Design Guidelines and Applications for Dual-Band Rat-Race Couplers and Gysel Power Dividers with Unequal Amplitude Imbalances

TL;DR

This paper introduces design guidelines and equations for dual-band rat-race couplers and Gysel power dividers with unequal amplitude imbalances, validated through a practical example and a developed design tool.

Contribution

It provides a unified approach and design equations for dual-band couplers and dividers with unequal amplitude ratios, using specific dual-band structures instead of traditional transmission line models.

Findings

Design equations are applicable to both couplers and dividers.

A design tool facilitates parameter calculation and circuit analysis.

A practical example validates the proposed design methodology.

Abstract

This paper provides the design guidelines for a dual-band rat-race coupler and Gysel power divider with two different amplitude imbalances. The dual-band conditions are established based on the electrical nature of the coupler and dual-band C-section coupled lines/ T-structure/ $\Pi$-structures instead of using the dual-band equivalent transmission lines. It has been shown here that the same design equations can be utilized in the design of the rat-race coupler and Gysel power divider. The design equations are solved numerically to obtain the electrical parameters of the proposed coupler and power divider. The possible application of dual-band different power division ratios is presented for dual-band polarization controlled by a patch antenna. A design tool has been developed to obtain the coupler and power divider's design parameters and circuit analysis results. A design example of the coupler has been provided to validate the proposed concept.