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1

New Surface-Plasmon-Polariton-Like Acoustic Surface Waves at the Interface Between Two Semi-Infinite Media

Kiełczyński Piotr

Archives of Acoustics

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2022

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Vol. 47, No. 3

363--371

EN

This paper presents theory of new shear horizontal (SH) acoustic surface waves that propagate along the interface of two semi-infinite elastic half-spaces, one of which is a conventional elastic medium and a second one an elastic metamaterial with a negative and frequency dependent shear elastic compliance. This new surface waves have only one transverse component of mechanical displacement, which has a maximum at the interface and decays exponentially with distance from the interface. Similar features are also shown by the acoustic shear horizontal Maerfeld-Tournois surface waves propagating at the interface of two semi-infinite elastic media due to the piezoelectric effect that should occur in at least one semi-space. The proposed new shear horizontal acoustic surface waves exhibit also strong formal similarities with the electromagnetic surface waves of the surface plasmon polariton (SPP) type, propagating along a metal-dielectric planar interface. In fact, the new shear horizontal elastic surface waves possess a large number of properties that are inherent for the SPP electromagnetic surface waves, such as strong subwavelength concentration of the wave field in the proximity of the guiding interface, low phase and group velocity etc. As a result, the new shear horizontal acoustic surface waves can find applications in sensors with extremely high sensitivity, employed in measurements of various physical parameters, such as viscosity of liquids, as well as in biosensors, chemosensors, or a near field acoustic microscopy (subwavelength imaging) and miniaturized devices of microwave acoustics.

2

Gold nano-elliptic arrays used in plasmonic waveguides in near infrared spectrum

Nurmohammadi T., Yadipour R., Abbasian K.

Optica Applicata

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2018

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Vol. 48, nr 3

489--497

EN

In this paper, we investigated plasmonic waveguides in near infrared spectrum, especially at original (λ = 1310 nm) and also communication bands (λ = 1550 nm) using gold nano-elliptic rings. It is possible to shift localized surface plasmon resonance, by appropriate geometrical properties, to the desired wavelength. Three-dimensional simulations utilizing the finite-difference time-domain algorithm are used to determine the set of geometrical parameters of gold nano-elliptic rings for exciting localized surface plasmon resonance at 1310 and 1550 nm. Employing different configurations of gold nano-elliptic rings chains, waveguides are designed, with–3 dB transmission loss coefficients and group velocities calculations for different modes. In comparison with circular nanorings, elliptic rings showed better characteristics, such as high electric field enhancements and low loss transmission coefficients.

3

Seismic crust structure beneath the Aegean region in southwest Turkey from radial anisotropic inversion of Rayleigh and Love surface waves

Çakır Ö.

Acta Geophysica

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2018

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Vol. 66, no. 6

1303--1340

EN

The Turkish plate is covered by hundreds of accelerometer and broadband seismic stations with less than 50 km inter-station distance providing high-quality earthquake recordings within the last decade. We utilize part of these stations to extract the fundamental mode Rayleigh and Love surface wave phase and group velocity data in the period range 5–20 s to determine the crust structure beneath the Aegean region in southwest Turkey. The observed surface wave signals are interpreted using both single-station and two-station techniques. A tomographic inversion technique is employed to obtain the two-dimensional group velocity maps from the single-station group velocities. One-dimensional velocity–depth profiles under each twodimensional mesh point, which are jointly interpreted to acquire the three-dimensional image of the shear-wave velocities underneath the study area, are attained by utilizing the least-squares inversion technique, which is repeated for both Rayleigh and Love surface waves. The isotropic crust structure cannot jointly invert the observed Rayleigh and Love surface waves where the radial anisotropic crust better describes the observed surface wave data. The intrusive magmatic activity related to the northward subducting African plate under the Turkish plate results the crust structure deformations, which we think, causing the observed radial anisotropy throughout complex pattern of dykes and sills. The magma flow resulting in the mineral alignment within dykes and sills contributes to the observed anisotropy. Due to the existence of dykes, the radial anisotropy in the upper crust is generally negative, i.e., vertically polarized S-waves (Vsv) are faster than horizontally polarized S-waves (Vsh). Due to the existence of sills, the radial anisotropy in the middle-to-lower crust is generally positive, i.e., horizontally polarized S-waves (Vsh) are faster than vertically polarized S-waves (Vsv). Similar radial anisotropic results to those of the single-station analyses are obtained by the two-station analyses utilizing the cross-correlograms. The widespread volcanic and plutonic rocks in the region are consistent with the current seismic interpretations of the crustal deformations.

4

Properties of low frequency TE-electromagnetic wave in ternary plasma photonic crystal

Dehnavi Z. N., Askari H. R., Malekshahi M., Dorranian D.

Optica Applicata

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2017

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Vol. 47, nr 3

457--470

EN

In this study, the oblique incident of the electromagnetic waves with frequencies lower than plasma frequency in one dimensional ternary plasma photonic crystal has been investigated. The unit cell of crystal contains a plasma layer that is embedded in two different dielectric layers. Using the wave equation, Bloch theory, and boundary condition, the dispersion relation, the group velocity and the reflection relation of the structure have been obtained. Numerical results are presented in the form of dispersion curves. The dependence of photonic band gap characteristics on plasma frequency is discussed. One attempt has been made to show how the photonic band gap characteristic of a particular structure changes when the dielectric material of the unit cell is replaced by other dielectric materials or when the incident angle of the electromagnetic wave is changed. Results show that plasma layer characteristics has a significant effect on band gaps and wave propagation characteristics; also the results show that the proposed multi-layered structure can act as a tunable photonic crystal which can be controlled by the external parameters.

5

Phase and group velocities of surface waves in left-handed material waveguide structures

Taya S. A., Elwasife K. Y., Qadoura I. M.

Optica Applicata

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2017

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Vol. 47, nr 2

307--318

EN

We assume a three-layer waveguide structure consisting of a dielectric core layer embedded between two left-handed material claddings. The phase and group velocities of surface waves supported by the waveguide structure are investigated. Many interesting features were observed such as normal dispersion behavior in which the effective index increases with the increase in the propagating wave frequency. The phase velocity shows a strong dependence on the wave frequency and decreases with increasing the frequency. It can be enhanced with the increase in the guiding layer thickness. The group velocity peaks at some value of the normalized frequency and then decays.

6

Analytical and numerical identification of lamb waves modes for hybrid composites

Barski M., Pająk P.

Journal of KONES

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2017

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Vol. 24, No. 1

31--38

EN

The current work is devoted to the problem of analytical and numerical identification of fundamental elastic waves' modes, namely symmetric mode S0 and antisymmetric mode A0, in the case of hybrid composite. The investigated material consists of one layer made of aluminum alloy Pa38 and six layers made of glass fabric/epoxy resin. At the very beginning, the dispersion curves are determined with the use of stiffness matrix method. The calculated values of phase velocities are verified by numerical simulation. The semi – analytical finite element method is applied. Next, the numerical simulations of elastic waves propagation are performed. In the studied model, the plane state of strain is assumed. These simulations are carried out with the use of finite element method. The excitation signal is a sine wave modulated by Hanning window. The simulation is repeated for different excitation frequency. The group velocities of wave modes S0 and A0 are estimated and compared with the analytical results. The evaluation of the group velocities is based on the analysis of the appropriate components of displacement. The two different method are employed, namely: cross – correlation method and envelope extraction by Hilbert transform. Generally, the obtained results are in a good agreement. However, the method based on envelope extraction by Hilbert transform provides better correlation between analytical and numerical results. The significant discrepancy is observed in the case of symmetric mode S0 for relatively high values of frequency. It is caused by the dispersion phenomena. The analytical calculations are performed with the use of SCILAB 5.5.2 free software and the numerical simulations are carried out with the use of finite element system ANSYS 13.0.

7

Dispersion relations for composite structures. Pt. 2, Methods of determining dispersion curves

Barski M., Stawiarski A., Chwał M.

Composites Theory and Practice

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2016

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R. 16, nr 3

147--153

EN

In the first part of the current review, the fundamental assumptions of the theoretical model of elastic waves propagation in multilayered composite material are presented. Next, the equations which describe elastic wave motion in the case of single orthotropic lamina are derived. In the second part of this work, the most commonly used method of determining dispersion curves for multilayered composite material are discussed, namely: the transfer matrix method (TMM), global matrix method (GMM), stiffness matrix method (SMM) and finally the semi-analytical finite element method (SAFE). The first three methods are based on the relationships which are derived in the first part of this review. Moreover, TMM and GMM should be considered numerically unstable in the case of a relatively large product value of wave frequency and the total thickness of the composite plate. However, SMM seems to be unconditionally stable. The last method is based on the finite element approach and it can be used in order to confirm the results obtained using the analytical method. Finally, exemplary dispersion curves are presented. The dispersion curves are determined for the 8-th layer of the composite material, which is made of carbon fiber and epoxy resin. It is assumed that the wave front travels in an arbitrary direction.

PL

W części pierwszej pracy omówiono założenia dotyczące teoretycznego modelu propagacji fal sprężystych w wielowarstwowych materiałach kompozytowych. Następnie wyprowadzono równania opisujące zjawisko propagacji fal sprężystych w pojedynczej warstwie o ortotropowych własnościach mechanicznych. W części drugiej przedstawiono podstawy najczęściej wykorzystywanych metod wyznaczania krzywych dyspersji dla ośrodków wielowarstwowych, a mianowicie: transfer matrix method (TMM), global matrix method (GMM), stiffness matrix method (SMM), a także semi-analytical finite element method (SAFE). Pierwsze trzy podejścia oparte są bezpośrednio na równaniach wyprowadzonych w części pierwszej. Metody TMM oraz GMM uważane są za numerycznie niestabilne w przypadku odpowiednio dużych wartości iloczynu częstotliwości i całkowitej grubości płyty kompozytowej. Natomiast wydaje się, że podejście SMM jest numerycznie bezwarunkowo stabilne. Ostatnia z wymienionych metod oparta jest na metodzie elementów skończonych i można ją efektywnie wykorzystać w celu potwierdzenia wyników otrzymanych przy użyciu poprzednio wymienionych algorytmów. Jako przykład pokazano krzywe dyspersji wyznaczone dla 8-warstwowego materiału kompozytowego wykonanego z włókna węglowego, przy czym założono, że czoło fali porusza się w dowolnie założonym kierunku.

8

Dispersion relations for composite structures. Pt. 1, Basic assumptions and relationships for monoclinic lamina

Barski M., Stawiarski A., Chwał M.

Composites Theory and Practice

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2016

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R. 16, nr 3

125--131

EN

Nowadays, the propagation of elastic waves, particularly Lamb waves, is very often used in detecting damages in different kinds of composite materials. These systems are known as structural health monitoring (SHM). However, the phenomenon of Lamb wave propagation is very complex, especially in the case of thin-walled composite structures. Generally, three types of Lamb waves are observed, namely: longitudinal or pressure waves (L), shear vertical (SV) and shear horizontal (SH). The phase and group velocities of the mentioned waves depend on the thickness of the structure and the frequency of the excited signal. This fact makes proper interpretation of the received dynamic response of the structure difficult or even impossible. Therefore, determining the appropriate dispersion curves for different materials is a very important issue. In the present review, the most commonly used analytical approaches for determining dispersion curves in the case of multilayered composite plates are presented. At the very beginning of this work the solution for single isotropic plates is presented. Next, the fundamental assumptions of the theoretical model, which describe the elastic wave propagation phenomenon in multilayered materials, are discussed. In the first part, the relationships describing the elastic wave propagation for single orthotropic lamina are presented. There are two studied cases: namely when the wave front of the elastic wave travels along the principal directions of the material and when the wave front of the elastic wave travels in any arbitrary direction.

PL

Obecnie zjawisko propagacji fal sprężystszych, a w szczególności fal Lamba jest często wykorzystywane przy projektowaniu różnych systemów wykrywania uszkodzeń w wielowarstwowych materiałach kompozytowych. Systemy te są ogólnie znane pod skrótem SHM (Structural Health Monitoring). Jednakże, zjawisko propagacji fal Lamba w kompozytowych konstrukcjach cienkościennych posiada bardzo skomplikowany charakter. W ogólnym przypadku w zależności od płaszczyzny polaryzacji drgań cząstek rozróżniamy trzy rodzaje fal Lamba, a mianowicie: falę podłużną (L) oraz fale poprzeczne spolaryzowane w kierunku pionowym (SV) oraz poziomym (SH). Dodatkowo, każda z wymienionych fal w zależności od grubości materiału oraz częstotliwości generowanego sygnału posiada odpowiednie mody. Mody te propagują się z różną prędkością zarówno fazową, jak i grupową. Zjawisko to znacznie utrudnia interpretację zarejestrowanej dynamicznej odpowiedzi konstrukcji. W pracy szczegółowo opisano najczęściej wykorzystywane analityczne metody wyznaczania krzywych dyspersji. Na początku przedstawiono rozwiązanie dla jednowarstwowej płyty izotropowej. Następnie omówiono podstawowe założenia teoretycznego modelu propagacji fal sprężystych w materiałach wielowarstwowych. W części pierwszej zaprezentowano równania opisujące zjawisko propagacji fal sprężystych w jednowarstwowych płytach o własnościach ortotropowych. Rozważano dwa przypadki, a mianowicie kiedy czoło fal sprężystych porusza się wzdłuż osi głównych materiału oraz kiedy czoło fali porusza się w dowolnym kierunku.

9

Group and Phase Velocity of Love Waves Propagating in Elastic Functionally Graded Materials

Kiełczyński P., Szalewski M., Balcerzak A., Wieja K.

Archives of Acoustics

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2015

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Vol. 40, No. 2

273--281

EN

This paper presents a theoretical study of the propagation behaviour of surface Love waves in nonhomogeneous functionally graded elastic materials, which is a vital problem in acoustics. The elastic properties (shear modulus) of a semi-infinite elastic half-space vary monotonically with the depth (distance from the surface of the material). Two Love wave waveguide structures are analyzed: 1) a nonhomogeneous elastic surface layer deposited on a homogeneous elastic substrate, and 2) a semi-infinite nonhomogeneous elastic half-space. The Direct Sturm-Liouville Problem that describes the propagation of Love waves in nonhomogeneous elastic functionally graded materials is formulated and solved 1) analytically in the case of the step profile, exponential profile and 1cosh2 type profile, and 2) numerically in the case of the power type profiles (i.e. linear and quadratic), by using two numerical methods: i.e. a) Finite Difference Method, and b) Haskell-Thompson Transfer Matrix Method. The dispersion curves of phase and group velocity of surface Love waves in inhomogeneous elastic graded materials are evaluated. The integral formula for the group velocity of Love waves in nonhomogeneous elastic graded materials has been established. The results obtained in this paper can give a deeper insight into the nature of Love waves propagation in elastic nonhomogeneous functionally graded materials.

10

Compositional arrangement of rod/shell nanoparticles: an approach to provide efficient plasmon waveguides

Ahmadivand A., Golmohammadi S.

Opto-Electronics Review

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2014

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Vol. 22, No. 2

101-108

EN

In this work, we investigated the optical properties of a novel compositional configuration of gold nanorod and silver nanoshell which is embedded in a SiO₂ substance. The proper geometrical sizes for compositional rod/shell arrangement have been obtained based on the position and peak of plasmon resonance at λ~1550 nm. Adjusting the plasmon resonance position at declared spectrum helps us to provide an arrangement which shows high efficiency and minimum losses. The influence of destructive components such as internal damping and scattering on the rod/shell combination is demonstrated by corresponding diagrams. Moreover, we proposed a nano-array based on examined configuration and the quality of light transmission along the array is studied. We figured out and depicted optical properties of the array such as transmission loss factors, group velocities, transmitted power, transmission quality, and two-dimensional snapshots of surface plasmons (Sps) coupling between nanoparticles arrangements under transverse and longitudinal modes excitations. Ultimately, it is shown that the suggested nanostructure based on studied nanoparticles configuration has a potential to utilize in designing nanophotonic devices such as splitters, couplers, and routers. Finite-difference time-domain method (FDTD) as a major simulation model has been employed to study the features of the waveguide.

11

Wykorzystanie sygnału wibroakustycznego w diagnostyce struktur sprężonych

Radkowski S., Szczurowski K.

Eksploatacja i Niezawodność

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2012

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Vol. 14, No. 1

84-91

PL

W pracy przedstawiono zagadnienie oceny stanu technicznego struktury sprężonej ze szczególnym uwypukleniem możliwości wykorzystania efektów modulacji amplitudowej występujących w obserwowanym sygnale wibroakustycznym. Podstawą takiego podejścia jest teza że zmianie rozkładu naprężeń w przekroju poprzecznym struktury sprężonej towarzyszy mierzalna zmiana parametrów sygnału wibroakustycznego.Wynika ona z założenia, że wraz z wywołaniem stanu sprężenia wstępnego w zginanej konstrukcji zachodzi zjawisko dyspersji, a tym samym zmiana parametrów propagacji fali, w szczególności występowanie mierzalnej różnicy wartości prędkości fazowej i grupowej.Analiza relacji między stanem naprężeń a wartościami prędkości fazowej i grupowej stwarza możliwość budowania diagnostycznych modeli odwrotnych i wyznaczania ilościowych zmian takich parametrów stanu technicznego, jak siły sprężające, moduł Younga czy naprężenia panujące w konstrukcji. Praca powstała na podstawie rozprawy doktorskiej autora.

EN

The paper presents the issue of assessment of the technical condition of a prestressed structure while particularly underscoring the possibilities offered by amplitude modulation effects which are found in the observed vibroacoustic signal. The basis for such an approach is the thesis that change of distribution of stress in the cross-section of a prestressed structure is accompanied by a measurable change of the parameters of a vibroacoustic signal.The thesis stems from the assumption that the condition of prestressing of a structure, as it is being bent, is accompanied by the phenomenon of dispersion and hence of the change of wave propagation parameters, especially the occurrence of a measurable difference between the values of phase and group velocities.Analysis of the relations between the state of stress and the values of phase and group velocities creates the possibilities of developing the reverse diagnostic models and determining the quantitative changes of such parameters of technical condition as compressive forces, Young's modul or the stress in the structure. The paper has been developed on the basis of the author's Ph.D. thesis.

12

Surface wave propagation in fiber-reinforced anisotropic elastic layer between liquid saturated porous half space and uniform liquid layer

Samal S., Chattaraj R.

Acta Geophysica

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2011

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Vol. 59, no. 3

470-482

EN

Surface wave propagation in fiber-reinforced anisotropic elastic layer between a liquid saturated porous half space and a uniform liquid layer is considered. Equation of motion and suitable boundary conditions give rise to a dispersion equation in the form of a ninth order determinant. Phase velocity and group velocity of a particular model have been studied.

13

An investigation of the effect of intermediate layer in three-component planar photonic crystal waveguides

Shen H., Tian H., Ji Y.

Optica Applicata

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2009

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Vol. 39, nr 2

295-306

EN

The introduction of a third component into planar photonic crystal waveguides definitely influences the properties of linear defect modes, such as the band diagram, intrinsic loss, group velocity and group velocity dispersion. With the increase of the dielectric constant of the interlayer, the guided modes shift to lower frequencies and the radiative losses decrease in the frequency region of high group velocity of defect mode. The analysis of the sensitivity of a band diagram to the introduction of an interlayer reveals that the wider the planar photonic crystal waveguide and the thicker the slab, the more tolerant the overall structure. When one designs the real planar photonic crystal waveguides, the effect of unintentional intermediate layer on the optical properties of planar photonic crystal waveguides has to be taken into consideration. At the same time, the introduction of an intentional interlayer into macroporous planar photonic crystal waveguides can be utilized to optimize the design.

14

Wykorzystanie światłowodu fotonicznego do budowy czujnika perymetrycznego

Szustakowski M., Grabiec W., Pałka N., Wójcik J.

Elektronika : konstrukcje, technologie, zastosowania

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2007

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Vol. 48, nr 3

15-16

PL

Przedstawiono koncepcję oraz obliczenia numeryczne światłowodu fotonicznego typu holey do lokalizacji miejsca zaburzenia bazującego na różnicy prędkości grupowej modów propagujących się w różnych obszarach włókna. Zaletą światłowodu fotonicznego w stosunku do włókien konwencjonalnych jest możliwość uzyskania większej różnicy prędkości grupowych oraz większa czułość na zaburzenia mikrozgięciowe.

EN

In this paper the conception as well as computational results of photonics crystal fibres for localization sensor are shown. Conception of the sensor based on the group velocity difference of the propagating modes in the different fibre's regions. One of the big advantage of the PCF's is a possibility to obtain bigger group velocity difference as well as higher bending sensitivity in comparison with the conventional fibres.