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=== Data analysis ===
=== Data analysis ===
* Fast profile reconstruction using [[Function parametrization]]<ref>[http://dx.doi.org/10.1016/0010-4655(91)90073-T B.Ph. van Milligen, N.J. Lopes Cardozo, ''Function Parametrization: a fast inverse mapping method'', Comp. Phys. Commun. '''66''' (1991) 243]</ref><ref>[http://iopscience.iop.org/0029-5515/31/2/007 B.Ph. van Milligen et al., ''Application of Function Parametrization to the analysis of polarimetry and interferometry data in TEXTOR'', Nucl. Fusion '''31''' (1991) 309]</ref>
* Fast profile reconstruction using [[Function parametrization]]<ref>[http://dx.doi.org/10.1016/0010-4655(91)90073-T B.Ph. van Milligen, N.J. Lopes Cardozo, ''Function Parametrization: a fast inverse mapping method'', Comp. Phys. Commun. '''66''' (1991) 243]</ref><ref>[http://iopscience.iop.org/0029-5515/31/2/007 B.Ph. van Milligen et al., ''Application of Function Parametrization to the analysis of polarimetry and interferometry data in TEXTOR'', Nucl. Fusion '''31''' (1991) 309]</ref>
* [[Bayesian data analysis]] <ref>B.Ph. van Milligen, T. Estrada, E. Ascasíbar, et al, ''Integrated data analysis at TJ-II: the density profile'', Rev. Sci. Instrum. (2011) Accepted for publication</ref>
* [[Bayesian data analysis]] <ref name="bayes">B.Ph. van Milligen, T. Estrada, E. Ascasíbar, et al, ''Integrated data analysis at TJ-II: the density profile'', Rev. Sci. Instrum. (2011) Accepted for publication</ref>
* [[Biorthogonal decomposition]]
* [[Biorthogonal decomposition]]
* Analysis and interpretation of diagnostic output, e.g., [[TJ-II:Thomson Scattering|Thomson Scattering]]<ref>[http://link.aip.org/link/?RSINAK/74/3998/1 B.Ph. van Milligen et al, ''Revision of TV Thomson scattering data analysis and detection of profile structure'', Rev. Sci. Instrum. '''74''' (2003) 3998]</ref>, [[TJ-II:Reflectometry|Reflectometry]], [[TJ-II:Interferometry|Interferometry]], [[TJ-II:Electron Cyclotron Emission|Electron Cyclotron Emission]], [[TJ-II:Heavy Ion Beam Probe|Heavy Ion Beam Probe]], [[TJ-II:Magnetics|Magnetics]], [[TJ-II:Langmuir Probes|Langmuir Probes]]
* Analysis and interpretation of diagnostic output, e.g.:
** [[TJ-II:Thomson Scattering|Thomson Scattering]]<ref>[http://link.aip.org/link/?RSINAK/74/3998/1 B.Ph. van Milligen et al, ''Revision of TV Thomson scattering data analysis and detection of profile structure'', Rev. Sci. Instrum. '''74''' (2003) 3998]</ref>
** [[TJ-II:Reflectometry|Reflectometry]]<ref name="bayes"></ref>
** [[TJ-II:Interferometry|Interferometry]]
** [[TJ-II:Electron Cyclotron Emission|Electron Cyclotron Emission]]<ref>[http://dx.doi.org/10.1088/0029-5515/36/3/I02 V. Tribaldos and B. P. van Milligen, ''Electron cyclotron emission calculations for TJ-II stellarator'', Nucl. Fusion '''36''', 283 (1996)]</ref>
** [[TJ-II:Heavy Ion Beam Probe|Heavy Ion Beam Probe]]
** [[TJ-II:Magnetics|Magnetics]]
** [[TJ-II:Langmuir Probes|Langmuir Probes]]
** [[TJ-II:Helium Beam|Helium Beam]]
* [[Magnetic island]]s<ref>[http://dx.doi.org/10.1088/0029-5515/33/8/I03 B.Ph. van Milligen, A.C.A.P. van Lammeren, N.J. Lopes Cardozo, F.C. Schüller, and M. Verreck, ''Gradients of electron temperature and density across m=2 islands in RTP'', Nucl. Fusion '''33''' (1993) 1119]</ref>
* [[Magnetic island]]s<ref>[http://dx.doi.org/10.1088/0029-5515/33/8/I03 B.Ph. van Milligen, A.C.A.P. van Lammeren, N.J. Lopes Cardozo, F.C. Schüller, and M. Verreck, ''Gradients of electron temperature and density across m=2 islands in RTP'', Nucl. Fusion '''33''' (1993) 1119]</ref>
* Analysis of [[TJ-II:Turbulence|turbulence]] and transport<ref>[http://link.aip.org/link/?PHPAEN/12/052507/1 B.Ph. Van Milligen et al, ''Additional evidence for the universality of turbulent fluctuations and fluxes in the scrape-off layer region of fusion plasmas'', Phys. Plasmas '''12''' (2005) 052507]</ref><ref>[http://dx.doi.org/10.1088/0029-5515/42/7/301 B.Ph. van Milligen, E. de la Luna, F.L. Tabarés, et al., ''Ballistic transport phenomena in TJ-II'', Nucl. Fusion '''42''' (2002) 787]</ref>
* Analysis of [[TJ-II:Turbulence|turbulence]] and transport<ref>[http://link.aip.org/link/?PHPAEN/12/052507/1 B.Ph. Van Milligen et al, ''Additional evidence for the universality of turbulent fluctuations and fluxes in the scrape-off layer region of fusion plasmas'', Phys. Plasmas '''12''' (2005) 052507]</ref><ref>[http://dx.doi.org/10.1088/0029-5515/42/7/301 B.Ph. van Milligen, E. de la Luna, F.L. Tabarés, et al., ''Ballistic transport phenomena in TJ-II'', Nucl. Fusion '''42''' (2002) 787]</ref>
* [[Bicoherence]]<ref>[http://link.aps.org/doi/10.1103/PhysRevLett.74.395 B.Ph. van Milligen et al, ''Nonlinear phenomena and intermittency in plasma turbulence'', Phys. Rev. Lett. '''74''', 3 (1995) 395]</ref><ref>[http://link.aip.org/link/?PHPAEN/2/3017/1 B.Ph. van Milligen et al, ''Wavelet bicoherence: a new turbulence analysis tool'', Phys. Plasmas '''2''', 8 (1995) 3017]</ref><ref>[http://link.aip.org/link/?RSINAK/68/967/1 B.Ph. van Milligen et al, ''Statistically robust linear and non-linear wavelet analysis applied to plasma edge turbulence'', Rev. Sci. Instrum. '''68''' (1997) 967]</ref><ref>[http://dx.doi.org/10.1088/0029-5515/48/11/115003 B.Ph. van Milligen et al, ''Bicoherence during confinement transitions in the TJ-II stellarator'', Nucl. Fusion '''48''' (2008) 115003]</ref>
* Non-linear and non-standard data analysis methods
** [[Bicoherence]]<ref>[http://link.aps.org/doi/10.1103/PhysRevLett.74.395 B.Ph. van Milligen et al, ''Nonlinear phenomena and intermittency in plasma turbulence'', Phys. Rev. Lett. '''74''', 3 (1995) 395]</ref><ref>[http://link.aip.org/link/?PHPAEN/2/3017/1 B.Ph. van Milligen et al, ''Wavelet bicoherence: a new turbulence analysis tool'', Phys. Plasmas '''2''', 8 (1995) 3017]</ref><ref>[http://link.aip.org/link/?RSINAK/68/967/1 B.Ph. van Milligen et al, ''Statistically robust linear and non-linear wavelet analysis applied to plasma edge turbulence'', Rev. Sci. Instrum. '''68''' (1997) 967]</ref><ref>[http://dx.doi.org/10.1088/0029-5515/48/11/115003 B.Ph. van Milligen et al, ''Bicoherence during confinement transitions in the TJ-II stellarator'', Nucl. Fusion '''48''' (2008) 115003]</ref>
** Hilbert-Huang transform <ref>[http://stacks.iop.org/0029-5515/51/053022 B.A. Carreras et al., ''Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer'', Nucl. Fusion '''51''' (2011) 053022]</ref>
** Hurst or rescaled-range analysis, structure functions, etc.<ref>[http://link.aip.org/link/?PHPAEN/6/1885/1 B.A. Carreras, B.Ph. van Milligen, et al, ''Experimental evidence of long-range correlation and self-similarity in plasma fluctuations'', Phys. Plasmas '''6''', 5 (1999) 1885]</ref>
* [[TJ-II:Confinement transitions|Confinement transitions]] <ref>[http://dx.doi.org/10.1088/0029-5515/51/1/013005 B.Ph. van Milligen et al, ''A global resonance phenomenon at the TJ-II stellarator'', Nucl. Fusion '''51''' (2011) 013005]</ref>
* [[TJ-II:Confinement transitions|Confinement transitions]] <ref>[http://dx.doi.org/10.1088/0029-5515/51/1/013005 B.Ph. van Milligen et al, ''A global resonance phenomenon at the TJ-II stellarator'', Nucl. Fusion '''51''' (2011) 013005]</ref>
* [[TJ-II:Tomography|Tomography]]
* [[TJ-II:Tomography|Tomography]]
* Hilbert-Huang transform <ref>[http://stacks.iop.org/0029-5515/51/053022 B.A. Carreras et al., ''Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer'', Nucl. Fusion '''51''' (2011) 053022]</ref>
* Image analysis
* Image analysis


== References ==
== References ==
<references/>
<references/>

Revision as of 11:53, 1 July 2011

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References

  1. B.Ph. van Milligen, R. Sánchez, and B.A. Carreras, Probabilistic finite-size transport models for fusion: anomalous transport and scaling laws, Phys. Plasmas 11, 5 (2004) 2272
  2. B.Ph. van Milligen, B.A. Carreras, and R. Sánchez, Uphill transport and the probabilistic transport model, Phys. Plasmas 11, 3787 (2004)
  3. B.Ph. van Milligen, P.D. Bons, B.A. Carreras and R. Sánchez, On the applicability of Fick's Law to diffusion in inhomogeneous systems, Eur. J. Phys. 26 (2005) 913
  4. B.Ph. van Milligen, B.A. Carreras and R. Sánchez, The foundations of diffusion revisited, Plasma Phys. Control. Fusion 47 (2005) B743
  5. B.Ph. van Milligen, I. Calvo, and R. Sánchez, Continuous time random walks in finite domains and general boundary conditions: some formal considerations, J. Phys. A: Math. Theor. 41 (2008) 215004
  6. B.Ph. van Milligen, B.A. Carreras, V.E. Lynch and R. Sánchez, Pulse propagation in a simple probabilistic transport model, Nucl. Fusion 47 (2007) 189
  7. B.Ph. van Milligen et al, Quantifying profile stiffness, Plasma and Fusion Research, 3 (2008) S1070
  8. B.Ph. van Milligen, V. Tribaldos, J.A. Jiménez, A neural network differential equation and plasma equilibrium solver, Phys. Rev. Lett. 75 (1995) 3594
  9. B.Ph. van Milligen and A. Lopez Fraguas, Expansion of vacuum magnetic fields in toroidal harmonics, Computer Physics Communications 81, Issues 1-2 (1994) 74-90
  10. B.Ph. van Milligen, N.J. Lopes Cardozo, Function Parametrization: a fast inverse mapping method, Comp. Phys. Commun. 66 (1991) 243
  11. B.Ph. van Milligen et al., Application of Function Parametrization to the analysis of polarimetry and interferometry data in TEXTOR, Nucl. Fusion 31 (1991) 309
  12. 12.0 12.1 B.Ph. van Milligen, T. Estrada, E. Ascasíbar, et al, Integrated data analysis at TJ-II: the density profile, Rev. Sci. Instrum. (2011) Accepted for publication
  13. B.Ph. van Milligen et al, Revision of TV Thomson scattering data analysis and detection of profile structure, Rev. Sci. Instrum. 74 (2003) 3998
  14. V. Tribaldos and B. P. van Milligen, Electron cyclotron emission calculations for TJ-II stellarator, Nucl. Fusion 36, 283 (1996)
  15. B.Ph. van Milligen, A.C.A.P. van Lammeren, N.J. Lopes Cardozo, F.C. Schüller, and M. Verreck, Gradients of electron temperature and density across m=2 islands in RTP, Nucl. Fusion 33 (1993) 1119
  16. B.Ph. Van Milligen et al, Additional evidence for the universality of turbulent fluctuations and fluxes in the scrape-off layer region of fusion plasmas, Phys. Plasmas 12 (2005) 052507
  17. B.Ph. van Milligen, E. de la Luna, F.L. Tabarés, et al., Ballistic transport phenomena in TJ-II, Nucl. Fusion 42 (2002) 787
  18. B.Ph. van Milligen et al, Nonlinear phenomena and intermittency in plasma turbulence, Phys. Rev. Lett. 74, 3 (1995) 395
  19. B.Ph. van Milligen et al, Wavelet bicoherence: a new turbulence analysis tool, Phys. Plasmas 2, 8 (1995) 3017
  20. B.Ph. van Milligen et al, Statistically robust linear and non-linear wavelet analysis applied to plasma edge turbulence, Rev. Sci. Instrum. 68 (1997) 967
  21. B.Ph. van Milligen et al, Bicoherence during confinement transitions in the TJ-II stellarator, Nucl. Fusion 48 (2008) 115003
  22. B.A. Carreras et al., Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer, Nucl. Fusion 51 (2011) 053022
  23. B.A. Carreras, B.Ph. van Milligen, et al, Experimental evidence of long-range correlation and self-similarity in plasma fluctuations, Phys. Plasmas 6, 5 (1999) 1885
  24. B.Ph. van Milligen et al, A global resonance phenomenon at the TJ-II stellarator, Nucl. Fusion 51 (2011) 013005