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Solving the inverse problem of high numerical aperture focusing using Slepian-type vector fields
High numerical aperture focusing Vector diffraction theory Inverse problem Slepian’s concentration problem
2012/5/29
A technique using vector Slepian harmonics and multipole fields is presented for a general treatment of the inverse problem of high numerical aperture focusing. A prescribed intensity distribution or ...
Locally Homogeneous Spaces, Induced Killing Vector Fields and Applications to Bianchi Prototypes
locally homogeneous spaces Killing equations & vector fields isometric embedding moving frames
2011/7/28
Abstract: An answer to the question: Can, in general, the adoption of a given symmetry induce a further symmetry, which might be hidden at a first level? has been attempted in the context of different...
Particle Production of Vector Fields: Scale Invariance is Attractive
Particle Production Vector Fields Scale Invariance
2010/12/27
In a model of an Abelian vector boson with a Maxwell kinetic term and non-negative mass-squared it is demonstrated that, under fairly general conditions during inflation, a scale-invariant spectrum of...
Green's Function expansion of scalar and vector fields in the presence of a medium
Green's Function expansion scalar and vector fields presence of a medium
2010/11/5
Based on a canonical approach and functional-integration techniques, a series expansion of Green's function of a scalar field, in the presence of a medium, is obtained. A series expansion for Lifshitz...
Killing Vector Fields in Three Dimensions: A Method to Solve Massive Gravity Field Equations
Killing Vector Fields Massive Gravity Field Equations
2010/3/17
Killing vector fields in three dimensions play important role in the construction of the related spacetime geometry. In this work we show that when a three dimensional geometry admits a Killing vector...
Gupta-Bleuler quantization for massive and massless free vector fields
vector fields quantization Gupta-Bleuler
2010/7/8
It is shown that the usual quantum field theory leads to an ultraviolet divergence in the vacuum energies and an infrared divergence in the two-point functions of the massive and massless vector field...