Ionospheric Modulation & Climate Geo-engineering

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    Ionospheric modification and ELF/VLF

    wave generation by HAARP

    Nikolai G. Lehtinen and Umran S. Inan

    STAR Lab, Stanford University

    January 7, 2006

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    Generation of ELF/VLF waves

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    HAARP

    After upgrade in March 2006:

    180 crossed dipole antennas

    3.6 MW power

    ~2 GW effective radiated HF power (2.8-10

    MHz) (lightning has ~20 GW isotropic ERP)

    High Frequency Active Auroral Research Program

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    HAARP and other HF heating

    facilities

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    Important electron-molecule interaction

    concept: Dynamic friction force

    Inelastic processes:

    Rotational,

    vibrational,electronic level

    excitations

    Dissociative

    losses

    Ionization

    (E/N)br=130 Td where 1 Td = 10-21 V-m2

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    Kinetic Equation Solver

    (modified ELENDIF)

    Time-dependent solution forf(v,t) = f0(v,t) + cos f1(v,t)

    (almost isotropic)

    Physical processes inluded in ELENDIF: Quasistatic electric field

    Elastic scattering on neutrals and ions

    Inelastic and superelastic scattering

    Electron-electron collisions

    Attachment and ionization

    Photon-electron processes

    External source of electronsNew:

    Non-static (harmonic) electric field

    Geomagnetic field

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    Importance of these processes

    The quasistatic

    approximation

    used by ELENDIFrequires m>>

    Geomagnetic field

    is also important:

    H~2 x 1 MHz

    H

    HAARP

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    Analytical solution

    Margenau distribution

    where l=v/ m=(N m)-1=const

    Druyvesteyn distribution =0

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    Calculated electron distributions

    Electron distributions for various RMS E/N

    (in Td). f>0 corresponds to extaordinary

    wave (fH=1 MHz, h=91 km)

    Effectiveelectric field issmaller than in

    DC case:

    + ordinary

    - extraordinary

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    Breakdown field

    (used for the estimate of m,eff)

    Breakdown occurs

    when ion> att

    The point ofbreakdown (shown

    with ) shifts up in

    oscillating field

    f(v) at ionization

    energy (~15 eV) is

    most important

    h = 91 km, extraordinary, fH=1 MHz

    2

    13 1 31

    2 10

    br br H

    DC

    E E

    N N N s m

    +

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    HF wave propagation

    Power flux (1D), including losses:

    HF conductivity (ordinary/extaordinary)

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    Calculated HF electric field

    Normalized field,

    E/Ebr is shown

    For comparison,we show the

    dynamic friction

    function

    The N2 vibrational

    threshold or

    breakdown field arenot exceeded for

    current or

    upgraded HAARPpower

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    Is breakdown achievable at all?

    The electric fieldcan be higher in anon-steady statecase

    Electric breakdownfield with altitude: Decreases due to

    thinningatmosphere

    But, increases due

    to oscillations andmagnetization.

    2

    13 1 3

    12 10

    br br H

    DC

    E E

    N N N s m

    +

    Propagation with no absorption

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    Temperature modification

    (daytime, x mode)

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    Comparison of Maxwellian and

    non-Maxwellian approaches

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    DC conductivity changes

    (for electrojet current)

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    Conductivity tensor (DC)

    Conductivity changes due to modification of

    electron distribution

    Approximate formulas were used previously

    Pedersen (transverse)

    Hall (off-diagonal)

    Parallel

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    Conductivity modification

    Pedersenconductivity isincreased

    Parallelconductivity is

    decreased

    C d ti it f ti f E/N

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    Conductivity as a function of E/N

    (x-mode, h=80 km, f=0,3,7 MHz)

    Solid line shows

    conductivitymodifications byDC field

    Black intervalsconnect theconductivitiesmodified by

    maximumHAARP heatingbefore and afterupgrade

    R l ti h f d ti it

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    Relative change of conductivity

    (E)/ (E=0)

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    Electric current calculations

    In most previous works, it is

    assumed that the electrojet field

    Eej=const => inaccurate at lowfrequencies (no account for the

    accumulation of charge) We assume static current, i.e.

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    3D stationary J

    Vertical B

    Ambient E is along x

    Ambient current ismostly along y

    Models with E=0 donot consider closing

    side currents max J/J0~0.3 for this

    case

    C l l t d J/J f i

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    Calculated J/J0 for various

    frequencies

    Range 70-130km

    Modified region

    radius ~10 kmbefore upgradeand ~5 km afterupgrade

    Calculatedmaximumcurrent and its

    modificationoccur at~109km

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    Conclusions

    Our model includes both: Non-Maxwellian electron distribution

    Self-absorption

    Maxwellian electron distribution models,which calculate Te, cannot account forthe nonlinear T

    esaturation.

    The non-Maxwellian model allows tocalculate processes for which high-energy

    tail of the electron distribution isimportant, such as: optical emissions

    breakdown processes.

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    Work in progress

    Electrojet current modulation in non-static case

    ELF/VLF emission

    ELF/VLF wave propagation along the

    geomagnetic field line