Admin

Joined 13 July 2009
 
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[[File:BvM.jpg|right|]]
== Personal information ==
== Personal information ==
__NOTOC__
__NOTOC__
* Boudewijn van Milligen (Admin)
* Boudewijn van Milligen (Admin)
* Researcher at: <br>[[Laboratorio Nacional de Fusión]] - [[CIEMAT]] <br>Avda. Complutense 22, Edif. 66<br>28040 Madrid, España - Spain
* Researcher at: <br>[[Laboratorio Nacional de Fusión]] - [[CIEMAT]] <br>Avda. Complutense 40, Edif. 66<br>28040 Madrid, España - Spain
* Tel. +34-91-346.6379 Fax: +34-91-346.6124
* Tel. +34 - 914 962 682
* [http://www-fusion.ciemat.es/New_fusion/es/Laboratorio/personal/Boudewijn Old personal web page]
* Email boudewijn.vanmilligen (at) ciemat.es
Contact me by clicking 'discussion' above and editing that page.
User profiles:
* [https://publons.com/researcher/1248698/boudewijn-ph-van-milligen/ Publons] (ResearcherID)
* [http://orcid.org/0000-0001-5344-6274 ORCID]
* [https://www.scopus.com/authid/detail.uri?authorId=35476190300 Scopus]
* [http://scholar.google.com/citations?user=7z9Cr9oAAAAJ Google Scholar]
* [https://www.researchgate.net/profile/Boudewijn_Van_Milligen/ ResearchGate]


== Interests ==
== Interests ==


=== Theory ===
* Fusion and plasma physics
** [[H-mode|L-H transition]], Zonal Flows
** [[Magnetic island]]s, MHD activity
* [[Anomalous transport]]
** Turbulence
** Continuous Time Random Walks
* Data analysis
** [[Causality detection]]
** [[Intermittence]]
** [[:Wikipedia:Rescaled range|Rescaled range]] or [[:Wikipedia:Hurst exponent|Hurst]] analysis
** [[Bayesian data analysis]]
** [[Biorthogonal decomposition]]
** [[Bicoherence]]
** [[TJ-II:Tomography|Tomography]]


{| class="wikitable"  align="center" border="1"
== Book ==
|- valign="top"
| [[Continuous Time Random Walk|Random walks]] and non-Gaussian statistics, [[Non-diffusive transport|non-diffusive]] and [[Anomalous transport|anomalous transport]], [[Self-Organised Criticality]]
|
* [http://link.aip.org/link/?PHPAEN/11/2272/1 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]
* [http://link.aip.org/link/?PHPAEN/11/3787/1 B.Ph. van Milligen, B.A. Carreras, and R. Sánchez, ''Uphill transport and the probabilistic transport model'', Phys. Plasmas '''11''', 3787 (2004)]
* [[doi:10.1088/0143-0807/26/5/023|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]]
* [[doi:10.1088/0741-3335/47/12B/S56|B.Ph. van Milligen, B.A. Carreras and R. Sánchez, ''The foundations of diffusion revisited'', Plasma Phys. Control. Fusion '''47''' (2005) B743]]
* [[doi:10.1088/1751-8113/41/21/215004|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]]
* [[doi:10.1088/0029-5515/47/3/004|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]]
* [http://www.jspf.or.jp/PFR/PFR_articles/pfr2008S1/pfr2008_03-S1070.html B.Ph. van Milligen et al, ''Quantifying profile stiffness'', Plasma and Fusion Research, '''3''' (2008) S1070]
|- valign="top"
| Chaos ||
|- valign="top"
| Neural networks
|
* [http://link.aps.org/doi/10.1103/PhysRevLett.75.3594 B.Ph. van Milligen, V. Tribaldos, J.A. Jiménez, ''A neural network differential equation and plasma equilibrium solver'', Phys. Rev. Lett. '''75''' (1995) 3594]
|- valign="top"
| [[MHD equilibrium|Equilibrium]] calculations, [[Toroidal coordinates|toroidal harmonics]]
|
* [[doi:10.1016/0010-4655(94)90112-0|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]]


|}
B.Ph. van Milligen and R. Sánchez, ''Analysis of Turbulence in Fusion Plasmas'', [[doi:10.1088/978-0-7503-4856-0|IOP Publishing (2022)]], {{ISBN|978-0-7503-4854-6}}


=== Data analysis ===
== Selected publications ==


{| class="wikitable"  align="center" border="1"
(inverse chronological order)
|- valign="top"
=== &ge; 2020 ===
| Fast profile reconstruction using [[Function parametrization]]
* B.Ph. van Milligen, I. Voldiner, B.A. Carreras, L. García, M.A. Ochando and The TJ-II Team, ''Rational surfaces, flows and radial structure in the TJ-II stellarator'', [[doi:10.1088/1741-4326/aca688|Nucl. Fusion '''63''' (2023) 016027]] [[File:Open Access Icon.png|10px|link=:Wikipedia:Open_access_(publishing)|Open access]]
|
* B.Ph. Van Milligen, B.A. Carreras, L. Garcia, G. Grenfell, I. Voldiner and C. Hidalgo, ''The impact of radial electric fields and plasma rotation on intermittence in TJ-II'', [[doi:10.1088/1361-6587/ac54e9|Plasma Phys. Control. Fusion '''64''', 5 (2022) 055006]] ([http://documenta.ciemat.es/handle/123456789/2290 repository])
* [[doi: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]]
* B. van Milligen, A. Melnikov, B. Carreras, L. Garcia, A. Kozachek, C. Hidalgo, J. de Pablos, Ph. Khabanov, L. Eliseev, M. Drabinskij, A. Chmyga, L. Krupnik, the HIBP Team, the TJ-II Team, ''Topology of 2-D turbulent structures based on intermittence in the TJ-II stellarator'', [[doi:10.1088/1741-4326/ac27c9|Nucl. Fusion '''61''', 11 (2021) 116063]] ([http://documenta.ciemat.es/handle/123456789/2281 repository])
* [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]
* B.Ph. van Milligen, B.A. Carreras, I. Voldiner, U. Losada, C. Hidalgo, and the TJ-II Team, ''Causality, intermittence and crossphase evolution during confinement transitions in the TJ-II stellarator'', [[doi:10.1063/5.0057791|Phys. Plasmas '''28''' (2021) 092302]] ([http://documenta.ciemat.es/handle/123456789/2289 repository])
|- valign="top"
* B.Ph. van Milligen, B. Carreras, L. García and C. Hidalgo, ''The localization of low order rational surfaces based on the intermittence parameter in the TJ-II stellarator'', [[doi:10.1088/1741-4326/ab79cc|Nucl. Fusion '''60''' (2020) 056010]] ([http://documenta.ciemat.es/handle/123456789/2291 repository])
| [[Bayesian data analysis]]
 
|
=== 2010-2019 ===
* [http://link.aip.org/link/doi/10.1063/1.3608551 B.Ph. van Milligen, T. Estrada, E. Ascasíbar, et al, ''Integrated data analysis at TJ-II: the density profile'', Rev. Sci. Instrum. '''82''' (2011) 073503]
* B.Ph. van Milligen, B. Carreras, L. García and J. Nicolau, ''The radial propagation of heat in strongly driven non-equilibrium fusion plasmas'', [[doi:10.3390/e21020148|Entropy, '''21''', 2 (2019) 148]] [[File:Open Access Icon.png|10px|link=:Wikipedia:Open_access_(publishing)|Open access]]
|- valign="top"
* B.Ph. van Milligen, B. Carreras, E. de la Luna and E. Solano, ''Radial variation of heat transport in L-mode JET discharges'' [[doi:10.1088/1741-4326/ab03e1|Nucl. Fusion, '''59''' (2019) 056006]] ([http://documenta.ciemat.es/handle/123456789/2292 repository])
| [[Biorthogonal decomposition]] ||
* B.Ph. van Milligen, B.A. Carreras, C. Hidalgo, Á. Cappa and the TJ-II Team, ''A possible mechanism for confinement power degradation in the TJ-II stellarator'', [[doi:10.1063/1.5029881|Phys. Plasmas '''25''' (2018) 062503]] ([http://documenta.ciemat.es/handle/123456789/2308 repository])
|- valign="top"
* B.Ph. van Milligen, U. Hoefel, J. Nicolau, M. Hirsch, L. García, B. Carreras, C. Hidalgo and the W7-X Team, ''Study of radial heat transport in W7-X using the transfer entropy'', [[doi:10.1088/1741-4326/aabf5d|Nucl. Fusion '''58''' (2018) 076002]] ([http://hdl.handle.net/10016/32565 repository])
| Analysis and interpretation of diagnostic output, e.g.:
* B.Ph. van Milligen, J. Hernández Nicolau, B. Liu, G. Grenfell, U. Losada, B. Carreras, L. Garcia and C. Hidalgo, ''Filaments in the edge confinement region of TJ-II'', [[doi:10.1088/1741-4326/aa9db6|Nucl. Fusion '''58''' (2018) 026030]] ([http://hdl.handle.net/10016/32563 repository])
* [[TJ-II:Thomson Scattering|Thomson Scattering]]
* B.Ph. van Milligen, J.H. Nicolau, L. García, B.A. Carreras, C. Hidalgo and the TJ-II Team, ''The impact of rational surfaces on radial heat transport in TJ-II'', [[doi:10.1088/1741-4326/aa611f|Nucl. Fusion '''57''', 5 (2017) 056028]], [https://arxiv.org/abs/1701.04574 arxiv:1701.04574]
* [[TJ-II:Reflectometry|Reflectometry]]
* B.Ph. van Milligen, T. Estrada, B.A. Carreras, E. Ascasíbar, C. Hidalgo, I. Pastor, J.M. Fontdecaba, R. Balbín and the TJ-II Team, ''The causal impact of magnetic fluctuations in slow and fast L–H transitions at TJ-II'', [[doi:10.1063/1.4958807|Phys. Plasmas '''23''' (2016) 072305]], [https://arxiv.org/abs/1512.06525 arxiv:1512.06525]
* [[TJ-II:Interferometry|Interferometry]]
* B.Ph. van Milligen, B.A. Carreras, L. García, A. Martín de Aguilera, C. Hidalgo, J.H. Nicolau and the TJ-II Team, ''The causal relation between turbulent particle flux and density gradient'', [[doi:10.1063/1.4958806|Phys. Plasmas '''23''' (2016) 072307]]
* [[TJ-II:Electron Cyclotron Emission|Electron Cyclotron Emission]]
* B.Ph. van Milligen, B.A. Carreras and D.E. Newman, ''Constructing criteria to diagnose the likelihood of extreme events in the case of the electric power grid'', [[doi:10.1063/1.4943569|Chaos '''26''' (2016) 033109]]
* [[TJ-II:Heavy Ion Beam Probe|Heavy Ion Beam Probe]]
* B.Ph. van Milligen, T. Estrada, L. García, D. López-Bruna, B. Carreras, Y. Xu, M. Ochando, C. Hidalgo, J. Reynolds-Barredo and A. López-Fraguas, ''The role of magnetic islands in modifying long range temporal correlations of density fluctuations and local heat transport'', [[doi:10.1088/0029-5515/56/1/016013|Nucl. Fusion, '''56''', 1 (2016) 016013]], [https://arxiv.org/abs/1506.06890 arxiv:1506.06890]
* [[TJ-II:Magnetics|Magnetics]]
* B.Ph. van Milligen, E. Sánchez, A. Alonso, M.A. Pedrosa, C. Hidalgo, A. Martín de Aguilera, A. López Fraguas, ''The use of the Biorthogonal Decomposition for the identification of zonal flows at TJ-II'', [[doi:10.1088/0741-3335/57/2/025005|Plasma Phys. Control. Fusion '''57''', 2 (2015) 025005]], [https://arxiv.org/abs/1408.1845 arxiv:1408.1845]
* [[TJ-II:Langmuir Probes|Langmuir Probes]]
* B.Ph. van Milligen, P.D. Bons, ''Simplified numerical model for clarifying scaling behavior in the intermediate dispersion regime in homogeneous porous media'', [[doi:10.1016/j.cpc.2014.09.006|Comput. Phys. Commun. '''185''' (2014) 3291]], [https://arxiv.org/abs/1409.2724 arxiv:1409.2724]
* [[TJ-II:Helium Beam|Helium Beam]]
* B.Ph. van Milligen, G. Birkenmeier, M. Ramisch, T. Estrada, C. Hidalgo and A. Alonso, ''Causality detection and turbulence in fusion plasmas'', [[doi:10.1088/0029-5515/54/2/023011|Nucl. Fusion '''54''' (2014), 023011]], [https://arxiv.org/abs/1309.7769 arxiv:1309.7769]
|
* B.Ph. van Milligen et al, ''Parallel and perpendicular turbulence correlation length in the TJ-II Stellarator'', [[doi:10.1088/0029-5515/53/9/093025|Nucl. Fusion '''53''' (2013) 093025]], [https://arxiv.org/abs/1306.1395 arxiv:1306.1395]
* [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]
* P.D. Bons, B.Ph. van Milligen, P. Blum, ''A general unified expression for solute and heat dispersion in homogeneous porous media'', [[doi:10.1002/wrcr.20488|Water Resour. Res. '''49''' (2013) 1]]
* [[doi: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)]]
* B.Ph. van Milligen et al, ''Spatiotemporal and wavenumber resolved bicoherence at the low to high confinement transition in the TJ-II stellarator'', [[doi:10.1088/0029-5515/53/11/113034|Nucl. Fusion '''53''' (2013) 113034]], [https://arxiv.org/abs/1211.0420 arxiv:1211.0420]
|- valign="top"
* B. Ph. van Milligen, R. Sánchez and C. Hidalgo, ''Relevance of Uncorrelated Lorentzian Pulses for the Interpretation of Turbulence in the Edge of Magnetically Confined Toroidal Plasmas'', [[doi:10.1103/PhysRevLett.109.105001|Phys. Rev. Lett. '''109''' (2012) 105001]], [https://arxiv.org/abs/1204.6185 arxiv:1204.6185]
| [[Magnetic island]]s
* B.Ph. van Milligen, P.D. Bons, ''Analytical model for tracer dispersion in porous media'', [[doi:10.1103/PhysRevE.85.011306|Phys. Rev. E 85 (2012) 011306]], [https://arxiv.org/abs/1111.6512 arxiv:1111.6512]
|
* B.Ph. van Milligen, L. García, B.A. Carreras, M.A. Pedrosa, C. Hidalgo, J.A. Alonso, T. Estrada and E. Ascasíbar, ''MHD mode activity and the velocity shear layer at TJ-II'', [[doi:10.1088/0029-5515/52/1/013006|Nucl. Fusion '''52''' (2012) 013006]]
* [[doi: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]]
* B.Ph. van Milligen, T. Estrada, E. Ascasíbar, et al, ''Integrated data analysis at TJ-II: the density profile'', [[doi:10.1063/1.3608551|Rev. Sci. Instrum. '''82''' (2011) 073503]]
|- valign="top"
* R.S. Wilcox, B.Ph. van Milligen, C. Hidalgo, et al., ''Measurements of bicoherence and long-range correlations during biasing in the HSX stellarator'', [[doi:10.1088/0029-5515/51/8/083048|Nucl. Fusion '''51''' (2011) 083048]]
| Analysis of [[TJ-II:Turbulence|turbulence]] and transport
* B.A. Carreras et al., ''Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer'', [[doi:10.1088/0029-5515/51/5/053022|Nucl. Fusion '''51''' (2011) 053022]]
|
* B.Ph. van Milligen et al, ''A global resonance phenomenon at the TJ-II stellarator'', [[doi:10.1088/0029-5515/51/1/013005|Nucl. Fusion '''51''' (2011) 013005]]
* [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]
* B.Ph. van Milligen et al, ''The dynamics of the formation of the edge particle transport barrier at TJ-II'', [[doi:10.1088/0029-5515/51/11/113002|Nucl. Fusion '''51''' (2011) 113002]]
* [[doi: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]]
 
|- valign="top"
=== 2000-2009 ===
| Non-linear and non-standard [[Data analysis techniques|data analysis techniques]]
* B.Ph. van Milligen, I. Calvo and R. Sánchez, ''Continuous time random walks in finite domains and general boundary conditions: some formal considerations'', [[doi:10.1088/1751-8113/41/21/215004|J. Phys. A: Math. Theor. '''41''' (2008) 215004]]
* [[Bicoherence]]
* B.Ph. van Milligen et al, ''Quantifying profile stiffness'', [http://www.jspf.or.jp/PFR/PFR_articles/pfr2008S1/pfr2008_03-S1070.html Plasma and Fusion Research, '''3''' (2008) S1070]
* Hilbert-Huang transform
* B.Ph. van Milligen et al, ''Bicoherence during confinement transitions in the TJ-II stellarator'', [[doi:10.1088/0029-5515/48/11/115003|Nucl. Fusion '''48''' (2008) 115003]]
* Hurst or rescaled-range analysis, structure functions, etc.
* B.Ph. van Milligen, B.A. Carreras, V.E. Lynch and R. Sánchez, ''Pulse propagation in a simple probabilistic transport model'', [[doi:10.1088/0029-5515/47/3/004|Nucl. Fusion '''47''' (2007) 189]]
|
* 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'', [[doi:10.1088/0143-0807/26/5/023|Eur. J. Phys. '''26''' (2005) 913]]
* [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]
* B.Ph. van Milligen, B.A. Carreras and R. Sánchez, ''The foundations of diffusion revisited'', [[doi:10.1088/0741-3335/47/12B/S56|Plasma Phys. Control. Fusion '''47''' (2005) B743]]
* [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]
* 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'', [[doi:10.1063/1.1884615|Phys. Plasmas '''12''' (2005) 052507]]
* [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]
* B.Ph. van Milligen, R. Sánchez and B.A. Carreras, ''Probabilistic finite-size transport models for fusion: anomalous transport and scaling laws'', [[doi:10.1063/1.1701893|Phys. Plasmas '''11''', 5 (2004) 2272]]
* [[doi: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]]
* B.Ph. van Milligen, B.A. Carreras and R. Sánchez, ''Uphill transport and the probabilistic transport model'', [[doi:10.1063/1.1763915|Phys. Plasmas '''11''', 3787 (2004)]]
* [[doi:10.1088/0029-5515/51/8/083048|R.S. Wicox, B.Ph. van Milligen, C. Hidalgo, et al., ''Measurements of bicoherence and long-range correlations during biasing in the HSX stellarator'', Nucl. Fusion '''51''' (2011) 083048]]
* B.Ph. van Milligen et al, ''Revision of TV Thomson scattering data analysis and detection of profile structure'', [[doi:10.1063/1.1597951|Rev. Sci. Instrum. '''74''' (2003) 3998]]
* [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]
* B.Ph. van Milligen, E. de la Luna, F.L. Tabarés, et al., ''Ballistic transport phenomena in TJ-II'', [[doi:10.1088/0029-5515/42/7/301|Nucl. Fusion '''42''' (2002) 787]]
* [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]
=== 1990 - 1999 ===
|- valign="top"
* B.A. Carreras, B.Ph. van Milligen, et al, ''Experimental evidence of long-range correlation and self-similarity in plasma fluctuations'', [[doi:10.1063/1.873490|Phys. Plasmas '''6''', 5 (1999) 1885]]
| [[TJ-II:Confinement transitions|Confinement transitions]]
* B.Ph. van Milligen et al, ''Statistically robust linear and non-linear wavelet analysis applied to plasma edge turbulence'', [[doi:10.1063/1.1147727|Rev. Sci. Instrum. '''68''' (1997) 967]]
|
* B.Ph. van Milligen, V. Tribaldos, J.A. Jiménez, ''A neural network differential equation and plasma equilibrium solver'', [[doi:10.1103/PhysRevLett.75.3594|Phys. Rev. Lett. '''75''' (1995) 3594]]
* [[doi: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]]
* B.Ph. van Milligen et al, ''Nonlinear phenomena and intermittency in plasma turbulence'', [[doi:10.1103/PhysRevLett.74.395|Phys. Rev. Lett. '''74''', 3 (1995) 395]]
|- valign="top"
* B.Ph. van Milligen et al, ''Wavelet bicoherence: a new turbulence analysis tool'', [[doi:10.1063/1.871199|Phys. Plasmas '''2''', 8 (1995) 3017]]
| [[TJ-II:Tomography|Tomography]] ||
* B.Ph. van Milligen and A. Lopez Fraguas, ''Expansion of vacuum magnetic fields in toroidal harmonics'', [[doi:10.1016/0010-4655(94)90112-0|Comput. Phys. Commun. '''81''', Issues 1-2 (1994) 74-90]]
|- valign="top"
* 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'', [[doi:10.1088/0029-5515/33/8/I03|Nucl. Fusion '''33''' (1993) 1119]]
| Image analysis ||
* B.Ph. van Milligen, N.J. Lopes Cardozo, ''Function Parametrization: a fast inverse mapping method'', [[doi:10.1016/0010-4655(91)90073-T|Comput. Phys. Commun. '''66''' (1991) 243]]
|}
* B.Ph. van Milligen et al., ''Application of Function Parametrization to the analysis of polarimetry and interferometry data in TEXTOR'', [[doi:10.1088/0029-5515/31/2/007|Nucl. Fusion '''31''' (1991) 309]]
* B.Ph. van Milligen, ''Exact relations between multipole moments of the flux and moments of the toroidal current density in tokamaks'', [[doi:10.1088/0029-5515/30/1/012|Nucl. Fusion '''30''' (1990) 157]]