Superoscillations and leaky spectra

Berry, Michael

doi:10.1088/1751-8121/aaeebb

Cited by 12 publications

(9 citation statements)

References 24 publications

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“…The high-order Fano resonances in such particles are characterized by the high degree of the field localization, that exceeds the diffraction limit both inside the particle and on its surface. The latter is associated with the formation of regions having high values of the local wavenumber vectors by analogy with the superoscillation effects [9,10]. In accordance with this theory, the local wavenumber vector is a local phase gradient, viz.…”

Section: Giant Magnetic Field Generation In Mesoscale Particlesmentioning

confidence: 73%

“…In the authors' opinion, the creation of mesoparticle chains with the required properties using the phase-matching mechanism that relies on the coupling of random quasi-phase-matching with the Mie resonance of the entirely disordered mesostructure is promising [173]. The generation of hot spots, having giant values of the local wavenumber vectors, by use a superoscillation effects [9,10] is extremely promising not only for mesoscale photonics and superresolution imaging, but also for diffractive optics [174], whose research was begun back in 1990 [175].…”

Section: Discussionmentioning

confidence: 99%

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Optical Phenomena in Mesoscale Dielectric Particles

Minin

2021

Photonics

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During the last decade, new unusual physical phenomena have been discovered in studying the optics of dielectric mesoscale particles of an arbitrary three-dimensional shape with the Mie size parameter near 10 (q~10). The paper provides a brief overview of these phenomena from optics to terahertz, plasmonic and acoustic ranges. The different particle configurations (isolated, regular or Janus) are discussed, and the possible applications of such mesoscale structures are briefly reviewed herein in relation to the field enhancement, nanoparticle manipulation and super-resolution imaging. The number of interesting applications indicates the appearance of a new promising scientific direction in optics, terahertz and acoustic ranges, and plasmonics. This paper presents the authors’ approach to these problems.

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Section: Giant Magnetic Field Generation In Mesoscale Particlesmentioning

confidence: 73%

Section: Discussionmentioning

confidence: 99%

Optical Phenomena in Mesoscale Dielectric Particles

Minin

2021

Photonics

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“…Also a promising way from our point of view is the way of creating assembled mesoparticles with the required properties based on phase-matching mechanism that relies on the coupling of random quasi-phase-matching with the Mie resonances of the entire disordered mesostructure [171]. The generation of hot spots, having giant values of the local wavenumber vectors, by use a superoscillation effects [9,10] extremely promising not only for mesoscale photonics and superresolution imaging, but also for diffractive optics [172], whose research was begun back in 1990 [173].…”

Section: Discussionmentioning

confidence: 99%

Optical phenomena in mesoscale dielectric particles

Minin¹,

Minin²

2021

Preprint

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During the last decade, new unusual physical phenomena have been discovered in studying the optics of dielectric mesoscale particles of an arbitrary three-dimensional shape with the Mie size parameter near 10 (q ~ 10). The paper provides a brief overview of these phenomena from optics to terahertz, plasmonic and acoustic ranges. The different particle configurations (isolated, regular or Janus) are discussed, and the possible applications of such mesoscale structures are briefly reviewed herein in relation to the field enhancement, nanoparticle manipulation and super-resolution imaging. The number of interesting applications indicates to a new promising scientific direction emerged in optics, terahertz and acoustic ranges, and plasmonics. In this paper we present the authors' view of these problems.

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“…The above picture leaves no room for the interpretation of the observed precursors as "leaky" super-or suboscillations. 10 Nevertheless, it is a veritable picture that shows how the dispersive propagation through a dielectric slab can "sort out" the various frequencies in accordance with their (local) group velocities.…”

Section: Sommerfeld's Original Formulationmentioning

confidence: 99%

“…By demonstrating that the Sommerfeld precursor carries the same energy as is present in the high-frequency tails of the incident spectrum (once absorption has been accounted for), we have ruled out the possibility of this precursor being a form of leaky superoscillation. 10 A bandlimited light pulse can similarly exhibit high-frequency oscillations at an observation point 𝑧𝑧 = 𝑧𝑧 0 deep inside a dispersive medium. The frequencies of these oscillations, however, do not exceed the highest frequency that is already present within the spectrum of the incident light pulse.…”

Section: Steepest-descent Contours For Integrating Bandlimited Signalsmentioning

confidence: 99%

On the nature of the Sommerfeld–Brillouin forerunners (or precursors)

Jakobsen¹,

Mansuripur²

2019

Quantum Stud.: Math. Found.

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We present a brief overview of Sommerfeld's forerunner signal, which occurs when a monochromatic plane-wave (frequency = ) suddenly arrives, at time = 0 and at normal incidence, at the surface of a dispersive dielectric medium of refractive index ( ). Deep inside the dielectric host at a distance 0 from the surface, no signal arrives until = 0 ⁄ , where is the speed of light in vacuum. Immediately after this point in time, however, a weak but extremely high frequency signal is observed at = 0 . This so-called Sommerfeld forerunner (or precursor) is highly chirped, meaning that its frequency, which is much greater than immediately after = 0 ⁄ , declines rapidly with the passage of time. The incident light with its characteristic frequency eventually arrives at ≅ 0 ⁄ , where is the group velocity of the incident light inside the host medium -it is being assumed here that is outside the anomalous dispersion region of the host. Brillouin has identified a second forerunner that occupies the interval between the end of the Sommerfeld forerunner at ≅ (0) 0 ⁄ and the beginning of the steady signal (i.e., that which has the incident frequency ) at = 0 ⁄ . This second forerunner, which is also weak and chirped, having a frequency that is well below at first, then grows rapidly in time to reach , is commonly referred to as the Brillouin forerunner (or precursor). Given that the incident wave has a sudden start at = 0, its frequency spectrum spans the entire range of frequencies from −∞ to ∞. Consequently, the high-frequency first forerunner cannot be considered a superoscillation, nor can the low-frequency second forerunner be regarded as a suboscillation. The goal of the present paper is to extend the Sommerfeld-Brillouin theory of precursors to bandlimited incident signals, in an effort to determine the conditions under which these precursors would continue to exist, and to answer the question as to whether or not such precursors, upon arising from a bandlimited incident signal, constitute super-or suboscillations.

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Superoscillations and leaky spectra

Cited by 12 publications

References 24 publications

Optical Phenomena in Mesoscale Dielectric Particles

Optical Phenomena in Mesoscale Dielectric Particles

Optical phenomena in mesoscale dielectric particles

On the nature of the Sommerfeld–Brillouin forerunners (or precursors)

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