Abstract: A method of adjusting a TRC of an image is provided. The method involves receiving an image at an input resolution, resampling the image to a processing resolution if the imput resolution and the processing resolution are not same, processing the image using rank-ordered error diffusion, and resampling the processed image to a desired output resolution for the image if the processing resolution and the output resolution are not same.

Abstract: Disclosed are methods of halftoning images having multiple color planes using error diffusion techniques, and incorporating both error information from the previously-processed color planes of a pixel, and error information from a previously process pixel of yet-to-be processed color planes.

Abstract: A method for generating a dither mask is disclosed using a local stochastic technique for use for the halftoning of grey scale images by a pixel by pixel comparison of the images against the dither mask. The dither mask is generated by producing a sequence of dot profiles (each dot profile of the sequence corresponding to a grey scale level) using a stacking constraint with incremental grey scale level such that for each dot profile of the sequence the same pixels are selected compared to the preceding dot profile and the increment in the or each dot profile is realized by selecting at least one additional pixel. When determining the position of an additional pixel, the aspect ratio between the dot pitch in a predetermined direction and a direction perpendicular thereto when rendering images is taken into account.

Abstract: An image processing system receives an input gradient number m, input image data I(x,y) whose input gradient number is m, and an output gradient number n and calculates output image data O(x,y) having an output gradient number of n on the basis of the following formula (1). O(x,y)=int[?+d(xd,yd)/(gmax+1)] ??(1) When ? is an integer, the output image data O(x,y) is calculated on the basis of a formula obtained by substituting the calculated ?? for ? in the above formula (1), whereas when ? is not an integer, the output image data O(x,y) is calculated on the basis of the above formula (1).

Abstract: A tampering judgement system is provided which is capable of easily checking whether or not a printed document has been tampered. An image feature information extracting section extracts image feature information from a document image. An image feature information embedding section gives image feature information integrally as original image feature information to a document and a document image output section outputs the information as a printed document. When the printed document is given to the tampering judgement system, the image data is read by a document image reading section. An image feature information extracting section extracts image feature information contained in a document being an object for judgement on tampering. An embedding information extracting section extracts original image feature information from image data.

Abstract: An image input/output apparatus having a scanner unit disposed at an upper stage of an apparatus body and a liquid jet recording unit installed at a lower stage of the apparatus body includes a window which light passes through between the scanner unit and the liquid jet recording unit; an exposure controlling unit configured to control linear irradiation by a light source which illuminates an original platen when a maintenance mode of the recording unit is selected; and a luminous flux irradiation unit configured to irradiate a periphery of a liquid jet recording head in the above liquid jet recording unit with a luminous flux emitted from the light source passing through the window.

Abstract: An image data creating method and apparatus capable of preventing quality degradation of the image created by combining a plurality of image portions sharing a common region. The light reflected at the linear region on the original upon the irradiation of light from the linear light source is detected by the linear detecting means with the original being moved in the sub-scanning Y direction with respect to two linear sensors having a plurality of light receiving sections disposed linearly in the main scanning X direction such that light receiving sections located on the end portions of the respective linear sensors detect light emitted from the same position on the original in duplicate, and the image data detected either of the light receiving sections located on the end portions of the respective linear sensors are adopted as the image data representing the position on the original.

Abstract: In accordance with the present invention, an operating procedure of a scanning system free of identifying original's attribute comprises steps of scanning at least one original free of identifying original's attribute to generate at least one image, wherein the images present all contents of the originals, displaying the images on a preview window, receiving a portion of the preview window selected by a user, and scanning a portion of the originals corresponding to the portion of the preview window. The present invention further extends to a scanning system free of identifying original's attribute and a scanning method without identifying an original's attribute by a user.

Abstract: The present invention provides for an optical scanning apparatus having a scanner body and a self-propelled light bar assembly supported within the scanner body. In one example the scanning apparatus further includes a drive track supported within the scanner body, and the light bar assembly includes a drive wheel in contact with the drive track. This configuration allows the drive wheel to propel the light bar assembly with respect to the scanner body. In a second example the scanner has a scanner body and a magnet-track portion of a linear electric motor fixedly supported within the scanner body. The light bar assembly includes a slider portion of a linear electric motor, and the light bar assembly is supported in the scanner body to place the magnet-track portion in proximity to the slider portion to thereby allow the light bar assembly to be driven along the magnet-track portion.

Abstract: The present invention relates to turning and recording and/or reproducing multiple pages or leaves from a material, such as a book or periodical. A leaf lifting mechanism lifts the leaves of the material (e.g., book, periodical, etc.) from which the images are to be obtained. The leaf lifting mechanism can turn the leaves of the material itself, or also work cooperatively with an image recordation mechanism to turn the leaves of the material. During recordation, the image recordation mechanism follows the curvature of the leaf being recorded to minimize image distortion or degradation. The recorded images may be reproduced by a reproduction device such as a photocopier or printer.

Abstract: The invention provides an arrangement and a method for generating electrical image signals from an image original. The arrangement is, for example, a film scanner which illuminates or transilluminates a photographic image on a film using an illumination device. Optical signals generated hereby are converted into electrical signals by a CCD sensor subdivided into segments. The segments of the CCD sensor are connected via mutually independent readout channels to a signal processing stage, where the electrical signals of the readout channels are combined with one another in such a way that these represent a total image. Furthermore, an adjustment unit is provided which adjusts the transfer functions of the different segments of the sensor with respect to one another in such a way that visible image disturbances are avoided.

Abstract: A flatbed scanner includes a housing, a glass plate fixed to the housing, a front rib formed at a bottom face of a front part of the housing and extending downward, a back rib formed at a bottom face of the back part of the housing and extending downward, and side ribs formed at two sides of the housing and extending toward the center of the housing. The inner distance from the back rib to the front rib is not smaller than the length of the glass plate. The side ribs are under the bottom faces of the front part and the back part so as to form a fastening gap. Because the distance between the side ribs is smaller than the width of the glass plate, when the glass plate is inserted into the fastening gap, the glass plate is held.

Abstract: Disclosed is an image reading apparatus in which the amount of illumination light is increased and adverse influence of reflective illumination is reduced, and which is capable of reading image information of an original, such as a document, with high precision. The image reading apparatus includes an illuminating unit for illuminating image information of the original placed on an original support, and an image forming unit for imaging the image information on a reading unit. In the image reading apparatus, the illuminating unit includes a plurality of light source portions, the image information is read in a two-dimensional manner by changing a relative position between the image information and the reading unit, and the plurality of light source portions are disposed asymmetrically with respect to an optical axis of the image forming unit in a sub-scanning cross-sectional plane.

Abstract: The present invention relates to a holographic disk medium (1) with servo marks (7), and more specifically to a holographic disk medium (1) having a common reflective layer (3) for reflecting a servo beam (9) and object and reference beams (8). According to the invention, a holographic disk medium (1) with a recording layer (2) for recording holograms (6) and a reflective layer (3) for reflecting a servo beam (9) and object and reference beams (8), includes servo marks (7) which are located in the reflective layer (3) at least partly below the holograms (6), wherein the servo marks (7) are designed such that their influence on the object and reference beams (8) is minimized.

Abstract: A backlight unit for a flat panel display and a flat panel display apparatus having the same. The backlight unit for a flat panel display includes a light source emitting light, a light guide panel having an incident surface facing the light source and totally reflecting light incident through the incident surface toward the flat panel display, a holographic pattern that is formed at at least one of an exit surface of the light guide panel or the opposing surface with a predetermined grating period and diffracts light incident into the light guide panel and a dot pattern containing a plurality of particles dispersed on the holographic pattern at intervals shorter than the grating period and scattering incident light.

Abstract: A Fourier transform lens system includes a first lens group having positive power, a second lens group having positive power, and a third lens group having negative power, all arranged on a common optical axis in that sequence. The first lens group includes a first positive meniscus lens, and a negative meniscus lens adjacent to the second lens group. The first positive meniscus lens has a concave lens surface facing toward a concave lens surface of the negative meniscus lens. The second lens group includes at least one bi-convex lens. The third lens group includes a second positive meniscus lens adjacent to the second lens group and a bi-concave lens. The second positive meniscus lens has a convex lens surface facing toward the second lens group. The Fourier transform lens system satisfies the following conditions: (1) 0.8<f2/f<1.4; (2) ?1.3<R12F/f<?0.7; (3) 0.35<R31F/f<0.75; and (4) 0.3<R32R/f<0.7.

Abstract: An actuating mechanism includes a scanner chip having a scan table mounting cavity, and a bracket moveably positioned in the scan table mounting cavity. A scan table is moveably positioned in the bracket. The bracket has a first mass and the scan table has a second mass. A first coil and frame collectively define a third mass and a second coil and frame collectively define a fourth mass. A first pivoting element is connected to the first coil and the scan table. The first pivoting element is pivotally supported about a first pivot point and connected though an asymmetrical leverage connection to the first coil and the scan table. A second pivoting element is connected to the second coil and the scan table. The second pivoting element is pivotally supported about a second pivot point and connected through a symmetric leverage connection to the second coil and the scan table.

Abstract: Designs of optical devices for attenuating a light signal are disclosed. According to embodiment, an attenuator includes a screw and a light blocker, wherein the light blocker has only translational movements when the screw is screwed in or out. To facilitate the light signal in and out, a first collimator to receive a light beam, and a second collimator to output the light beam, wherein the light beam is attenuated by the light blocker when the light is transmitted from the first collimator to the second collimator.

Abstract: An optical device has an electrically insulating first barrier layer disposed over a first electrode layer, a photoconductive layer disposed over the first barrier layer, and a carrier confining layer disposed over the photoconducting layer. The carrier confining layer defines a volume throughout which a plurality of carrier traps are dispersed. Further, an electrically insulating second barrier layer is disposed over the carrier confining layer, a light blocking layer is disposed over the second barrier layer for blocking light of a selected wavelength band. A reflective layer is disposed over the light blocking layer for reflecting light within the selected wavelength band, a birefringent or dispersive layer is disposed over the reflective layer, and an optically transmissive second electrode layer is disposed over the birefringent or dispersive layer. A method is also disclosed, as are additional layers intervening between those detailed above.

Abstract: An apparatus includes a reconfigurable spatial light modulator, a light source, and a transmission filter. The reconfigurable spatial light modulator is capable of producing spatially varying amplitude and/or phase modulations of an incident light wavefront. The light source is configured to direct an illumination light beam towards the reconfigurable spatial light modulator such that the modulator produces a modulated outgoing light beam there from. The transmission filter is configured to spatially filter a light pattern formed by the outgoing light beam and to selectively transmit light from substantially only one diffractive order of the light pattern.

Abstract: An electrophoretic display medium includes one or more set of colored particles in a dielectric fluid, and wherein at least one of the one or more set of particles are particles having thereon at least one polyelectrolyte coating. The display medium is included in an electrophoretic display device by including the medium in a multiplicity of individual reservoirs of a display layer or layers that is located between conductive substrates.

Abstract: The invention relates to electrooptical light modulating elements, to electrooptical displays containing elements of this type, and to display systems, e.g. television screens and computer monitors, and to the modulating media used therein. The inventive light modulating elements contain a mesogenic modulating medium that exists in an optically isotropic phase when the light modulating elements are in operation and, in addition to having a good contrast, a low dependency on the viewing angle and very short switching times, they are particularly characterized by having relatively low driving voltages with a very low dependency on temperature. The inventive modulating media are characterized in that they contain a chiral constituent. They preferably also contain an achiral constituent. Especially preferred, the control media comprise a blue phase.

Abstract: There is provided a stable optical element having a fine, uniform, and wide-ranging domain inversion structure in a ferroelectric crystal. This includes a plurality of domain inversions (101) formed on an MgO:LiNbO3 substrate (100), and a groove (102) formed on the substrate surface between the domain inversions (101). The depth T? of substantially all of the domain inversions (101) satisfies the relation T?<T with respect to the substrate thickness T.

Abstract: A chirped pulse amplifier (CPA) system having a mode-locked laser and a high-speed pulse selector, wherein the pulse selector modulates output pulses based upon an applied modulation voltage. A pulse selector may be an integrated electro-optic modulator, for example a LiNbO3 modulator, or an electro-absorption modulator. Difficulties related to free-space alignment and operational stability of some prior designs are reduced or eliminated. Fiber coupling generally simplifies beam delivery and alignment. Some embodiments include an erbium fiber (or erbium-ytterbium) based CPA system operating at a wavelength of approximately 1550 nanometers. Similar performance can be obtained at other wavelengths, for example a 1.06 .micrometer Yb-doped fiber system. Moreever, high amplification and peak intensity at the output may be achieved while avoiding non-linear effects in the pulse selector, thereby providing for high intensity picosecond or femtosecond operation.

Abstract: Techniques for designing optical devices with passive components for erbium and other doped fiber amplifiers are disclosed. In one aspect, all passive components needed to construct optical amplifiers of both single and multiple-stage forward or backward pumps are integrated without extensively using optical fiber splicing joints. One of the features is to use free-space optics for inter-function cascades among various necessary functions, such as one or more tap couplings, WDM filtering to multiplex (Mux) or de-multiplex (Demux) pump and signal lights, gain-flattening, pump isolation and even performing Mux and Demux of different polarizations.

Abstract: The invention pertains to optical fiber transmission systems, and is particularly relevant to optical transport systems employing Raman optical amplifiers. In particular the invention teaches an apparatus and method to provide initial tuning of a Raman pump module. In the present invention, improvements to Raman gain control are taught in order to provide for an advantageous Raman gain spectral profile.

Abstract: Provided is an optical fiber. The optical fiber includes a core and a cladding, the core containing a first element for inducing non-linear Raman phenomenon, and the cladding containing a second element which is a rare earth element, wherein when the optical fiber is pumped by two pumping light sources having different wavelengths with each other, the optical signals in the first and third band are Raman-amplified by the first element and the signals in the second band are amplified by a direct transition of the second element.

Abstract: An amplifier or laser using the stimulated Raman diffusion effect comprises a light guide (6), and a light pump (10) for producing a pump wave. In order to increase amplification efficiency, the light guide comprises a core structure that includes at least one optically active component that presents an electron transition energy corresponding to a wavelength that is close to the wavelength of the pump wave while nevertheless not being identical thereto. The invention is applicable to optical transmission systems.

Abstract: An optical fiber for Raman amplification amplifies a signal light with a pumping light. A chromatic dispersion at a wavelength of 1,550 nm is in a range between ?70 ps/nm/km and ?30 ps/nm/km. Raman gain efficiency with a pumping light of 1,450 nm is equal to or more than 5 (W×km)?1. Nonlinear coefficient at the wavelength of 1,550 nm is equal to or less than 5.0×10?9 W?1. Zero-dispersion wavelength is neither at a wavelength of the signal light nor at a wavelength of the pumping light. Cut-off wavelength is equal to or less than the wavelength of the pumping light.

Abstract: An optical transmission system may include a combination of higher gain repeaters and lower gain repeaters, arranged to manage gain tilt. The higher gain repeaters and lower gain repeaters may be arranged to allow net gain to vary (e.g., above and below zero) within a predetermined acceptable net gain excursion. In one embodiment, the higher gain repeaters have a nominal gain value higher than a nominal span loss value and the lower gain repeaters have a nominal gain value lower than the nominal span loss value.

Abstract: A method for amplifying a time-varying optical signal comprising the steps of: generating an auxiliary optical signal the amplitude of which is chosen to be complementary to at least the envelope of the amplitude of the optical signal, superimposing the auxiliary optical signal to the optical signal resulting in a compound signal having an amplitude which is constant at least on average, amplifying the compound signal, and removing the amplified auxiliary optical signal from the amplified compound signal; as well as an optical amplification unit for carrying out the method.

Abstract: Optical signal-to-noise ratio (OSNR) monitoring methods and apparatus are described. A tunable optical filter filters an optical channel containing an optical signal and noise. The total signal and noise power at the output of the filter is measured as the transmittance passband of the filter is varied and the maximum and minimum powers are determined. The ratio between the maximum and minimum powers is then used to determine the OSNR of the optical channel, which, for example, can be a wavelength channel in a wavelength division multiplexing (WDM) system. The ratio of the maximum signal power to the minimum signal power and the ratio of the maximum noise power to the minimum noise power are pre-determined based on the signal modulation format type and filter passband characteristics.

Abstract: An optical amplifier utilizes two or more doped fiber segments or portions to achieve a lower noise figure and a higher saturation power than would be possible using any one of the doped fiber segments. Each doped fiber portion may be considered to be a doped fiber optical amplifier, and has a different doping level than each of the other doped fiber portions. Each such doped fiber portion has distinct amplitude gain and noise characteristics relative to each of the other doped fiber potions. The two or more doped fiber portions are coupled to each other in series and most often in a predefined order based on their relative amplitude gain, noise and saturation power characteristics.

Abstract: An doped fiber optical amplifier featuring an optical component having first wavelength division multiplexer, an isolator and a second wavelength division multiplexer is described. The isolator supports the propagation of optical signals within a predetermined signal wavelength range in one direction. Pump signals having a wavelength within a pump wavelength range are diverted by the wavelength division multiplexers to inhibit coupling of the pump signals with the isolator. The optical amplifier supports the use of relatively high-powered optical pump lasers. The optical component is optically disposed between different lengths of doped fiber and serves to reduce optical noise within the amplifier.

Abstract: A fiber Chirped Pulse Amplification (CPA) laser system includes a fiber mode-locking oscillator for generating a laser for projecting to a fiber stretcher for stretching a pulse width of the laser wherein the stretcher further comprising a self-phase modulation (SPM) assisted photonics crystal fiber (PCF) single mode (SM) fiber stretcher. The fiber CPA laser system further includes a multistage amplifier for amplifying the laser and a high-order dispersion-compensating compressor for compensating high order dispersions and compressing the pulse width of the laser.

Abstract: An optical beam combiner and a related method for its operation, in which multiple coherent input beams are directed onto a diffractive optical element (DOE) along directions corresponding to diffraction orders of the DOE, such that the DOE generates a single output beam in a direction corresponding to a desired diffraction order, and suppresses outputs in directions corresponding to unwanted diffraction orders. The phases of the input beams are actively controlled to ensure and maintain the condition that only a single diffraction mode is present in the output of the DOE.

Abstract: A method and apparatus use a photonic-crystal fiber having a very large core while maintaining a single transverse mode. In some fiber lasers and amplifiers having large cores problems exist related to energy being generated at multiple-modes (i.e., polygamy), and of mode hopping (i.e., promiscuity) due to limited control of energy levels and fluctuations. The problems of multiple-modes and mode hopping result from the use of large-diameter waveguides, and are addressed by the invention. This is especially true in lasers using large amounts of energy (i.e., lasers in the one-megawatt or more range). By using multiple small waveguides in parallel, large amounts of energy can be passed through a laser, but with better control such that the aforementioned problems can be reduced. An additional advantage is that the polarization of the light can be maintained better than by using a single fiber core.

Abstract: An optical system including a gain material pumped by pump energy bands delivered to the gain material from different directions and separated sufficiently to prevent crosstalk between pump energy sources. Embodiments of the pump energy sources may be configured to pump the gain material with pump energy bands that correspond to absorption bands of the gain material.

Abstract: A system and method for providing eye-safety protection during operation of a lumped optical amplifier. The method is based on monitoring of continuous out-of-band Raman amplified spontaneous scattering (ASS) created by the amplified signal in an optical communication network span coupled to an output port of the lumped optical amplifier. The system includes at least one gain stage for providing an amplified signal introduced into the span, a monitoring unit for performing the continuous Raman ASS monitoring, and a control unit operative to detect and analyze in real-time changes in the ASS power, and upon determination that such changes indicate an open span, to reduce the power of the amplified signal or shut down the gain stage.

Abstract: A method of tunable generation of terahertz radiation comprising: (A) providing a magnon gain medium; wherein the magnon gain medium supports generation of nonequilibrium magnons; (B) generating terahertz radiation in the magnon gain medium; and (C) tuning frequency of the terahertz radiation by causing changes in an external parameter. The substantial tuning of the frequency of the generated terahertz radiation can be achieved by applying an external magnetic field, and by causing changes in a value of the external magnetic field.

Abstract: The method of isolating faults internal to, for example, from tonic integrated circuits by diverting a portion of certain input and output signals to integrated photo detectors. By analyzing the admitted optical signal in each of plural photo detectors, falls within the circuit can be isolated.

Abstract: An integrated device is disclosed which has a substrate and a Rare-Earth Doped Semiconductor layer (REDS layer) integrated with the substrate. The REDS layer is patterned to define one or more optically amplifying structures each having a first I/O port for receiving or outputting a first optical signal, and at least one pump energy receiving port for receiving pumping energy in the form of at least one of electrical pump energy and/or optical pump energy. In one particular set of embodiments, at least one of the optical amplifying structures is a Raman type amplifier where a corresponding pump energy receiving port is structured for receiving Raman type pumping energy having an effective frequency which is about one optical phonon frequency higher than a signal frequency of an optical signal supplied at a corresponding I/O port.

Abstract: Several examples of double-pass fiber amplifiers including a polarization maintaining (PM) gain-fiber are disclosed. In each example, input and twice-amplified output are separated by an all-fiber, polarization-maintaining polarization splitter combiner. One example includes a double-pass fiber amplifier which relies on a double pass through a 45 degree fiber based rotator to rotate the polarization of the light.

Abstract: A multilayer mirror aims to reduce incidence angle dependence of reflectivity. A substrate is made of low thermal polished expansion glass with 0.2 nm RMS or less roughness of the surface. On the surface thereof formed is a Ru/Si multilayer having a wide full-width half maximum of peak reflectivity, and on the Ru/Si multilayer formed is a Mo/Si multilayer having a high peak reflectivity value. This enables higher reflectivity than when Ru/Si alone provided and a reflectivity peak having a wider full-width half maximum than when the Mo/Si multilayer alone provided. Since Ru absorbs EUV ray more than Mo does, higher reflectivity is obtainable than that of a structure having the Ru/Si multilayer formed on the Mo/Si multilayer. The multilayer with a wide full-width half maximum has small incidence angle dependence of reflectivity in spectral reflectivity, thereby achieving high imaging performance in projection optical system.

Abstract: An indexable microscope is described, that comprises a microscope stand and an optical beam path, having a plurality of optical components that are switchable into and out of the beam path, which are arranged on at least two independent mechanical assemblies to be indexed separately and are switchable selectably into and out of the beam path by indexing the respective assembly. According to the present invention, a space-saving and flexible arrangement of the separately indexable assemblies having the optical components is achieved in that a common central receiving plate is provided, on the upper side and the lower side of which at least one of the assemblies is respectively arranged. Configuration of the assemblies as rotary disks permits very flexible arrangements which allow both manual and motorized actuation of the indexing of the assemblies.

Abstract: A microscope according to the present invention includes an illumination element changer capable of selectively inserting any of a bright field illumination element, a dark field illumination element, and a fluorescence illumination element into an optical axis of an objective, a field stop disposed on the optical axis and limiting a visual field of the objective, an aperture stop disposed on the optical axis and limiting a pupil area of the objective, a filter member disposed on the optical axis and limiting a given ultraviolet wavelength range or adjusting a light quantity of illumination light of an illumination light source, a rotation shaft rotating in response to the changing movement of the illumination element changer, and an interlocking mechanism that brings the aperture stop, the field stop and the filter member into respective setting conditions corresponding to the selected illumination element in response to the rotation of the rotation shaft.

Abstract: A sight includes a housing with first and second openings, and includes an optics section that is disposed within the housing, that has image erecting optics and eyepiece optics, and that optically influences radiation received through the first opening from a scene, so as to deliver through the second opening a viewable image that is a function of the radiation. An adjusting section facilitates adjustment of the position of the image erecting optics and the eyepiece optics within the housing.

Abstract: The present invention provides a technology suitable for shortening a depth of a image display apparatus while obtaining a picture of high quality. According to the invention, a total reflection prism portion is provided on a side of a Fresnel lens sheet toward a picture source. The total reflection prism portion reflects an incident light to a direction toward an optic axial center of the Fresnel lens sheet to have the same outgoing. On the other hand, a first refractive prism portion, by which light of a predetermined incident angle or less is refracted to outgo to a direction along an optical axis of the Fresnel lens sheet, and a second refractive prism portion, by which light reflected to the direction toward the optic axial center of the Fresnel lens sheet is changed to the direction along the optical axis.

Abstract: A portable screen assembly includes: a casing having an opening extending in a longitudinal direction on the upper surface thereof, and formed by a pair of separable case members that extend in the longitudinal direction; a spring-biased roll rotatably mounted in the casing; a screen wound around the spring-biased roll in a storage position and extended from the opening in use; a top bar fixed to one end of the screen which is used as a cover body to close the opening in the storage position; and an extendable column having one end erectably pivoted from a center part of a side face of the casing to hold the screen in a stretched state.

Abstract: A conventional diffractive optical element (DOE), which consists of repetition of a unit pattern , has an advantage of applicability of the Fast Fourier Transform algorithm to calculate diffraction beam spots intensities on lattice points on an image plane. But, the conventional DOE has a drawback of impossibility of diffracting a laser beam off the lattice points. This invention designs a DOE by giving arbitrary complex amplitude transmittance {tmn} to every pixel (m, n), calculating actual Fourier transform from {tmn} to intensity W(?, ?), and obtaining intensity of a diffraction beam directing in any ? and ? direction. Since ?, ? are not necessary to be on lattice points, the FFT is of no use. Angular resolutions U and V satisfy inequalities U<?/aR and V<?/bS, where ? is a wavelength, aR and bS are the size of the DOE. The DOE can produce multidiffracted beams anywhere on an image and can irradiate a plurality of arbitrary arranged points simultaneously with high precision.