OPTICAL DIAGNOSTICS OF DEFECTS
IN LAMINATED PERIODIC NANOSTRUCTURES

Ksenia Yu. Verevkina

Student, Department of Forensic and Physical Materials Science,

Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Ilya Yu. Verevkin

Postgraduate Student, Department of Mathematical Analysis and Function Theory,

Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Valeriy V. Yatsyshen

Doctor of Sciences (Engineering), Professor,
Department of Forensic Science and Physical Materials Science,

Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Abstract. The purpose of this work is to study the features of the properties of a plane wave incident 
on a layered and periodic medium with an embedded defective layer. The relevance of the study of 
photonic crystals is due to the fact that this area of modern materials science is widely developing in 
the world of science. A confirmation of the large growth in development is the specificity of the versatile 
application and implementation of photonic crystals. For example, it becomes possible to create digital 
computing devices based on photonics. The possibility of creating new types of lasers with the lowest 
lasing threshold, high-efficiency LEDs, optical switches, and light guides is also not ruled out. The 
uniqueness of photonic crystals lies in their structure, the properties of which have a periodic change 
in the refractive index. These crystals, due to their peculiarity, do not transmit light with a wavelength 
comparable to the time of the crystal structure, since they remain transparent for a wide range of 
electrical radiation. Formulas for the energy reflection and transmission coefficients for layered, periodic 
media are derived and calculated. A basic component of a computer program for calculating the reflection 
and transmission coefficients of layered nanostructures has been developed. An analysis was made of 
an interstitial layer, in this case a defect, in a periodic layered structure such as a photonic crystal.

Key words: layered media, plane wave, reflection coefficient, transmission coefficient, nanostructures, defect.

This work is licensed under a Creative Commons Attribution 4.0 International License.

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