TECHNICAL PROPOSAL

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Document Number (FOIA) /ESDN (CREST): 
CIA-RDP79B00873A002000010056-1
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RIPPUB
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K
Document Page Count: 
47
Document Creation Date: 
December 28, 2016
Document Release Date: 
November 8, 2012
Sequence Number: 
56
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Publication Date: 
March 1, 1965
Content Type: 
REPORT
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J Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 STAT UCorni~g Glass Works Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 STAT Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 ire CORNING GLASS WORKS THE UNITED STATES EOVERNMENT J Investigation of Improved Screens for Rear Projection Viewers.: March 1965 Corning Glass Works Electronic Products Division 3900 Electronics Drive Raleigh, North Carolina 27604 ,J . Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 r-7 Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 LJ I. INTRODUCTION B. Company Background in Optical-'Technblogy C. Materials Background 1. Photosensitive'Glass' 2. Porous Silica Glasses 3. Sintered Glass (MULTIFORM)" D. Company Experience 1. Photosensitive Glass' 2. Porous Silica Glass 3. Sintered Glass (MULTIFORM) 4. Optical Glass E. Attack to be Followed III. TECHNICAL DISCUSSION A. Introduction 1. Definitions a. Projection and.Measurement Units of Light b. Brightness Rear Projection.-Screens., a. State-of-the-Art b. Performance 3. B. Materials Approach to the?.Problem.?. 1. Passive Screens ? ? f. Fiber Optics g. Porous. Vycor d. Opal Glasses e. MULTIFORM Glasses.' a. Photosensitive- Glass. b. Heterogene ous.:...Materials; c. Polarizing Materials Hybrid Screens Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 ,., Declassified in Part - Sanitized Copy Approved for Release 2012/11/08 CIA-RDP79B00873A002000010056-1 IV. RECOMMENDED PROGRAM V. PERSONNEL VI. FACILITIES Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873A002000010056-1 Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 A. 'Objective Corning Glass Works wishes to'propose that a study be made of the various *glass and glass ceramic materials which may prove of value as basic materials for constructing improved rear projection screens. The'work that will be done will include only available materials and processes. Thus, what- ever success is achieved will be transferable with little delay to practical screens. Small excursions into variations of existing materials will be made as necessary to point the directions for further work. This proposal is written in response*to the "Development Objectives, Improved Screens for Rear Projection Viewers" dated March 17, 1964. 'B. Background in Optical. Technology Corning has a broad background in'optics stemming from over a half century experience.as a supplier of optical glass for scientific, signal, and ophthalmic applications. Some recent projects which have required an excellent knowledge of optical technology are the production of massive optics for Schlieren windows and for aerial camera lenses. Currently, work is being conducted in the Electronics Laboratory at Raleigh in the field of holographic images.' This has led to the generation of a high degree of competency in handling coherent light as well as the acquisition of some highly precise optical apparatus. This is, discussed more fully in a later paragraph on "Facilities". Materials Background While Corning's demonstrated abilities in optical technology are important to the success of this project, perhaps the greatest contributions the. Company.. can make is in the field of materials technology. :Prior work, as reported by Bausch and Lomb (1), has consisted of evaluating conventional diffusing surfaces. Part of the work proposed herein will also consist of evaluation but it. will be on surfaces and bodies which are unique and which are created by selective molecular changes in the material itself. It is recommended that this initial study be. limited'to available materials which have never been examined for their optical and diffusion. properties. The conventional', and exotic optical glass are obvious candidates for such a study. In addition there are other Corning materials . whose' optical properties can be altered by what might be called, molecular manipulation. There are two general categories of such glasses and glass Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 I ~j b. Processing ? Practical glasses of these types have their greatest sensitivity-.in..the ultra-violet. Exposure through UV transmitting negatives can result in: the formation of latent images in the.glass with photographic accuracy and resolution. Since the.glass sections generally employed have. significant thickness, and because'the nucleating process takes place throughout the entire'.volume, it is for most applications.essential'to have parallel light. The latent image is then "developed" by heat treating for minutes.or hours at several hundred degrees centigrade. Depending on the combination of exposure and thermal treatment, a variety of property changes can be'. created. If the integrated .treatment'forms only colloidal metal particles in the glass,.'a range of transparent colors from red to blue will result. The colors may be made so saturated that transparency is lost. Another result of certain combinations of treatments is''the 'rowing'of crystals around the nuclei which, by light diffusion, form a white opaque phase. .In addition to promising interesting. optical possibilities, this phase is also comparatively.-soluble in hydrofluoric acid." Since?.the opal phase formation is a Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 ceramics which would seem to offer the most promise. 1. Photosensitive Glass ' a. Unique Characteristics Photosensitive glass,?as the name implies, is sensitive to light. In compounding such glasses, the photosensitive metals, gold, silver or copper are introduced. In addi- tion, other materials. known as "optical sensitizers" and "thermal-reducing agents" are included.. Such compositions typically respond to exposure to-certain wave lengths by forming small colloidal metal particle nuclei. Subsequent heating of the glass then encourages the'growth of small crystals around the nuclei. Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 volume effect-it.is possible to selectively etch it away creating ' cavities or holes with accuracy and resolution limited mainly. by the negatives . used. for exposure. r7l Detailed studies have. been made of the forma- tion of the opaque etchable phase. For practical'consideration in processing, the optimum sized ' crystal. is 4 - 5 microns. Recognizing now that subsequent cycles of exposure, heat treatment and etch may be employed, it.is evident that one can create an unlimited. combination of optical paths through the screen. 2. Porous Silica Glasses Certain glass compositions in the borosilicate family, upon heat treating,'.will separate into two phases; one, a silica network and the 'other a composition soluble in hydrochloric. acid. This soluble phase can be leached away leaving a 'rigid cellular permeable structure. The pores in this.,le.ached body are twenty to forty angstrom units in.dameter.. The void volume amounts to about 30% of'..the'.:total. The whole body need not be leached. Interesting optical effects have been produced by leaching-only.a thin surface layer and impregnating with'other.substances. 3. Sintered Glass :.' . ' . '. ' Glasses of many compositions. can be finely powdered, pressed into desired shapes,. and reconsolidated by sintering. The resultin'g.articles are vitreous and can be clear or opaque,. depending on the method of firing. Again, depending'on processing., the bodies may be completely impervious-or may have a degree of porosity. Pore-sizes can be'controlled to maximum values ranging from.l:4.to 220 microns. JD., Company Experience Photosensitive Glass' While present automatic processing equipment limits one dimension of any article to 16", large aperture masks for 21" color TV tubes were.one-time made. These contained hexagonal holes-of 0.008" diameter on 0.028'! centers. The 21" mask had over 500,000 holes. Fine Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873A002000010056-1 Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 i2 -4/0 109(' screens of*300 mesh have been made routinely and `1000 mesh has been made on a laboratory basis. Since these required through holes they were necessarily quite thin, limiting their overall dimensions to about.'a 2" circle. If only surface indentations were required, the overall size would be limited only by the glass forming and handling equipment.. A concurrent project at the Bradford facility involves photosensitive glass in the half tone printing process.- Reticulated surfaces of 150 -ine pairs per inch. are being used. This does not in any way tax the capability-of the material. 2. Porous Silica Glass... Corning has manufactured and.sold porous glass, for a number ofyears, for use in applications where moisture-gettering is required. Some experience has been gained in impregnating with various materials but there are no standard products manufactured. Sintered Glass (MULTIFORM) Products made by this process have been marketed for over ten years. A plant in-Corning, New York, is devoted entirely to:MULTIFORM. A great range of glass properties and geometries can-be realized. 4. Optical Glass Hundreds of glass compositions of a great range of optical properties are melted in the Company's Herrodsburg, Kentucky, plant. Sizes range from blanks for opthalmic lenses to radiation shielding windows weighing tons. E. Attack to be Followed The project will be divided into three phases, the first of which will be a study of all available literature. The second part will be the theoretical investigation in which the many theories of light. scattering are reviewed for applicability and relate' to the properties of available materials. Finally, the most feasible approaches will be tested experimentally. Throughout the course of the work documentation will be maintained and periodic reports wi?ll.be submitted. While the major effort will be 'on ?.the applications of available materials, the need for,-and properties of new Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 f1 ~ Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 materials will be given attention.','Concepts for active screens will also be considered;.-should'they arise. At the conclusion of 'the first two phases, it would be considered desirable to confer with'~the' contracting agency bef ore going on to the next step. fl of 1 Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 The theoretical study is expected to..indicate what features of the available materials will be.of the greatest value in achieving the objectives. The experimental part of'the project will provide the opportunity to test the theoretical: conclusions. It is entirely possible, too, that the experimental'-wo.rk may yield some un- expected beneficial properties that'can.,be used to enhance the theoretical approach. " '? OF It is expected-to be,possible to combine.the desirable properties to optimize the performance against, the?,:ob.jectives for, appearance, ? efficiency, contrast and resolution'. It. is impossible, at this time, of?course, to predict with great accuracy';how'closely all the ob- jectives will be met and what trade-offs?may have to be made. It would be desirable to discuss this.with'-the contracting agency at the proper time.' II. RESULTS EXPECTED In the course of the experimental work,-'samples will be built for evaluation which later can be turned over 'to the contracting agency. Where-exceptionally good results are realized every effort will be made to provide the agency with.;a practical sized sample. It is not unreasonable to expect that new concepts for active screens will evolve as the work progresses.. The materials requirements would .. very. probably be beyond the'scope of the present project. Due note -will be made should such an.occasion..ari'se which could serve as the .--basis for Corning initiating new materials research and possibly providing the base for- a subsequent . pro:jec:t. Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 Rear projection is a technique employed in visual presen- tations, where an observer`is'located on one side of a tranaluoent and dlffusing'screen;.''and the optical image projector on the other. Well-known examples are view cameras, reflex cameras, microfilm readers, background scenes in motion.pictures and certain electronic data displays. The observer has a certain amount of freedom to move around while observing the''display and does not run the risk of interposing himself between the projector and the screen, which would'causea shadow and loss of the display. However, the advantages of: rear .pr;ojection over front projection, in which observer-and--projector are on the same side of the'screen, are obtained: at the expense of reduced brightness, viewing angle..,,picture definition, contrast and tolerance of ambient illumination. Except for a recent study carried out by Bausch and Lomb. (1), relatively little quantitative.data.,ar'e available about the diffusion characteristic of available rear projection screens. This .s an area where pirical techniques have yielded oo fnr cnma in=a ized applications in the ,past",: but where a thoroiz_gh'scientific s udy of new? materials'may st;ll_be expected to yield significant improvements, fl 1. Definitions The following two subsections deal with the projection of light and some',general re- lationships encountered.in.the:measurement of light intensity and brightness.. a. Projection and. Measurement Units of Light -The function of a light, projector is to gather as much':light a ,s, possible from the light output'of a suitable source and-to- project this light into a desired direction. Since an imaging capability is also'required, the optical system is '.somewhat more complicated than that of a'simple light collimator. A typical`projection system (2) is shown schematically in Fig..'.1. 'The intensity of the projected light is Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 r- Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 lJ measured in.terms of foot-candles. This is the most commonly used photometric unit. To gain a quantitative. feeling for this intensity; or;illumination, it is helpful to recall, that the-maximum illumination outdoors due to both sunlight and sky light is approximately.10',000 foot-candles. This may range.. down :to 1.,000 ,and 100 foot-candles for dark or very dark.days (3). Indoor levels of` illumination are of the order of 10:-20 foot candles.... The'f oot-candle is'derived from the basic unit for the'lunimous.output of a lamp, the candela,-which.in turn,-is defined as the sixtieth part.-of the Xntensity of a square centimeter of-a black body radiator at the the temperature of-freezing platinum (2047? K) A light source of:-one candela output, which radiates light,equally''in all directions, will produce an illumination of one foot- candle, or one lumen per square foot, at the surface of 'a .'sphere, which is concentric with the , source)" and .which has a radius of one foot.. At' a. distahce of, one meter, the illumination will be.one'.lumen per square meter, or one lux. These relationships are shown graphically' in- F g..2. Since the concept. of'light involves the .sensitivity response';of:the human eye, there is no `one-to-one equivalent between light intensity and'power'denisity as one is accustomed to.in other'por'tions of the electromagnetic spectrum.- Futhermore, light is almost never;' monochromatic, as microwave radiation;'for example, usually is. However, it is useful' :to remember the re- lationship at' the. wavelength of peak visual sensitivity, namely' 555.millimicrons, where one watt corresponds-to approximately 682 lumens. .The light projector is used in conjunction with some screen whi.ch.intercepts and displays the image contained'in?the'projected light beam. The total amount 'of ' light thus inter- cepted is the' product .of .the average illu- -mination in foot-candles. and the screen area in square feet, i.e.,'.: Total light (1m) = AVg. Illum, (ft-c) x Ilium, Area. (s~ft):. ,, Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 0 it The human eye.. does not see light or illumination itself. Rather.,.it.se.es reflected or emitted light from area sources. Unlike' illumination, brightness does not change with distance from the surface 'those brightness the eye is per- ceiving. ?This.is so because the eye is not only an imaging system, but also the optical equivalent of-:'an extremely high-gain (in excess of 80 db) antenna through its resolving power of less than one. minute of arc. Thus, although the power received from an elemental.. area of the surface decreases as the square of the distance`,., the area'on.the retina correspond- ing to that elemental surface portion also de- creases in the same measure. Hence, the power density, or. illumination, on that part of the retina remains the same.. The.measure for brightness is the foot-lambert. It is the brightness of.a surface which emits or reflects perfectly diffuse light at the rate of one: lumen per square foot of area. In the case of the perfectly reflecting and dif- fusing. ' screen; 'this, means a brightness of one .foot-lambert per foot-candle of incident il- luminati on.. The term "'perfectly: diffuse" light refers to the.light emitted or reflected by a surface which'obeys.the Lambert~Cosine Law. The light-intensity i's-proportional to the cosine of the angle between the direction of emission and-the normal to.the?surface. An element of a surface.which obeys.-this law will appear equally bright. when .observed from any direction. Minimum brightness for-.good pictorial repre- sentation is of the .order of 10 foot-lamberts for the brightest 'spots'--of the image, and 0.1 foot-lamberts.: for? -the darkest spots,. corresponding?to.a contrast ratio of 100 to' 1. Non-image (background-?or ambient) illumination should'result.in'a.brightness not. exceeding 0.02 foot-lamberts."` A; contrast ratio of 25 to 1 is sufficient for.-.positive printed or line material, and`. :a ratio .6f 5 'to 10 to .1 for negative.-(white letters on black background) print.. : ' . . For?'higher ambient brightness such as the 5 foot-lamberts mentioned in-the development. Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 objectives, the contrast ratio will have to be considerably higher.-' Rear Projection Screens Most ' of the work which. has thus far been done to develop high-quality rear projection screens has been in trig ,area of large displays. The best known example of this nature are the very large (up to 40 x 80 ft.) screens used for background scenes during the filming of motion pictures. Wide use is made of such techniques as Fresnel screens and lenticular screens (6). Optimum procedures have been worked out to arrive at solutions fitting the sometimes conflicting requirements regarding screen brightness, contrast, re- . flection factor, gain,. bend angle and picture size, to' the limitations dictated by ambient light, projection'lens focal length and projector lumen output.-(5). The field of small display rear projection systems with its different requirements has received much. less attention. This encompasses primarily view cameras and microfilm readers e The requirements in-these display systems have been not..nearly as demanding as in large displays. Among the reasons for this are: a) lower power,.and hence lower efficiency requirements, because of the small screen size. lower tolerance to ambient light ..was required, because the equipment could be operated in a darkened room (film. reader), or special measures could be taken to eliminate ambient light.(e.g.,, photographer's :cloth used in. view cameras). J c)` less stringent requirements in terms -of..unirorm.diffusion and large bend .angle,:because the screen was usually ;. viewed. by only. one observer who could adjust his position to attain' optimum location and view angle. The main concern in..the technical perfection of these Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 r~ rte. n Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 small screens has been to provide uniform brightness - ,in the direction of the observer. across the entire screen. This is usually-'don'e- with a thin Fresnel lens in contact with the back surface which has the effect of bending the gaih.:lobe of the diffused light toward the observer. A good deal-of development work still remains to be done to achieve higher efficiency and uniform diffusion over' a- larger angle. In most conventional screens thes.e..requirements conflict, but this need not be so from-..a theoretical view point. Some analysis work is required to better understand -and improve the scattering, process and will be carried out in the course.of this study. In rear projection screens one is primarily interested in.the diffusely transmitted light, rather than in the diffusely reflected light which is important in-front projection screens. Aside from that,'the technical considerations are quite similar. The overall efficiency of rear projection screens is significantly lower due to transmission and scattering losses, as well-as due to the portion of the light reflected from the front surface, which is completely lost for the rear projection display. The concept of a perfectly diffusing reflector may also be applied.to the case of rear pro- jection. There,.the ideal case would be a surface which.exhibits a uniform brightness of one foot-lambert regardless of viewing angle for each foot-candle of incident illumination from the other side. Such a perfectly diffusing screen is said to have a gain of unity. In practice, most surfaces-have a higher brightness when viewed from certain directions, with a necessarily lower brightness when viewed from other directions. The gain in each direction is defined as. the ratio . of observed brightness in foot-lamberts to- incident illumination in foot-candles:.. Gain = foot-lamberts/foot-candles This is illustrated for atypical rear-projection screen in Fig. 3. The observers, depending on whether they are in a Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 4I n Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873A002000010056-1 r! ._. direct line with'the.pr.ojector (Observer 1), or looking at the screen at a more or less large.angle with-this principal axis, see a brightness.corresponding, in this example, to a screen gain "of 3;,. 1.4 and 0.4 for Observers 1,2, And-3i respectively. The gain falls off with increasing angles from the principal axis because ',of imperfect diffusion in the screen. This is indicated by the length of the arrows. The' d'i'stribution lobe for a per- fectly diffusing 'screen would be a circle. The illumination at point A"in this example was -.assumed to be-10 foot-candles. The angle between the observe'r's direction of view and the principal axis. .is .called bend angle. The gain as a function of.the'bend angle is shown for a number of practical.screens (5) in Fig. 4. The lowest curve"in',Fig. 4 shows almost uniform gain; hence this.screen.is an almost perfect diffuser. However,'the fact that the gain is much less than unity'indicates the losses which are invariably present-in-the rear projection case. These are due to reflection on the projector side, and to absorption'in the screen. Usually, low absorption, or.high-transmission (80-90%), is accompanied by low' diffusion (high gain) and vice versa. Thus, the 'desirable goal of both high transmission and high diffusion is usually not attained in one ancl.the same screen. Some useful development work...toward reaching a com- promise between these?two.usually conflicting requirements can still be done, and will constitute one of the: major aspects of the task to be carried out. -A useful figure of merit for rear projection screens is the bend ahgle.at which the gain has fallen to 50% of its peak value. This is similar to the half-power'beam width familiar from micro- wave and optical collimation systems. Similarly, the one-third'power angles can be established. Usually, the higher the?peak gain,. the lower the 50% and 33% bend-angles. These relationships are plotted for typical screens in Fig. 5, which also contains-.a typical graph of reflection factor vs peak gain. The latter is the ratio of re-radiated to incident ambient illumination on the observer side of the screen. Hence, the lower the reflection factor, the greater-the tolerance of the screen to ambient (room) light.' Theoretical-Considerations ' The proposed development study on new or improved rear Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873A002000010056-1 Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 Z=N1rr R2 f projection screens will involve not only experimental work, but also, and.-perhaps.. more.importantly, a thorough. theoretical investigation of the basic mechanisms involved.'.in the. transfer of the image from the projector to the. observer side of the screen, and the diffuse reradiation of the image on the observer side. In addition"-.*, a- literature and patent search wl e conducted.-TS-e. ec anism of dif usion may be brought about in::two principally di eren a First, one may consider'the case of a material which is heterogeneous throughout-:. A simplified model is that of a-clear, transparent host material, which has suspended in it a random. arrangement of spherical particles of. a refractive 'index different than that of the host material. .The resulting scatter properties are governed by turbidity of the material has been investigated by Mie;;..(7),,for-.a 'density' of N spheres of. radius R.per unit volume:..:..:. : and A 1 = )/n, , the.wavelength of the light in the medium. The expression:?f(x)'-.'in Equ. (1) is a compli- cated function for which-the-following extreme cases f(x) x f (x) d- x f (x) 2 for-.,-x. < c 1 (3) for : x 1. (4) for 'x'~. 1 (5) Equ. (3) is the well-known result for Rayleigh scattering by particles small compared to the wave- length. The'scattering-is proportional to the inverse fourth power of,the wavelength.'. For the diffusing screens., considered in this study, cases (4) and (5) will be of.greater interest. The latter is usually referred to.as Mie scattering, caused by particles large compared'.to'the wavelength. Its principal characteristic,is:';thb .fact that it is' non- dispersive-, i.e the sattei.nc dog e wavelength. As a conseque ce-,_color nf ormat on-is,_ ,o, preserved. Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 Li HI fl 7 n i Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 and formulae. The other main .diffusion mechanism is through treatment of the surface (front or back, or both). Frosted glass is one example'.- The scattering or diffusion here depends on the so-called Rayleigh Criterion.concerning.the diffuse reflection from rough surfaces as a?-function of the incident angle. An analytical method'to?'des.cribe screen properties has been'proposed'by Hill.(8). Following the notation of Sears-(g)- one may state. the, following definition Definitionsi F, luminous flux;..... I, luminous intensity or'flux per unit solid angle; B, luminance (brig'htnes.s)'i E, illuminance or'.flux per?'unit area received at a surface; and-.*.., L, luminous emittance or total flux emitted per. Defining equations: I = DF -where w is solid-angle with vertex at source; da , where. B ::is angle with normal dw 0. E = df I,& Cos B = ' A I O : ; :. and r 2 to-surface;. A A cos 6 L= 4F , F is pA total.'emitted flux. The essence of Hill's method'is the use of an empirical "shape factor" s to-'..modify Lambert's law. The following equations compare intensity snd brightness for a surface which follows Lambert's law;. with one which is direc- tional but-for which the intensity falls off in proportion to some.power s:.of the, cosine of the angle with the normal to the: surface.. ' IB Io cos O I 8 = Io coss A Lambert Surface 'Directional Diffuser B g = . BL Be = BD cos Here BL represents the' brightness of the Lambert surface, and BD the normal brightness. of.the directional surface. Declassified in Part - Sanitized Copy Approved for Release 2012/11/08: CIA-RDP79B00873AO02000010056-1 Declassified in Part - Sanitized Copy Approved for Release 2012/11/08 CIA-RDP79B00873AO02000010056-1 The illuminance of 'flux received per unit area at a point not on the screen illuminated by a circular area of the screen whose center is at the foot of the perpendicular from the point and whose radius subtends an angle X at the point is found by integration to be; EL = BLsin2 d