Recent progress on the unified theory of polarization and coherence for stochastic electromagnetic fields

Unified Field Theory

Canadian Journal of Mathematics ◽

10.4153/cjm-1950-041-3 ◽

1950 ◽

Vol 2 ◽

pp. 427-439 ◽

Cited By ~ 45

Author(s):

Max Wyman

Keyword(s):

Field Theory ◽

Variational Principle ◽

Electromagnetic Fields ◽

Linear Connection ◽

Hamiltonian Function ◽

Unified Theory ◽

Unified Field Theory ◽

Field Equations ◽

Unified Field

Introduction. In a recent unified theory originated by Einstein and Straus [l], the gravitational and electromagnetic fields are represented by a single nonsymmetric tensor gy which is a function of four coordinates xr(r = 1, 2, 3, 4). In addition a non-symmetric linear connection Γjki is assumed for the space and a Hamiltonian function is defined in terms of gij and Γjki. By means of a variational principle in which the gij and Γjki are allowed to vary independently the field equations are obtained and can be written(0.1)(0.2)(0.3)(0.4)

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RECENT PROGRESS IN RECONSTRUCTING QUANTUM STATES OF ELECTROMAGNETIC FIELDS

Modern Physics Letters B ◽

10.1142/s0217984904007001 ◽

2004 ◽

Vol 18 (10) ◽

pp. 393-409 ◽

Cited By ~ 3

Author(s):

ZHI-MING ZHANG

Keyword(s):

Electromagnetic Fields ◽

Recent Progress ◽

Research Field ◽

Quantum States ◽

Experimental Measurements ◽

Modern Physics ◽

Active Research ◽

The One ◽

Multi Mode

The reconstruction of quantum states of electromagnetic fields is an active research field in modern physics. This paper presents a brief review on this issue. Our review includes the theoretical proposals and experimental measurements on the reconstruction of quantum states of traveling fields and cavity fields. For traveling fields and cavity fields, we discuss the one-mode, two-mode, and multi-mode cases, respectively.

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Application of Nonredundant Sampling Representations of Electromagnetic Fields to NF-FF Transformation Techniques

International Journal of Antennas and Propagation ◽

10.1155/2012/319856 ◽

2012 ◽

Vol 2012 ◽

pp. 1-14 ◽

Cited By ~ 52

Author(s):

Ovidio M. Bucci ◽

Claudio Gennarelli

Keyword(s):

Electromagnetic Fields ◽

Experimental Results ◽

Measurement Time ◽

Optimal Sampling ◽

Unified Theory ◽

Transformation Techniques ◽

Rotational Surface ◽

Probe Response ◽

Remarkable Reduction

An overview of the application of the band-limitation properties and nonredundant sampling representations of electromagnetic fields to NF-FF transformations is presented. The progresses achieved by applying them to data acquired on conventional NF scanning surfaces are discussed, outlining the remarkable reduction in the number of needed NF samples and measurement time. An optimal sampling interpolation expansion for reconstructing the probe response on a rotational scanning surface from a non-redundant number of its samples is also discussed. A unified theory of the NF-FF transformations with spiral scannings, which allow a remarkable reduction of the measurement time, is then reviewed by describing a sampling representation of the voltage on a quite arbitrary rotational surface from its nonredundant samples collected on a proper spiral wrapping it. Some numerical and experimental results assessing the effectiveness of the considered NF-FF transformations are shown too.

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Recent progress in the development of a propagator method for electromagnetic fields

2016 IEEE International Symposium on Antennas and Propagation (APSURSI) ◽

10.1109/aps.2016.7696228 ◽

2016 ◽

Cited By ~ 3

Author(s):

Jongchul Shin ◽

Robert Nevels

Keyword(s):

Electromagnetic Fields ◽

Recent Progress ◽

Propagator Method

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Electron-Mirror Microscopic Aspects of Ferroelectric Domains of BaTiO3 And Ca2Sr (C2H5CO2)6

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100069387 ◽

1970 ◽

Vol 28 ◽

pp. 478-479

Author(s):

Teruo Someya ◽

Jinzo Kobayashi

Keyword(s):

Surface Layer ◽

Electric Fields ◽

Quantitative Study ◽

Recent Progress ◽

Ferroelectric Domain ◽

Resolving Power ◽

Surface Pattern ◽

Crystal Surfaces ◽

One Dimensional ◽

Ferroelectric Domains

Recent progress in the electron-mirror microscopy (EMM), e.g., an improvement of its resolving power together with an increase of the magnification makes it useful for investigating the ferroelectric domain physics. English has recently observed the domain texture in the surface layer of BaTiO3. The present authors ) have developed a theory by which one can evaluate small one-dimensional electric fields and/or topographic step heights in the crystal surfaces from their EMM pictures. This theory was applied to a quantitative study of the surface pattern of BaTiO3).

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The Nature of Oxide Surfaces: Topographic and Electronic Structure

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100150666 ◽

1993 ◽

Vol 51 ◽

pp. 966-967

Author(s):

Dawn A. Bonnell ◽

Yong Liang

Keyword(s):

Transition Metal Oxides ◽

Electronic Structures ◽

Recent Progress ◽

Spatial Localization ◽

Level Of Detail ◽

Scanning Tunneling ◽

Oxide Surfaces ◽

Tunneling Microscopy ◽

Considerable Effort ◽

Complete Understanding

Recent progress in the application of scanning tunneling microscopy (STM) and tunneling spectroscopy (STS) to oxide surfaces has allowed issues of image formation mechanism and spatial resolution limitations to be addressed. As the STM analyses of oxide surfaces continues, it is becoming clear that the geometric and electronic structures of these surfaces are intrinsically complex. Since STM requires conductivity, the oxides in question are transition metal oxides that accommodate aliovalent dopants or nonstoichiometry to produce mobile carriers. To date, considerable effort has been directed toward probing the structures and reactivities of ZnO polar and nonpolar surfaces, TiO2 (110) and (001) surfaces and the SrTiO3 (001) surface, with a view towards integrating these results with the vast amount of previous surface analysis (LEED and photoemission) to build a more complete understanding of these surfaces. However, the spatial localization of the STM/STS provides a level of detail that leads to conclusions somewhat different from those made earlier.

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