proposed plasmonic lens are smaller device size and ease of fabrication. Such geometries offer the potential to be controlled by using nano-positior!i0g systems for applications in dynamic beam shaping and scanning on the nanoscale.