Application of Fractals in Telecommunications: Yahweh-Emanuel Vaz's Fractal Patch Antenna
Abstract:
The Vaz fractal is presented with an appropriate calculation treatment. The Vaz fractal is applied to the reduction of antenna length. Vaz fractal antennas exhibit lower resonance frequencies than linear dipoles of equal length and are therefore suitable for miniaturization of equipment. Studies on the subject are widely disseminated in journals. From linear log-periodic modeling, a fractal log-periodic antenna with Emanuel Vaz fractal dipoles was obtained and studied with three iterations. This article analyzes the Emanuel Vaz fractal antenna in its first three iterations, with a total height of 20 cm. Through simulations with the 4NEC2 program, the parameters of resonance frequency, input impedance, standing wave ratio and radiation pattern obtained are compared with those of a linear dipole of the same height. The antennas resulting from the first two iterations and the linear dipole antenna were fabricated with copper wire, while the antenna resulting from the third iteration was etched in copper onto a rigid cardboard plate due to its geometric complexity. The results obtained in the measurements show good agreement with simulations and other studies of fractals as antennas.
KeyWords:
Antenna, Fractal, Iterations, log-periodic antenna.
References:
- Constantine A. Balanis. ANTENNA THEORY ANALYSIS AND DESIGN, THIRD EDITION, JOHN WILEY & SONS, INC. USA, 2005
- Emanuel Eduardo P. Vaz. Parâmetros de qualidade numa máquina de lavar loiça. QSP, Viseu, Setembro 2008.
- Emanuel E. P. Vaz. Antenas Teoria e Prática, Lopes da Silva Editora, Porto, 1986.
- Emanuel E.P. Vaz. Antennas and Propagation, in press.
- Emanuel E. P. Vaz. Contribution to the study of a U-shaped Patch antenna array with cardboard substrate and cuprous oxide microstrip, Rmd, UA, 28-04-2025, DOI: https://doi.org/10.23882/rmd.25285
- Emanuel E.P. Vaz COMPLEX ANALYSIS COURSE FOR ENGINEERING AND SCIENCES, in press.
- J. Laborde. Cours et Exercices de Calcul Numérique, Dunod, Paris 1965.
- Mundo dos Fractais: A Geometria da Natureza, Matemática Aplicada,
- Marcelo Lopes Vieira. Explorando o Fascinante Explorando os Fractais: A Geometria da Natureza
- Marcos Roberto Dalpiaz. UM ESTUDO SOBRE FRACTAIS: ORIGEM E PROPOSTA DIDÁTICA PARA APLICAÇÃO EM AULA, Universidade Tecnológica Federal do Paraná – UTFPR, Curitiba 2016.
- NEC based antenna modeler and optimizer. 4NEC2, free software modernizer and optimizer
- N. Piskounov. Cálculo diferencial e integral vol II, Lopes da Silva Editora, Porto, 1965