Surface and bulk modes of magnetophotonic crystals

Shmat'ko, A. A.; Mizernik, V.N.; Odarenko, E. N.

doi:10.1109/tcset.2018.8336235

Cited by 8 publications

(2 citation statements)

References 10 publications

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“…It should be noted that we have obtained surface wave excitation conditions for the case of normal incidence ( b = 0) of the primary wave on the hyperbolic medium. Th e result is unusual, since in a pu-rely dielectric medium surface wave modes can be excited solely under oblique incidence conditions [40][41][42][43].…”

Section: Analysis Of Resultsmentioning

confidence: 99%

The Narrow-Band Filter Based on a Magnetophotonic Crystal Involving Layers With Hyperbolic Dispersion Laws

Shmat’ko,

Odarenko

2024

Radio phys. radio astron.

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Subject and Purpose. Narrow-band filters are among the basic components of modern communication systems, instruments for spectros- copy, high-sensitivity sensors, etc. Photonic crystal structures open up broad possibilities for creating compact-sized, narrow-band filters in the optical and terahertz ranges. Tuning of spectral characteristics of photonic crystal filters is usually carried out through introduction of certain elements into their structure that are sensitive to external electric and magnetic fields. This work has been aimed at investigating electrodynamic characteristics of one-dimensional magnetophotonic crystals with structural layers characterized by "hyperbolic" disper- sion, and suggesting a multichannel, narrow-band filter on their base. Methods and Methodology. The dispersion equation for excitations in an infinite magnetophotonic crystal has been obtained within the framework of the Floquet-Bloch theory, with the use of fundamental solutions of Hill’s equation. The transfer matrix approach has been used to obtain an analytical expression for the transmission coefficient. Results. The band diagram of the one-dimensional magnetophotonic crystal has been analyzed for the case where one of the layers on the structure’s spatial period is characterized by a hyperbolic dispersion law. The areas of existence of surface wave regimes have been found for such layers for the case of normal incidence of the wave upon the finite-seized magnetophotonic crystal. Frequency dependences of the transmission coefficient are characterized by a set of high-Q resonant peaks relating to Fabry-Perot resonances in a periodic struc- ture of finite length. Conclusions. Application of a finite-seized, one-dimensional magnetophotonic crystal is considered as of a means forachieving mul- tichannel optical filtering and formation of a frequency comb. Expressions for the dispersion equation and transmission coefficient have been obtained within the framework of the Floquet-Bloch theory and with the use of the transfer matrix. The feasibility of surface mode excitation has been shown for gyrotropic layers of the periodic structure characterized by a hyperbolic dispersion law, for the case of nor- mal incidence upon the magnetophotonic crystal. The spectral response of the filter contains narrow-band peaks with a high transmission efficiency. By increasing the number of the structure’s periods it is possible to form a frequency comb, which effect can be useful for appli- cations in metrology and modern optical communication systems.

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Section: Analysis Of Resultsmentioning

confidence: 99%

The Narrow-Band Filter Based on a Magnetophotonic Crystal Involving Layers With Hyperbolic Dispersion Laws

Shmat’ko,

Odarenko

2024

Radio phys. radio astron.

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“…Благодаря этому фотонные кристаллы (ФК) получили широкое применение в различных приложениях современной науки и техники терагерцового, микроволнового и оптического диапазонов. Одним из перспективных направлений применения ФК являются новые электронно-волновые источники колебаний терагерцового диапазона [13][14][15][16][17] с электронной перестройкой частоты на объемных и поверхностных волнах.…”

Section: аналітична теорія хвиль флоке-блоха в гіротропних магнітофотонних кристалахunclassified

Analitical theory Flouqet-Bloch waves for gyrotropic magnetophotonic krystals

2019

Visnyk of V.N. Karazin Kharkiv National University, Series “Radio Physics and Electronics”

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The relevance of the problem considered in the work is determined by the widespread use of magnetophotonic crystals in various devices of the terahertz microwave and optical ranges. The key is the analytical solution of the third boundary value problem for the Hill equation with mixed Cauchy boundary conditions. This approach made it possible to explicitly find new solutions for electromagnetic fields in the crystal layers and dispersion characteristics for TE and TM waves, which is important for the development of new multifunction devices in the terahertz range.. The purpose of the work is to develop an analytical theory of Floquet-Bloch waves for gyrotropic magnetophotonic crystals with a transverse magnetic field. Materials and methods. Magnetophotonic crystals consist of gyrotropic (gyroelectric or gyromagnetic materials) two-layer structures over a period, the parameters of which vary from the magnitude of the applied magnetic field. Analytical methods for solving the Hill equation through fundamental solutions of the third boundary value problem. Results. The fundamental solutions of the Hill equation are determined in an analytical form. Analytical expressions for the dispersion characteristics of TE and TM Floquet-Bloch waves are found. The existence of bulk and surface waves in the transmission zones of a magnetophotonic crystal is established. The existence of an extraordinary surface wave with an atypical field distribution in the crystal layers for positive effective electric or magnetic permeability is shown. Conclusions. The proposed new approach for determining the solutions of the Hill equation based on the fundamental solutions of the third boundary-value problem made it possible to obtain in an analytical form the dispersion characteristics and fields of controlled gyromagnetic magnetophotonic crystals for TE and TM Floquet-Bloch waves. This will make it relatively easy to calculate various devices based on controlled Bragg structures.

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