International Institute of Zakharenko Waves (IIZWs)

There are many projects that can be performed at the International Institute of Zakharenko Waves (IIZWs) by graduate and postgraduate students.

The International Institute of Zakharenko Waves (IIZWs) investigates 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 nondispersive waves both theoretically and experimentally, including different applications of the waves for signal processing (filters, sensors, etc.) and the so-called structural health monitoring. 

The hot project by the IIZWs entitled "The development of instatnt interplanetary communication" is the most important for our civilization because the successful realization of this project will allow us to communicate without any delay with neighbour planets, star systems, and even galaxis. It is necessary here to mention that the time delay for communication with the planet Mars is from 8 to 20 minutes that is actually huge delay.

Several additional M.Sc. projects and Ph.D. projects (theoretical and possibly, experimental) are available below:

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).

REFERENCES:

1)      A.A. Zakharenko. On cubic crystal anisotropy for waves with Rayleigh-wave polarization. Non-destructive Testing and Evaluation21 (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 (4–5) 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 Evaluation20 (4) 237 – 254 (2005).

4)      A.A. Zakharenko. Different dispersive waves of bulk elementary excitations in bulk superfluid helium–II at low temperatures. Inthe 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).