The PhotorefractiveEffect A laserbeampassingthrough a crystal can suddenlyburst into a spray of light. Thisphotorefractiveeffect may be the key to developingcomputersthat exploit light insteadof electricity by David M. Pepper,jack Feinberg and Nicolai V. Kukhtarev W hen Arthur Ashkin and his colleagues at Bell Laboratories first noticed the photorefrac- tive effect some 25 years ago, they considered the phenomenon a curiosity at best and a complete nuisance at worst. Today photorefractive materials are being shaped into components for a new generation of computers that exploit light instead of electridty. Ashldn was experimenting with a crystal of lithium niobate (UNbO 3) that he hoped would convert one color of intense laser light to another (a process technically called second-harmonic generation). As part of his tests, he directed a laser beam through the crystal. At first, the crystal performed quite admirably,allowing light to pass through undisturbed. But after a few minutes, the crystal began to distort the beam, scattering light around the laboratory. Somehow the laser light had altered the optical properties of the crystal itself. 1bis photorefractive effect would persist in the crystal for days. If the workers bathed the crystal in a uniform beam of light, however, I DAVID M. PEPI'B., JACK FEINBERG and NICOLAI V. KUKHTAREV wrote part of this article on the beaches of HawaJi and simultaneously participated in an experiment on the photocbromIc elfect: they developed suntans. Pepper Is a senior staft' physicist in the optical physics department at Hughes Research Laboratories and adjunct pr0fessor at Pepperd1neUniversity. In 1980 he received his Ph.D. in applied physics from the California Institute of Technology. This is his second article for SaENTmC AMERICAN.Feinberg is associate professor of physics and electrical engineering at the University of Southern California. In 1977 he earned his PhD. in physics from the University of Callfomia, Berkeley. Kukhtarev is a senior sdentiat at the Institute of Physics in Kiev, UkraIne, U.S.S.R. In 1983 he received a doctorate degree for his studies of the theory of dynamic holography. cO) C"",,,rrrnr A Ul'lJlr AN the crystal would once again transmit an undistorted beam. During the past 2S years investigators have discovered a wide variety of photorefractlve materials, including insulators, semiconductors and organic compounds. Photorefractive materials, like film emulsions, change rapidly when exposed to bright light, respond slowly when subjected to dim light and capture sharp detail when struck by some intricate pattern of light. Unlike film, photorefracttve materials are erasable: images can be stored or obliterated at whim or by design. By virtue of their sensitivity, robustness, and unique optical properties, pbotorefractive materials have the p0tential to be fashioned into data-processing elements for optical co.-oputers. In tlteory, these devices would allow optical computers to process information at much faster rates than their electronic counterparts. Employing photorefractive materials, workers have already developed the optical analogue to the transistor: if tWo laser beams interact within a pbotorefractlve material, one beam can conttol, switch or amplify the second beam. Photoretractive materials also lie at the heart of devicesthat tracethe edgesof bnages, that connect netWOrks of lasers and that store three-dimensional images. B ecause photorefracttve the optical properties matertals of can be modified by the very Ught that passes through them, they are categorized as nonlinear optical media. In linear optical me<tia-such as lenses, prisms and polarizing filters-light beams merely pass through one anoth. er, without changing the properties of the material. The photorefractive effect is closely related to another nonlinear phenomeDOnknown as the pbotochromic effect. The ltght that strikes a pbotochromic material can change the amount of Ught that the medium absorbs. Photochromic matertals, which are incorpo- nrtnIrn- 1qqn rated in certain brands of sunglasses, darken in bright sunlight and lighten In dark rooms. In photorefractive materials, the light that bombards the material affects how fast I1ght travels through It. More specifically, the photorefractive effect is a process in which light alters the refractive index of a material. (The refractive index is the ratio of the speed of light in a vacuum to that in the material.) Most transparent materials will change their refractive index if bombarded by light of sufficient intensity. Ught is a traveling electromagnetic wave whose electric field strength is proportional to the square root of the intensity of light. For instance. an optical beam whose intensity is 100 million watts per square centimeter is equivalent to an electric field strength of about 100,000 volts per centimeter. When such intense light is directed at a transparent material, It disrupts the positions of the atoms, changing the refractive index by a few parts in one million. As a result of the change, the material can act like a prism or a lens to deflect light.' . The term "photorefractive" Is usually reserved, however, for materials whose refractive index changes in response to light of low intensity. In photorefractive materials, I1ght beams as weak as one thousandth of a watt per square centimeter can alter the arrangement of atoms in a crystal, changing the re- fractiveindex as muchas a fewparts in 10,000. And unlike most transparent materials, the change in photorefractive crystals is semipermanent: if an altered crystal is isolated from all s0urces of I1gbt, the change in the refractive index can last from milliseconds to years, depending on the material. In this manner, one can store Infonnation in the fonn of images in a crystal. LASER.BEAM strildng a 5-mm crystal of barium titanate scatters into a fan of Hght owing to the photorefracdve effect. r §es, oiD ight row ;peisa raclive ight ) will om,nsinet19th t of " an 100 ~r is 18th ~ter. d at the the one , the lens Jally !lose .e to frac.k as uare nent ere>arts U'eDt fracif an .OUI'cttve Is to II. In ition tal of m of jfect. HOW LIGHT ALTERS THE OPTICAL PROPERTIES OF A PHOTOREFRACTIVE CRYSTAL ~ In Z W 1. Two laser beams interfere in a photorefractiveCl'yStai to forma ~ ~ pattern of bright and dark regions. x <:J :J u.(/) OW ~~ So 2. Mobile electrons migrate away from bright regions of the crystal. !!!~ ~iD (/)0 0:1 1/1 ~W 0" za: oel: 3. MobHe electrons accumulate In the dark regions. leaving regions of positive charge. g5 IOU ii:ii: t;t c~ w 9 w it (J ~ t ~ w T ~..~..~..~..~..~.. ~~~..~..~~~..~.. 4. An electric field forms between regions of positive and negative charge. w § 5. The electric field distorts the crystal lattice. ~ (.) 6. Th.e 1I1S!OttfolJcauses light to travel slower through some regions and faster through others. More specifically, the refractive index Is altered periodically. The refractive-index grating is shifted one quarter of a period in space from the light pattern. How can a weakbeamof light cause such a strong changein the refractive index of a crystal? In the late 1960s F. S. Chen of Bell Laboratories advancedthe basicmodel of the photorefractive effect. just as a single ant can move a large mound of sandone grain at a time, a weak beam of light can gradually build up a strong electric field by moving electric charges one by one. In photorefractlve crystals, chargesdiffuse away from bright regions and pile up in dark regions. As more and more chargesare displaced, the electric field inside the crystal in64 order of parts per million, can cause the photorefracttve effect. Each crystal defect can be the source of an extra charge, which can be either electrons (particles of negative charge) or holes (regions of positive charge), depending on the particular crystal. In the dark, these charges are trapped; in the presence of light, they are free to roam within the crystal until they eventually become caught again. If light illuminates charges in one region of the crystal, they will diffuse away from that region and accumulate in the dark, in the way cockroaches scurry underneath furniture to avoid light. Each charge that moves inside the crystal leaves behind an immobile charge of the opposite sign. In the region between these positive and negative charges, the electric field is strongest, and the crystal lattice will distort the most. A beam of light that passes through this region of the crystal will experience a different refractive index from that of the unaffected regions. creases,attaining a strength as high as 10,000volts per centimeter.The electric field w1ll distort the crystal lattice slightly (about .01 percent), thereby modifying the refractiveindex. The source of these electric chargesapparentlylies in defectsin the crystal lattice of the material. The defects can be mechanicalflaws in the lattice structure (missing atoms at certain lattice sites),substitutional dopants(a foreign atom at some lattice site) or interstitial dopants (a foreign atom wedged between native atoms). Very small amountsof thesedefects,on the Scn:NTm:c AMERICAN October 1990 he time it takes for light to rearrange chargesin a crystal depends on the intensity of the light and alsoon how fast chargesmigratein the crystal. Weak light takes longer than strong light to build up the sameelectric field. For low-intensitylight (about .01 watt per squarecentimeter).it can take minutes for the chargesto reach their equilibrium pattern. For high-intensitylight (abouta billion wattsper squarecentimeter),the responsetime canbe lessthan a nanosecond.A photorefractive crystal, like photographic film, requiresa certainamountof light to completeits "exposure." The changein refractiveindex is linearly proportional to the strength of the electric field if the crystal lattice lacksa certainproperty calledan inversion symmetry.The electric field will remain in the crystal long after the light is removed,just as the mound of sand remains in its new location long after theantshaveleft. One of the most useful consequences of the photorefractiveeffect is the exchangeof energybetweentwo laser beams,which is also known as twobeam coupling. If two laser beamsof the samefrequencyintersect,they will interfere and producea stationarypattern of bright and dark regions-or more specifically a pattern whose intensity varies sinusoidally with position in the crystal. If this sinusoidal pattern of light forms within a photorefractive crystal, electric chargeswill move to generate an electric field whose strength also varies sinusoidally. The resultant field will distort the crystal lattice in a similar periodic manner, producing changes in the refractive index. Ultimately a "refractive-index grating" (also called a refractive-index volume hologram) will be fonned within the crystal. The electric field and the refractive- index grating will have the sameperiodicity as the Ught pattern, but they will be shifted by one quarter of a period in space from the incident light. lbis displacement-called a 90-degree phaseshift-is the optimal configuration for the exchangeof energy betweenthe original two laserbeams. Oncethe refractive-indexgrating has beenestablishedin the crystal,someof the light of one beamwill be deflected, or diffracted, by the grating in the directionof the other beam(andviceversa). Hence, the two deflected beams will interfere with the two original beams-constructively in one caseand destructively in the other. In the case of constructiveinterference,the peaks of the light wavesin one of the deflected beamscombine with the peaks of one of the original beams, and the beamstherefore reinforce each other. In the caseof destructiveinterference, the peaksof the wavesfrom the other deflectedbeam combine with the valleys from the other original beam,and the light waves dtmintsh each other. Thebeamformed from constructiveinterferencewill emergefrom the crystal strongerthan whenit entered,whereas the beam fonned from destructiveinterferencewill emergeweaker.Hence, one of the beamswill havegainedenergy from the other. Which beam gains and which beam loses is determined by the orientation of the crystal and whether the chargecarriers are holes or electrons. Photorefractivematerialsexhibittwobeamcouplingbecausethe optical pattern and the refractive-indexgrating are shifted in space.Two-beamcoupling is not found in most nonlinear materials, however, becausethey respond "locally" to optical beams(for example,atomic orbitals are deformed by the intense electric fields of the laser beams).In most nonlinear materials. therefore. the optical pattern and grating preciselyoverlap.The light de. fleeted by the grating interferes with eachof the undeflectedbeamsin exactly the sameway. Thus, the two beams exchangean equal amount of energy, so neithergrowsin intensity. T o enhance effect, the investigators photorefractive have learned to control the flow of charge within a material.Thetwo mechanisms that control the flow of charge in a crystalare diffusion and drtft.1bey are analogousto the diffusion and drift of smoke from a burning ember.Left on its own, smoke w1ll diffuse to regions of low smokedensity.If a slight breeze is blowing, however, the smoke w1ll crystal such as bartmn titanate (Ball03~ Initially the beam passes through the crystal unaltered. After a second or so (the time depends on the intensity of the light), the beam begins to spread COHERENTOYI1CAL EXOSOR scatters intense light from a laser but transmits out In the crystal, cwving to one side. weak light from a lamp. Here the exdsor protects a camera from the damaging In the process the cwved beam divides laser rays. The laser beam, which consists of a single frequency of light, scatters off defects in the photorefractive crystal and then interferes with itself. The inter- into many rays that appear to spray ference pattern creates a refracdve-index grating. As a result, most of the laser out into a broad fan of light-hence the light is scattered to one side of the crystaJ, a process called beam fanning. Because term -beam fanning: Depending on the lamp light consists of many frequencies, neither an interference pattern nor a the choice of photorefractive crystal, grating is created, and so most of the lamp light is transmitted through the crystal. the emerging light In cross section can 66 SClENTmc AMERICAN October 1990 ~ Becauseof this property, phase-coJijugate mirrors have myriad applications in the fields of optical communications, high-power lasers and optical computing. As an example, they can be incorporated into a system to correct undesirable aberrations that laser beams sometimes acquire during propagation through mstorting media or powerful laser amplifiers (see "Applications of Optical PhaseCorijugation," by David M. Pepper; SCII:NTIFICAMER!CAN,January, 1986). In 1977 Robert W. Hellwarth of the University of Southern California suggested a basic configuration for phasecorijugate mirrors, and two years later Sergei G. Odulov and one of us (Kukhtarev) and independently Huignard and his co-workers produced such a mirror that incorporated photorefractive materials. In 1982 one of us (Feinberg) PHASE-CONJUGATE MIRROR made from a photorefractive crystal allows com- serendipitously mscovered a class of munication through the atmosphere. The receiving station emits a beam of light. phase-corijugate mirrors that many inAs the beam travels through the atmosphere, it spreads out and distorts. At the vestigators use today. Feinberg had fotransmitting station a photorefractive crystal either reflects or transmits the light cused three laser beams on a crystal of that bits it, depending on the voltage applied through the electrodes. Becausethe crystal acts as a pbase-conjugate mirror, the reflected light is time-reversed. A barium titanate. One beam contained messagecan be encoded by alternately reflecting and transmitting the light. As the the light waves whose time-reversed time-reversed message beam interacts with the atmosphere, all distortions are replica was sought; the two additional removed from the beam, and the messagecan be decoded at the receiving station. "pump" beams were needed to form the phase-corijugate mirror (or so Feinberg and his colleagues thought at the time). To check the experiment, Feinassumethe shapeof a beautiful array novelty filters and edge enhancement berg blocked the pump beams to enof elliptical patterns and can havedif- of images. sure that the presumed time-reversed The coherent optical exctsor-flrst fering polarizationcomponents. beamdid not arise merelyfrom a simdescribed in 1985 by Mark CroninBeamfanningresults from an energy exchangebetweenthe inddent beamof Golomb and Amnon Yariv of the Cali- ple reflection from a crystal face. At first, the time-reversed beam obedientlight and light randomly scatteredby fornia Institute of Technology-can po- ly vanished. But after a short time, the crystal defects.tight scatteredby a de- tentially filter out light that scatters beam surprisingly reapfect interferes with the unscattered from hlgh-intensity laser beams.The ex- time-reversed peared. Feinberg had found a phasecisor has the potential to protect senbeam, forming a refractive-indexgratconjugate mirror that required only a ing becauseof the photorefractiveef- sitive optical detectors, which may be fect. Oncethis occurs,the unscattered necessary to monitor high-power lasers single beam. Feinberg's elegant device light can transfer additional energyto during industrial processes such as an- is an example of a more general class the scatteredbeam. It turns out that nealing and welding. The excisor can of self-pumped, phase-cOIyugate mirthe energy-exchange mechanismis not also prevent damage to video cameras ror, which was "pioneered by Jeffrey O. White'; Mark Crcinin-Golomb, Baruch isotropic, and so the scatteredbeams [see illustration on page 66]. Fischer and Aumon Yariv of Cal Tech. The key component of the coherent of light becomepreferentially intensiAlthough phase-conjugate mirrors optical exctsor is a photorefractive crysfied only over a finite range of angles. can be made from many classes of tal, which is placed in front of the delbis intensified,scatteredbeamis then opticat materials, photorandomlyscatteredby other crystalde- tector or the camera's lens. The intense nonlinear refractive elements have several disfects, and the processis repeated.As beam can be diverted away from the tinct advantages: first, the mirrors rea result. a large number of scattered detector because the beam-fanning efbeamsfan out from the original beam. feet essentiallyguidesthe coherentla- quire only one input beam-the very Depending on the orientation of the serlight to the sideasit travelsthrough beam whose phase-conjugate replica crystal and the point at which the ind- the crystal.The detectoror cameracan is sought-thus forming the so-called dent laserbeamenters the crystal. the view the object in the presenceof in- self-pumped phase conjugator; and second, very low laser powers and infanned beam can be made to curve tenselight, however,becausethe backtensities can initiate the process leadground room light scattered from the through shallow angles (barely curving through the crystal) or over rather rest of the object passesthrough the ing to the time-reversed beam. Why does nature love the phase-conlarge angles(strildng an extreme cor- crystal essentiallyunaltered. jugate beam? A partial answer to this Beam fanning also plays an imporner of the crystal). tant role in phase-conjugatemirrors question posed by Hellwartb can be advanced at least in the case of barium tiearnfanning and other photore- made from photorefractive materials. tanate, as postulated by Kenneth MacThese mirrors possess the peculiar fractiveeft'ectshavebeenexploitDonald, then at the University of Southed in such applications as coher- property that an optical beam "reflectern California, and one of us (Feinberg). ed" from them w1ll travel exactly backent beam excisors, optical interconnecAfter a short time, beam fanning causward in space as if time were reversed. tion elements, phase-coQjugatemirrors, B 70 SCIENTIFICAMERICAN October1990 ever the intensities of the two beams match, the optical interferencepattern at that particular region in the crystal will have the largest modulation from bright to dark to bright and so on. The strong interference pattern will then generatea strong refractive-indexgrating. Whenthe readout beam interacts with the strong grating, it will be most efficiently deflected. or diffracted, at that location,and so the reconstructed imagewill emergewith all of its edges highlighted. Becausephotorefractivecrystalscan act as both energycouplersand phaseconjugatemirrors, they areparticularly useful for reconftgurableoptical interconnectsand frequency-lockingof lasers.Photorefractivecrystalscanrelay information from one optical element (say. an optical fiber) to another (a data-processingelement).free of complicated optical elementsor electronic interconnects.1bis optical relaying schemecan also force two (or more) separatelasersto "lock" onto eachother so that the two lasers oscillate at preciselythe sameoptical wavelength; whirh I~ rlirPrtM Into a -omtorefractive crystal along with a "reference" beam. in this way, the two separatelasersesThe two beams interfere inside the sentiallybehaveas one largerlaser. How do two or more mutually incocrystal and produce a hologram of the ortginal image. The image can be recov- herentbeamsof light becomeconnected in a photorefractivecrystal? When ered by a third "readout" beam. which is aimed in a direction opposite to the the different beamsilluminate a photorefractive crystal, eachwill produce reference beam. If the object beam is its own armadaof scatteredbeamsand relatively weak, then the reconstructrandom refractive-indexgratings (or ed image will be a faithful replica of the ortglnal picture. If the object beam holograms)within the crystal. If one hologramfrom onebeamexactlymatchis more intense than the other two beams, however, then the edges of the esoneof the hologramsfrom the other ~ other application that takes adbeam, then that hologram will grow reconstructed image will be enhanced. vantage of the energy-excbange The intensity of the object beam faster in strength than the pthers.The mechanismis a devicecalled a novelty filter, whichhighllghts what- varies locally in the crystal because the result Is that the two beams will be ever is changingin a highly complex beam contains an image. Hence, its in- connectedto eachother.1bis deviceIs scene.Suchdevicescan pick out mov- tensity will match that of the reference called a mutually pumped. or doubly mirror. ing airplanesagainsta backgroundof beam at every edgein tht>~imag«:,_be- pumped,phase-conjugate The device-first demonstrated in cause an edge contains a full range of buildings,a sportswomandiving into a 1987 by Fischer, now at the Techn1onintensities, from dark to bright. Wberstill pond or bacteriaswlmmlngagainst Israellnstitute of Technologyin HaIfa. and his co-workers.by RobertW.Eason and A.M.c. Smoutof the Universityof Essexin GreatBritain and subsequently by Mark D. Ewbankof the Rockwell International ScienceCenter in 1bousandOaks,Calif.-can connectany twO beamsoriginating from any direction. If the two beamscontain images,then eachimagewill be convertedinto the other as the beamstraversethe crystal (seeillustration on page74). If one beam Is pulsed rapidly, the temporal information is relayedback toward the other beam. If two beamscomefrom different lasers that oscillate at slightly different PARAMEcruMis hidden among algaeand debris (left), but when the sceneis viewed frequendes,then the beam from one through a novelty filter, only the swimming microorganism appears (right). Novlaser will be diverted into the approxelty ftlters can highlight any object that moves against a stationary background. "Ibis mter was designed by R. M. Pierce. R. Cudney, G. D. Bacher and j. Feinberg. imate coJijugate,or time-reversed,dt- es the incident laser light to be swept preferentially to one side of the crystal. If the incidentbeamand crystal are positioned so that the fanned beam is swept into a far comer of the crystal. the fannedbeamundergoestwo internal reflections, essentially folding back onto itself. This reflected beam fans again back along the direction of the incident beam. Out of all the scatteredbeamsinside the crystal, the time-reversedbeam-by virtue of its backwardtrajectory-gains more energy than the other scatteredbeams.This beam-reversalprocesscan be very emdent: 60 percentof the powerin the incident beamcan emergeas the phasecorijugatebeam. Oneof us (Pepper)hasaddedan additional twist to this novelphase-corijugatemirror. Pepperattachedelectrodes to a photorefractivecrystal to apply a time-varying electric field across the crystal. Whena laserbeamstrikes this crystal,it not only is time-reversedbut also can be pulsed in time Weea shutteredmirror. In this manner,pulsedinfonnation canbe relayedfrom the conjugate mirror back to the laser source; the time-reversednature of the beam guaranteesthat the two communication points remain locked onto each other. lbis schemecan be used to es. tablish a communicationschannelbetween two satell1tesor to relay information from a remotesensorplacedat one end of an optical fiber link (seeIllustrationon page70). 72 a background of motionless algae. One type of novelty filter demonstrated by Cronin-Golomb (now at Tufts University) involves two beams that illuminate a photorefractive crystal. An image is encoded spatially onto the first laser beam. The crystal is oriented so that this image-bearing beam transfers most of its energy to the second beam. After the image-bearing beam passes through the crystal. it becomes almost completely dark. Whenever something in the image-bearing beam changes, however, the energy-exchange mechanism is disturbed momentarily. and the part of the image beam that has changed will pass throughthe crystal.This part of the beam can then be viewed on a video monitor. Once the motion has ceased. the image-bearing beam will become dark once again after passing through the crystal. Photorefract1ve crystals can also be employed in other applications to enhance the edges of an image. An image is encoded onto an "object" beam. SCIENTIFIC AMERICANOctober 1990 - -- As workers increasethe concentration of the defects in a photorefractive ~ate~l, t~ey'ha~efound that the numoer 01 avauaole cnarges Increases thereby enhancing the strength of th~ internal electric field and the refractiveindex gratings. On the other hand, defects scatter and absorb light from the incident beams. Defect concentrations of from one to 100 parts per million appear to be optimal in terms of providing a reasonable number of charges without appreciably attenuating the input light. Perhaps the best photorefractive materials will be those painstakingly fashioned out of semiconductor materials. Stephen E. Ralph, David D. Nolte and Alastair M. Glass of AT&T Bell laboratories have recently shown that layers of gallium alwninum arsenide alloys only a few atoms thick can be assemPHOTOREFRACTIVECRYSTAL couples two laser beams, a process that may be bled into structures-called superlatexploited In communications systems, optical computers or other laser networks. tices and quantum wells-that exhibit a measurable photorefractlve effect. Such materials are currently being studied rection of the beamfrom the other la- crystals in the different materialsvary for their novel electrical properties and ser, and vice versa. If two such lasers greatly as wen: gallium arsenideand high speed of response. These crystals are optically connectedby a crystal, other semiconductorsaretypicallypho- may also lead to a new dass of intein thenearinfraredpart of grated processors based on optics and they can, under the proper conditions, tosensitive be made to oscillatecoherently,there- the optical spectnUn,whereasmost in- electronics. What makes photorefractive materiby locking the frequencyof the two la- sulators and organic compounds are als so promising for optical computing sers.With this scheme,workers hope sensitivein the visible spectrum. that thousands of semiconductor laA flurry of experimentscurrently in is their high sensitivity to light, couserscan be emdently combinedInto a progressaim to identify and possibly pled with their ability to connect light high-powersourceof coherentlight. control the defectsresponsiblefor the beams from different lasers and to photorefractlve effect in various crys- change one information pattern into T o construct better optical comtals. As an example,the sourceof the' another. The future of photorefractive ponents and devices. investigaphotorefractlve effect in barium tita- materials will depend on whether their tors are searching among the nate is an open question: many re- optical properties can be as meticumany different kinds of photorefracsearchersattribute the effect to the lously tailored as semiconductors are tive materials to find the most effident presenceof various ionization states today. Ideally, photorefractlve devices and reliable crystals. Photorefractlve of transition metal impurities such as would be integrated with semiconducmaterials vary greatly in their optical. iron, cobaltand manganese; oxygenva- tor lasers and detectors to form a sinelectrical and structural propertiescanciesin the lattice may also contrib- gle, compact device capable of processfor example, the insulator barium ti- ute to the-Charge:camers.In gallium ing m1ll1onsof bits of data simultanetanate. the semiconductor gallium ar- arsenide,on the other hand, the pho- ously in each microsecond, yielding a senide and the organic compound 2- torefractive effect is attributed to an total data-processing rate of trillions of cyclooctylamino-S-nitropyridine doped intrinsic lattice defect thought to be bits per second. with 7,7,8.8.-tetracyanoquinodbnethane. formed by a combinationof an arsenic These seemingly different materials atom replacing a gallium atom in the nonetheless exhibit similar photorelattice and an additional arsenicatom RJR1HER READING tractive effects. They all have a crys- placedin the samelattice cell, forming 0P11CAI. PHAsE C ONJUGATJON IN ~ tallattlce that is relatively easy to dis- the so-calledEL2 center. UFRAC11VE MATERJALS. jack Feinberl tort, and they all contain defects, which in Optfcall"ht.ue CDrIJugatIon. Edited by Regardlessof the character of the R. A. Ftsber. Academic Press. 1983. act as a source of charge earliers and crystalline defects, the properties of PHo'roREFRAC11VE NONUNEAR 0Pncs. charge traps. Under the influence of an most photorefractlve crystals can be jack Feinberg In Physics Today, Vol. 41. electric field, however, charges move altered by doping them with impuriNo. 10, pages 46-52; October. 1988. about 10,000 times faster in gallium ties or by drawingatomsout of the latPHOTORE.fRAC11VE MA TERJALS AND arsenide than they do in barium titice. For example,one of us (Feinberg) 'J'HEm APPuCA11ONS I " D: TOPICS IN tanate. For the same inddent light in- and StephenDucharmeof U.S.c.found APPUm PHYSICS. Volumes 61 and 62. tensity, therefore. the photorefractive that when a crystal of barium titanate Edited by P. GOnter and j.-P. HWgDard. SprinpT-Ver!ag. 1988. effect evolves much more rapidly in is heated in an oxygen-freeenvironNONUNEAll OPTICAL PHAsE CONJUGAgallium arsenide than it does in barium ment to removesomeoxygenfrom the 11ON. Special Issue. Guest edited by titanate. The resulting refractive-index crystal lattice,its photorefractlvepropDavid M. Pepper. IEEE journal of QIIaIIgrating Is not as strong in gallium ar- ertiesare alteredmarkedlybecausethe film EI«tronIcs, Vol 25. No.3. pages senide, however, as it is in barium tI- dominant chargecarriers are changed 312-647; March, 1989. tanate. The optical properties of the from holesto electrons. 74 Scn:N1m c AMERICAN October1990
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