The biorthogonal decomposition as a tool for investigating fluctuations in plasmas

The investigation of fluctuation phenomena in plasmas often necessitates the analysis of spatiotemporal signals. It is shown how such signals can be analyzed using the biorthogonal decomposition, which splits them into orthogonal spatial and temporal modes. The method, also referred to as the singul...

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Bibliographic Details
Published in:Physics of plasmas 1994-10, Vol.1 (10), p.3288-3300
Main Authors: Dudok de Wit, T., Pecquet, A.‐L., Vallet, J.‐C., Lima, R.
Format: Article
Language:English
Subjects:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Astrophysics
CLOSED PLASMA DEVICES
Data Analysis, Statistics and Probability
ELECTROMAGNETIC RADIATION
FLUCTUATIONS
FLUID MECHANICS
HYDRODYNAMICS
INSTABILITY
Instrumentation and Methods for Astrophysic
IONIZING RADIATIONS
MAGNETOHYDRODYNAMICS
MATHEMATICS
MECHANICS
MULTIVARIATE ANALYSIS
Physics
PLASMA
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
Plasma Physics
RADIATIONS
Solar and Stellar Astrophysics
Space Physics
STATISTICS
STOCHASTIC PROCESSES
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
VARIATIONS 700340 > Plasma Waves, Oscillations, & Instabilities-- (1992-)
X RADIATION
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Summary:The investigation of fluctuation phenomena in plasmas often necessitates the analysis of spatiotemporal signals. It is shown how such signals can be analyzed using the biorthogonal decomposition, which splits them into orthogonal spatial and temporal modes. The method, also referred to as the singular value decomposition, allows complex spatiotemporal patterns to be decomposed into a few coherent modes that are often easier to interpret. This is illustrated with two applications to fluctuating soft x‐ray and magnetic signals, as measured in a tokamak. Emphasis is given to the physical interpretation of the biorthogonal components and their link with known physical models is discussed. It is shown how new insight can be gained in the interpretation of spatiotemporal plasma dynamics.
ISSN:1070-664X
1089-7674
DOI:10.1063/1.870481