kuli ah ke 13 opt e holography

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    Optik Terapan: HolographyKuliah ke 13

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    Holografi:

    Teori dikembangkan oleh seorang Ahli bernamaDennis Gabor pada tahun 1947 dan

    mememangkan hadial Nobel pada Tahun 1971

    Asal Kata : Holography di ambil dari bahasaYunani, kata hlos, "whole/seluruh" + graf,

    "writing, drawing/menulis

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    3

    History of Holography

    Invented in 1948 by Dennis Gabor for use inelectron microscopy, before the invention of thelaser

    Leith and Upatnieks (1962) applied laser light toholography and introduced an important off-

    axis technique

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    Whats holography?

    Holografi adalah sebuah proses atau teknikmembuat gambar / image 3 Dimensi daribenda.

    Sebuah Hologram dihasilkan karena interaksi duacahaya laser.

    Satu cahaya laser datang melalui benda ke film

    /recorder Cahaya yang lain adalah cahaya referensi yangdatang langsung dari sumbernya ke film.

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    For a better understanding of the process, it isnecessary to understand interferenceanddiffraction

    Interferensi terjadi jika satu atau lebih mukagelombang berimpit atau bertemu.

    Difraksi terjadi bila sebuah muka gelombangmembentur sebuah benda.

    Physics of Holography

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    Principle of Holography

    Selama proses perekamam, object wave (gelombang yangmenyinari benda) dan reference wave (datang langsung daribenda) berinterferensi dalam bidang medium perekaman danmenghasilkan frinji interferensi. This photographic plate yangmenyimpang pola ini disebut Hologram.

    Frinji Interferensi ini mengandung semua informasi tentangintensitas dan fase dari cahaya yang di hamburkan oleh benda.

    Dalam Proses Rekonstruksi, hologramnya bertindak sepertisebuah kisi difraksi. Ini disinari oleh sebuah gelombang yangdisebut gelombang rekonstruksi. (n most cases this is similar tothe reference wave used for recording the hologram) and theimage of the object is reconstructed from the hologram.

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    Merekam dan Melihat Hologram

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    Konstruksi Suatu Hologram Membutuhkan Sebuah Laser (sumber cahaya yang koheren dan

    monokromatik), lpembagi sinar, lensa cermin, film Fotografi, dan sebuahobjek atau benda.

    Pembagi Sinar memisahkan cahaya laser menjadi dua berkas cahaya; Berkasreferensi dan berkas untuk benda.

    Reference beam aimed at a piece of holographic film by mirrors. Object beam directed at object to be recorded to illuminate object and then

    meets reference beam at film.

    Menghasilkan pola interferensi dari berkas benda dan referensi yang

    kemudian di rekam.

    Film is developed./dicuci, hasilnya disebut hologram.

    Hologram ni mengandung semua informasi tentang intensitas dan fase darigelombang-gelombang yang dihamburkan oleh objek/benda.

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    Construction of HologramConstruction of Holograms

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    Rekonstruksi sebuah Bayangan/gambar darisebuah hologram

    To view the image, the hologram is again illuminated with anotherlaser beam called the reconstruction beam which is at same angle asreference beam.

    Hologram acts as a diffraction grating.

    This form a real image in front of the hologram and a virtual imagebehind the hologram.

    The virtual image has all the characteristic of the object. The realimage can be photographed directly without using a lens.

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    Reconstruction of an image from Hologram

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    Hologram of a point source

    Construction of the hologram of a point source

    Any object can be represented as a collection of

    points

    Reference wave -

    plane

    Photosensitive plate

    1. Records

    interference

    pattern (linear

    response)

    2. Emulsion has

    small grain

    structure ( )

    Object wave - spherical

    Photographic

    plate

    x

    z

    y

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    13

    Point object hologram construction:

    Intensity distribution on plate

    Reference wave

    Object wave

    Intensity distribution on plate

    ROORRROOROyxI

    zyxrwhere

    oeezyxozyxO

    reezyxrzyxR

    ikrzyxi

    ikzzyxi

    ****2

    222

    ),,(

    ),,(

    ),(

    ),,(),,(

    ),,(),,(

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    14

    Hologram construction

    )cos(2),(

    0

    )cos(2),,(

    22

    22

    krororyxI

    planef ilmz

    ororzyxI

    Maxima for kr=2m or r=m

    i.e. if the OPL difference OZ OP is an integral number of

    wavelengths, the referencebeam arrives at Pin step with the

    scattered (i.e. object)beam.

    Gabor zone

    plate

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    Hologram reconstruction

    When illuminated by a coherent wave, A(x,y), known asthe reconstructionwave, the optical field emerging fromthe transparency is,

    i.e. a superposition of 4 waves

    If A(x,y)=R(x,y), i.e. reconstruction and reference wavesare identical,

    ORBOBRRBOOttyxR

    ABORRABOABOOAttyxA

    bp

    bp

    2*2*

    ***

    )(),(

    ),(

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    Hologram reconstruction

    Three terms in the reconstructed wave

    ORBOBRRBOOttyxR bp2*2*

    )(),(

    Direct wave

    identical to

    reference waveexcept for an

    overall change in

    amplitude

    Object wave

    identical to object

    wave except for a

    change in intensity

    Conjugate wavecomplex

    conjugate of

    object wave

    displaced by a

    phase angle 2

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    Hologram reconstruction Three terms in the reconstructed wave of thepoint hologram

    ikrikrkziikz

    bp erBeBeeoBttyxR

    222

    )(),(

    Direct wave

    identical to

    reference

    wave

    (propagates

    along z)

    except for an

    overall change

    Object wave

    Spherical waveexcept for a

    change in

    intensity B|r|2i.e. reconstructed

    wavefront

    Conjugate wave

    spherical wavecollapsing to a

    point at a

    distance z to the

    right of the

    hologram

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    19

    Direct, object and conjugate waves

    Virtual

    image

    Real image

    -z z

    Direct wave

    Object

    wave

    Conjuga

    te wave

    z=

    Reference

    wave

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    Hologram :Direct, object and conjugate waves

    Direct wave: corresponds to zeroth order gratingdiffraction pattern

    Object wave: gives virtual image of the object(reconstructs object wavefront) first orderdiffraction

    Conjugate wave: conjugate point, real image (notuseful since image is inside-out due to negative

    phase angle) first order diffraction In general, we wish to view only the object wave

    the other waves just confuse the issue

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    21Off-axis- Direct, object and conjugate waves

    Virtual

    image Real image

    Direct wav

    Object

    wave

    Conjuga

    te wave

    Reference

    wave

    Use an off-axis system to record the hologram, ensuring separation of the three waves on reconstruction

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    Transmission hologram: reference and object wavestraverse the film from the sameside

    Reflectionhologram: reference and object waves

    traverse the emulsion from oppositesides

    HologramReflection vs. Transmission

    View inTransmission View inreflection

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    Hologram: Wavelength With a different color, the virtual image will

    appear at a different angle (i.e. as a grating,

    the hologram disperses light of differentwavelengths at different angles) Volume hologram: emulsion thickness >> fringe

    spacing Can be used to reporduce images in their original color

    when illuminated by white light. Use multiple exposures of scene in three primary

    colors (R,G,B)

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    Holography vs. Photography

    Photography is 2D record of a 3D object whereas holography gives athree dimensional form of original object. If any object is hidden justbehind another object then the observer can see the hidden object inviewing the hologram.

    Hologram is the positive pattern whereas in conventional photographynegative pattern is produced.

    In ordinary photography each region contains separate and individualpart of the original object. Destruction of a portion of a negative leads to

    an irreparable loss of information corresponding to the destroyed part.On the other hand, each part of a hologram contains information aboutthe entire object. Destruction of a part of hologram does not cause a lossof information about the object, each separate fragment is capable ofproducing image with a reduced clarity.

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    Holography vs. Photography (contd)

    The information holding capacity of a hologram isextremely high by recording several images of theobject whereas in ordinary photography a photofilmcannot be used to record several images.

    Without the knowledge of the reference wavefrontthe hologram cannot be deciphered/read.

    Holography vs. Photography

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    Although there are no actual dots in a hologram, it could be

    said that each of a hologram's "dots" contains the whole image.

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    Views from different angles of the image reconstructed

    by a hologram, showing changes in perspective.

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    Applications of Holography

    Mendesain Kontainer untukmenyimpan material nuklir

    Kartu Kredit yang membawa

    nilai mata uang Supermarket scanners

    Optical Computers

    Improve design of aircraftwings and turbine blades

    Used in aircraft heads-updisplay

    Art/Seni

    Archival Recording of fragilemuseum artifacts/ Perekamanbarang museum yangsensitif/peka

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    Applications of Holography

    Microscopy M = r/s Increase magnification by viewing hologram with

    longer wavelength

    Produce hologram with x-ray laser, when viewed withvisible light M ~ 106 3-d images of microscopic objects DNA, viruses

    Interferometry Small changes in OPL can be measured by viewing the

    direct image of the object and the holographic image(interference pattern produce finges l)

    E.g. stress points, wings of fruit fly in motion,compression waves around a speeding bullet,convection currents around a hot filament

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    Star Wars : Obi-Wan - Hologram