Формулы электродинамики для сред с отрицательной диэлектрической проницаемостью

Electrodynamic formulas widely used in the description of objects containing dielectric media give results contrary to physics in the case when the permittivity of the medium takes a negative value. The problem is solved by refined formulas that allow calculating the electric potentials of the point charge and the point dipole moment, the capacitance of the capacitor, as well as the energy density of the electromagnetic field and the quality factor of the material. The formulas are valid for any media, both with positive and negative real part of the complex permittivity.Формулы электродинамики, широко используемые при описании объектов, содержащих диэлектрические среды, дают противоречащие физике результаты в случае, когда диэлектрическая проницаемость среды принимает отрицательное значение. Проблему снимают уточненные формулы, позволяющие рассчитывать электрические потенциалы точечного заряда и точечного дипольного момента, емкость конденсатора, а также плотность энергии электромагнитного поля и добротность материала. Формулы справедливы для любых сред как с положительной, так и с отрицательной действительной частью комплексной диэлектрической проницаемости

Electrodynamic Formulas for Media with Negative Permittivity

Поступила: 02.10.2023. Принята в печать: 10.11.2023.Публикуется в порядке обсуждения.Received: 02.10.2023. Accepted: 10.11.2023.Published in order of discussion.Формулы электродинамики, широко используемые при описании объектов, содержащих диэлектрические среды, дают противоречащие физике результаты в случае, когда диэлектрическая проницаемость среды принимает отрицательное значение. Проблему снимают уточненные формулы, позволяющие рассчитывать электрические потенциалы точечного заряда и точечного дипольного момента, емкость конденсатора, а также плотность энергии электромагнитного поля и добротность материала. Формулы справедливы для любых сред как с положительной, так и с отрицательной действительной частью комплексной диэлектрической проницаемости.Electrodynamic formulas widely used in the description of objects containing dielectric media give results contrary to physics in the case when the permittivity of the medium takes a negative value. The problem is solved by refined formulas that allow calculating the electric potentials of the point charge and the point dipole moment, the capacitance of the capacitor, as well as the energy density of the electromagnetic field and the quality factor of the material. The formulas are valid for any media, both with positive and negative real part of the complex permittivity.Финансирование работы: работа выполнена в рамках научной тематики Госзадания Института физики им. Л. В. Киренского СО РАН.The investigation was carried out within the state assignment of Kirensky Institute of Physics

Resonances of electromagnetic oscillations in a spherical metal nanoparticle

Текст статьи не публикуется в открытом доступе в соответствии с политикой журнала.Electrodynamic analysis of plasma oscillations in a spherical metal nanoparticle is performed. It is shown that typical reduction in the frequency and quality factor of the resonances with increasing nanoparticle radius fades if the mode number grows. Depending on the particle radius, the resonant enhancement of the electric field might considerably either increase or decrease with increasing mode number

Design of bandpass filters composed of dielectric layers separated by gratings of strip conductors

Текст статьи не публикуется в открытом доступе в соответствии с политикой журнала.We derive the design formulas for novel multilayer bandpass filters in which every dielectric layer (resonator) is separated from the adjacent layer or external medium by a grating of strip conductors. Every grating acts as a semireflecting mirror. Such novel filters have wide stop bands compared to conventional filters with multilayer dielectric mirrors between resonators at the same passband width. The parameters of the lowpass, lumped-element prototype filter, as well as the theory of resonator-coupling coefficients, are considered in our approach. The computed frequency response of the fifth-order Chebyshev filter that was synthesized using the proposed formulas is also presented

Design of bandpass filters composed of dielectric layers separated by gratings of strip conductors

Текст статьи не публикуется в открытом доступе в соответствии с политикой журнала.We derive the design formulas for novel multilayer bandpass filters in which every dielectric layer (resonator) is separated from the adjacent layer or external medium by a grating of strip conductors. Every grating acts as a semireflecting mirror. Such novel filters have wide stop bands compared to conventional filters with multilayer dielectric mirrors between resonators at the same passband width. The parameters of the lowpass, lumped-element prototype filter, as well as the theory of resonator-coupling coefficients, are considered in our approach. The computed frequency response of the fifth-order Chebyshev filter that was synthesized using the proposed formulas is also presented

Study of the fields scattered by a periodic strip structure of thin magnetic films

Текст статьи не публикуется в открытом доступе в соответствии с политикой журнала.Components of the fields scattered by a periodic planar strip structure of thin magnetic films possessing a uniaxial magnetic anisotropy in the plane have been calculated using the phenomenological model. Regularities in the dependence of these fields on the design parameters of the structure have been studied. The results obtained agree with the numerical analysis of the micromagnetic model of this structure. It has been shown that, near the edges of strips magnetized orthogonally to the major axis, the components of the scattered field can exceed the external magnetizing field by a few orders of magnitude. This fact makes it possible to design highly efficient magnetoresistive elements on the basis of a strip structure of magnetic films and thin semiconductor films