International Institute of Zakharenko Waves (IIZWs)

 

The International Institute of Zakharenko waves (IIZWs) is created for support of different Zakharenko waves, as well as for monitoring the non-dispersive Zakharenko type waves in complex systems such as layered and quantum systems. Indeed, any complex system, where dispersive waves (for example, dispersive Rayleigh and Bleustein-Gulyaev type waves as well as Love and Lamb type waves) can propagate, is of a great interest for the Institute. The Institute will study different dispersive and non-dispersive waves both theoretically and experimentally, including different applications of the waves for signal processing (filters, sensors, etc.) and the so-called structural health monitoring. Therefore, any interest from individuals and Institutions/Organizations is welcomed.

 

 

 

Several hot MS/PhD-projects (theoretical and, possibly, experimental) are available starting in 2007/2008:

1.      Analytical studying the group velocity of Lamb type waves in isotropic and anisotropic non-piezoelectric mono-plates.

2.      Analytical studying the group velocity of the second type of slow surface Zakharenko type waves.

3.      Analytical studying the group velocity of Love waves propagating in layered systems consisting of two layers on a substrate (non-piezoelectric case).

4.      Analytical studying the group velocity of Love waves propagating in layered systems consisting of a piezo-layer on a substrate.

5.      Analytical studying the group velocity of Love waves propagating in layered systems consisting of a layer on a piezo-substrate.

6.      Photonic crystals: analytical studying the group velocity.

7.      Phononic crystals: analytical studying the group velocity.

8.      Further monitoring of existence of the non-dispersive Zakharenko waves in complex layered systems.

9.      Further monitoring of existence of the non-dispersive Zakharenko waves in quantum systems.

10.  Analytical studying the group velocity of dispersive Bleustein-Gulyaev waves propagating in layered systems consisting of a piezo-layer on a substrate.

11.  Analytical studying the group velocity of dispersive Bleustein-Gulyaev waves propagating in layered systems consisting of a layer on a piezo-substrate.

12.  Analytical studying the group velocity of dispersive Rayleigh type waves propagating in layered systems consisting of isotropic layer on isotropic substrate (this is a very complicated case, but an attempt can readily be done).

13.  Analytical studying the group velocity of Lamb type waves in isotropic non-piezoelectric bi-layered plates (this is a very complicated case, but an attempt can readily be done).

 

 

 

Possible additional projects:

1. On anisotropy of non-cubic crystals for new supersonic in-plane surface waves. Here, It was recently found that new supersonic surface waves with in-plane polarization, see the paper [1]. However, such materials must be found or synthesized. There is even a bet such as what will be found first, materials possessing the room temperature superconductivity (RTSC) or the ones possessing the new supersonic surface in-plane wave. Note that looking for the RTSC caused a wide research concerning fabrication of very complex materials and characterization of their structure and physical properties during the last two decades. However, RTCS materials are still not found! For finding the RTSC, trillions US-dollars were spent and over hundred thousands papers were already published, but we have now the same result that was at the starting point two decades ago.

2. Analytical investigation of the group/phase velocity for dispersive waves propagating in an isotropic cylinder covered with isotropic thin film. Here, knowledge of cylindrical functions such as Bessel, Neumann and Hankel functions is welcomed.

3. Slow surface Zakharenko waves (SSZTW7) in piezoelectric layered structures. The SSZtW7-waves (soliton-like phonons for some wavenumbers) can be calculated and shown for several suitable layered systems.

4. Lamb type waves investigations for smart systems.

5. Studying the ultrasonic surface Zakharenko waves (USZWs) in piezoelectric layered systems.

6. The phenomenon called (non-dispersive?) Rydberg quasi-particles: the applicant task will be phenomenon history, Rydberg biography, as well as looking for new ways to better understand/explain the phenomenon. It is noted that because definition of a quasi-particle (atom or electron) requires the dispersion relation with the constant relationship between the phase Vph and group Vg velocities such as Vg=2Vph (that gives the constant value of the Plancks constant for any quasi-particle), but non-dispersive waves require Vg=Vph<>0. Note that the corresponding non-dispersive Zakharenko wave exists in each quantum energy branch. It is also noted that the special case of Vg=Vph=0 is readily identified as the so-called Bose-Einstein condensation and the points of Vg=Vph=0 represent inflection points for both Vph and Vg of dispersive waves. Very small atoms (for instant, hydrogen atoms) can have the electrons moving very quickly, close to the nucleus that can be normally true. And when an electron in an atom is excited with a laser, it can "jump" to very large orbits. Such electrons are called Rydberg electrons, and they are the subject of active research, both experimentally and theoretically.

7. Investigations of Love as well as dispersive Rayleigh and Bleustein-Gulyaev type waves in multi-layered structures, for instants, two layers on a substrate, accounting piezoelectric, piezomagnetic effects; giant piezo- and dielectric effects, etc.

 

 

Recent Publications:

1)      A.A. Zakharenko. On cubic crystal anisotropy for waves with Rayleigh-wave polarization. Non-destructive Testing and Evaluation 21 (2) 61 77 (2006).

2)      A.A. Zakharenko. Love type waves in layered systems consisting of two piezoelectric cubic crystals. Journal of Sound and Vibration, 285 (45) 877 886 (2005).

3)      A.A. Zakharenko. Analytical studying the group velocity of three-partial Love (type) waves in both isotropic and anisotropic media. Non-destructive Testing and Evaluation 20 (4) 237 254 (2005).

4)      A.A. Zakharenko. Different dispersive waves of bulk elementary excitations in bulk superfluid heliumII at low temperatures. In the CD-ROM Proceedings of the Forum Acusticum, Budapest, Hungary (2005) pages L79 L89.

5)      A.A. Zakharenko. Dispersive Rayleigh type waves in layered systems consisting of piezoelectric crystals bismuth silicate and bismuth germanate. Acta Acustica united with Acustica, 91 (4) 708 715 (2005).

 

 

 

Requirements for applicants: good knowledge of a computer language (Fortran, Pascal/Delphi, C++; Matlab/Maple is very useful and preferable). Also, it must be good knowledge of mathematics: matrices, tensors, constitutive equations, equations of motions, eigenvalues and eigenvectors, the Leibnizs formulae for complicated derivatives {d(uv)/dx, d(u/v)/dx, d(u(v(g(x))))/dx, etc.}, etc. Note that both the phase and group velocities are complicated functions. It is obvious that each hot project will allow for a prospective candidate to feel theoretical problems and to use theory for filter and sensor applications (delay lines, chemical and biosensors), as well as there are possibilities to propose new acoustic-wave devices (that is also true for optical devices on different dispersive waves). For instance, for dispersive delay lines, the delay time has an inflexion point that is used. Also, it is already well-known that sensor sensitivity is proportional to the first derivative of the phase velocity Vph, dVph/d(kh) with k and h being the wavenumber and thickness, respectively. Theoretically obtained results can be published in international science Journals. Standard mathematical problem of finding extreme and inflexion points of the phase/group velocity for dispersive waves propagating in layered systems can give information about possible existence of the non-dispersive Zakharenko waves in dispersive-wave modes. Note that such the theoretical investigations were recently carried out for Love waves in Ref. [3] and are very useful to completely understand layered structures. The non-dispersive Zakharenko waves existing in layered [5] and quantum [4] systems mathematically represent extreme points of the phase velocity Vph and split a dispersive mode into several sub-modes. The hot projects represent research which should have already been done in the last century, but they are still not carried out due to significant complexity. The aim of the hot projects is to create solid fundament for further research.

 

 

 

Send Your CV for MS or CV with a Diploma Copy for PhD by E-mail, illuminating a project title written above. Female applicants with good basis in mathematics are also welcomed. Different funding possibilities, for instance, from the DAAD/Others for West European citizens or private sponsorships can be also treated.

 

Contact preferably by E-mail (aazaaz@inbox.ru) to Mr. Aleksey A. Zakharenko, Diploma Engineer-Physicist, IIZWs. Also, applicants from Germany or the other countries where the German language is spoken can contact auf Deutsch.