Contemporary Research Analysis Journal

The aim of this article is to design an antenna similar to the "Karchenko-Marconi-Emanuel Vaz Antenna", but planar using a fractal. To do this, the rings of a microstrip square configuration are folded at the junction and positioned parallel to each other. This study is based on the philosophy of matryoshka antennas, with some refinements. In particular, each ring is considered as a U-shaped antenna, and the frequency values ​​of these two philosophies are compared with those of other commonly used methods. The execution of a FSS further clarifies the interest of the Maria Vaz Antenna. The theoretical study of the electric field employed in this case is simple and generalizable.

Antenna; fractal; frequency-selective surface; filosofia matryoshka; planar

1. Alfredo Gomes Neto; Jefferson Costa e Silva; Ianes Barbosa Grécia Coutinho; Diego  Cássio Garcia Fernandes; Laryssa Maria de Sousa Duarte; Amanda Gomes Barboza. Development of Reconfigurable Frequency Selective Surface Associating Cross Dipoles and Matryoshka Geometries. Federal Institute of Paraíba, IFPB. In IEEE Conference on Antennas and Propagation, December 2024.
2. Alfredo Gomes Neto;Jefferson Costa e Silva; Johnson Nogueira de Carvalho; Custódio Peeixeiro. Planar Printed Structures Based on Matryoshka Geometries: A Review . 
3. Alfrêdo Gomes Neto, Jefferson Costa e Silva, Joabson Nogueira de Carvalho, André    Nascimento da Silva, Cecília Burle de Aguiar, Deisy Formiga Mamedes. FSS Analysis with U-Shaped Metallization Layer Geometry. Anￃﾡlise de FSS com Geometria da Camada de Metalizaￃﾧￃﾣo em Forma de U . Telecommunications and Applied Electromagnetism Group, GTEMA Federal Institute of Education, Science and Technology of Paraíba, IFPB João Pessoa, PB, Brazil. Brazilian Symposium on Microwaves and Optoelectronics, 2014. 
4. Coilcraft Inc., Basic of design - Investigating Inductor Requirements for Power and   RF/Microwaves Designs. Electronic Design Magazine, March 2014. Available in: https://www.coilcraft.com/getmedia/0216fb39-cc39-4cd9-a5b2-578ce1c204e/Doc1189_Coilcraft_Basics-of-Inductor-Selection.pdf.
5. Emanuel Vaz and others. Problems in Atomic Physics. According to the FCUP   programs, 1965.
6. Emanuel Vaz and others. The integral formula of Emanuel - Idriss - II, contribution to electronics, in press. 
7. Emanuel Vaz. A antena de Kharchenko-Marconi-Emanuel Vaz: implicações sociotécnicas na vida estudantil dos alunos de engenharia eletrotécnica dos nossos dias, QSP, Abril 2023. 
8. Emanuel Eduardo Pires Vaz. Contribuição para o estudo de um arranjo de antenas Patch em U com substrato de cartão e microtira em óxido cuproso, revistamultidisciplinar vol 7 N1 (2025). DOI: https://doi.org/10.23882/rmd.25285
9. Emanuel Eduardo Pires Vaz. The Cooling Problem in a Very High-Power Electrical Transformer: Contribution to Heat Flow and Transfer Predictions in Innovative Technologies, Contemporary Research Analysis Journal Open Access Volume 02 Issue 11 November 2025 CrossRef DOI: 10.55677/CRAJ/03-2025-Vol02I11. 
10. E. Ramis et J. Commeau, Nouveau Cours de Mathématiques Spéciales, algèbre, Masson et Cie 1965, on page 146 and 147, Paris.
11. L. Green. “RF-inductor modeling for the 21st century”, EDN, September 2001, pp. 67-74. 
12. (PDF) Development of Reconfigurable Frequency Selective Surface Associating Cross       Dipoles and Matryoshka Geometries | Jefferson Costa e Silva - Academia.edu 
13. DISSERTAÇÃO-LARYSSA.pdf 
14. ValdezAAFi_DISSERT.pdf 
15. Microsoft Word - BE05 Sections.doc 
16. Microsoft Word - L15_Arrays3.doc (mcmaster.ca) 
17. Vaz, E.E.P. Electromagnetism, in press.
18. William H. Hayt, Jr, Electromagnetism, 3rd edition on page 147, Livros Técnicos e Científicos Editora Ltda, São Paulo, Brazil, 1983.