2015/08/31 by Rafael Ferraro, Mauro Nigro
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Action (physics) #Applied mathematics #Born–Infeld model #Classical mechanics #Complex plane #Computer science #Electromagnetic Simulation and Numerical Methods #Field (mathematics) #Geometry #Geophysical and Geoelectrical Methods #High-pressure geophysics and materials #Holomorphic function #Mathematical analysis #Mathematics #Order (exchange) #Physics #Plane (geometry) #Plane wave #Pure mathematics #Quantum mechanics #Space (punctuation) #Symmetry (geometry) #Theoretical physics #Wave equation #hep-th
paper · pdf · doi:10.1007/jhep02(2016)002
published as JHEP 1602:002,2016 · 10 pages; changes in Section VI.B
openalex publication_date 2016/02/01 · arxiv created 2016/02/15 · arxiv updated 2016/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Born-Infeld equation in the plane is usefully captured in complex language. The general exact solution can be written as a combination of holomorphic and anti-holomorphic functions. However, this solution only expresses the potential in an implicit way. We rework the formulation to obtain the complex potential in an explicit way, by means of a perturbative procedure. We take care of the secular behavior common to this kind of approach, by resorting to a symmetry the equation has at the considered order of approximation. We apply the method to build approximated solutions to Born-Infeld electrodynamics. We solve for BI electromagnetic waves traveling in opposite directions. We study the propagation at interfaces, with the aim of searching for effects susceptible to experimental detection. In particular, we show that a reflected wave is produced when a wave is incident on a semi-space containing a magnetostatic field.