The new approach to identification of film reflecting holographic marks

The new approach for creation of film reflecting holographic marks for optical security is proposed. Such marks are replicas of a reflecting master hologram recorded on a chalcogenide glass layer. To receive the master hologram, the joint power spectrum of a reference phase mask and an input phas...

Повний опис

Збережено в:
Бібліографічні деталі
Дата:2011
Автори: Kostyukevych, S.O., Muravsky, L.I., Fitio, V.M., Voronyak, T.I., Shepeliavyi, P.E., Kostyukevych, K.V., Moskalenko, N.L., Pogoda, V.I.
Формат: Стаття
Мова:English
Опубліковано: Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України 2011
Назва видання:Semiconductor Physics Quantum Electronics & Optoelectronics
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/117761
Теги: Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:The new approach to identification of film reflecting holographic marks / S.O. Kostyukevych , L.I. Muravsky, V.M. Fitio, T.I. Voronyak, P.E. Shepeliavyi, K.V. Kostyukevych, N.L. Moskalenko, V.I. Pogoda // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2011. — Т. 14, № 3. — С. 350-356. — Бібліогр.: 13 назв. — англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id irk-123456789-117761
record_format dspace
spelling irk-123456789-1177612017-05-27T03:04:43Z The new approach to identification of film reflecting holographic marks Kostyukevych, S.O. Muravsky, L.I. Fitio, V.M. Voronyak, T.I. Shepeliavyi, P.E. Kostyukevych, K.V. Moskalenko, N.L. Pogoda, V.I. The new approach for creation of film reflecting holographic marks for optical security is proposed. Such marks are replicas of a reflecting master hologram recorded on a chalcogenide glass layer. To receive the master hologram, the joint power spectrum of a reference phase mask and an input phase mask or a transformed phase mask is produced at the plane of the hologram writing and is modulated by an inclined laser beam. If an inclined laser beam illuminates the replica recorded on a flexible substrate, phase noise including speckle noise is eliminated because the hologram carrier frequency exceeds greatly the limiting frequency of the phase noise power spectrum. Experimental results have shown the principal possibility to produce the high performance film reflecting holographic marks for security applications. The proposed approach can be combined with technologies for fabrication of rainbow holograms. In this case, the received rainbow holograms are the reflecting holographic marks simultaneously. Therefore, they can be verified not only visually, but also by means of automatic identification. 2011 Article The new approach to identification of film reflecting holographic marks / S.O. Kostyukevych , L.I. Muravsky, V.M. Fitio, T.I. Voronyak, P.E. Shepeliavyi, K.V. Kostyukevych, N.L. Moskalenko, V.I. Pogoda // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2011. — Т. 14, № 3. — С. 350-356. — Бібліогр.: 13 назв. — англ. 1560-8034 PACS 06.20.Fb; 02.60.Ed; 02.60.Gf; 07.20.Dt http://dspace.nbuv.gov.ua/handle/123456789/117761 en Semiconductor Physics Quantum Electronics & Optoelectronics Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description The new approach for creation of film reflecting holographic marks for optical security is proposed. Such marks are replicas of a reflecting master hologram recorded on a chalcogenide glass layer. To receive the master hologram, the joint power spectrum of a reference phase mask and an input phase mask or a transformed phase mask is produced at the plane of the hologram writing and is modulated by an inclined laser beam. If an inclined laser beam illuminates the replica recorded on a flexible substrate, phase noise including speckle noise is eliminated because the hologram carrier frequency exceeds greatly the limiting frequency of the phase noise power spectrum. Experimental results have shown the principal possibility to produce the high performance film reflecting holographic marks for security applications. The proposed approach can be combined with technologies for fabrication of rainbow holograms. In this case, the received rainbow holograms are the reflecting holographic marks simultaneously. Therefore, they can be verified not only visually, but also by means of automatic identification.
format Article
author Kostyukevych, S.O.
Muravsky, L.I.
Fitio, V.M.
Voronyak, T.I.
Shepeliavyi, P.E.
Kostyukevych, K.V.
Moskalenko, N.L.
Pogoda, V.I.
spellingShingle Kostyukevych, S.O.
Muravsky, L.I.
Fitio, V.M.
Voronyak, T.I.
Shepeliavyi, P.E.
Kostyukevych, K.V.
Moskalenko, N.L.
Pogoda, V.I.
The new approach to identification of film reflecting holographic marks
Semiconductor Physics Quantum Electronics & Optoelectronics
author_facet Kostyukevych, S.O.
Muravsky, L.I.
Fitio, V.M.
Voronyak, T.I.
Shepeliavyi, P.E.
Kostyukevych, K.V.
Moskalenko, N.L.
Pogoda, V.I.
author_sort Kostyukevych, S.O.
title The new approach to identification of film reflecting holographic marks
title_short The new approach to identification of film reflecting holographic marks
title_full The new approach to identification of film reflecting holographic marks
title_fullStr The new approach to identification of film reflecting holographic marks
title_full_unstemmed The new approach to identification of film reflecting holographic marks
title_sort new approach to identification of film reflecting holographic marks
publisher Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України
publishDate 2011
url http://dspace.nbuv.gov.ua/handle/123456789/117761
citation_txt The new approach to identification of film reflecting holographic marks / S.O. Kostyukevych , L.I. Muravsky, V.M. Fitio, T.I. Voronyak, P.E. Shepeliavyi, K.V. Kostyukevych, N.L. Moskalenko, V.I. Pogoda // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2011. — Т. 14, № 3. — С. 350-356. — Бібліогр.: 13 назв. — англ.
series Semiconductor Physics Quantum Electronics & Optoelectronics
work_keys_str_mv AT kostyukevychso thenewapproachtoidentificationoffilmreflectingholographicmarks
AT muravskyli thenewapproachtoidentificationoffilmreflectingholographicmarks
AT fitiovm thenewapproachtoidentificationoffilmreflectingholographicmarks
AT voronyakti thenewapproachtoidentificationoffilmreflectingholographicmarks
AT shepeliavyipe thenewapproachtoidentificationoffilmreflectingholographicmarks
AT kostyukevychkv thenewapproachtoidentificationoffilmreflectingholographicmarks
AT moskalenkonl thenewapproachtoidentificationoffilmreflectingholographicmarks
AT pogodavi thenewapproachtoidentificationoffilmreflectingholographicmarks
AT kostyukevychso newapproachtoidentificationoffilmreflectingholographicmarks
AT muravskyli newapproachtoidentificationoffilmreflectingholographicmarks
AT fitiovm newapproachtoidentificationoffilmreflectingholographicmarks
AT voronyakti newapproachtoidentificationoffilmreflectingholographicmarks
AT shepeliavyipe newapproachtoidentificationoffilmreflectingholographicmarks
AT kostyukevychkv newapproachtoidentificationoffilmreflectingholographicmarks
AT moskalenkonl newapproachtoidentificationoffilmreflectingholographicmarks
AT pogodavi newapproachtoidentificationoffilmreflectingholographicmarks
first_indexed 2025-07-08T12:45:34Z
last_indexed 2025-07-08T12:45:34Z
_version_ 1837082857230565376
fulltext Semiconductor Physics, Quantum Electronics & Optoelectronics, 2011. V. 14, N 3. P. 350-356. PACS 06.20.Fb; 02.60.Ed; 02.60.Gf; 07.20.Dt The new approach to identification of film reflecting holographic marks S.O. Kostyukevycha, L.I. Muravskyb*, V.M. Fitioc, T.I. Voronyakb, P.E. Shepeliavyia, K.V. Kostyukevycha, N.L. Moskalenkoa, V.I. Pogodaa aV.Lashkaryov Inst. of Semicond. Physics of the Nat. Acad. Sci. of Ukraine, Kyiv 03028, Ukraine bKarpenko Physico-Mechanical Inst. of the Nat. Acad. Sci. of Ukraine, Lviv 79601, Ukraine cNational University “Lvivska Polytechnica”, Lviv 79013, Ukraine *dep24@ah.ipm.lviv.ua; phone +380 322-633388; fax +380 322-649427 Abstract. The new approach for creation of film reflecting holographic marks for optical security is proposed. Such marks are replicas of a reflecting master hologram recorded on a chalcogenide glass layer. To receive the master hologram, the joint power spectrum of a reference phase mask and an input phase mask or a transformed phase mask is produced at the plane of the hologram writing and is modulated by an inclined laser beam. If an inclined laser beam illuminates the replica recorded on a flexible substrate, phase noise including speckle noise is eliminated because the hologram carrier frequency exceeds greatly the limiting frequency of the phase noise power spectrum. Experimental results have shown the principal possibility to produce the high performance film reflecting holographic marks for security applications. The proposed approach can be combined with technologies for fabrication of rainbow holograms. In this case, the received rainbow holograms are the reflecting holographic marks simultaneously. Therefore, they can be verified not only visually, but also by means of automatic identification. Keywords: reflecting holographic mark, chalcogenide glass layer, joint transform correlator, phase mask, transformed phase mask, optimum exposure, correlation peak, identification, security verification. Manuscript received 31.01.11; accepted for publication 14.09.11; published online 21.09.11 1. Introduction Recently, identification and security verification of different products, things and documents by optical methods and means are developed intensively.1-3 The optical methods and systems possess large possibilities to resist the counterfeiting due to the parallel encoding- decoding of large amount of information and, in particular, 2D and 3D arrays. The techniques utilizing random phase masks simultaneously with fingerprints,2-7 in particular, the security verification technique2,4 and the method for optical protection and identification of documents,6,7 are very perspective among optical security technologies. Mentioned above techniques ensure reliable protection only of such objects, which can contain random phase masks frequently combined with fingerprints. Meanwhile, the majority of hardware products and things are not suitable for protection by transparent optical marks. One of possible solutions of this problem is the creation of a reflecting optical mark by recording a joint power spectrum (JPS) of a transformed and reference phase masks on a chalcogenide glass As40S40Se20 at the first stage of a joint transform correlator (JTC) scheme.8 The resulting reflecting optical mark is fabricated as a copy of the written JPS. However, reflecting optical marks can be copied only on a solid substrate. So, only solid surfaces of objects to be protected from counterfeiting can be used for bonding of such marks. If the written JPS is copied on a film substrate, the optical beam reflecting from its surface does not reconstruct satisfactorily the correlation peaks in the first diffraction orders of the JTC output plane due to influence of power spectrum density of phase noise (including speckle noise) caused by any microdeformation of a film layer and its optically © 2011, V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine 350 mailto:dep24@ah.ipm.lviv.ua; Semiconductor Physics, Quantum Electronics & Optoelectronics, 2011. V. 14, N 3. P. 350-356. © 2011, V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine rough surface. The phase noise power spectrum density is band limited. For example, the highest spatial frequency of the wideband speckle noise power spectrum density is equal to resolution limit of an aberration-free Fourier lens9 used in the JTC first stage. To separate the phase noise power spectrum from a JPS of an input and a random phase mask, we propose to record a reflecting Fourier hologram on a chalcogenide glass As40S60-xSex layer, where х = 0,10,20. Such hologram can be considered as a master hologram used for replication of film reflecting holographic marks (RHMs). Each RHM is suitable for reconstruction of correlation peaks, if it is illuminated by an inclined laser beam. 2. Conditions of master hologram recording and reconstruction As shown in our previous paper8, procedures of a reflecting optical mark fabrication and its identification can be realized on the basis of a JTC architecture. The first stage of this correlator was used to produce a reflecting optical mark written on a solid substrate, for example, on a chalcogenide glass As40S40Se20 layer. In linear approximation, this mark can be considered as a JPS of an input transformed phase mask and a reference phase mask. The JTC second stage was used for identification of this mark. Our approach is differed from previous only by using the inclined reference parallel laser beam to produce the reflecting master hologram. The carrier frequency of this beam should exceed greatly the upper frequency of a phase noise power spectrum. Both a phase mask and a transformed phase mask can be used as an input mask to produce a master hologram. The arrangement for recording of a master hologram is shown in Fig. 1. To identify the RHM replicated on a flexible substrate, the parallel laser beam illuminates the RHM surface. If the slope angle of this beam is identical to the slope angle of the writing beam, the desired spectral response containing Fourier spectra of an input and reference masks is reconstructed along an optical axis normal to the plane of the RHM placing. If a phase mask is used as an input mask, the identification criteria are based only on the intensity of one correlation peak.4,5 If a transformed phase mask is used as an input mask, the identification criteria became considerably larger than in the first case, because the quantity of output correlation peaks is equal to quantity of separate fragments of the transformed phase mask. In this case, not only peak intensities, but also vector distances between peaks can be regarded as identification criteria.6,7 Let us consider briefly the linear and nonlinear models of such the RHM’s producing and identification. y0 φ f r(x,y) s(x,y) y0 CGP FTL L CL BS M η0 2rA Fig. 1. Optical arrangement for a master hologram writing on a chalcogenide glass layers As40S60-xSex: L - He-Cd laser ΛΓ-70; CL - collimating lens; BS - beam splitter; M - mirror; FTL - Fourier transform lens; CGP - chalcogenide glass plate. 2.1. Linear model. To simplify calculations, we consider only the deterministic model of a binary phase mask. Let the rectangular binary phase mask consists of NM × identical rectangular pixels and the mask size is equal ba× NbMa× . Then the complex amplitude transmittance of each pixel can be expressed as ( )[ ]nyymxxj b nyy a mxx rectyxnmt −− ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ −− = ,exp ,),(, θ , (1) where ( )1 2 +−= Mccmxm , ( 1 2 ++−= Nddnyn ) are the coordinates of the pixel center; ; Mm ,...,2,1= Nn ,...,2,1= ; θ is the pixel phase equal to lπ2 or ππ +l2 , ,...2,1,0=l . 351 Semiconductor Physics, Quantum Electronics & Optoelectronics, 2011. V. 14, N 3. P. 350-356. Let a reference phase mask r and an input phase mask s are entered into an input plane (x,y) of a conventional JTC (see Fig. 1). If these masks are identical, they can be expressed as7,8 ),( yxr ,, , 0 1 1 0 ⎥ ⎦ ⎤ ⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ +−− − −⎢ ⎣ ⎡ ⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ +−− = −− = = ++∑∑ b yyy a xx rect b yyy a xx rect nm M m N n nm (2) © 2011, V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine =),( yxs ,, , 0 1 1 0 ⎥ ⎦ ⎤ ⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ −−− − −⎢ ⎣ ⎡ ⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ −−− −− = = ++∑∑ b yyy a xx rect b yyy a xx rect nm M m N n nm (3) where xm+, yn+ are the coordinates of the pixel with the complex transmittance ; x1, +=nmt m-, yn- are the coordinates of the pixel with the complex transmittance ; 2y1, −=nmt 0 is the distance between two masks. Let us the inclined parallel laser beam illuminating the chalcogenide glass plate disposed in the JTC frequency domain is expressed by next equation: ( ) ( )vyjAvH hπ2exp0 −= , (4) where v is the spatial frequency along the axis η r in the Fourier plane, ϕtgfyh ⋅= , ϕ is the angle of the parallel laser beam inclination to the optical axis of the JTC first stage, f is the focal length of a Fourier transform lens (see Fig. 1). If a reflecting photosensitive material disposed in the JTC Fourier plane is linear and the complex amplitude transmittances of input and reference phase masks are identical, i.e. =( )0, yyxr − ( )0, yyxs + , the intensity distribution of the reconstructed interference pattern recorded on this material is proportional to ( ) ( ) ( ) ( ) =−++= 2 0 2 2exp,,, vyjAvuSvuRvuT hπ +++++ SRRSASSRR **** 2 0 + ( ) ( )[ ]++ ∗∗ vyjSAvyjRA hh ππ 2exp2exp 00 ( ) ( )[ ]vyjASvyjAR hh ππ 2exp*2exp* 00 −+− , (5) where * is the complex conjugation symbol, ( ) ( )[ ] ( ) ( ) ( ) ( ) ( ) ,,j2expsinsin ,, ,0 vuWvybvcaucab yxrFvuR nmπ= == ( ) ( )[ ] ( ) ( ) ( ) ( ) ( ) , ,j2-exp sinsin,, ,0 vuWvy bvcaucabyxsFvuS nmπ× ×== ( ) =vuW nm ,, ( ) ([ ( ) ( )] ,2exp2exp 2exp2exp 1 1 vyjuxj vyjuxj nm M m N n nm −− = = ++ −−− −−−∑∑ ππ ππ ) , F is the symbol of 2D Fourier transform. If the same parallel laser beam expressed by Eq. (4) illuminates a master hologram recorded on a photosensitive material, the signal reconstructed along the optical axis of the JTC second stage can be expressed as ( ) ( )vyjAvuU hπ2exp, 0 −= ( ) ( )[ ]vyjSAvyjRA hh ππ 2exp2exp 00 ∗∗ + = ( )SRA +2 0 . (6) This signal is produced by reconstruction of the sixth term ( ) ( )[ ]vyjSAvyjRA hh ππ 2exp2exp 00 ∗∗ + of the intensity distribution ( ) 2,vuT expressed by Eq. (5). Signal ( )vuU , is projected on an optically addressed SLM or a digital camera by using the telecentric imaging system containing two lenses. In this imaging system, the front focal plane of the first lens should coincide with the disposition plane of a sensitive material surface and the back focal plane of the second lens should coincide with the plane of a SLM or a sensor array disposition. The output correlation field can be obtained by Fourier transform of the recorded by a linear optically addressed SLM or a digital camera intensity distribution proportional to ( )2,vuU , which is expressed as ( )2,vuU ( )SRRSSSRRA ****4 0 +++= . (7) The desired output correlation field is produced after optical Fourier transform of intensity distribution ( )2, MvuU recorded on a SLM or after digital Fourier transform of intensity distribution ( )2, DvuU recorded by a digital camera. If the image sampling is not taken in account, the linear approximation of complex amplitude spatial distribution of both ( )2, MvuU and ( )2, DvuU Fourier transforms can be written as ( ) ( ) ( ) ( ) =′′+′′+′′=′′ −+ yxCyxCyxCyxC ,,,, 0 = ( )( )abMN ⎢ ⎣ ⎡ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ′′ Λ b y a x ,2 + ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ′−′′ Λ b yy a x 02, + ⎥ ⎦ ⎤ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ′+′−′− Λ b yy a x 02, + ),(~2 0 yxn ′′ + ),(~ yxn ′′ + ),(~ yxn ′−′− , (8) where ( )yxC ′′,0 is the signal located in the dc; ( )yxC ′′+ , , ( )yxC ′′− , are the correlation signals located in the +first and –first diffraction orders respectively; 2 ( )( )abMN ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ′′ Λ b y a x , is the autocorrelation peak amplitude distribution in the dc; ( )( )abMN ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ′′±′± Λ b yy a x 02, m is the correlation peak amplitude distribution in the ±first order; ),(~ 0 yxn ′′ , ),(~ yxn ′′ and ),(~ yxn ′−′− are the cross-talk noise 352 Semiconductor Physics, Quantum Electronics & Optoelectronics, 2011. V. 14, N 3. P. 350-356. η,υ MH or RHM FTL DFT DC2 ID ID M SLM BS DC1 TIS η′,υ′ CL L TC TC ϕ Fig. 2. Arrangement of a master hologram or a replicated RHM reconstruction: MH - master hologram; TIS - telecentric imaging system; M - mirror; SLM - optically addressed spatial light modulator; L - laser; CL - collimating lens; BS - beamsplitter; FTL- Fourier transform lens; DC1, DC2 - digital cameras; DFT - digital Fourier transform; TC - threshold comparison; ID - identification device; η,v, axes of planes (ξ,η) and (u,v); η′,v′, axes of planes (ξ′,η′) and (u′,v′). amplitude distributions in the dc, +first and –first orders respectively. The arrangement of reconstruction of a master hologram or a replicated RHM is shown in Fig. 2. 2.2. Nonlinear model. We have proposed one of possible approaches for evaluation of output response in a nonlinear JTC with photosensitive materials in the frequency domain, if the reference and input phase masks are entered into the JTC input plane.8,10 This approach is based on fulfillment of two basic conditions: i) definition of the diffraction efficiency η versus exposure experimental dependence (exposure characteristic) for a photosensitive medium or a SLM; ii) mathematical representation of the interference pattern, which should be written on a photosensitive medium or a SLM. If the exposure characteristic and the function describing or approximating the written interference pattern are known, one can find the optimum writing exposure E E opt, the reading round aperture’s Ar normalized radius ( )[ ] ( )[ ]22 AAA vvbuua −+−=ρ and the normalized distance ( ) ( )22 AAA bvauw += from the frequency plane (u,v) origin to the aperture center, where uA, vA are the coordinates of the aperture center. First condition for realization of the proposed approach can be satisfied experimentally. For this purpose, we can measure the exposure characteristic η=η(E) of a chalcogenide glass layer As40S50Se10 by using the conventional optical scheme for writing of reflecting holographic gratings. To satisfy second condition, it is necessary to provide the computer simulation of Eq. (5). But both the computer simulations of Eq. (5) and further procedures of its transformation demand the program design and the large amount of computations. Therefore, we have decided to determine Eopt, ρA and wA during experimental recording of RHMs and their reconstruction. 3. Experimental results The application of a chalcogenide glass as an inorganic photoresist with high resolution (~5⋅103 mm-1) is based on the effect of photostimulated change of chalcogenide glass film solubility in its selective solvent.11 Such films are produced by thermal vacuum film deposition. The mentioned above effect is exhibited in increase or decrease of the dissolution rate of irradiated sections in comparison with the dissolution rate of a non-irradiated layer depends upon the solvent type. In these cases, the positive or negative selective etching of a chalcogenide glass layer is occurred. Such photoresists are successfully used for making of holographic diffraction elements, synthesized holograms, konoforms, master mirror disks (CD, DVD) etc.12 In order to produce the master holograms, we have used chalcogenide glass layers As40S60-xSex, where х = 0; 10. To fabricate the plates containing such layers, firstly a chromium (Сr) layer with thickness equal to 30 nm was coated on a glass substrate, secondly a chalcogenide glass layer As40S60-xSex with thickness equal to ~500 nm was coated on a Cr layer. The coating was realized by step-by- step thermal spraying in vacuum with the residual pressure <10–3. The etching of an exposed chalcogenide glass layer was realized in an anhydrous organic selective etchant of negative type.13 The plate can contain only a chalcogenide glass layer. But if the Cr layer is evaporated previously on a glass substrate, the diffraction efficiency of such hologram can be increased greatly. Besides, the hologram wear resistance is increased significantly. © 2011, V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine 353 Semiconductor Physics, Quantum Electronics & Optoelectronics, 2011. V. 14, N 3. P. 350-356. 3.1. Measurement of diffraction efficiency of a chalcogenide glass layer For approximate estimation of optimum exposure Eopt, we have measured the exposure characteristic η=η(E) of a chalcogenide glass layer As40S50Se10. This characteristic was measured by using the conventional optical arrangement for writing of reflecting holographic gratings. A He-Cd laser (λw = 442 nm) was used for their writing with different exposures. The reference beam angle was equal to 30 deg concerning the optical axis of this arrangement. The diffraction efficiency of each written grating was measured by using the usual arrangement of a reflecting grating reading by a laser diode module MLRZ-650-005 (λr = 650 nm). The received dependence η=η(E) is depicted in Fig. 3. Calculations of the optimum exposure represented in our previous paper8 have shown that one is disposed on the dip of curve η=η(E) after reaching its peak value, if 0.1 ≤ ρ A ≤ 0.4 and wA ≤ 0.66. So, we chose the exposures in the range from 100 mJ/cm2 up to 200 mJ/cm2 and the normalized radius ρ A = 0.1 disposed on the normalized distance wA = 0.5 from the frequency plane (u,v) origin. 3.2. Writing of reflecting master holograms and replication of RHMs The binary reference and transformed masks were used for master hologram writing on a chalcogenide glass layers As40S60-xSex. Each the mask contains 256×256 adjacent square pixels with complex transmittances equal to +1 or –1 for wavelength λ = 442 nm. In these masks, the dimensions of pixels are equal to 20×20 μm and the pixel pitch is equal to 20 μm. The transformed phase masks consisting of two, three and nine fragments of a reference phase mask were used together with a reference phase mask to produce a JPS. The configuration of the two-fragment transformed mask made from the reference phase mask is shown in Fig. 4. 10 20 30 40 η ,% Е , mJ/cm2 70 140 210 280 310E0 Fig. 3. Dependence η = η(E) for a chalcogenide glass As40S50Se10. 1 23 4 2 4 4 1 3 off a) b) 1 4 3 4 c) Fig. 4. Procedure of the first stage of the two-fragment transformed phase mask fabrication: reference phase mask (a); separation of reference mask on two fragments: replication of quadrant 4 and replacement of quadrant 2 by quadrant 4 (b); transformed phase mask (c). The optical arrangement for the master hologram writing on a chalcogenide glass layers As40S60-xSex is represented in Fig. 1. This arrangement containing a Fourier lens with focal length f = 700 mm is based on a JTC first stage. The binary reference and transformed masks were entered and the distance between two masks was equal to 8.0 mm. The collimated parallel He-Cd laser (ΛΓ-70, λw = 442 nm) beam was used for illumination of phase masks and shaping of a reference parallel laser beam illuminated the chalcogenide glass layer at angle ϕ =30 deg concerning the optical axis of the arrangement. To adjust the intensities of a JPS and a reference beam and estimate the desired range of exposures, first we entered the calibrated photodiode ΦD-7K in the frequency plane (u,v) and disposed its center on the distance == fw b wvA λπη ,0 24.3 mm from the frequency plane origin. The distance η0 corresponds to normalized distance 0.5 along the axis v== bvw vA, r , which evaluates the position of a center of a round aperture Ar with normalized radius ρA = 0.1. Because the radius of this aperture is equal to == f b r wAA λρπ 4.86 mm, we have mounted the round aperture with diameter = 9.7 mm directly in front of the photodiode along the direction opposite to the direction of the reference beam propagation (see Fig. 1). The measured mean intensity Ar2 ( )vuIm , of the JPS part selected by the round aperture was equal to 0.8 mW/cm2. To ensure maximum © 2011, V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine 354 Semiconductor Physics, Quantum Electronics & Optoelectronics, 2011. V. 14, N 3. P. 350-356. modulation of a selected JPS area, we have chosen the same intensity of the reference beam measured by this photodiode at the same place. So, the exposure time range for writing of reflecting master holograms on a chalcogenide glass layer was calculated by using the justified above exposure range and measured mean intensities of the JPS and the reference light beam. This time was defined over the range from 62s up to 125s. Because the area for writing of a master hologram is restricted by a round aperture, we have recorded several master holograms on the same chalcogenide glass layer. To fabricate RHMs, we have used the photopolymer “Yantar’-3” developed in the Institute of Macromolecular chemistry of the NAS of Ukraine. All master holograms written on chalcogenide glass layers As40S50Se10 and As40S60 were replicated on this photopolymer. The photopolymer was deposited on a lavsan carrier. After replication of a master hologram on a photopolymer, the photopolymer surface was coated by a thin Al layer. 3.3. Reconstruction and analysis of RHMs and refelecting master holograms The experimental setup arrangement for reconstruction of RHMs and reflecting master holograms is shown in Fig. 5. The optical part of this setup contains a laser diode module MLRZ-650-005 to produce an expanded parallel laser beam (λr = 650 nm) illuminating a RHM or a master hologram at the same angle of 30 deg. The reconstructed response evaluated by Eq. (6) in linear approximation is projected by a telecentric imaging system containing two lenses with focal lengths f ( )vuU , 1 and f2 on a CCD camera “FINE” T-392C. The telecentric imaging system is placed along the optical axis normal to the plane of a reflecting hologram disposition. The horizontal camera resolution is equal to 81.6 lp/mm and the vertical camera resolution is equal to 58 lp/mm, the sensor array’s active (image) area is equal to 4.9 mm by 3.7 mm. To ensure the reliable reconstruction of a JPS recorded by the CCD camera and evaluated by Eq. (7), we selected the lenses in the telecentric imaging system, which focal lengths f1 and f2 are related as 2:1. In this case, the JPS carrier spatial frequency that is equal to 26 mm-1 is translated to 52 mm-1 and the carrier spatial frequency of a recorded JPS does not exceed the vertical camera resolution. Such demagnification of the telecentric system allows recording all area of an interference pattern projected on the sensor array from a chalcogenide glass layer in horizontal direction and only three fourth of this area in vertical direction. The JPS recorded by the CCD camera is captured by a frame grabber and entered into a PC. Due to the Digital Fourier transform of the digitized JPS, the output correlation response containing several correlation peaks in the ±first diffraction order is produced. The part of correlation response covering the first diffraction order area is used for creation of an identification feature vector and its comparison with a reference feature vector.6,7 CCD ϕ 2rA FG DFT I f1 f2 TIS MH or RHM PC Fig. 5. Experimental setup arrangement for reconstruction of RHMs and refelecting master holograms: MH, master hologram; RHM, reflecting holographic mark; TIS, telecentric imaging system; M, mirror; CCD, CCD camera; PC, personal computer; FG, frame grabber; DFT, digital Fourier transform; I, identification. The results of reconstruction of master holograms and RHMs are represented in Fig. 6 and Fig. 7 respectively. In this case, the two-fragment transformed phase mask represented in Fig. 4, was used together with the reference phase mask for writing the master hologram. These Figures show that two peaks in ±first diffraction order are very sharp and narrow. In Fig. 6, the peak at the center of the ±first diffraction order is produced as a result of autocorrelation of the transformed mask larger fragment with the corresponding fragment of the reference mask, and the second peak is the product of autocorrelation of the transformed mask smaller fragment with fourth quadrant of the reference mask. In Fig. 7, the correlation peaks are dissymmetrical to the correlation peaks reperesented in Fig. 6. Such behavior of the correlation peaks is clear, because all studied RHMs are mirror reflections of corresponding master holograms. The produced peaks can be identified easily by automatic means. Fig. 6. Correlation peaks in +first and –first diffraction orders as a result of reconstruction of the master hologram. Two- fragment transformed phase mask (see Fig. 4) was used to record the master hologram. © 2011, V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine Fig. 7. Correlation peaks in +first and –first diffraction orders as a result of reconstruction of the RHM. Two-fragment transformed phase mask (see Fig. 4) was used to record the master hologram. 355 Semiconductor Physics, Quantum Electronics & Optoelectronics, 2011. V. 14, N 3. P. 350-356. 5. Conclusions The proposed approach for fabrication and identification of RHMs on a flexible substrate has some advantages in comparison with the previous similar approach for fabrication and identification of ROMs on a solid substrate.8 The main advantage consists in removal of the phase and speckle noise caused by any microdeformation of a film layer and its optically rough surface. This noise does not allow reconstructing the correlation response from ROM’s replicas written on a flexible substrate. The fulfilled experiments with identification of RHMs have shown the high performance of photopolymer RHMs on a lavsan carrier. Such RHMs can be used successfully for identification and security verification of different products and things. Because the proposed approach can be combined with technologies for fabrication of rainbow holograms, the unique possibility of quantitative identification and security verification of rainbow holograms fabricated by using our approach became realizable. Indeed, such rainbow holograms can be treated simultaneously as RHMs. Therefore they can be verified not only visually, but also by means of automatic identification. The created setup for reconstruction of RHMs can be used as a prototype of an automatic system for identification and security verification of rainbow holograms.. References 1. R.L. van Renesse., Ed., Optical Document Security, Second ed., Artech House, Norwood / London (1998). 2. B. Javidi, “Securing information with optical technologies,” Phys. Today 50, 27-32, 1997. 3. “Special Section on Optical Security,” J.L. Horner, B. Javidi, Eds., Opt. Eng. 38, 8-119, 1999. 4. B. Javidi, J.L. Horner, “Optical pattern recognition for validation and security verification,” Opt. Eng. 33, 1752-1756, 1994. 5. E.G. Johnson, J.D.Brasher, D.A Gregory, P. Erbach, M. Duignan, G. Behrman, S.H. Lee, W. Daschner, P. Long, “Optical recognition of phase- encrypted biometrics,” Opt. Eng. 37, 18-26, 1998. 6. L.I. Muravsky, T.I. Voronyak, V.M. Fitio, M.V. Shovgenyuk, “Transformed phase mask and photoanisotropic material in optical correlators applied for security verification,” Opt. Eng. 38, 25- 32, 1999. 7. L.I. Muravsky, “Optical correlation systems for fingerprint and phase mask identification,” A.A. Akaev, S.B. Gurevich, K.M. Jumaliev, L.I. Muravsky, T.A. Smirnova, Holography and optical information processing: selected sections, 227-444, Uchkun, Bishkek, St. Petersburg, 2003 (in Russian). 8. L.I. Muravsky, S.O. Kostyukevych, T.I. Voronyak, P.E. Shepeliavyi, “Study of chalcogenide glass based reflecting optical marks,” SPIE-IS&T Electronic Imaging Proc. 5310, 377-386, 2004. 9. I. Yamaguchi, “Fundamentals and applications of speckle,” SPIE Proc. 4933, 1-8, 2003. 10. L.I. Muravsky, “Identification of random phase masks in a nonlinear joint transform correlator,” SPIE Proc. 4148, 185-193, 2000. 11. B.T. Kolomietc, V.M. Lyubin, V.P. Shilo, “Photostimulated changes of chalcogenide glass solubility,” Phys. And Chem. of Glass, 4, 351-357, 1978 (in Russian). 12. I.Z. Indutnyi , A.V. Stronski, S.A. Kostyukevych, P.F. Romanenko , P.E. Shepeliavyi, I.I. Robur, “Holographic optical elements fabrication using chalcogenide layers,” Opt. Eng. 34, 1030-1039, 1995. 13. Patent of the Russian Federation #2008285. I.Z. Indutnyi, S.A. Kostyukevych, P.E. Shepeliavyi, “Solution for negative etching of chalcogenide glasses,” Otkrytiya, izobretieniya, #4, 1994 (in Russian). © 2011, V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine 356