k1-nature of light

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    OPTIKA

    Dr. Ahmad Marzuki

    [email protected]

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    Referensi: Introduction to Optics, F. & L. Pedrotti.

    Topik yang dikover: Geometrical optics: < dimension of aperture/object

    Wave (i.e. physical) optics:> dimension of aperture/object

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    Mengenal Cahaya

    Optics

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    Mengenal Cahaya

    Particle

    Isaac Newton (1642-1727)

    Optics

    Wave

    Huygens (1629-1695)

    Treatise on Light (1678)

    Wave-Particle Duality

    De Broglie (1924)

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    Young, Fraunhofer and Fresnel

    (1800s)

    Light as waves!

    Interference Thomas Youngs (1773-1829) double slit experiment

    see http://members.tripod.com/~vsg/interf.htm

    Diffraction Fraunhofer (far-field diffraction)

    Augustin Fresnel (1788-1827) (near-field diffraction &polarization)

    Electromagnetic waves Maxwell (1831-1879)

    http://members.tripod.com/~vsg/interf.htmhttp://members.tripod.com/~vsg/interf.htm
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    Max Plancks Blackbody Radiation

    (1900)

    Light as particles

    Blackbodyabsorbs all wavelengths and

    conversely emits all wavelengths

    The observed spectral distribution of

    radiation from a perfect blackbody did not

    fit classical theory (Rayleigh-Jeans law)

    ultraviolet catastrophe

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    0 20

    2x10

    7

    4x107

    6x107

    8x107

    1x108

    T = 5000 K

    T = 6000 K

    T = 3000 KSpectralRadian

    ceExitance

    (W/m2 -

    mm)

    Wavelength (m)

    M = T

    Cosmic black body background

    radiation, T = 3K.

    Rayleigh-Jeans law

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    Plancks hypothesis (1900)

    To explain this spectra, Planck assumedlight emitted/absorbed in discrete units ofenergy (quanta),

    E = n hf

    Thus the light emitted by the blackbody is,

    1

    12)(5

    2

    kThc

    e

    hcM

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    Photoelectric Effect (1905)

    Light as particles

    Einsteins (1879-1955) explanation light as particles = photons

    Kinetic energy = h-

    Electrons

    Light of frequency

    Material with work function

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    Luis de Broglies hypothesis (1924)

    Wave and particle picture

    Postulated that all particles have associated

    with them a wavelength,

    p

    h

    For any particle with rest mass mo, treatedrelativistically,

    42222 cmcpE o

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    Photons and de Broglie

    For photons mo= 0

    E = pc

    Since also E = hf

    f

    c

    chf

    h

    cE

    h

    p

    h

    But the relation c = is just what we expect for

    a harmonic wave

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    Wave-particle duality

    All phenomena can be explained using

    either the wave or particle picture

    Usually, one or the other is most

    convenient

    In OPTICS we will use the wave picturepredominantly

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    Propagation of light: Huygens

    Principle (Hecht 4.4.2)

    E.g. a point source (stone dropped inwater)

    Light is emitted in all directionsseries of

    crestsand troughs

    Rayslines

    perpendicular to

    wave fronts

    Wave front- Surface of

    constant phase

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    Terminology

    Spherical waveswave fronts are

    spherical

    Plane waveswave fronts are planes

    Rayslines perpendicular to wave fronts

    in the direction of propagation

    x

    Planes parallel to y-z plane

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    Huygens principle

    Every point on a wave front is a source of

    secondary wavelets.

    i.e. particles in a medium excited by

    electric field (E) re-radiatein all directions

    i.e. in vacuum, E, B fields associated with

    wave act as sourcesof additional fields

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    Huygens wave front construction

    Given wave-front at t

    Allow wavelets to evolve

    for timet

    r = ct

    New wavefront

    What aboutrdirection?

    See Bruno Rossi Optics. Reading, Mass:Addison-Wesley Publishing Company, 1957, Ch. 1,2

    for mathematical explanation

    Construct the

    wave front tangentto the wavelets

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    Plane wave propagation

    New wave front is stilla plane as long asdimensions of wavefront are >>

    If not, edge effectsbecome important

    Note: no such thing

    as a perfect planewave, or collimatedbeam