Journal ArticleDOI
Multipole expansions and plane wave representations of the electromagnetic field
A. J. Devaney,E. Wolf +1 more
Reads0
Chats0
TLDR
In this paper, a new and conceptually simple derivation of the multipole expansion of an electromagnetic field that is generated by a localized, monochromatic charge-current distribution is presented.Abstract:
A new and conceptually simple derivation is presented of the multipole expansion of an electromagnetic field that is generated by a localized, monochromatic charge‐current distribution. The derivation is obtained with the help of a generalized plane wave representation (known also as the angular spectrum representation) of the field. This representation contains both ordinary plane waves, and plane waves that decay exponentially in amplitude as the wave is propagated. The analysis reveals an intimate relationship between the generalized plane wave representation and the multipole expansion of the field and leads to a number of new results. In particular, new expressions are obtained for the electric and magnetic multipole moments in terms of certain components of the spatial Fourier transform of the transverse part of the current distribution. It is shown further that the electromagnetic field at all points outside a sphere that contains the charge‐current distribution is completely specified by the radiation pattern (i.e., by the field in the far zone). Explicit formulas are obtained for all the multipole moments in terms of the radiation pattern.read more
Citations
More filters
Journal ArticleDOI
Optical manipulation of nanoparticles: a review
TL;DR: In this paper, the authors present several theoretical approaches to calculate the optical forces exerted on trapped nanoparticles and compare them with the results of a single-beam optical trap, and a close look into the key experiments to date demonstrates the feasibility of trapping and provides a grasp of the enormous possibilities that remain to be explored.
Book ChapterDOI
Linear Inverse and III-Posed Problems
TL;DR: In this article, the authors considered linear inverse problems that have the following general structure: the first step is the definition of the direct problem, which must be linear, and then the solution of the original direct problem defines a linear mapping L from the space X of all functions characterizing the properties of the physical sample (such as the density function in the case of a vibrating string or the refraction index in a semi-transparent object, etc.) into the space Y of all corresponding measurable quantities, such as sequences of eigenvalues, scattering amplitudes, and so
Journal ArticleDOI
Electrodynamics and ultimate SNR in parallel MR imaging
TL;DR: It is concluded that parallel techniques hold particular promise for human MR imaging at very high field because the transition from optimal to deteriorating performance depends on the electrodynamic characteristics of the detected RF fields.
Journal ArticleDOI
Nonuniqueness in the inverse scattering problem
TL;DR: In this article, it was shown that within the framework of the first Born approximation, the inverse scattering problem does not possess a unique solution and that the data generated by any single such experiment is not sufficient to uniquely specify the scattering potential.
References
More filters
Journal ArticleDOI
Introduction to Fourier Optics
Joseph W. Goodman,Mary E. Cox +1 more
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
Book
Introduction to Fourier optics
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
Book
A Course of Modern Analysis
TL;DR: The volume now gives a somewhat exhaustive account of the various ramifications of the subject, which are set out in an attractive manner and should become indispensable, not only as a textbook for advanced students, but as a work of reference to those whose aim is to extend the knowledge of analysis.