Physikalisch-Technische Bundesanstalt

J. Löber, M. Bär and H. Engel (2012). Front propagation in one-dimensional spatially periodic bistable media. Phys. Rev. E86, 066210.

M.-A. Henn, S. Heidenreich, H. Gross, A. Rathsfeld, F. Scholze and M. Bär (2012). Improved grating reconstruction by determination of line roughness in extreme ultraviolet scatterometry. Opt. Lett. 37, 5229-5231.

H. Gross, M.-A. Henn, S. Heidenreich, A. Rathsfeld and M. Bär (2012). Modeling of line roughness and its impact on the diffraction intensities and the reconstructed critical dimensions in scatterometry. Appl. Opt. 51, 7384-7394. 

F. Wiekhorst, W. Haberkorn, U. Steinhoff, S. Lyer, C. Alexiou, M. Bär and L. Trahms (2012). Principal moments of a multipole expansion to quantify the magnetic nanoparticle distributions in arteries. Biomed. Tech. 57 (Suppl. 1), 751 – 754.

J. Starruß, F. Peruani, V. Jakovljevic, L. Sogaard-Andersen, A. Deutsch and M. Bär (2012). Pattern-formation mechanisms in motility mutants of Myxococcus xanthus. Interface Focus 2. DOI: 10.1098/rsfs.2012.0034.

B. Bodermann, P. E. Hansen, S. Burger, M.-A. Henn, H. Gross, M. Bär, F. Scholze, J. Endres, and M. Wurm (2012). First steps towards a scatterometry reference standard. SPIE Proc. 8466, 84660E.

M. Bär, E. Schöll and A. Torcini (2012). Synchronization and complex dynamics of oscillators with delayed pulse-coupling. Angew. Chem. Int. Ed. 51, 9489-9490. DOI: 10.1002/anie.201205214.

H. H. Wensink, J. Dunkel, S. Heidenreich, K. Drescher, R. E. Goldstein, H. Löwen and J. M. Yeomans (2012). Meso-scale turbulence in living fluids. Proc. Natl. Acad. Sci. USA 109, 14308-14313. DOI: 10.1073/pnas.1202032109.

S. Alonso, M. Bär and A. V. Panfilov (2012). Negative tension of scroll wave filaments and turbulence in three-dimensional excitable media and application in cardiac dynamics. Bull. Math. Biol., DOI:10.1007/s11538-012-9748-7. 

F. Pavese, M. Bär, J.-R. Filtz, A. B. Forbes, L. Pendrill and K. Shirono (Editors) (2012). "Advanced Mathematical & Computational Tools in Metrology and Testing IX" , Series on Advances in Mathematics for Applied Sciences vol. 84, World Scientific, New Jersey.

M.-A. Henn, H. Gross, F. Scholze, M. Wurm, C. Elster and M. Bär (2012). A maximum likelihood approach to the inverse problem of scatterometry. Opt. Express, 20, 12771-12786. [download pdf (1006 kB)]

P.  Romanczuk, M. Bär, W. Ebeling, B. Lindner, and L. Schimansky-Geier (2012). Active brownian particles: From individual to collective stochastic dynamics. Eur. Phys. J. – Special Topics 202, 1.

F. Peruani,  J.  Starruß, V. Jakovljevic, L. Søgaard-Andersen, A.  Deutsch, and M. Bär (2012). Collective motion and nonequilibrium cluster formation in colonies of gliding bacteria. Phys. Rev. Lett. 108, 098102.

B.Bodermann, F. Scholze, J. Flügge, H. Gross and H. Bosse (2012). Nanometrology at PTB in support of process control of nanoscale features in semiconductor manufacturing. Int. J. Nanomanufacturing 8, 4.

R. Model, S. Schmelter, G. Lindner and M. Bär (2012). Numerical simulations and turbulent modelling for application in flow metrology, in "Advanced Mathematical & Computational Tools in Metrology and Testing IX" , Series on Advances in Mathematics for Applied Sciences vol. 84, eds. F. Pavese, M. Bär, J.-R. Filtz, A. B. Forbes, L. Pendrill and K. Shirono. World Scientific, New Jersey.

H. Gross, M.-A. Henn, A. Rathsfeld and M. Bär (2012). Stochastic modeling aspects for an improved solution of the inverse problem in scatterometry, in "Advanced Mathematical & Computational Tools in Metrology and Testing IX" , Series on Advances in Mathematics for Applied Sciences vol. 84, eds. F. Pavese, M. Bär, J.-R. Filtz, A. B. Forbes and L. Pendrill, K. Shirono. World Scientific, New Jersey.

B. Bodermann, E. Buhr, H.-U. Danzebrink, M. Bär, F. Scholze, M. Krumrey, M. Wurm, P. Klapetek, P.-E. Hansen, V. Korpelainen, M. van Veghel, A. Yacoot, S. Siitonen, O. El Gawhary, S. Burger, T. Saastamoinen (2011). Joint Research on Scatterometry and AFM Wafer Metrology.  AIP Conf. Proc. 1395, 319.

D. Kupitz, S. Alonso, M. Bär and M. J. B. Hauser (2011). Surfactant-induced gradients in the three-dimensional Belousov-Zhabotinsky reaction. Phys. Rev. E 84, 056210.

F. Peruani, F. Ginelli, M. Bär and H. Chate (2011). Polar vs. apolar alignment in systems of polar self-propelled particles. J. Phys.: Conf. Ser. 297, 012014.

M.-A. Henn, H. Gross, F. Scholze, C. Elster and M. Bär (2011). Improved geometry reconstruction and uncertainty evaluation for extreme ultraviolet (EUV) scatterometry based on maximum likelihood estimation. Proc. SPIE 80830N.

S. Schmelter, G. Lindner, G. Wendt and R. Model (2011). Numerical investigation of turbulent natural convection in differentially heated square cavity. AIP Conf. Proc., 1389,106-109.

B. Bodermann, J. Flügge, H. Gross, A. Kato and F. Scholze (2011). Charakterisierung von Nanostrukturen aund Substraten der Halbleiterindustrie. PTB-Mitteilungen 121 (2), 152.

B. Echebarria, G. Röder, H. Engel, J. Davidsen and M. Bär (2011).  Supernormal conduction in cardiac tissue promotes concordant alternans and action potential bunching. Phys. Rev. E 83, 040902.

S. Alonso, M. Bär and A. V. Panfilov (2011). Effects of reduced discrete coupling on filament tension in excitable media. Chaos 21, 013118.

S. Alonso, K. John and M. Bär (2011). Complex wave patterns in an effective reaction-diffusion model for chemical reactions in microemulsions. J. Chem. Phys. 134, 094117. Selected for March 2011 issue of Virtual Journal of Nanoscale Science & Technology .

H. Förster, W. Günther, G. Lindner and R. Model (2011). Untersuchung zur Explosionsgefahr beim Umschlagen von Kerosin. Technische Sicherheit 1-2, 18.

S. Alonso, U. Dietrich, C. Händel, J. A. Käs and M. Bär (2011). Oscillations in the lateral pressure of lipid monolayers induced by nonlinear chemical dynamics of the second messengers MARCKS and protein kinase C. Biophys. J. 100, 939.

M. Radszuweit, H. Engel and M. Bär (2010). A model for oscillations and pattern formation in protoplasmic droplets of Physarum polycephalum. Eur. Phys. J. – Special Topics 191, 159.

F. Peruani, L. Schimansky-Geier and M. Bär (2010). Cluster dynamics and cluster-size distributions in systems of self-propelled particles. Eur. Phys. J. – Special Topics 191, 173.

S. Alonso, H.-Y. Chen, M. Bär and A. S. Mikhailov (2010). Self-organization processes at active interfaces (Mini-Review). Eur. Phys. J. – Special Topics 191, 131.

H. Groß, J. Richter, A. Rathsfeld and M. Bär (2010). Investigations of a robust profile model for  the reconstruction of 2D periodic absorber lines in scatterometry. Journal of the European Optical Society – Rapid Publications 5, 10053.

S. Alonso and M. Bär (2010).  Phase separation and bistability in a three-dimensional model for protein domain formation at biomembranes. Phys. Biol. 7, 046012.

S. Alonso, J. Löber, M. Bär and H. Engel (2010). Wave propagation in heterogeneous bistable and excitable media. Eur. Phys. J. – Special Topics 187, 31.

F. Ginelli, F. Peruani, M. Bär and H. Chaté (2010). Large-scale collective properties of self-propelled rods. Phys. Rev. Lett.   104, 18, 184502.

M.-A. Henn, C. Mehl and C. Trunk (2010). Hyponormal and strongly hyponormal matrices in inner product spaces. Linear Algebra and its Applications , 433, 6, 1055 – 1076.

F. Kohl, G. Wübbeler, D. Kolossa, M. Bär, R. Orglmeister and C. Elster (2010). Shifted factor analysis for the separation of evoked dependent  MEG signals. Phys. Med. Biol. 55, 15, 4219-4230.

G. Lindner, D. Markus and R. Model (2010). Non-reactive free jet flow: Comparison of simulations using different turbulence models with reference measurements. Proc. 5th Europ. Conf. on Comp. Fluid Dynamics ,  ID 01548.

S. Fruhner, H. Engel and M. Bär (2010). Modelling the influence of cardiac motion on electrical excitation and the magnetocardiogram. Computers in Cardiology 37, 867.

R. Weber dos Santos,  A. Nygren, F. Otaviano, H. Koch and W. Giles (2009). Experimental and theoretical ventricular  electrograms and their relation to electrophysiological gradients in the adult rat heart. Am. J. Physiol.: Heart Circ. Physiol. 297, 4, H1521-1534.

H. Groß, A. Rathsfeld, F. Scholze and M. Bär (2009). Profile reconstruction in extreme ultraviolet (EUV) scatterometry: modeling and uncertainty estimates. Meas. Sci.  Technol. 20, 105102 - 105112.

 F. Wiekhorst, D. Baumgarten, W. Haberkorn, U. Steinhoff,  J. Haueisen,  M. Bär and L. Trahms (2009).  A physical phantom modeling extended magnetic nanoparticle distributions in biological systems. World Congress on Medical Physics and Biomedical Engineering ; IFMBE Proc. 25, 293 – 296.

S. Alonso, M. Bär and R. Kapral (2009). Effective medium approach for heterogeneous reaction-diffusion media. J. Chem. Phys. 131 , 21, 214102.

S. Alonso and F. Sagués (2009).  Noise-rereversed stability pf Turing patterns versus Hopf oscillations near cosimension-two conditions. Phys. Rev.  E 80, 035203.       

S. Alonso, R. Kapral and M. Bär (2009).   Effective medium theory for reaction rates and diffusion constants in heterogeneous systems. Phys. Rev. Lett. 102, 238302. 

F. Pavese, M. Bär, A. B. Forbes, J. M. Linares, C. Perruchet and N. F. Zhang (Editors) (2009). A dvanced mathematical and computational tools in metrology and testing VIII , World Scientific, Singapore.

S. Alonso and A. S. Mikhailov (2009). Towards active microfluidics: Interface turbulence in thin liquid films with floating molecular machines. Phys. Rev. E 79, 061906.

T. Teramoto, X. Yuan, M. Bär and Y. Nishiura (2009). Onset of unidirectional pulse propagation in an excitable medium with asymmetric heterogeneity . Phys. Rev. E 79, 046205.
 
H. Groß, A. Rathsfeld, F. Scholze and M. Bär (2009).  Evaluation of measurement uncertainties in EUV Scatterometry. Proc. SPIE  7390 , 73900T.

M. A. Henn, R. Model, M. Bär, M. Wurm, B. Bodermann, A. Rathsfeld and H. Groß (2009). On numerical reconstruction of lithographic masks in DUV scatterometry. Proc. SPIE  7390 , 73900Q.

P. Bodega, S. Alonso and H. H. Rotermund (2009).  Effects of external global noise on the catalytic CO oxidation on Pt(110). J. Chem. Phys. 130, 084704.

F. Wiekhorst,  U. Steinhoff,   W. Haberkorn, G. Lindner,  M. Bär and L. Trahms (2008).  Localization of a magnetic nanoparticle spot from features of the magnetic field pattern and comparison to a magnetic dipole fit. IFMBE Proc. 22, 2347 - 2351.

S. Bauer, S. Fruhner, I. Romero, H. Engel and M. Bär (2008). Propagation of electrical excitation in isolated rabbit hearts: Influence of stimulation protocol and spatial coupling. Computers in Cardiology 35, 299.

R. Model, A. Rathsfeld, H. Groß, M. Wurm and B. Bodermann (2008). A scatterometry inverse problem in optical mask technology. J. Phys. 135,  012071 [Download pdf ( 818 kB)] .

H. Groß and A. Rathsfeld (2008).  Sensitivity Analysis for Indirect Measurement in Scatterometry and the Reconstruction of Periodic Grating Structures.  Waves in Random and Complex Media, 18, 129-140.

R. Model, A. Rathsfeld, H. Groß, M. Wurm and B. Bodermann (2008). A scatterometry inverse problem in optical mask technology. Paper No. 77, in Proceedings of  ICIPE 2008 - International Conference on Inverse Problems in Engineering.

F. Peruani, A. Deutsch and M. Bär (2008). A mean-field description for self-propelled particles interacting by velocity alignment mechanisms. Eur. Phys. J. – Special Topics 157, 111.

C. Luengviriya, U. Storb, G. Lindner, S. C. Müller , M. Bär and M. J. B. Hauser (2008). Instabilities of scroll waves in a chemical excitable medium. Phys. Rev. Lett. 100, 148302. 

S. Alonso and A. V. Panfilov (2008).  Negative filament tension at high excitability in cardiac tissue. Phys. Rev. Lett. 100,  218101.

H. Groß, A. Rathsfeld, F. Scholze, R. Model and M. Bär (2008). Computational methods estimating uncertainties for profile reconstruction in scatterometry. Proc. SPIE 6995 , 6995OT-1 – 6995OT-9.

H. Groß, R. Model, F. Scholze, M. Wurm, B. Bodermann, M. Bär und A. Rathsfeld (2008). Modellbildung, Bestimmung der Messunsicherheit und Validierung für diskrete inverse Probleme am Beispiel der Scatterometrie. VDI-Berichte 2011 – Sensoren und Messsysteme 2008, ISSN 0083-5560, 337 - 346.

H. Groß and A. Rathsfeld (2007). Mathematical aspects of scatterometry – an optical metrology technique. Intelligent solutions for complex problems – Annual Research Report 2007 , Weierstrass Institute for Applied Analysis and Stochastics, ISSN 1437-7489, 18 –23. [Download pdf (12 MB)]

M. Deo, S. Bauer, G. Plank and E. Vigmond (2007). Reduced-Order Preconditioning for Bidomain Simulations . IEEE Trans. on Biomed. Eng. , 54, 938 - 942 .

Bauer, G. Röder and M. Bär (2007). Alternans and the influence of ionic channel modifications: Cardiac 3D simulations and 1D numerical bifurcation analysis. Chaos 17, 015104.

R. Model, W. Stosch and U. Hammerschmidt (2007). Virtual experiment  design for the transient hot-bridge sensor. Int. J. Thermophys. , DOI 10.1007/s10765-007-0152-8, online first.

M. Wurm, B. Bodermann, R. Model and H. Groß (2007). Numerical analysis of DUV scatterometry on EUV masks. Proc. SPIE 6617, 661716-1 - 661716-12.

H. Groß, A. Rathsfeld, F. Scholze, M. Bär and U. Dersch (2007). Optimal sets of measurement data for profile reconstruction in scatterometry. Proc. SPIE 6617, 66171B-1 - 66171B-12.

R. Weber dos Santos, F. Otaviano Campos, L. Neumann Ciuffo,  A. Nygren, W. Giles and H. Koch (2006).  ATX-II Effects on the Apparent Location of M Cells in a Computational Model of a Human Left Ventricular Wedge. J. Cardiovasc. Electrophysiol. 17, 86–95.

M. Bär, S. Bauer, R. Model and R. Weber dos Santos (2006). Modelling measurement processes in complex systems with partial differential equations: From heat conduction to the heart , in „ Advanced Mathematical and Computational Tools in Metrology VII “ , Series on Advances in Mathematics for Applied Sciences vol. 72, eds. P. Ciarlini,  E. Filipe, A. Forbes, F. Pavese, C. Perruchet, B. Siebert,  1-12, World Scientific Singapore. 

U. Börner, A. Deutsch and M. Bär (2006). A generalized discrete model for rippling patterns in colonies of myxobacteria. Phys. Biol. 3, 138-146.

H. Gross, R. Model, M. Bär, M. Wurm, B. Bodermann and A. Rathsfeld (2006). Mathematical modelling of indirect measurements in periodic diffractive optics and scatterometry. Measurement 39, 782-794.

W. Haberkorn, U. Steinhoff, M. Burghoff, O. Kosch, A. Morguet and H. Koch (2006). Pseudo current density maps of electrophysiological heart, nerve or brain function and their physical basis. BioMag. Res. Technol. 4:5. [Download pdf (2.85 MB)]

U. Hammerschmidt, V. Meier and R. Model (2006). New transient hot bridge sensor to measure the thermal conductivity. Therm. Conduct.  28, 278-287.

U. Hammerschmidt, V. Meier and R. Model (2006). JANUS: High temperature transient hot bridge sensor. Therm. Conduct. 28, 288-297.

R. Model, R. Stosch and U. Hammerschmidt (2006). Improved transient hot strip sensor design by means of FEM simulations. Therm. Conduct. 28, 298-308.

E. Nicola, M. Bär and H. Engel (2006). Wave instability induced by nonlocal spatial coupling in a model of the light-sensitive Belousov-Zhabotinsky reaction. Phys. Rev. E 73, 066225.

F. Peruani, A. Deutsch and M. Bär (2006). Nonequilibrium clustering of self-propelled rods. Phys. Rev. E 74, 030904.

H. Wei, G. Lilienkamp, J. Davidsen, M. Bär and R. Imbihl (2006). Nucleation of spiral wave patterns at defects in surface catalysis. Phys. Rev. E 73, 016210.

H. Gross, V. Hartmann, K. Jousten and G. Lindner (2006). Generic system design for measurement databases - Applied to calibrationsin vacuum metrology, biosignals and a template system, in „ Advanced Mathematical and Computational Tools in Metrology VII “ , Series on Advances in Mathematics for Applied Sciences vol. 72, eds. P. Ciarlini,  E. Filipe, A. Forbes, F. Pavese, C. Perruchet, B. Siebert,  60-72, World Scientific Singapore.

S. Bauer, R. Weber dos Santos, T. R. Schmal, E. Nagel, M. Bär and H. Koch (2005). QRS width and QT time alteration due to geometry change in modelled human cardiac magnetograms. Comput. Cardiol. 32, 639-642.

R. Weber dos Santos and H. Koch (2005). Interpreting biomagnetic fields of planar wave fronts in cardiac muscle. Biophys. J. 88, 3731-3733.

S. Bauer, R.Weber dos Santos, U. Steinhoff, F. Wiekhorst, R. Ackermann, T. Schurig, L. Trahms, M. Bär and H. Koch (2005). Bidomain modeling of electrical activity of the mouse heart supports the design of a specialized magnetocardiographic device. Biomed. Tech. 50,  Suppl. 1, 171-172.

M. Burghoff, A. Link, G. Wübbeler, C. Elster, M. Bär and L. Trahms (2005). Latency adjusted averageing for acoustically evoked brain responses measured by MEG. Biomed. Tech. 50, Suppl. 1, 175-176.

M. Burghoff, B.-M. Mackert and W. Haberkorn (2005). Visualization of action currents propagation in peripheral nerves from the biomagnetic field. Biomed. Tech. 50, Suppl. 1, 179-180.

E. Gargioni and R. Model (2005). A simple method for measuring thoron spatial distributions. Radiat. Prot. Dosim. 113, 3, 321-325.

K. John, M. Bär and U.Thiele (2005). Self-probelled running droplets on solid substrates driven by chemical reactions. Eur. Phys. J. E 18, 183-199.

K. John and M. Bär (2005). Alternative mechanisms of structuring biomembranes: Self-assembly versus self-organization. Phys. Rev. Lett.  95,  198101.

K. John and M. Bär, (2005). Travelling lipid domains in a dynamic model for protein-induced pattern formation in membranes. Phys. Biol. 2,  123-132.

R. Model and U. Hammerschmidt (2005). An identification procedure for thermal transport properties of layered solids by means of transient measurements, in "Thermal Conductivity 26/Thermal Expansion 14", eds. R.B. Dinwiddie, R. Mannello, 346-357, DEStech Publications Lancaster, Pennsylvania.

R. Model (2005). Thermal transport properties of layered materials: Identification by a new numerical algorithm for transient measurements. Int. J. Thermophys. 26, 165-178.

R. Model, R. Stosch and U. Hammerschmidt (2005). The virtual experiment design: Optimizing of the transient hot bridge sensor. Proc. 17th Europ. Conf. on Thermophys. Prop. .

Publikationen 1996-2004