A program for studying electromagnetic waves on a surface with graphene has been created at Penza State University, which is under the jurisdiction of the Ministry of Science and Higher Education of Russia. This development can be used in innovative devices and instruments for medicine, electronics and telecommunication networks.

Graphene is an ultrathin layer of carbon atoms, only one atom thick. Due to its structure, graphene exhibits unique physical characteristics that are used in various scientific and technical fields.

For example, graphene has high surface conductivity and can absorb light in a wide spectrum: from ultraviolet to mid-infrared. Thanks to these properties, graphene is used to create efficient photodetectors, modulators and other electronic devices. These components are widely used in modern gadgets.

According to Stanislav Tikhov, a postgraduate student at Penza State University, the research group has developed two innovative approaches to creating graphene-based devices. These methods surpass all existing analogues in the world due to a special mathematical modeling technique. This technique can be used to create waveguides.

The process of creating and releasing a device based on, for example, graphene is preceded by a process of mathematical modeling. Because you need to look at and calculate all the risks. Look at the characteristics of the model. Computer simulation helps to avoid inaccuracies and errors in the future device, as well as unjustified financial costs for its production.
 Stanislav Tikhov, chief developer, postgraduate student at PSU

Experts conduct research aimed at studying how electromagnetic waves propagate in a flat layer coated with graphene. In particular, they analyze how the graphene coating affects the properties of various wave-guiding structures.

There are not so many methods in the world for using graphene in mathematical models. They all have their drawbacks. For example, some characteristics, such as the nonlinearity of graphene and the properties of the objects surrounding it, are not taken into account, or the range of electromagnetic radiation is limited.

Specialists from Penza have developed a universal method that can be used to solve any technical problems associated with the creation of electronic devices, gas sensors and solar batteries.

In addition, our method can operate not only with graphene, but also with any other two-dimensional material with properties similar to graphene - molybdenum disulfide, black phosphorus. 
 Stanislav Tikhov, chief developer, postgraduate student at PSU

The mathematical modeling method allows for accurate calculations. PSU proposes to consider the diffraction problem for the two-dimensional Helmholtz equation with nonlinear boundary conditions. It is important to note that there have been no attempts to solve such a problem in world practice. This makes it possible to take into account the behavior of the wave in both the longitudinal and transverse directions for graphene or a graphene coating. Moreover, there are no restrictions on the characteristics of graphene and the objects surrounding it.

Scientists reduce the problem to a hypersingular integral equation. To solve it, they propose an analytical method for processing hypersingular operators.

As a result of complex mathematical calculations, a program was developed at PSU that allows you to quickly and efficiently solve the tasks. With this program, you can choose the most suitable material for solving a specific problem.

The universality of the method used in creating the program makes it applicable in various industries.

Earlier, Russian scientists proposed protecting plastic from the sun with wood lignin. Thanks to the emergence of new materials resistant to ultraviolet radiation, the service life of this equipment can be significantly increased.

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Sources
Kommersant

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