High‐frequency Electrodynamics

Katsenelenbaum, B. Z.

doi:10.1002/3527608168

Cited by 74 publications

(35 citation statements)

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“…(1) (with the appropriate change of its parameters) and the BC from Eq. (2) describe the processes in acoustics [2], electrodynamics [3], plasma [4], scalar field theory [5][6][7][8], superconductivity [9][10][11][12] where the coefficient Λ is called the de Gennes distance [13], and others [14,15]. Nonexhaustive list of the relevant research efforts can be found in Refs.…”

Section: Introductionmentioning

confidence: 99%

Theory of the Robin quantum wall in a linear potential. I. Energy spectrum, polarization and quantum‐information measures

Olendski

2016

Annalen der Physik

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Information-theoretical concepts are employed for the analysis of the interplay between a transverse electric field E applied to a one-dimensional surface and Robin boundary condition (BC), which with the help of the extrapolation length Λ zeroes at the interface a linear combination of the quantum mechanical wave function and its spatial derivative, and its influence on the properties of the structure. For doing this, exact analytical solutions of the corresponding Schrödinger equation are derived and used for calculating energies, dipole moments, position Sx and momentum S k quantum information entropies and their Fisher information Ix and I k and Onicescu information energies Ox and O k counterparts. It is shown that the weak (strong) electric field changes the Robin wall into the Dirichlet, Λ = 0 (Neumann, Λ = ∞), surface. This transformation of the energy spectrum and associated waveforms in the growing field defines an evolution of the quantum-information measures; for example, it is proved that for the Dirichlet and Neumann BCs the position (momentum) quantum information entropy varies as a positive (negative) natural logarithm of the electric intensity what results in their field-independent sum Sx + S k . Analogously, at Λ = 0 and Λ = ∞ the position and momentum Fisher informations (Onicescu energies) depend on the applied voltage as E 2/3 (E 1/3 ) and its inverse, respectively, leading to the field-independent product IxI k (OxO k ). Peculiarities of their transformations at the finite nonzero Λ are discussed and similarities and differences between the three quantum-information measures in the electric field are highlighted with the special attention being paid to the configuration with the negative extrapolation length.

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Section: Introductionmentioning

confidence: 99%

Theory of the Robin quantum wall in a linear potential. I. Energy spectrum, polarization and quantum‐information measures

Olendski

2016

Annalen der Physik

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“…1b), but is still localized near the Brillouin direction. In this case, we assume that for the waveguide with the corrugation described above, the wave beam incident on the wall acquires a phase correction during its reflection [10]:…”

Section: Complement Methodsmentioning

confidence: 99%

Use of Huygens’ principle for analysis and synthesis of the fields in oversized waveguides

Чирков

Денисов

Kulygin

et al. 2006

Radiophys Quantum Electron

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We develop a method based on Huygens' principle for calculation of the traveling-wave field in a cylindrical oversized waveguide with smooth and shallow wall corrugations with allowance for diffraction by the nonsymmetric end of the waveguide. Algorithms for synthesizing the specified field distribution on the surface of such a waveguide are proposed. The performed experiments confirm the adequacy of this approach for calculation of oversized electrodynamic systems.

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“…As an auxiliary "trial" fieldĒ 1 (ω; r; z),H 1 (ω; r; z), by analogy with consideration of the wave excitation by given currents in waveguides (see, e.g., [31]), we take a unit-amplitude plane wave (see Eq. (A1), which propagates towards the partial wave whose amplitude variation in the interval from z n to z n+1 should be determined.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, for the closed surface located inside the layer, Lorentz's theorem [23,31] for the spectral field componentsĒ 1 ,H 1 ,Ē, andH takes the form ds [Ē 1 (ω;r),H(ω;r)] − [Ē(ω;r),H 1 (ω;r)] = 4π c dVj nl (ω;r)Ē(ω;r).…”

Section: Introductionmentioning

confidence: 99%

Using Lorentz’s theorem for studying the propagation wave packets in a nonlinear medium

Fridman

2011

Radiophys Quantum El

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We obtain integral relationships expressing the amplitude of wave-packet field on the output surface of a layer via the field amplitude on the input surface, the field on the side surface of the layer, and the integral of the nonlinear currents inside the layer at the previous times in the spectral and spatiotemporal forms. These relationships allow one to perform studies and develop numerical simulation algorithms of propagation and interaction of wave packets which have wide frequency and angular spectra, including calculations of excitation of evanescent waves in the case of sharp focusing or formation of supernarrow filaments. Using the obtained relationships, we propose an algorithm that employs a simple iteration of the first order and allows one to significantly speed up the calculations. The possibility of using the fast Fourier transform to develop algorithms for numerical simulation of the boundary-value problems of nonlinear optics is demonstrated.

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High‐frequency Electrodynamics

Cited by 74 publications

References 0 publications

Theory of the Robin quantum wall in a linear potential. I. Energy spectrum, polarization and quantum‐information measures

Theory of the Robin quantum wall in a linear potential. I. Energy spectrum, polarization and quantum‐information measures

Use of Huygens’ principle for analysis and synthesis of the fields in oversized waveguides

Using Lorentz’s theorem for studying the propagation wave packets in a nonlinear medium

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