Ahmed Et Al (1994) - Effect of Multiple Light Scattering and Self-Absorption on the Fluorescence and Excitation Spectra of Dyes in Random Media

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  • 7/24/2019 Ahmed Et Al (1994) - Effect of Multiple Light Scattering and Self-Absorption on the Fluorescence and Excitation Sp

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    Effect

    of multiple

    light

    scattering

    and

    self absorption

    on

    the fluorescence

    and excitation

    spectra of dyes in random media

    S. A. Ahmed,

    Zhi-Wei

    Zang, K.

    M. Yoo, M.

    A. Ali, and

    R. R. Alfano

    The

    absorption, fluorescence, and

    excitation spectra

    of a dye

    in a highly scattering

    random

    medium were

    studied

    experimentally.

    The intrinsic

    absorption spectrum of

    the dye does not

    change in the

    presence of

    scatterers,

    but the presence of scatterers

    in the media

    will change

    the observed

    fluorescence spectra.

    The

    observation

    is accounted

    for by the

    change in the photon trajectory

    path length

    for the fluorescence

    emission.

    The fluorescence of objects

    embedded in absorptive

    random scattering

    media has been studied

    recently

    and shown to

    enhance the detection and imaging

    of

    such objects.

    The use of fluorescence-imaging

    tech-

    niques of this type

    has potential

    application in

    medi-

    cal diagnostic

    techniques.'

    In these imaging tech-

    niques

    the object to be detected,

    which has or is

    made

    to have

    fluorescent

    properties (e.g.,

    by dye injection),

    is illuminated and made to fluoresce. This lumines-

    cence is

    then selected for

    detection and

    imaging, while

    the illuminating

    light is

    filtered out. The image

    quality is

    improved further

    when the surrounding

    scattering

    medium

    is made partially

    absorbing

    at the

    luminescence

    spectrum. Since the

    luminescent ob-

    ject to be

    detected in a typical medical

    application,

    1

    -

    5

    such

    as a breast

    tumor, is itself constituted

    from a

    highly

    scattering

    medium, the effects of scatter

    on the

    emitted

    luminescence

    spectra itself are

    of interest to

    the further development of these

    techniques.

    These

    medical

    applications

    are particularly

    important since

    the distribution

    of

    the luminescent

    spectrum itself

    may relate to medical conditions to be diagnosed.

    In this

    paper we present

    the results of experiments

    that examine the impact

    of internal multiple

    scatter-

    The authors

    are with the

    Department of

    Electrical Engineering,

    Photonic

    Application Laboratory,

    Institute for Ultrafast Spectros-

    copy and

    Lasers, The City College

    and the Graduate

    Center of the

    City University

    of New

    York, New York,

    New York 10031.

    Received 30

    January 1992; revised

    manuscript received

    4 Octo-

    ber 1993.

    0003-6935/94/132746-05$06.00/0.

    o 1994 Optical Society of America.

    ing within

    a luminescent

    body on the luminescence

    spectrum

    observed

    at the

    surface.

    The

    intrinsic

    emission

    spectrum

    of

    a luminescent

    medium,

    such

    as an organic dye luminifor,

    is typically

    Stokes

    shifted

    with respect

    to its

    absorption

    spectrum.

    The

    presence

    of

    internal multiple

    scatterers

    within

    a

    luminescent

    body can

    affect the

    luminescence

    ob-

    served

    at the

    surface

    of the

    bodyin three

    ways:

    (1) Self-absorption.

    The

    luminescence

    emitted

    from

    inside a

    random medium

    reaches

    the surface by

    a random-walk

    diffusion

    process.

    The

    mean

    random

    path

    length

    of the

    luminescence before

    it reaches

    the

    surface

    depends on

    the depth

    of

    the luminophor

    inside the body

    and the

    photon-transport

    mean

    free

    path

    in the random

    medium.

    The

    deeper the lumino-

    phor and

    the higher

    the density of scatterers, the

    longer

    is the

    photon

    path length. Because

    the

    emis-

    sion spectrum

    of

    a luminophor

    overlaps

    its absorp-

    tion spectrum,

    emitted

    fluorescent

    light

    experiences

    greater absorption

    at shorter

    wavelengths

    as it propa-

    gates

    through

    a luminescent

    medium

    in solution to

    the surface.

    This preferential absorption

    at the

    shorter

    wavelengths

    would

    mean

    that the emission

    that

    finally

    emerges

    at the surface

    of a body

    would

    show

    a spectrum

    relatively

    diminished

    at the shorter

    wavelength

    end

    compared

    with the intrinsic

    fluores-

    cence

    of the luminophor;

    i.e., the fluorescence

    spec-

    trum observed at the surface

    would effectively

    appear

    to be

    red shifted toward

    the longer

    wavelengths.

    Clearly

    the greater

    the depth within

    the

    body

    from

    which

    he radiation

    originates,and/or

    the greater

    the

    scatterer

    density, the greater

    would be

    this red shift.

    (2) Wavelength dependence of scattering. Elastic

    2746 APPLIED OPTICS / Vol.

    33, No. 13 /

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    (Rayleigh) scattering by random

    particulate scatter-

    ers will scatter the shorter wavelengths preferen-

    tially,

    which means that luminescence emitted from

    inside the body at shorter wavelengths undergoes

    more scattering

    to reach the surface than that at

    longer wavelengths. Thus the shorter wavelength

    light effectively

    undergoes a longer random-walk

    path

    and experiences

    more absorption,

    and hence

    the

    remaining

    luminescence spectrum is effectively red

    shifted when emerging from the surface. This wave-

    length dependence can be observed in random

    media

    with a small scatterer

    with a diameter of less than the

    wavelength of light. This wavelength dependence

    may be different in tissues. There the scatterers are

    generally much

    larger than the optical

    wavelength;

    however, generally it can still be expected that the

    larger wavelengths

    will be less scattered and hence

    penetrate deeper.

    (3) Energy-level distortions. At sufficiently high

    concentrations, scatterer densities might conceivably

    be sufficiently high that

    interatomic forces cause

    distortion effects on the energy levels of the lumino-

    phors, with impacts on their

    intrinsic fluorescence

    emission

    spectra resulting.

    The coherent

    interfer-

    ence between the radiated field of a dye molecule and

    the field radiated from an effective Hertzian

    dipole

    induced on the closest scatterers may also conceivably

    affect the emissions

    spectrum.

    6

    This

    effect has been

    observed when more than one scatterer within a unit

    wavelength exists. Such effects, if they exist, would

    depend on the density of scatterers, as effects (1) and

    (2) do. However, unlike the latter they might just as

    well cause a blue shift as a red shift. Furthermore

    their effects would not depend on the depth of the

    emitting body within the random medium, as (1) and

    (2) do.

    To investigate the impact of multiple light scatter-

    ing in a luminescent random media on the emitted

    spectra, we carried out experiments on organic dye

    luminophors

    dissolved in liquid solvents with TiO

    2

    particles added to provide random scattering. Rho-

    damine 6G (Rh6G) dye in 2-methyl-2,4-pentanediol

    (MPD) solution was selected

    as the luminophor, and

    TiO

    2

    particles 0.18 plm n diameter were added to

    provide scattering. This combination is similar to

    that used previously to study backscatter image

    enhancement in scattering media.'

    We carried out fluorescence, absorption, and excita-

    tion spectra measurements by using transparent

    plastic cells of varying sizes containing mixtures of

    the dye solution and TiO

    2

    beads. We investigated

    fluorescence for two different cell arrangements with

    a front surface and side excitation as shown in Figs.

    1(a) and 1(b), respectively, by using a Perkin-Elmer

    luminescence spectrophotometer LS50. The lamp

    in the spectrophotometer was used as a light source

    for excitation; the typical excitation wavelength was

    514 nm.

    We first obtained the intrinsic fluorescence of Rh6G,

    excitation

    detection

    1cmI

    1icm]

    1

    cm

    (a)

    excitation

    detection

    1

    cm

    (b)

    Fig. 1. Excitation and detection

    arrangement of dye fluorescence

    in a transparent plastic cell.

    in a 2 x 10-4 M concentration in MPD in a thin 0.016

    cm x 1 cm cell by measuring front-surface excitation.

    This measurement is

    shown by the solid curve in Fig.

    2(a), and it provides a standard for comparison. We

    then examined the same concentration of dye solu-

    tion in 1 cm x 1 cm cells using both front surface and

    side excitation with and without the addition of the

    known concentration of scatterers. In Fig. 2(a) we

    show the results with the intrinsic fluorescence super-

    imposed for comparison. The dashed curve in Fig.

    ^5~~~~

    \

    550 600 650 700

    Wavelength )

    (a)

    550

    600 650

    700

    Wavelength m)

    (b)

    Fig. 2. (a) Fluorescence spectra of 2 x 10-

    4

    -M Rh6G in a MPD

    solution. Solid curve, front-surface detection from a 0.016-cm-

    thick cell; dashed curve, front-surface detection from a 1-cm-thick

    cell; dashed-dotted curve, side-surface detection from a 1-cm-thick

    cell. (b) Fluorescence spectra of front-surface detection from a

    1-cm-thick cell of 2 x 10-

    7

    -M Rh6G in MPD. Solid curve, dye

    solution; dashed curve, dye solution plus TiO

    2

    scatterers.

    1 May 1994 / Vol. 33, No. 13 / APPLIED OPTICS 2747

    A I

    I/l

    \

    II\

    . '.

    I .

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    3/5

    2(a) shows

    that

    the front surface

    fluorescence

    of the

    1-cm-thick

    test cell

    is red shifted

    with

    respect to the

    intrinsic

    fluorescence

    (from the 0.016-cm-thick

    cell).

    This

    red shift

    is expected because

    in the

    thick cell

    the

    fluorescence inside

    the

    solution

    contributes

    to the

    observed emission

    spectrum.

    Because

    of

    the longer

    path the

    fluorescence has

    to propagate

    through

    the

    dye solution,

    the

    shorter-wavelength

    region of the

    emission

    spectrum will preferentially

    be absorbed

    by

    the dye compared with the longer-wavelength region.

    Thus the resultant

    fluorescence

    spectrum

    from a

    thick

    cell is red

    shifted when compared

    with that

    from a thinner cell.

    This

    effect is

    further

    enhanced

    as shown

    by the dotted-dashed

    curve

    where

    an even

    bigger red

    shift results

    with

    the side

    excitation since

    the internally

    excited fluorescence

    now has

    on aver-

    age

    an even longer

    path

    to the viewing

    surface.

    The

    effect of a random-scattering

    medium

    on the

    fluorescence

    spectrum

    of the

    dye solution

    is pre-

    sented

    in Fig.

    2(b). The

    solid curve in Fig.

    2(b) is

    the

    fluorescence

    spectrum

    of 2 x

    10-

    7

    -M

    Rh6G in MPD

    in

    a 1-cm-thick

    cell.

    This

    spectrum is itself

    blue

    shifted when compared with that for a considerably

    higher

    concentration

    (3 orders of magnitude)

    of dye

    solution,

    as shown by

    the dashed

    curve

    in Fig.

    2(a).

    This observation

    illustrates

    the dependence

    of the

    fluorescence spectrum

    on

    dye concentration

    and the

    (expected)

    effects

    of self-absorption.

    The addition

    of

    TiO

    2

    scatterers

    into

    the dye solution

    results

    in a red

    shift

    of the

    luminescence

    spectrum

    obtained

    with

    front-surface

    excitation

    as shown in

    Fig. 2(b)

    by the

    dashed

    curve.

    The

    red shift

    arises from the

    longer

    random-walk

    path that the internally

    excited fluores-

    cence must now

    undergo

    in the

    scattering

    medium

    to

    reach the surface.

    To examine whether the wavelength dependence of

    particulate

    scattering

    plays

    a part

    in the

    observed

    effects, the

    fluorescence

    of

    the test cells without

    the

    scatterers

    was

    viewed

    through

    a cell containing scat-

    terers.

    The

    fluorescence

    spectrum

    transmitted

    through the dye-free

    scattering

    medium

    was

    found to

    be unaltered.

    For

    this purpose

    the

    experimental

    studies

    were

    carried

    out by the arrangement

    in

    Fig. 3.

    In this arrangement

    the

    fluorescence

    from

    the 1-cm-

    ArgonLaser

    Fig. 3.

    Schematic

    of the experimental

    setup for

    studying

    the

    effect of the fluorescence spectrum when it passes through a dye

    and a scattering

    medium.

    thick

    dye

    cell A that contains

    2 x 10-

    4

    -M Rh6G

    was

    transmitted

    through

    cell B

    without

    and

    with TiO

    2

    particles

    suspended

    in

    MPD but with

    no

    dye.

    The

    fluorescence

    spectrum

    from

    sample

    A as

    shown

    by the

    solid curve

    in

    Fig. 4

    was found

    to be essentially

    unaltered

    by the

    presence

    of (TiO

    2

    ) scatterers

    in

    sample B

    through

    which

    the

    fluorescence

    light was

    permitted

    to pass. Note

    that

    this

    fluorescence

    spec-

    trum

    is slightly

    different

    from

    that shown

    in Fig. 2(a),

    because the emitted fluorescence spectrum is highly

    dependent

    on the experimental

    geometry.

    Using

    a spectrophotometer,

    we

    also

    measured a

    direct

    transmission

    of the

    optical

    density

    through

    the

    1-cm-thick

    test

    cell

    that contained

    a TiO

    2

    scattering

    medium

    without

    a dye.

    The optical

    density

    did

    not

    show

    wavelength

    dependence

    from 550

    to 650

    nm.

    Both

    results

    above indicate

    that

    the

    wavelength

    dependence

    of light

    scattering

    in

    the TiO

    2

    medium

    is

    a negligible

    component

    in the dye fluorescence

    spec-

    trum

    observed

    at

    the surface,

    and hence

    it

    is not

    a

    significant

    factor in the

    red shift

    observed

    in Fig.

    2(b).

    The tests

    were

    repeated

    with

    Rh6G

    dye added

    to cell

    B, which contains the scatterers, and as expected the

    red shift

    is now observed.

    This

    red shift

    is shown by

    the

    dashed

    curve in Fig.

    4, which

    confirms

    that the

    red shift

    in

    the observed

    fluorescence

    spectrum

    is

    indeed

    a result

    of the

    increased

    random-walk

    absorp-

    tion

    that

    occurs

    at

    the shorter

    wavelengths

    of the

    fluorescence

    reaching the

    surface.

    To

    examine

    whether

    the introduction

    of

    the TiO

    2

    scattering

    beads

    may have

    affected

    energy

    levels

    and

    hence the

    intrinsic

    fluorescence

    emission

    spectrum

    of

    Rh6G,

    a thin

    0.016

    cm x

    1 cm test cell

    was used

    to

    study

    the

    fluorescence

    spectrum

    in

    the

    presence of

    TiO

    2

    scatterers.

    A thin test cell

    was used

    so that

    the

    long trajectory path for the fluorescence light that

    arises

    from the excitation

    of dye deep

    inside

    the cell

    is

    no

    longer

    a factor.

    The intrinsic

    fluorescence

    spec-

    trum of

    Rh6G

    (3 x 10-7 M)

    obtained

    by front-surface

    excitation

    fluorescence

    measurements

    is shown

    by

    the

    solid curve in Fig.

    5. With

    the

    addition

    of TiO

    2

    scatterers

    to the

    solution

    there

    is a small red shift

    a1

    b

    530

    580

    630

    660

    Wavelength nm)

    Fig.

    4. Fluorescence

    spectra

    (from

    2 x

    10-

    4

    -M

    Rh6G in

    a 1-cm-

    thick cell)

    when

    it passes

    through

    a sample: solid curve,

    with

    no

    scatterer

    and with a TiO

    2

    scatterer

    in the

    MPD; dashed

    curve,

    TiO

    2

    in MPD

    with a

    Rh6G dye

    (2 x

    10-4 M).

    2748

    APPLIED OPTICS

    / Vol.

    33, No.

    13 / 1 May

    1994

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    Wavelength )

    Fig. 5. Comparison of the fluorescence of a thin (0.016-cm) cell

    dye (3 x 10-

    7

    -M) with and without scatterers: solid curve, dye

    fluorescence; dashed curve, dye with scatterers' fluorescence.

    shown by the dashed curve in Fig. 5, which implies

    that the larger red shifts observed in Fig. 2(b) in thick

    cells (1 cm) are primarily a result of increased absorp-

    tion at the shorter wavelengths and the increased

    random-walk path length that the internally excited

    fluorescence emission in the 1-cm-thick cell must

    travel to reach the surface.

    The effects of increased scatterer densities were

    also examined in the 0.016 cm x 1 cm cells that were

    used to obtain the results in Fig. 2(b). Using the

    same dye concentrations (3

    x 10-7 M), we gradually

    increased the bead concentration and monitored the

    front-surface excitation fluorescence for different con-

    centrations. As the bead concentration was in-

    creased, we observed that the red shift in the ob-

    served fluorescence peak increased. A maximum

    shift of the peak to as high as 7 nm was observed at

    bead concentrations of 6.35 x 101

    2

    /cm

    3

    [Fig. 2(b)].

    As the bead concentration was increased further, the

    red shift was observed to decrease. At a bead concen-

    tration of 1.? x 10

    1

    8/cm

    3

    the peak of the fluorescence

    spectrum shown by the dashed curve (with scatterers)

    is 4 nm blue shifted versus the solid curve, as shown

    in Fig. 6. Both these effects may be understood

    qualitatively in the following manner: As the scatter-

    550 600 650 700

    Wavelength n)

    Fig. 6. Comparison of a dye (3 x 10-7 M) and dye with with

    scatterers' fluorescence of a maximum blue shift in a 1-cm-thick

    cell. Solid curve, dye fluorescence; dashed curve, dye with scat-

    terer fluorescence with scatterers.

    ing bead concentration is initially increased, the

    internally emitted fluorescence undergoes an in-

    crease in the length of the random walk it takes to get

    to the surface, and hence it undergoes more absorp-

    tion, which results in an increase in the red shift.

    This effect predominates until the increase in the

    concentration of scatterers reaches the point where it

    starts to inhibit penetration of the excitation radia-

    tion greatly, and hence the occurrence of excitation

    and fluorescence emission are both restricted to

    nearer the surface, with the length of the random

    walks to the surface consequently shortened and

    self-absorption and the red shift lessened. Thus two

    competing effects are at work.

    The excitation spectra of a dye solution are also

    significantly effected by the presence of scatterers.

    The curves in Fig. 7 show the excitation spectra of

    DCM dye in MPD observed at 630 nm when side

    excitation is used (Fig. 1). The observed excitation

    spectra in the absence of TiO

    2

    scatterers is shown by

    the solid curve, which shows two absorption bands at

    300-420 and 530-590 nm, which contribute to emis-

    sion at 630 nm. The contribution of 300-420-nm

    absorption bands is significantly reduced in the pres-

    ence of TiO

    2

    scatterers, which could be a result of

    either increased scattering and/or absorption of UV

    light by the TiO

    2

    scatterer, which reduces the amount

    of excitation light that reaches the dye. In the

    presence of scatterers the relative contribution of the

    excitation at the 400-520-nm band increases as the

    density of the scatterer increases. This observation

    is attributed to the random-walk process of the

    excitation light in the scattering medium. For the

    less absorbing excitation light, such as the 400-

    520-nm band, the scatter effectively increases the

    length of photon travel in the medium and therefore

    the interaction of the excitation light with the dye.

    This process ? in turn increases absorption and

    excitation in this relatively weakly absorbing 400-

    3 v4,->X@--9^v~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~/ I

    300

    400

    500

    OO 700

    Wavelength m)

    Fig. 7. Comparison of the excitation spectra of DCM dye

    (2.6 x 10-4 M) and dye with the scatterers increasing: solid

    curve, dye fluorescence; dashed curve, dye with 0.005-g scatterers'

    fluorescence; dashed-dotted curve, dye with 0.009-g scatterers'

    fluorescence; dotted curve, dye with 0.039-g scatterers' fluores-

    cence.

    1 May 1994 / Vol. 33, No. 13 / APPLIED OPTICS 2749

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    520-nm spectrum and therefore increases the ob-

    served fluorescence.

    Figure 7 also

    shows that

    the

    excitation

    in the

    520-590-nm band is reduced

    where

    the dye absorption

    is stronger. This observation

    shows that the

    relative amount

    of absorption for

    a

    stronger absorbing band is reduced with respect to

    the weaker absorbing band

    in a highly scattering

    medium, because the weaker

    absorbing light needs

    the

    longer random path

    to enhance the absorption.

    In conclusion, it is shown that the presence of

    random scattering

    in luminescent

    bodies affects

    the

    spectrum of the fluorescent

    radiation observed

    at the

    surface of

    these bodies.

    The primary

    effects ob-

    served are

    red shifts in the emission

    spectra with

    respect to the intrinsic fluorescence emission. These

    shifts may

    be understood

    in terms

    of an increased

    random walk and hence an increase in absorption

    that emission internally

    excited within the lumines-

    cent body undergoes

    when

    random-scattering

    pro-

    cesses are introduced.

    References

    1.

    K. M. Yoo, Z. W.

    Zang, S. A. Ahmed, and R. R. Alfano, Imagine

    objects hidden in scattering media using a fluorescence-

    absorption technique, Opt. Lett. 16, 1252-1254 (1991).

    2. D. B. Tata, M. Foresti,

    J. Cordero, P. Tomashefsky, M.

    A.

    Alfano, and R. R. Alfano, Fluorescence polarization spectros-

    copy and time-resolved fluorescence kinetics native cancerous

    and normal rat kidney tissues, Biophys. J. Biophys. Soc. 50,

    463-469 (1986).

    3. Y. L. Yang, Y. M. Ye, R. M. Li, Y. F. Li, and P. Z. Ma,

    Characteristic autofluorescence for cancer diagnosis and its

    origin, Laser Surg. Med. 7, 528-533 (1987).

    4. S. Montan and L. G. Stroemblad, Spectral characterization of

    brain tumors utilizing laser-induced fluorescence, Lasers Life

    Sci. 1, 275-285 (1987).

    5. B. L. Horecker, The absorption spectra of hemoglobin and its

    derivatives in the visible and near infrared regions, J. Biol.

    Chem. 148, 173-183 (1943).

    6. J. Martorell and N. M. Lawandy, Spontaneous emission in a

    disordered dielectric medium, Phys. Rev. Lett. 66, 887-890

    (1991).

    2750 APPLIED OPTICS / Vol. 33, No. 13 / 1 May 1994