On the validity of the Weak Turbulence Approximation

The weak Langmuir turbulence approach to explain the artificial plasma line in ionospheric radio modification experiments, is examined. The mathematical model is a version of the one dimensional Zakharov equations, including damping and a nonlinear a.c. driving. Numerical full wave solutions to this...

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Main Authors: Hanssen, A., Mjoelhus, E.
Other Authors: TROMSOE UNIV (NORWAY)
Format: Text
Language:English
Published: 1990
Subjects:
Online Access:http://www.dtic.mil/docs/citations/ADP006498
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spelling ftdtic:ADP006498 2023-05-15T18:33:54+02:00 On the validity of the Weak Turbulence Approximation Hanssen, A. Mjoelhus, E. TROMSOE UNIV (NORWAY) 1990-10 text/html http://www.dtic.mil/docs/citations/ADP006498 http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADP006498 en eng http://www.dtic.mil/docs/citations/ADP006498 Availability: This paper covered by copyright. No copies furnished by DTIC/NTIS. DTIC AND NTIS Atmospheric Physics *IONOSPHERIC MODIFICATION APPROACH BURNOUT COLLAPSE CYCLES DAMPING ELECTRONS EQUATIONS FREQUENCY IONS KINETICS MATHEMATICAL MODELS ONE DIMENSIONAL REFLECTION REGIONS SATURATION THEORY TURBULENCE NORWAY Component Reports NATO Furnished Langmuir turbulence Zakharov equations Cascade theory Text 1990 ftdtic 2016-02-19T17:32:39Z The weak Langmuir turbulence approach to explain the artificial plasma line in ionospheric radio modification experiments, is examined. The mathematical model is a version of the one dimensional Zakharov equations, including damping and a nonlinear a.c. driving. Numerical full wave solutions to this set of equations are compared with the saturation spectrum determined by a wave kinetic equation derived from the same set of equations. We found that a distance below the 0-mode reflection level, w - wp > (-IM)wp (w applied frequency; wp plasma frequency; m, M electron and ion masses), the full wave solution is in good qualitative agreement with the cascade theory. The number of cascades seen in the full wave solution is generally smaller than that of the saturation spectrum of the wave kinetic equation. On the other hand, in the reflection region w - wp < (m/M)wp, a qualitatively different process takes place, describable as many localized cycles of nucleation, (one dimensional driven) collapse, and burnout, similar to the results of Doolen et al.8. These findings are discussed with respect to the experiments performed in Arecibo and Tromso. This article is from 'Conference Proceedings on Ionospheric Modifications and its Potential to Enchance or Degrade the Performance of Military Systems held in Bergen, Norway on 28-31 MAY 1990 (La Modification de l'Ionosphere et son Potentiel d'Amelioration ou de Degradation des Performances des Systemes Militaires), AD-A239 823, p9-1 thru p9-12. Text Tromso Tromso Defense Technical Information Center: DTIC Technical Reports database Bergen Langmuir ENVELOPE(-67.150,-67.150,-66.967,-66.967) Norway Tromso ENVELOPE(16.546,16.546,68.801,68.801) Zakharov ENVELOPE(130.617,130.617,64.650,64.650)
institution Open Polar
collection Defense Technical Information Center: DTIC Technical Reports database
op_collection_id ftdtic
language English
topic Atmospheric Physics
*IONOSPHERIC MODIFICATION
APPROACH
BURNOUT
COLLAPSE
CYCLES
DAMPING
ELECTRONS
EQUATIONS
FREQUENCY
IONS
KINETICS
MATHEMATICAL MODELS
ONE DIMENSIONAL
REFLECTION
REGIONS
SATURATION
THEORY
TURBULENCE
NORWAY
Component Reports
NATO Furnished
Langmuir turbulence
Zakharov equations
Cascade theory
spellingShingle Atmospheric Physics
*IONOSPHERIC MODIFICATION
APPROACH
BURNOUT
COLLAPSE
CYCLES
DAMPING
ELECTRONS
EQUATIONS
FREQUENCY
IONS
KINETICS
MATHEMATICAL MODELS
ONE DIMENSIONAL
REFLECTION
REGIONS
SATURATION
THEORY
TURBULENCE
NORWAY
Component Reports
NATO Furnished
Langmuir turbulence
Zakharov equations
Cascade theory
Hanssen, A.
Mjoelhus, E.
On the validity of the Weak Turbulence Approximation
topic_facet Atmospheric Physics
*IONOSPHERIC MODIFICATION
APPROACH
BURNOUT
COLLAPSE
CYCLES
DAMPING
ELECTRONS
EQUATIONS
FREQUENCY
IONS
KINETICS
MATHEMATICAL MODELS
ONE DIMENSIONAL
REFLECTION
REGIONS
SATURATION
THEORY
TURBULENCE
NORWAY
Component Reports
NATO Furnished
Langmuir turbulence
Zakharov equations
Cascade theory
description The weak Langmuir turbulence approach to explain the artificial plasma line in ionospheric radio modification experiments, is examined. The mathematical model is a version of the one dimensional Zakharov equations, including damping and a nonlinear a.c. driving. Numerical full wave solutions to this set of equations are compared with the saturation spectrum determined by a wave kinetic equation derived from the same set of equations. We found that a distance below the 0-mode reflection level, w - wp > (-IM)wp (w applied frequency; wp plasma frequency; m, M electron and ion masses), the full wave solution is in good qualitative agreement with the cascade theory. The number of cascades seen in the full wave solution is generally smaller than that of the saturation spectrum of the wave kinetic equation. On the other hand, in the reflection region w - wp < (m/M)wp, a qualitatively different process takes place, describable as many localized cycles of nucleation, (one dimensional driven) collapse, and burnout, similar to the results of Doolen et al.8. These findings are discussed with respect to the experiments performed in Arecibo and Tromso. This article is from 'Conference Proceedings on Ionospheric Modifications and its Potential to Enchance or Degrade the Performance of Military Systems held in Bergen, Norway on 28-31 MAY 1990 (La Modification de l'Ionosphere et son Potentiel d'Amelioration ou de Degradation des Performances des Systemes Militaires), AD-A239 823, p9-1 thru p9-12.
author2 TROMSOE UNIV (NORWAY)
format Text
author Hanssen, A.
Mjoelhus, E.
author_facet Hanssen, A.
Mjoelhus, E.
author_sort Hanssen, A.
title On the validity of the Weak Turbulence Approximation
title_short On the validity of the Weak Turbulence Approximation
title_full On the validity of the Weak Turbulence Approximation
title_fullStr On the validity of the Weak Turbulence Approximation
title_full_unstemmed On the validity of the Weak Turbulence Approximation
title_sort on the validity of the weak turbulence approximation
publishDate 1990
url http://www.dtic.mil/docs/citations/ADP006498
http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADP006498
long_lat ENVELOPE(-67.150,-67.150,-66.967,-66.967)
ENVELOPE(16.546,16.546,68.801,68.801)
ENVELOPE(130.617,130.617,64.650,64.650)
geographic Bergen
Langmuir
Norway
Tromso
Zakharov
geographic_facet Bergen
Langmuir
Norway
Tromso
Zakharov
genre Tromso
Tromso
genre_facet Tromso
Tromso
op_source DTIC AND NTIS
op_relation http://www.dtic.mil/docs/citations/ADP006498
op_rights Availability: This paper covered by copyright. No copies furnished by DTIC/NTIS.
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