Modified nodal point method for the measurement of the focal length of divergent lenses

The well-known nodal point method has been employed with some modification to measure the focal lengths of divergent lenses. In this modification, a telescope was used to locate precisely the nodal/principal point of the lens under test, and a travelling microscope was employed to locate precisely the focal point of the lens as well as to measure the focal distance. The accuracy of the measurement was found to be ± 0.5%, with the focal length of the order of about 10 cm.     

Design and fabrication of fluid controlled dynamic optical lens system

A novel small fluid controlled optical lens system that is capable of displaying dynamic variation of its focal length and field-of-view (FOV) is designed and fabricated. In this active lens system, appropriate volume of the optical fluid can be pumped into or out of the lens chamber to provide double-convex (DCX) or double-concave (DCV) lens effect. Simple optical imaging experiments were performed using different sets of glass lenses with fixed focal lengths to determine the optimum lens configuration required for designing a dynamic optical lens system. The experimental results obtained from the glass lenses demonstrate that a combination of a single DCX lens with three DCV lenses provides a wider FOV. The flexible membranes for fluid controlled lenses were fabricated using polydimethylsiloxane polymer material, which has good optical transparency and elasticity. A simple fluid injection system is used to vary the radius of curvature of the lenses, and thereby to change the focal length. A dynamic optical lens system with a combination of one DCX and multiple variable focal length DCV lenses as designed here can image an object with a wide range of focal length and FOV. With this fluid controlled optical system, the FOV and focal length could be continuously varied and a maximum FOV of 118.3° could be achieved. The smallest f-number (f_/#) for this fluid controlled single lens system was found to be 1.3, which corresponds to the numerical aperture value of 0.35.     

Interferometric focal length measurement of power-distributed lenses

An interferometric method for measuring the focal length of power-distributed lenses is described. The test lens is illuminated by a regular pitch interferometric pattern produced by a reflective diffraction grating interferometer. In order to measure the focal length, a CCD camera digitizes the image of the pattern magnified by the lens, and fast Fourier transformed to reconstruct the phase modulo 2π along each row. The change in spatial frequency is determined by unwrapping the phase along each row of the digitized imaged pattern. The technique is used for measuring the focal length distribution inside the progression corridor of both positive and negative progressive lenses.     

薄透镜组的焦点位于组合透镜两侧时应满足的条件

透镜组的焦距和焦点位置是透镜组的主要参数,本文通过对两薄透镜多种不同组合的讨论,总结出使组合透镜的焦点处在透镜组两侧需满足的条件．     

Measuring optical properties of an eye lens using magnetic resonance imaging

We compare the focal lengths of porcine lenses measured optically and by using a novel MRI technique. The geometric properties of the lenses were also measured and compared. The MRI technique exploits the dependence of both the lens refractive index and relaxation rates on the local protein concentration. By measuring the refractive index and corresponding values of R2 (=1/T2) for samples of lens homogenates with different protein concentrations, the dependence of refractive index on R2 was determined empirically. R2 maps, constructed from monoexponential fits to multiecho images of a slice through the lens containing the optical axis, were converted to refractive index maps using this relationship. A simulated ray trace through the refractive index map provided an estimate of lens focal length that was compared to a direct optical measurement of focal length using a laser ray-tracing method. It was found that the mean focal lengths estimated from the two techniques agreed within experimental uncertainty. The refractive index profile along the optical axis was found to be well described by a simple function of the form n=n0 + n1 x ra where r is the (normalized) lens radius.     

Design of a hybrid diffractive/refractive achromatized telecentric f·θ lens

The design of a hybrid diffractive/refractive achromatized telecentric f·θ lens with a field of view (FOV) 50° and an effective focal length of 750 mm is presented. The optical stop is placed at the front focal plane so that it is a telecentric system. The design is based on a traditional refractive counterpart, and the designed system consists of a hybrid diffractive/refractive lens and four refractive lenses. The designed f·θ lens shows a considerable reduction in weight with a simplified structure, and exhibits superior performance compared to the refractive system. It is emphasized that the designed f·θ lens can be applied to modern color scanning systems that operate in the visible wavelength range with high performance. It can also be applied to high-energy scanning systems. When applying the designed hybrid diffractive/refractive f·θ lens to the high-energy scanning system, a big laser operating in one longitudinal mode can be replaced by a small multi-mode laser, and the scanning system can be simplified greatly with the accuracy improved.     

Determination of focal length of large focal length convex lenses

In the determination of focal length of large focal length lenses, conventionally, a large length of optical bench is needed to accommodate the experimental set-up, and the measurements are associated with bench errors. In order to overcome these drawbacks, a simple method is suggested wherein the use of a plane mirror reduces the required length of the optical bench by nearly a factor of two and the bench errors are minimized with the use of a travelling microscope for the measurement of distances.     

全息透镜的焦距测量

本文首先给出了全息透镜像散成像的焦距公式,介绍了用全息光栅法测量全息透镜焦距的原理,对两块自制的全息透镜在原光路再现情况下测量了其焦距,并用另一种参数测量方法对测量结果进行了验证,两者基本相符。通过分别测量全息透镜两个焦距,从而可得出其像散大小。最后指出了使用这种方法应注意的问题。     

Effect of secondary lens concentrators on the output parameters of solar modules with cascade photovoltaic converters

The feasibility of increasing the concentration ratio and expanding the misorientation curve using secondary lens elements is considered for solar modules with triple-junction InGaP/GaAs/Ge photovoltaic converters and radiation-concentrating Fresnel lenses. Composite glass-silicone Fresnel lenses measuring 40 × 40 and 60 × 60 mm (plan view) with focal lengths of 70 and 110 mm, respectively, are used as primary concentrators. The focal length of secondary plane-convex glass lenses is varied from 5 to 25 mm. With the shortest-focal-length secondary lenses used, measurements of the parameters of the photovoltaic converter in a system with radiation concentrators that were made with a pulsed solar tester show the increase in the concentration ratio and the expansion of the misorientation curve by a factor of 2.5–3.0. The parameters of test modules with lens panels measured under solar illumination are found to be in good agreement with laboratory data.     

Focusing of longitudinal ultrasonic waves in air with an aperiodic flat lens

Modeling and experimental results of an ultrasonic aperiodic flat lens for use in air are presented. Predictive modeling of the lens is performed using a hybrid genetic-greedy algorithm constrained to a linear structure. The optimized design parameters are used to fabricate a lens. A method combining a fiber-disk arrangement and scanning laser vibrometer measurements is developed to characterize the acoustic field distribution generated by the lens. The focal spot size is determined to be 0.88 of the incident wavelength of 80-90 kHz at a distance of 2.5 mm from the lens. Theoretically computed field distributions, optimized frequency of operation, and spatial resolution focal length are compared with experimental measurements. The differences between experimental measurements and the theoretical computations are analyzed. The theoretical calculation of the focal spot diameter is 1.7 mm which is 48% of the experimental measurement at a frequency of 80-90 kHz. This work illustrates the capabilities of a hybrid algorithm approach to design of flat acoustic lenses to operate in air with a resolution of greater than the incident wavelength and the challenges of characterizing acoustic field distribution in air.     

Focal shift and focal switch of partially polarized Gaussian Schell-model beams passing through a system with the aperture and spherically aberrated lens separated

Based on the beam coherent-polarization (BCP) matrix approach and propagation law of partially coherent beams, the focal shift and focal switch of partially polarized Gaussian Schell-model (PGSM) beams passing through a system with the aperture and spherically aberrated lens separated is studied in detail. Our main attention is focused on the effect of spherical aberration and partial coherence on the focal shift and focal switch of PGSM beams. It is shown that for polarizer-free case there is no focal switch of PGSM beams, the focal shift of PGSM beams is closely related with spherical aberration coefficient C₄, auto-coherence length σ_a, truncation parameter δ and relative position s/f between the aperture and lens in general, and is independent of the cross-coherence length σ_c. After inserting a polarizer the focal switch can take place. Numerical calculation results are given to illustrate how the spherical aberration and partial coherence affect the focal shift and focal switch of PGSM beams.     

基于平行光管法的薄凸透镜焦距测量

薄凸透镜是光学仪器中最重要、最基本的元件,在天文、军事、医学等众多领域发挥着重要作用。焦距是薄透镜、反射镜等光学系统最重要的特性参量,因而准确测量薄透镜的焦距则显得尤为重要。实验室测量薄凸透镜焦距的方法有物距像距法、自准直法、光电法、平行光管法等。由于采用前3种方法测量透镜焦距的精度偏低,针对该问题,提出利用平行光管法测量薄凸透镜的焦距,并对实验误差作简单分析。实验结果表明,该方法可以高精度地测量薄凸透镜焦距,相对误差仅为0.138%。因此,采用平行光管法的薄凸透镜焦距测量方法是有效可行的。     

一款超薄800万像素手机镜头的设计

为了满足市场对超薄手机镜头的要求,运用光学软件CODEV,结合非球面理论,设计一款新的超薄800万像素手机镜头。该镜头由4片非球面塑料镜片,1片滤光镜片和1片保护玻璃组成,其中第1片透镜是正透镜,第2片镜片是负透镜,第3片镜片是正透镜,第4片镜片是负透镜,且光阑位于第1片透镜的前面。镜头光圈值F为2.4,视场角2为65.5,焦距为3.731 5 mm,后焦距0.31 mm,镜头总长度为4.6 mm,在最高频率1/2处大多数视场的MTF值均大于0.5,畸变小于2% 。     

High‐energy X‐ray optics with silicon saw‐tooth refractive lenses

Silicon saw‐tooth refractive lenses have been in successful use for vertical focusing and collimation of high‐energy X‐rays (50–100 keV) at the 1‐ID undulator beamline of the Advanced Photon Source. In addition to presenting an effectively parabolic thickness profile, as required for aberration‐free refractive optics, these devices allow high transmission and continuous tunability in photon energy and focal length. Furthermore, the use of a single‐crystal material (i.e. Si) minimizes small‐angle scattering background. The focusing performance of such saw‐tooth lenses, used in conjunction with the 1‐ID beamline's bent double‐Laue monochromator, is presented for both short (～1:0.02) and long (～1:0.6) focal‐length geometries, giving line‐foci in the 2 µm–25 µm width range with 81 keV X‐rays. In addition, a compound focusing scheme was tested whereby the radiation intercepted by a distant short‐focal‐length lens is increased by having it receive a collimated beam from a nearer (upstream) lens. The collimation capabilities of Si saw‐tooth lenses are also exploited to deliver enhanced throughput of a subsequently placed small‐angular‐acceptance high‐energy‐resolution post‐monochromator in the 50–80 keV range. The successful use of such lenses in all these configurations establishes an important detail, that the pre‐monochromator, despite being comprised of vertically reflecting bent Laue geometry crystals, can be brilliance‐preserving to a very high degree.     

Focal length measurement of a varifocal liquid lens with capacitance detection

This paper reports on a detailed deformation model of varifocal liquid lenses fabricated by Parylene-on-liquid-deposition (POLD), which can be applied to measure and adjust the focal length of such lenses without using extra sensors or sensing mechanisms. The lens was fabricated by encapsulating a liquid between a transparent electrode and a polymer film that was covered with a metal electrode. When voltage is applied to the two electrodes, the lens deforms due to the electrostatic force, and its focal length and the capacitance between the two electrodes change simultaneously. This characteristic enables the focal length of the lens to be adjusted and detected by measuring the capacitance change. The focal length of the fabricated varifocal liquid lens changed from 153.6 to 82.6 mm by applying 150-V. The focal length change of the liquid lens was calculated from the change in its capacitance. Finally, to confirm the efficiency of this varifocal liquid lens, we fabricated a confocal distance sensor using the lens for laser scanning and demonstrated that this system can be used to measure distances of 94–140 mm with an average error of 0.83 mm and a standard deviation of 0.77 mm.     

Refractive X‐ray shape memory polymer 3D lenses with axial symmetry

Parabolic 3D refractive lenses from shape memory polymers were manufactured and tested using monochromatic X‐rays of 10 keV. Four lenses in two sets with focal distances of about 6 and 4 m were used. The lens optical properties in terms of resolution, efficiency and gain were measured. The radiation stability test was performed. Copyright © 2012 John Wiley & Sons, Ltd.     

Fabrication of gradient refractive index ball lenses using the method of combination of ion exchanging and sagging

Based on the Fick’s diffusion equations, the distribution function of refractive index of a gradient refractive index ball lens (GRIN ball lens/GBL) is derived. Lithium containing silicate glass is fabricated and GRIN ball lenses (GBLs) which diameters are from 0.3 mm to 3.0 mm are made by the method of combination of Ion exchanging and sagging in sodium nitrate. Refractive index profiles of these GBLs are measured by interferometer, and the performances such as effective focal length (EFL), back focal length (BFL) and numerical aperture (NA) between GBLs and homogeneous ball lenses (HBLs) are compared. Results show that the distribution of the index of refraction is parabolic curve and its Δn is about 0.0002, the performances of the former are super to the latter.     

Aberration analyses for liquid zooming lenses without moving parts

Liquid lenses with an adjustable focal length are of particular interest for their potential applications in compact imaging or zooming systems. We have analyzed the aberrations for liquid zooming lenses and compared them with those of traditional lenses. Based on the 3rd order aberration theory, possible structures for the liquid zooming lens without moving mechanism were determined. We showed that a two-group liquid lens system is the simplest one that contains no moving mechanical parts and has enough parameters to correct all chromatic aberrations for any focal length and most monochromatic aberrations for certain focal lengths.     

傅里叶技术测量透镜焦距

介绍采用Fourier术测量透镜焦距的方法,通过测量Fourier变换面上功率谱的分布,计算出透镜焦距。文中对测量原理进行了理论分析,导出了焦距计算公式并给出了实验结果,同时对功率谱分布的探测方法进行了探讨。     

Focal length measurement based on Hartmann–Shack principle

A novel means of focal length measurement is proposed based upon Hartmann–Shack principle of wavefront detection. Mathematical approaches of focal length measurement are deduced without the necessity of knowing the position of lens principle plane. In experiment, laser sources with wavelength of 633 nm and 780 nm are separately used and focal length of three pieces of doublets is measured under two wavelengths mentioned above. As were shown by the results, this method of focal length measurement could not only accurately measure lens focal length, but also evaluate chromatic aberration of them. Since the intensity of light is detected by CCD, optical characteristics of lens beyond the range of visible light are also measurable when response range of CCD allows. This new means of focal length measurement is characterized by high accuracy, fast measuring and easy to setup, thereby, it is applicable in wide fields of area.