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    POLARIZATION FILTERING IN HOLOGRAPHY

    C. L. Rudder

    Citation: Applied Physics Letters 10, 270 (1967); doi: 10.1063/1.1754806

    View online: http://dx.doi.org/10.1063/1.1754806

    View Table of Contents: http://scitation.aip.org/content/aip/journal/apl/10/10?ver=pdfcov

    Published by the AIP Publishing

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    Volume

    10,

    Number

    10 APPLIED

    PHYSICS LETTERS

    15 May 1967

    Table I.

    Spectrometer Performance at 77K

    y-ray

    Detector

    Ser.

    Area

    Depth

    Resolution(

    Energy

    Bias

    Designation

    No.

    (em

    2

    ) mm) Trapping (4E)\t (keV) (keV) (V) Rating

    UA

    G3Pl 4.2 6

    electron

    1.4

    662

    1200 good

    (little)

    2.6 600

    B

    7012 8.5 7

    electron 3.35

    1333 1250 fair

    (moderate) 4.95

    700

    e

    GLN4L

    5.8 8

    electron 5.5 1333 1250

    very

    (considerable) 7.0 800

    poor

    (')From measurements of a very good detector, the values

    of

    (4E)0 were, respectively, 1.2

    and

    1.7 keY

    for

    662

    and

    1333 keY y-ray

    energies

    for

    all electric fields ;;.100 V

    mm

    (b 4E)0 see text).

    ating voltage (2700 V) in order to eliminate the

    slow rising

    components,

    the lowest temperature

    for

    high-resolution performance was

    lOoK.

    Figure

    2 also shows

    that

    there is a slight

    decrease

    in pulse

    height

    as temperature is reduced,

    corre

    sponding to

    an

    apparent increase in e, the ionization

    energy per

    electron-hole pair.

    For detector

    A,

    the

    increase was 1.9%

    in going

    from

    170

    to lOoK.6 This

    change in e with temperature is much less than that

    reported by

    Emery and

    Rabson.

    7

    Capacitance-voltage characteristics were meas

    ured over the entire temperature range and in

    dicated no significant

    change in

    detector-sensitive

    volume

    with

    temperature.

    In

    summary,

    we

    conclude

    that

    one can expect

    less

    low

    energy

    tailing and therefore better ')I-ray resolu

    tion from

    many

    Ge(Li)

    detectors

    by operating them

    at

    temperatures lower

    than

    -77K (that of liquid

    nitrogen, and

    now

    commonly

    used); the optimum

    temperature

    of

    three

    detectors of

    varying quality

    showing

    mainly

    electron

    trapping was in the range

    20 to 30

    o

    K. Electron

    trapping effects are

    reduced at

    lower temperatures and

    can be

    further reduced by

    applying

    higher voltages

    than

    are possible at -77K.

    The cause

    of a slow-rising component of

    the

    pulse

    which appears below

    200K

    is still under study.

    No

    advantage is gained by operation above 77K (e.g.,

    dry

    ice

    at 195K)

    because the reverse

    current

    in

    creases with temperature

    resulting

    in deterioration

    of the observed ')I-ray resolution.

    Measurements

    are

    continuous

    on

    other

    detectors showing

    predomi

    nantly hole trapping and on very

    good

    detectors

    exhibiting very little trapping of either electrons

    or

    holes at 77K.

    We express our thanks

    to 1. L. Fowler

    for

    his

    help

    and encouragement with these

    experiments.

    I A.

    J.

    Tavendale,

    IEEE

    Trans. NS-ll,

    3,

    191 (1964).

    2 M. M. El-shishini

    and

    W

    .

    Zobel,

    IEEEE

    Trans. NS-13,

    3,

    359

    (1966).

    3

    A.

    J.

    Tavendale

    and I.

    L. Fowler, unpublished Chalk River

    data (1964).

    4 F.

    S.

    Goulding, Nucl. Instr. and Methods 43, 1 (1966).

    5J.

    A.

    Coleman, Lithium-Drifted Germanium Detectors, IAEA,

    Vienna (1966), p. 37.

    6E. Sakai, unpublished.

    1 F.

    E

    Emery

    and T.

    A. Rabson,

    Phys.

    Rev. 140, A2089 (1965).

    POLARIZATION FILTERING

    IN

    HOLOGRAPHY

    C. L. Rudder

    Reconnaissance Laboratory

    McDonnell Aircraft Corp.

    St. Louis, Missouri

    (Received 20 March 1967)

    The

    effect of specular reflections

    on

    the construction of a hologram is examined by polarization filtering. Filtering

    is accomplished by orienting the plane of polarization of the reference wave perpendicular to that of the incident

    object beam.

    t is found that the

    resolution

    and

    tonal

    range

    of

    the

    reconstructed image

    are

    enhanced.

    Light scattered

    from a rough

    surface

    is

    described component. Specular

    reflections are directional

    as

    the sum

    of

    a

    specular

    component

    and

    a diffuse .

    and

    retain, at

    least in

    part, the

    polarization

    of

    the

    270

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    3/4

    Volume

    10,

    Number 10

    APPLIED PHYSICS LETTERS

    15 May 1967

    incident light.

    When

    the incident wave is linearly

    polarized with the electric vector either parallel

    or perpendicular

    to

    the scattering surface, the

    specular

    reRection will preserve the

    incident

    polari

    zation. However, the diffuse contribution has little

    directivity and gives rise to depolarization.

    In

    constructing holograms,

    these

    considerations are

    important

    since

    merely producing

    a reconstructed

    image of the object as

    seen

    visually

    can

    destroy

    desira9le

    information.

    This Letter reports the

    effect of selective

    polari

    zation filtering

    during

    construction of a hologram.

    In particular, it has

    been

    found

    that

    the resolu

    tion

    and

    tonal

    range

    of

    the reconstructed image are

    enhanced

    by eliminating

    the recording

    of specular

    reflections.

    Filtering was accomplished by rotating

    the

    polarization )f

    the reference beam

    with

    re

    spect

    to

    the

    polarization

    of

    the incident

    object

    beam. The

    experimental setup

    for this study is

    depicted in Fig. I. The polarization of

    the

    incident

    object beam

    was

    selected for

    maximum

    transmit

    tancethrough the

    light

    polarizing

    film

    Rausch

    and

    Lomb

    type H:\,-:18). The

    angle

    of polarization of the

    reference wave was established by a second polarizer

    as indicated. The

    neutral

    density filter was

    selected

    to

    maintain

    a constant intensity ratio

    between

    the

    two beams.

    This

    was necessary since

    the

    initial

    elliptical polarization caused variations in light

    intensity

    when

    the polarizer in the reference beam

    was

    rotated

    to

    different

    positions.

    The object was composed

    of

    five scattering areas

    designed

    to

    determine image

    quality.

    An eleven

    step Kodak gray scale

    on

    single-weight

    semi-matte

    paper was chosen for tonal range; a National Bureau

    of

    Standards

    resolution

    chart

    on single-weight

    matte

    paper

    and the letter on single-weight

    semi

    matte paper were used for

    resolution;

    and

    a

    strip

    Elliptically

    polarized

    Laser

    light

    dens ity

    i

    Iter

    Fig.

    1.

    Diagram of

    the

    laboratory

    setup for

    polarization

    filtering.

    of

    aluminized mylar

    was

    used

    to provide

    an

    area

    of particularly high reflectivity. The latter was

    placed to give

    specular reflections from irregular

    bumps rather than

    a smooth

    mirror-like

    reflection.

    Finally, a piece of black

    photographic

    tape at the

    right of the

    furnished

    a

    very rough,

    low-reflection

    area.

    Thus, the

    object

    encompassed the pertinent

    parameters

    for image evaluation.

    Holograms discussed

    herein

    were made

    with

    the

    object

    illuminated with

    laser light

    at 6328

    A po

    larized with the electric vector parallel to the object

    plane. Reconstruction of the virtual image for

    the

    case

    of

    a

    hologram made

    with

    the

    polarization

    of

    the reference beam

    and incident

    object beam parallel

    is

    shown

    in Fig. 2. A severe

    degradation

    of

    image

    quality is evident except on the

    edge

    of the specular

    area. Here the image appears

    to

    be clouded but

    prominent.

    I n fact,

    the

    image

    is

    similar

    to

    viewing

    the object by eye

    under

    the

    same

    conditions.

    Figure 3 shows the virtual

    image

    from a holo-

    Fig. 2.

    Image from the

    hologram

    constructed

    with

    specular

    and diffuse

    scattering recorded.

    Fig. 3.

    Image from

    the hologram

    constructed with the

    specular component

    filtered out.

    271

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    4/4

    Volume

    10,

    Number 10

    APPLIED PHYSICS LETTERS

    15

    May

    1967

    gram constructed with

    the

    reference beam and in

    cident object beam linearly

    polarized

    orthogonally

    to

    each

    other.

    The specular

    return has been filtered

    out, thereby significantly improving the image

    quality.

    The

    holograms

    were

    made on Kodak

    649F

    plates. Prior to exposure, the light intensity from

    each beam was

    measured independently and com

    bined

    at the plate holder to maintain a

    constant

    intensity ratio for successive plates. Also, this

    procedure

    permitted

    the

    exposure time for

    con

    secutive holograms to

    remain

    fixed. Exposure

    and

    development processes were the

    same

    for the

    photo-

    graphs displayed in Figs. 1

    and

    2

    Therefore, dif

    ferences

    seen in the

    hologram images can be

    attributed only

    to

    polarization filtering. The results

    clearly

    demonstrate that the method

    can be

    useful

    in preventing loss of information recorded by ho

    lography.

    The author

    acknowledges

    the

    valuable assistance

    of W. A.

    J

    Dalton and R L Carpenter.

    I

    Petr Beckmann

    and Andre

    Spizzichino, The Scattering of

    Electromagnetic Waves from Rough Surfaces (The

    Macmillan Com

    pany, New York, 1963), 1st ed., pp. 152,241.

    NONLINEAR COUPLING

    BETWEEN ANTIFERROMAGNETIC

    RESONANCE MODES IN RhMnFa*

    P H

    Cole

    Department

    of Electrical

    Engineering and

    Center for

    Materials Science

    and

    Engineering

    Massachusetts Institute of Technology

    Cambridge, Massachusetts

    Nonlinear coupling between antiferromagnetic resonance modes spaced in frequency an octave apart has been

    shown to occur under suitable conditions in RbMnF

    a

    . Calculations of the power-dependent conversion relation

    for up conversion,

    and

    the critical power for

    subharmonic

    oscillation,

    are

    given. Preliminary

    measurements

    of the

    strength

    of

    the second-harmonic power

    produced are

    in

    general

    agreement with the theory, but the shape

    of

    the

    output

    pulses suggests some spin-wave excitation

    is

    taking place.

    The magnetic resonance spectrum of the cubic

    antiferromagnet

    RbMnF

    has been

    shown

    in

    the

    low-

    and

    high-field regionsl,2 to

    have

    modes which

    may

    bear an octave relation

    to

    one another. The

    mode spectrum when

    the

    applied field

    Ho

    is along

    a (001) axis, calculated for

    an

    exchange field

    e

    0.89 MOe, an

    anisotropy

    field Ha = 4.56 Oe and a

    nuclear hyperfine field

    Hn

    = 1.0 Oe, is shown in

    Fig. 1

    Second-order spin-wave instability effects, as

    sociated with

    the

    excitation

    of

    spin waves of the

    same frequency as

    the

    power source

    have been

    shown

    to occur in this and similar materials.

    3

    4

    These

    instabilities can be considered as analogous to the

    second-order instabilities

    in

    ferromagnets explained

    by SuhJ.5 Calculations by

    Freiser

    et

    aU

    have

    sug

    gested

    that

    first-order nonlinear w - w energy

    conversion

    processes should also occur. The latter

    processes might

    be

    considered as

    analogous

    to

    the

    *This work was

    supported

    in part by

    the

    Air Force Cambridge

    Research Laboratories

    under Contract

    AF 19(628)-5876

    and

    by

    the

    Advanced Research Projects Agency

    under

    Contra ct SD-90.

    272

    25

    Ho=4 56 Oe

    N

    Hn= 1.0 Oe

    J

    He=0 89

    MOe

    )

    20

    u

    z

    w

    >

    15

    w

    0::

    LL

    10

    z

    0

    CJ

    W

    0::

    5

    o

    8

    Ho

    KOe

    Fig.

    1.

    Resonance

    spectmm

    of

    a

    sample

    of

    RbMnF

    a

    at

    10 K.

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