Preprints

• M.F. Dahl, Characterisation and representation of non-dissipative electromagnetic medium with a double light cone, preprint, additional material.
• I. Bucataru, M.F. Dahl, k-parameter geodesic variations, preprint. Submitted.
• M.F. Dahl, Non-dissipative electromagnetic medium with a double light cone, preprint, additional material. Submitted.
• M.F. Dahl, Determination of electromagnetic medium from the Fresnel surface, preprint, additional material. Submitted.
• M.F. Dahl, Electromagnetic fields from contact- and symplectic geometry, preprint.

To appear

• M.F. Dahl, A restatement of the normal form theorem for area metrics, preprint, additional material, International Journal of Geometric Methods in Modern Physics.

Work in international refereed journals

• I. Bucataru, O. Constantinescu, M.F. Dahl, A geometric setting for systems of ordinary differential equations, International Journal of Geometric Methods in Modern Physics, Vol. 8, Issue 6, pp. 1291-1327, 2011, preprint.
• I. Bucataru, M.F. Dahl, Descending maps between slashed tangent bundles, Publicationes Mathematicae Debrecen, Vol 79, 2011. preprint.
• I. Bucataru and M.F. Dahl, A complete lift for a semi-spray, International Journal of Geometric Methods in Modern Physics, vol. 7, no. 2 (March 2010), preprint.
• I. Bucataru, M.F. Dahl, A geometric space without conjugate points, Balkan Journal of Differential Geometry and Its Applications, Volume 15, no. 1, 17-40, 2010, preprint.
• I. Bucataru, M.F. Dahl, Semi-basic 1-forms and Helmholtz conditions for the inverse problem of the calculus of variations, Journal of Geometric Mechanics, Vol. 1, No. 2, June 2009, pp. 159--180, preprint.
• M.F. Dahl, Geometrization of the leading term in acoustic Gaussian beams, Journal of Nonlinear Mathematical Physics, Vol. 16, Issue 1 (March 2009), pp. 35 - 45, preprint.
• M.F. Dahl, A. Kirpichnikova, M. Lassas, Focusing waves in unknown media by modified time reversal iteration, SIAM Journal on Control and Optimization, vol. 48, issue 2, 839-858, 2009. preprint.
• M.F. Dahl, A geometric interpretation of the complex Riccati equation, Journal of Nonlinear Mathematical Physics, Vol. 14, Issue 1, pp. 95-111, 2007, preprint and additional material
• M. Dahl, Electromagnetic Gaussian beams using Riemann geometry, Progress In Electromagnetics Research, Vol. 60, pp. 265-291, 2006.
• M. Dahl, Contact geometry in electromagnetism, Progress In Electromagnetics Research, Vol. 46, pp. 77-104, 2004.
• I.V. Lindell, F.M. Dahl, Conditions for the parameter dyadics of lossy bi-anisotropic media, Microwave and Optical Technology Letters, Vol. 29, No. 3, pp. 175-178, 2001.

Scientific software

• KappaLib -- A collection of Mathematica routines to manipulate electromagnetic medium tensors.
• CSPlotter -- Visualisation routines for three dimensional contact structures.

Theses

My theses were instructed by Kirsi Peltonen and professor Erkki Somersalo as a second instructor/supervisor.

• Geometric properties of electromagnetic waves, Doctoral thesis, Helsinki University of Technology, 2007.
• Propagation of Gaussian beams using Riemann-Finsler geometry, Licentiate thesis, Helsinki University of Technology, 2006.
• M. Dahl, Contact and symplectic geometry in electromagnetics, Master's thesis, Helsinki University of Technology, 2002.