Computer-generated microcooled reflection holograms in silicon for material processing with a CO(2) laser

We report on the design, fabrication, and testing of multilevel computer-generated reflection holograms in Si for CO(2) laser material processing for laser intensities of <2 kW/cm(2). The holograms are designed with an iterative method based on scalar diffraction theory. In this case the reconstructed intensity distribution is independent of the incident high-power laser mode. For achieving high diffraction efficiencies, multilevel staircase surface topologies are fabricated by multimask and reactive ion-etching technology on the front side of a polished Si wafer. For efficient hologram cooling, a gratinglike structure of microchannels is chemically etched on the back side of the Si wafer. Absorption and deformation measurements have been carried out on both a microcooled flat mirror and a reflection hologram. The maximum deformation amounts to 200 nm and is 10 times smaller than comparable conventional uncoated Cu mirrors. A diffraction efficiency of 88% is achieved with an eight-level reflection hologram and a 30-mm-diameter CO(2) laser beam with a power of 5 kW.     

Computer-generated holograms on a metal ion-doped polymer system: contact copying

Dichromated poly(acrylic acid) films with dimethyl formamide have been used as a real-time recording medium for volume transmission holograms. In this study a simple computer-generated holographic grating with a sinusoidal amplitude profile is copied onto this recording material by the contact-copying technique. The experimental setup for the contact copying of a computer-generated hologram (CGH) is explained, and the phase modulation is observed for a different exposure time. Theoretical and experimental diffraction efficiency values for the CGH copy are also evaluated. Photographs of the original and copy of the CGH on the photopolymer film are presented.     

Optical Hough-transform processor with a two-dimensional array of computer-generated holograms

An optical implementation of the Hough transform that uses a two-dimensional array of computergenerated holograms based on a direct-binary-search algorithm is investigated. A Hough-transform filter consisting of 16 × 16 Fourier-transform direct-binary-search computer-generated holograms is examined. A novel matrix format, which uses the parameter domain in the Hough transform instead of a conventional orthogonal coordinate system, enables highly flexible fabrication of a Hough-transform filter by reducing constraints for reconstructed sample points of a computer-generated hologram. A completed Hough-transform filter has excellent performance both in the quality of the reconstructed image and in diffraction efficiency.     

Practical implementation of the phase-quantization technique in an iterative Fourier-transform algorithm

Implementation of the phase-quantization method in the design of computer-generated holograms (CGHs), especially binary CGHs, is a major influence on the diffraction efficiency of the CGHs. We describe the use of various quantization methods in the various steps of an iterative Fourier-transform algorithm and compare the root-mean-square (RMS) errors of the CGHs. As a result of the practical quantization technique, the most effective RMS value of a binary CGH should be decreased by at least 13% to retain maximum diffraction efficiency.     

Fabrication of multilevel phase computer-generated hologram elements based on effective medium theory

A conventional method to synthesize diffractive optical elements and computer-generated holograms (CGH's) with high diffraction efficiency relies on an increase of phase levels. To fabricate such a device, one should perform electron-beam (e-beam) lithography with multiple-dose exposures or multiple-step photolithography. Here we describe a one-step method, which is based on the effective medium theory, for the fabrication of a multilevel phase CGH. The phase modulations required in cells of a CGH are constructed by means of dividing these cells into fine (subwavelength) structures. The surface features of these fine structures control their corresponding indices, and their values can be calculated according to the effective medium theory. By proper selection of the fine structures, based on the requirements of the phase modulation of the cells, a CGH with multilevel phases is synthesized when a binary structure is relieved on the dielectric material. Then the CGH can be fabricated by direct e-beam lithography or one-step photolithography through an amplitude mask followed by an ion-etching treatment. The experimental results showed that the reconstructed wave field is in good agreement with that simulated by a computer, indicating the effectiveness of the proposed method.     

Two methods of reducing the dynamic range of a holographic filter

Two methods of reducing the dynamic range of the transmittance of computer-generated interconnection holograms are presented and compared. The holograms are used in an optical implementation of an associative memory to connect the input and the output planes but are representative of more generalN(4) interconnection holograms. Because the holograms play a double correlation-reconstruction role, the standard spectrum-smoothing techniques (e.g., random phase) cannot be applied. We show, in computer simulations and optical experiments, that by using deterministic phase functions that can be realized in the optical system (defocusing the hologram or controlling the phases of the diffraction spots of a Dammann grating used in the system input) the hologram dynamic range can be lowered, reducing the errors during the hologram binarization and increasing the hologram's diffraction efficiency.     

Polarization-selective computer-generated holograms: design, fabrication, and applications

We constructed polarization-selective computer-generated holograms that apply an independent phase profile during readout by horizontal and vertical light polarizations. These elements are composed of two surface-relief-etched birefringent substrates joined face to face. We describe the design methodology for arbitrary birefringent substrate and gap materials. We show how these holograms are fabricated with standard microelectronics technology and discuss the effects of etching and alignment errors on performance. We demonstrated a diffraction efficiency of 60% with a polarization contrast ratio of >100:1 using a multilevel phase hologram made from two birefringent lithium niobate substrates. We also showed that a single-layer SiO(2) thin-film antireflection coating on all surfaces can reduce reflections from the high-index substrates without significant effect on hologram performance. We also consider some possible applications of this technology and demonstrate experimentally a dual focal-length lens and a self-interconnecting binary 2 × 2 polarization switch.     

Multicriteria optimality for iterative encoding of computer-generated holograms

We propose a new multicriteria method for the determination of computer-generated holograms (CGH's). For this purpose, the direct binary search (DBS) algorithm for computing CGH's has been modified to converge on a new error function that defines the optimal trade-off among different criteria. This approach allows us to control the trade-off between the amplitude error and the diffraction efficiency and to provide a rigorous figure of merit. Comparisons among different encoding methods show that the best results are obtained with a modified version of the DBS method combined with the iterative Fourier transform algorithm.     

Silver halide sensitized gelatin holograms in Slavich PFG-01 red-sensitive emulsion

Abstract

Silver halide sensitized gelatin (SHSG) is an interesting technique for the production of holographic optical elements. It combines the high sensitivity of photographic emulsions with the well-known low scattering and high diffraction efficiency corresponding to dichromated gelatin. In this paper we describe SHSG holograms recorded on Slavich PFG-01 emulsions. We will show that real high diffraction efficiencies can be obtained (as high as 93% allowing for reflections) when using this material for recording phase transmission holograms. The influence of the bleach bath temperature and a hardening bath in the processing was studied and the procedure was optimized for these two parameters. Our investigations reveal that PFG-01 emulsion is not only a substitute for Agfa material, but also offers better results, at a moment in which Agfa has stopped its production of holographic material.     

Analysis and optimization of fabrication of continuous-relief diffractive optical elements

The fabrication of continuous-relief diffractive optical elements by direct laser beam writing in photoresist is analyzed. The main limitation and tolerances are identified, and their influence on optical performance is quantified. Fabricated structures show rounded profile steps resulting from the convolution of the desired profile with the writing beam. This leads to a reduction in diffraction efficiency. Optimization techniques are presented to minimize this effect. Scaling the profile depth by a factor of mu > 1 increases the first-order diffraction efficiency for blazed elements. This method is also applied to suppress the zeroth diffraction order in computer-generated holograms. A nonlinear compensation of the exposure data for the Gaussian beam convolution results in an 18% increase of the diffraction efficiency for a blazed grating with a 10-mum period to a value of 79%.     

Fixation-free bleached silver halide transmission holograms recorded on Slavich PFG-01 red sensitive plates

Abstract

Bleaching is one of the most widely used techniques in the production of phase holograms of high quality on photographic emulsion, particularly in rehalogenating techniques without a fixation step. These techniques were very well understood when Agfa 8E75 HD emulsion was used for the recording. Production of Agfa material for applications to holography ceased in 1997, so these techniques must be optimized for the silver halide materials which are currently available. In this paper we present experimental results for fixation-free rehalogenating bleached holograms derived from the Slavich PFG-01 emulsion, a red-sensitive fine-grained emulsion from the Slavich Company. The influence of the potassium bromide concentration in the bleach solution on the final quality of the holograms is studied. The concentrations of the different components of the bleach solution are adjusted to obtain the highest values of the diffraction efficiency. A comparative study is also made with bleached holograms recorded on Agfa 8E75 HD plates. We will show that high diffraction efficiencies can be obtained when fixation-free rehalogenating bleached holograms are recorded on Slavich PFG-01 plates.     

Pixelated phase computer holograms for the accurate encoding of scalar complex fields

We discuss a class of phase computer-generated holograms for the encoding of arbitrary scalar complex fields. We describe two holograms of this class that allow high quality reconstruction of the encoded field, even if they are implemented with a low-resolution pixelated phase modulator. In addition, we show that one of these holograms can be appropriately implemented with a phase modulator limited by a reduced phase depth.     

Analysis of phase sensitivity for binary computer-generated holograms

A binary diffraction model is introduced to study the sensitivity of the wavefront phase of binary computer-generated holograms on groove depth and duty-cycle variations. Analytical solutions to diffraction efficiency, diffracted wavefront phase functions, and wavefront sensitivity functions are derived. The derivation of these relationships is obtained by using the Fourier method. Results from experimental data confirm the analysis. Several phase anomalies were discovered, and a simple graphical model of the complex fields is applied to explain these phenomena.     

Computer-generated stratified diffractive optical elements

We present what is to our knowledge a new type of diffractive optical element (DOE), the computer-generated stratified diffractive optical element (SDOE), a hybridization of thin computer-generated DOEs and volume holograms. A model and several algorithms for calculating computer-generated SDOEs are given. Simulations and experimental results are presented that exhibit the properties of computer-generated SDOEs: the strong angular and wavelength selectivity of SDOEs makes it possible to store multiple pages in a computer-generated SDOE, which can be read out separately (multiplexing). The reconstruction of an optimized SDOE has a higher quality than the reconstruction of optimized one-layer DOEs. SDOEs can be calculated to have only one diffraction order.     

Stibnite-liquid crystal structure: A strongly nonlinear reversible recording medium

It is shown that stibnite can be used as a material for the photosensitive layer in an optically controlled structure of the photosemiconductor-liquid crystal type. The spectral characteristic of stibnite allows a highly sensitive recording medium to be obtained for writing holograms using He-Ne laser radiation. The maximum diffraction efficiency achieved with this medium was 37%. The modulation characteristic of the stibnite-liquid crystal structure exhibits pronounced nonlinearity, with the slope of both rising and falling regions being dependent on the applied bias voltage.     

Optimization of a fixation-free rehalogenating bleach for BB-640 holographic emulsion

Abstract

Fixation-free rehalogenating bleaching is an interesting for the production of phase holograms. The shrinkage of the emulsion is reduced in comparison with other bleaching methods (reversal bleaching or rehalogenating bleaching with fixation). In this paper we present experimental results for fixation-free rehalogenating bleached holograms derived from the novel BB-640, a red-sensitive ultra-fine grain emulsion from Holographic Recording Technologies. The influence of the potassium bromide concentration in the bleach solution on the final quality of the holograms is also studied. The concentrations of the different components of the bleach solution are adjusted to obtain the highest values of diffraction efficiency. We show that really high diffraction efficiencies can be obtained, as high as 84%, when fixation-free rehalogenating bleached holograms are recorded on BB-640 plates.     

Effects of overmodulation in fixation-free rehalogenating bleached holograms

The mechanism for hologram formation by fixation-free rehalogenating bleaching has been treated by several authors. Experiments carried out with Kodak and Agfa photographic plates have led to the conclusion that the transfer of material from the exposed to the unexposed zones is the main mechanism that drives the process. We show that when BB-640 emulsion is used in the recording of holograms by means of fixation-free rehalogenating bleaching, the mechanism for the transfer of material from exposed to unexposed zones is efficient enough to create high refractive-index modulations. We also comment on the overmodulation effects, which result in a decrease in diffraction efficiency.     

Computer-generated multiple-phase-level holograms by use of color-printer techniques

High-efficiency phase-only computer-generated holograms (CGH's) were produced expediently and inexpensively by a color-encoded discrete-phase-level process. Computer-generated-hologram gray levels were mapped to color with a high-resolution color printer, and color was mapped to phase by a broad-spectral-sensitivity high-resolution black-and-white film. Experimental results illustrating colorto optical-density and color-to-phase mapping are presented for Kodak 649F film. A variety of optical interconnection elements exhibiting high diffraction efficiencies and high contrast ratios for both on- and off-axis performance were fabricated by this technique. Typical experimental results are presented.     

Image storage based on circular-polarization holography in an azobenzene side-chain liquid-crystalline polymer

Image storage was investigated in a liquid-crystalline azobenzene polymer film based on circular-polarization holographic recording. An image was stored in pure polarization holograms using two orthogonal circularly polarized 532 nm beams and was reconstructed with a 633 nm beam. The polarization holograms showed high stability and a high diffraction efficiency of 31.8%. Moreover, the polarization holograms could convert arbitrary probe polarization state into circular polarization, and the diffraction efficiency was dependent on the probe polarization state, which was favorable for controlling the reconstructed images.     

Comparison of peristrophic multiplexing and a combination of angular and peristrophic holographic multiplexing in a thick PVA/acrylamide photopolymer for data storage

Two different types of multiplexing are used to store 90 holograms at the same location in a polyvinyl alcoholacrylamide photopolymer material. In the first, the 90 holograms are stored using only peristrophic multiplexing, whereas in the second a combination of angular and peristrophic multiplexing is used. The results (diffraction efficiency and dynamic range, M#) obtained with these two multiplexing techniques are compared. With the first, the dynamic range was M# = 13 and with the second M# = 8. An exposure schedule method is used to calculate the exposure time necessary to store the holograms with a more uniform, higher diffraction efficiency.