Period Doubling Analysis on the SBD in Microwave Transmission Line

Abstract

A simple electromagnetic system composed by a Schottky barrier diode (SBD) and linear lossless microstrip line is introduced in this paper. The period doubling phenomenon in this circuit system is studied following the train of thought, which is adopted in the field of the driven Resistor-Inductor-Diode (RLD) series circuit. The related phenomenon and its origins have been studied extensively in RLD circuit. However, it will not be able to exhibit period doubling and chaos if SBD is applied in RLD circuit. We show period doubling phenomena in a microwave circuit containing SBD for the first time. This paper reveals that the given circuit can produce cycle period doubling at microwave frequency by means of simulations and experiments. Physical verification and theoretical explanation have been given in this paper.

Analysis of the Function of Schottky Barrier Diode in Microwave Rectifying Circuit

“…For Figure 6(a), the period-doubling phenomenon will be observed on the test point VR by adjusting the length of TL2 at GHz frequencies. By setting 1 GHz fundamental frequency, the diagram of the period doubling phenomenon obtained by simulating with advanced design system (ADS) software is given in Figure 7 [18]. We have presented the theoretical and experimental analyses in the previous paper, and the experimental results are undeniable.…”

“…Te causes of the period doubling phenomenon at the VR testing point have been explained in detail [18]. From this phenomenon, we are inspired to get the idea that the one-directional conductivity of the SBD does not appear at GHz frequencies.…”

“…In the following fgure, TL1 � 38 mm, and TL3 � 60 mm. Te choice of the TL1 and TL2 length is based on the data in reference [18]. When the length of TL1 is 38 mm, the single period will appear at the VR test point.…”