Ya.I. Chizhevskaya1, S.P. Skobelev2
1,2 PJSC Radiofizika (Moscow, Russia)
1,2 Moscow Institute of Physics and Technology (National Research University) (Dolgoprudny, Russia)
The paper describes a numerical algorithm based on the hybrid projection method for analysis of planar absorbing doubly periodic structures with spherical elements of black hole type arranged on a substrate of finite thickness with a PEC screen. The feature of the algorithm in comparison with the previous works where purely dielectric material was used for spherical elements and substrate is that it takes into account the fact that the elements and substrate are characterized both dielectric permittivity and magnetic permeability. The paper also contains derivation of new expressions for the power absorbed in the elements and substrate used for the subsequent calculation of the absorption efficiency and verification of fulfillment of the power balance relation.
The algorithm has been realized in a MATLAB code whose operation has been validated by means of studying convergence of the results with increasing the number of the retained Floquet modes and the number of the triangle functions used in the realization of the one-dimensional method of finite elements, as well as by means of controlling the accuracy of fulfillment of the power balance relation.
The paper contains a number of new results obtained with use of the code indicated above for the absorption efficiency of the structures with spherical elements. The results show that the magneto-dielectric elements can provide higher absorption efficiency in comparison with the case of using purely dielectric elements.
The results obtained for the absorption efficiency and reflection coefficients of the structures with spherical elements have been compared to the similar characteristics obtained for the structures involving pyramidal elements which are usually used in the design of anechoic chambers. The comparison shows that the structures with spherical elements allow providing performances compatible with the performances of the conventional structures with pyramidal elements but with considerably smaller thickness of the layer containing the absorbing elements.
Chizhevskaya Ya.I., Skobelev S.P. Analysis of planar absorbing periodic structures formed by spherical magneto-dielectric black holes. Radiotekhnika. 2023. V. 87. № 3. P. 40−55. DOI: https://doi.org/10.18127/j00338486-202303-04 (In Russian)
- Narimanov E.E., Kildishev A.V. Optical black hole: Broadband omnidirectional light absorber. Applied Physics Letters. 2009. V. 95. P. 041106.
- Chizhevskaja Ja.I., Smol'nikova O.N., Skobelev S.P. Sravnitel'nyj jelektrodinamicheskij analiz i optimizacija radial'no-neodnorodnyh cilindricheskih pogloshhajushhih jelementov. Radiotehnika. 2018. № 4. S. 23-32 (in Russian).
- Chizhevskaya Ya.I., Skobelev S.P. Comparative features of cylindrical electromagnetic black holes with positive and negative refractive indexes. Proc. 13th European Conf. on Antennas and Propagation: (EuCAP'2019). Krakow, Poland. 31 March - 5 April 2019.
- Maslovski S.I., Simovski C.R., Tretyakov S.A. Overcoming black body radiation limit in free space: metamaterial superemitter. New J. Phys. 2016. V. 18. № 1. P. 013034.
- Chizhevskaya Ya.I. Comparative study of spherical electromagnetic black holes with positive and negative refractive indexes. Int. Conf. Engineering & Telecommunication (En&T). Dolgoprudny, Russia. 25-26 Nov. 2020. DOI: 10.1109/EnT50437/2020. 9431299.
- Chizhevskaja Ja.I., Skobelev S.P. Sravnitel'nyj analiz sfericheskih jelektromagnitnyh chernyh dyr s polozhitel'nym i otricatel'nym pokazateljami prelomlenija. Radiotehnika. 2020. № 4. S. 40-46. DOI: 10.18127/j00338486-202004(7)-05 (in Russian).
- Chizhevskaja Ja.I., Smol'nikova O.N., Skobelev S.P. Analiz pogloshhajushhih periodicheskih struktur, obrazovannyh cilindricheskimi jelektromagnitnymi chernymi dyrami. ZhTF. 2021. T. 91. №2. S. 326-334 (in Russian).
- Chizhevskaya Ya.I., Skobelev S.P. Analysis of doubly periodic dielectric structures formed by spherical black holes. Radiation and Scattering of Electromagnetic Waves (RSEMW). Divnomorskoye, Russia. 28 June – 2 July 2021. Р. 51. DOI: 10.1109/RSEMW 52378.2021.9494093
- Chizhevskaya Ya.I. Performance of doubly periodic absorbing structures formed by spherical black holes on a PEC screen. The 16th European Conference on Antennas and Propagation: EuCAP'2022. Madrid, Spain. 27 March - 1 April 2022. DOI: 10.23919/EuCAP53622.2022.9769612.
- Chizhevskaya Ya.I. A modification of the hybrid projection method for analysis of doubly periodic structures with inhomogeneous magneto-dielectric elements. 2021 Internationl Conference Engineering and Telecommunications (En&T). Dolgoprudny, Russia. 24-25 November 2021. DOI: 10.1109/EnT50460.2021.9681768.
- Skobelev S.P., Smolnikova O.N. Analysis of doubly periodic inhomogeneous dielectric structures by a hybrid projective method. IEEE Trans. 2013. V. AP-61. № 10. P. 5078-5087.