Theory of Electromagnetic Radiation in Nonlocal Metamaterials --- Part Ii: Applications

Mikki, Said

doi:10.2528/pierb20050101

Cited by 12 publications

(35 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The most convenient formalism for working with nonlocal MTMs within the framework of linear response theory (our main scope here) is the frequency-momentum space representation (momentum space for short) [48], [54], [55], [66], [67]. Here, the spacetime fields and currents are transformed into the 4-dimensional Fourier space with Minkoweskian structure given as follows:…”

Section: A Preliminary Considerations: the Theory Of Nonlocal Metamaterialsmentioning

confidence: 99%

“…One of the main advantages of Proca antennas (to be explored later in Sec. V-C) is the ability to exploit nonlocal antenna technology to engi-neer radiation with three independent degrees of polarization instead of two [54], [55], [74], but now while working with a single (Proca) mode instead of the cumbersome excitation of two different L and T modes in order in order to properly combine them as desired.…”

Section: Comparison Between Proca Waves and Conventional Wavesmentioning

confidence: 99%

“…The exact dispersion theory of this case is considerably more complicated and is outside the scope of this paper. Since in most practical applications dissipation is treated as a perturbation added to the exact lossless case [49], [54], [55], [67], the basic theory of massive electromagnetism with pure real or imaginary photon mass outlined above should be adequate as an initial theory of Proca MTMs.…”

Section: Metamaterials Design and Applications To Proca Antennas A General Considerations For The Design Of Proca Metamaterialsmentioning

confidence: 99%

“…We start from the observation that the nonlocal L profile (31) has only a quadratic term in k. This is an example of what is called non-resonant type nonlocal MTM [49], [54]. In general, it is known that nonlocal MTMs of this genre contain higher-order terms in k. Practically speaking, as k increases, one must include higher powers in k to correctly model the physics of interactions at multiple spatial scales [48], [51].…”

Section: B Basic Materials Design Examplesmentioning

confidence: 99%

“…The presentation is restricted to classical fields, while the subject of quantum Proca antennas will be addressed in a separate paper. For complete details on the background of nonlocal antenna theory, see [54], [55], [74].…”

Section: Applications: Classical Proca Antennasmentioning

confidence: 99%

See 4 more Smart Citations

Proca Metamaterials, Massive Electromagnetism, and Nonlocality

Mikki¹

2021

Preprint

Self Cite

View full text Add to dashboard Cite

We investigate a new type of electromagnetic meta-materials (MTMs), which we dub Proca MTMs, constituting an interesting medium behaving like a “relativistic material” for potential use in electromagnetic applications. It is rigorously proved using a field-theoretic approach that Maxwell theory inside certain classes of nonlocal metamaterials is equivalent to Maxwell-Proca theory in vacuum, where in the latter photons acquire a nonzero mass (massive electromagnetism.) It turns out that the key to the operation of Proca MTM is nonlocality (here spatial dispersion since the Proca MTM is homogeneous), and hence Proca MTMs represent an important example of the more general family of nonlocal MTMs. Our analysis involves multiphysics aspects, utilizing concepts and methods taken from classical electromagnetism, special relativity, quantum theory, electromagnetic materials, and antenna theory. Extensive discussion of the physics, computational methods, and design parameters of Proca MTMs is provided to further understand the nature of massive electromagnetism in nonlocal MTMs. Proca waves carry an additional polarization degree of freedom and each wave appears to behave like a single mode with two transverse components and one longitudinal. This opens the door for applications in wireless communications and other fields where information could be encoded in polarization. As a concrete application, we develop the main ingredients of Proca antennas as an example of the emerging technology of nonlocal antennas, where we establish that a single Proca dipole possesses a perfect isotropic radiation pattern, a radical departure from conventional local antennas (radiators in vacuum and temporally dispersive media) where such radiation characteristics is impossible. Moreover, the new connection between electromagnetic theory in some nonlocal MTMs and Maxwell-Proca theory allows the use of relativistic techniques developed in the latter in order to efficiently perform calculations like field quantization in nonlocal domains which would be very difficult to perform otherwise.

show abstract

Section: A Preliminary Considerations: the Theory Of Nonlocal Metamaterialsmentioning

confidence: 99%

Section: Comparison Between Proca Waves and Conventional Wavesmentioning

confidence: 99%

Section: Metamaterials Design and Applications To Proca Antennas A General Considerations For The Design Of Proca Metamaterialsmentioning

confidence: 99%

Section: B Basic Materials Design Examplesmentioning

confidence: 99%

Section: Applications: Classical Proca Antennasmentioning

confidence: 99%

See 3 more Smart Citations

Proca Metamaterials, Massive Electromagnetism, and Nonlocality

Mikki¹

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

Proca Metamaterials, Massive Electromagnetism, and Spatial Dispersion

Mikki

2021

Annalen der Physik

Self Cite

View full text Add to dashboard Cite

A class of electromagnetic metamaterials (MTMs) is investigated, which the author dubs Proca MTMs, constituting a medium behaving like a “relativistic material” for potential use in electromagnetic applications. This work is motivated by numerous previous results on particular structures such as plasma, waveguides, photonic crystals, magnetic materials, where it has been observed that photons may acquire mass in some dispersive domains. In this approach, it is rigorously proved using a field‐theoretic approach that Maxwell theory inside certain classes of nonlocal (spatially‐dispersive) metamaterials is equivalent to Proca theory in vacuum, where in the latter photons acquire a nonzero mass (massive electromagnetism.) An explicit closed‐form general expression for the Proca MTM dielectric function is given. It turns out that the key to the operation of Proca MTM is spatial dispersion, and hence Proca MTMs represent an important example of the more general family of nonlocal MTMs. The author's analysis involves multiphysics aspects, utilizing concepts and methods taken from classical electromagnetism, special relativity, quantum theory, electromagnetic materials, and antenna theory. Extensive discussion of the physics, computational methods, and design parameters of Proca MTMs is provided to further understand the nature of massive electromagnetism in nonlocal (spatially‐dispersive) MTMs. As a concrete application, the main ingredients of Proca antennas are developed as an example of the emerging technology of nonlocal antennas, where the author establishes that a single Proca dipole possesses a perfect isotropic radiation pattern, a noteworthy departure from conventional local antennas (radiators in vacuum and temporally dispersive media) where such radiation characteristics is impossible.

show abstract

Directive properties of radiating source systems in massive electromagnetism

Mikki

2022

Results in Physics

View full text Add to dashboard Cite

Theory of Electromagnetic Radiation in Nonlocal Metamaterials --- Part Ii: Applications

Cited by 12 publications

References 11 publications

Proca Metamaterials, Massive Electromagnetism, and Nonlocality

Proca Metamaterials, Massive Electromagnetism, and Nonlocality

Proca Metamaterials, Massive Electromagnetism, and Spatial Dispersion

Directive properties of radiating source systems in massive electromagnetism

Contact Info

Product

Resources

About