Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2022. №8
ContentsFull text in Russian (pdf)
DOI: https://doi.org/10.30898/1684-1719.2022.8.9
ALGORITHMIC CALCULATION METHOD OF WAVE REFLECTION AND PASSAGE
THROUGH MULTI-LAYER STRUCTURE.
PART.2. INCIDENCE OF WAVE ON THE INCLINED BARRIER
I.V. Antonets1, V.G. Shavrov2, V.I. Shcheglov2
1 Syktyvkar State University, Syktyvkar, Russia
2 Institute of Radio Engineering and Electronics RAS, Moscow, Russia
The paper was received July 5, 2022.
Abstract. On the foundation of calculation matrix algorithm of single-dimension wave reflection and passage through multi-layer structure the task about incidence of wave on the inclined barrier is solved. The barrier is presented in the form of step-structure which is consisted of uniform parts divided by boundaries. As a most parameter which determines the wave properties on the single uniform part it is established the wave number. The inclined barrier corresponds to linear increasing of wave number by step way. It is shown that the reflection coefficient by maxima length of barrier is sufficient small and increases to maxima when the length of barrier goes to zero. In this case the dependence of passing coefficient from the barrier length has mirror-symmetrical character relatively the level of 0,5 relative units. The sum of reflection and passage coefficients in all cases is equal to unit. By the character of reflection coefficient dependence from wave number value it is selected three regions: first – when the dependence is regular without the oscillations; second – when dependence is regular and oscillating; third – when dependence has non-regular oscillating character which approach to chaotic so much the high of step is more. As the parameter which divides the regions it is found two critical values of wave number: first – which correspond to transition from smooth dependence to oscillating; second – which correspond to transition from oscillating dependence to chaotic. It is found that the first critical value of wave number step correspond to equality between middle length of wave and whole length of barrier. The second critical value of wave number step correspond to equality between middle length of wave and length of unit step along the barrier length. Fir the interpretation of observed phenomenon the supposition is voiced about its interference origin. It is investigated the dependencies both critical step wave number values from initial length of barrier. It is shown that both dependencies in the high precision (parts of percent) follow inverse ratio to initial length of barrier and different level of curves is determined by the alignment of barrier length and length of its unit step along the barrier length. The connection between initial barrier length and value of unit step along the barrier length. It is found the invariant which is equal to half of relation of initial barrier length to whole length of structure multiplied to value of wave number step. The reflection and passage of wave by large length of structure is investigated. It is found the periodic character of reflection and passage dependencies from length of barrier. On the dependencies is found the sharp peaks which high is approach to maximum corresponding to zero length of barrier. It is found that the distance between peaks along the barrier length corresponds to inverse ratio to wave number step. It is found that the value of barrier length period which correspond to different peaks to a great extent (about two orders) exceeds the middle wave length which is determined the whole over-fall of wave number in the region of whole barrier. For the interpretation of periodic character these dependencies of reflection and passage coefficients from barrier length the model of successive re-reflections is proposed. It is found that the specific of out-coming from structure waves is achieved by coincidence of doubled barrier length with length of propagating wave.
Key words: propagation of waves, multi-layer structure, coefficients of reflection and passage.
Financing: The work was carried out as part of the state task of the V.A. Kotelnikov Institute of Radio Engineering and Electronics of the Russian Academy of Sciences, partially supported by a grant from RFFI: No. 20-55-53019 GFYeN_a, grants from the RSF: No. 21-72-20048 and No. 21-47-00019 and a grant from the Government of the Komi Republic and RFFI No. 20-42-110004, p _ a.
Corresponding author: Shcheglov Vladimir Ignatyevich, vshcheg@cplire.ru
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For citation:
Antonets I.V., Shavrov V.G., Shcheglov V.I. Algorithmic calculation method of wave reflection and passage through multi-layer structure. Part.2. Incidence of wave on the inclined barrier. Zhurnal radioelektroniki [Journal of Radio Electronics] [online]. 2022. №8. https://doi.org/10.30898/1684-1719.2022.8.9 (In Russian)