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Constraint algorithm for k-presymplectic Hamiltonian systems. Application to singular field theories
The k-symplectic formulation of field theories is especially simple, since only tangent and cotangent bundles are needed in its description. Its defining elements show a close relationship with those in the symplectic formulation of mechanics. It will be shown that this relationship also stands in the presymplectic case. In a natural way,
one can mimick the presymplectic constraint algorithm to obtain a constraint algorithm
that can be applied to k-presymplectic field theory, and more particularly to the Lagrangian and Hamiltonian formulations of
field theories defined by a singular Lagrangian, as well as to the unified Lagrangian-Hamiltonian formalism (Skinner--Rusk formalism) for k-presymplectic field theory. Two examples of application of the algorithm are also analyzed
Direct and Inverse Computational Methods for Electromagnetic Scattering in Biological Diagnostics
Scattering theory has had a major roll in twentieth century mathematical
physics. Mathematical modeling and algorithms of direct,- and inverse
electromagnetic scattering formulation due to biological tissues are
investigated. The algorithms are used for a model based illustration technique
within the microwave range. A number of methods is given to solve the inverse
electromagnetic scattering problem in which the nonlinear and ill-posed nature
of the problem are acknowledged.Comment: 61 pages, 5 figure
Constraint algorithm for k-presymplectic Hamiltonian systems. Application to singular field theories
The k-symplectic formulation of field theories is especially simple, since
only tangent and cotangent bundles are needed in its description. Its defining
elements show a close relationship with those in the symplectic formulation of
mechanics. It will be shown that this relationship also stands in the
presymplectic case. In a natural way, one can mimick the presymplectic
constraint algorithm to obtain a constraint algorithm that can be applied to
-presymplectic field theory, and more particularly to the Lagrangian and
Hamiltonian formulations of field theories defined by a singular Lagrangian, as
well as to the unified Lagrangian-Hamiltonian formalism (Skinner--Rusk
formalism) for k-presymplectic field theory. Two examples of application of the
algorithm are also analyzed.Comment: 22 p
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