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...
Main Authors: | , |
---|---|
Other Authors: | |
Format: | Text |
Language: | English |
Published: |
1990
|
Subjects: | |
Online Access: | http://www.dtic.mil/docs/citations/ADP006498 http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADP006498 |
id |
ftdtic:ADP006498 |
---|---|
record_format |
openpolar |
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. |
_version_ |
1766218525293150208 |