469 citations · 545 across the 11 of their papers we have counts for
11 papers
On the covariant Hamilton-Jacobi formulation of Maxwell's equations via the polysymplectic reduction
Monika E. Pietrzyk, Cécile Barbachoux, Igor V. Kanatchikov +1
The covariant Hamilton-Jacobi formulation of Maxwell's equations is derived from the first-order (Palatini-like) Lagrangian using the analysis of constraints within the De~Donder-W…
On the Covariant Hamilton-Jacobi Equation for the Teleparallel Equivalent of General Relativity
Monika E. Pietrzyk, Cécile Barbachoux
The covariant Hamilton-Jacobi equation for the Teleparallel Equivalent of General Relativity is derived based on the analysis of the second-class constraints within the covariant H…
On the relation between the canonical Hamilton-Jacobi equation and the De Donder-Weyl Hamilton-Jacobi formulation in general relativity
N. Riahi, M. E. Pietrzyk
We discuss the relation between the canonical Hamilton-Jacobi theory and the De Donder-Weyl Hamilton-Jacobi theory known in the calculus of variations using the examples of a scala…
Enhanced nonlinear refractive index in epsilon-near-zero materials
L. Caspani, R. P. M. Kaipurath, M. Clerici +9
New propagation regimes for light arise from the ability to tune the dielectric permittivity to extremely low values. Here we demonstrate a universal approach based on the low line…
Optically induced metal-to-dielectric transition in Epsilon-Near-Zero metamaterials
R. M. Kaipurath, M. Pietrzyk, L. Caspani +6
Epsilon-Near-Zero materials exhibit a transition in the real part of the dielectric permittivity from positive to negative value as a function of wavelength. Here we study metal-di…
Generalized Short Pulse Equation for Propagation of Few-Cycle Pulses in Metamaterials
Monika E. Pietrzyk, Igor V. Kanattsikov
We show that propagation of ultrashort (few-cycle) pulses in nonlinear Drude metamaterials with both electric and magnetic Kerr nonlinearities is described by coupled generalized S…