Bruene Coupler and Transmission lines. Version 1.3 October 18, 2009 1 The Bruene Directional Coupler and Transmission Lines Gary Bold, ZL1AN.
[email protected] Abstract The Bruene directional coupler indicates \forward" and “reflected” power. Its operation is invariably explained using transmission line concepts, which leads some to wrongly believe that it must always be connected directly to a line. There are also many misconceptions about what happens on a transmission line, and in particular, what happens at the source end. This document addresses these misconceptions. Unfortunately, many derivations require complex exponential notation, phasor representations of voltage and current, and network theorems. There isn't any alternative if rigor is to be maintained. Section 1 gives some background on the Bruene coupler. Section 2 explains its operation when terminated in a resistance. Section 3 works a simple numerical example on a matched transmission line and load. Section 3 repeats this calculation for a mismatched line and load. Section 4 explains the correct interpretation of the powers read by the Bruene meter. Section 5 explains that a mismatched source always generates additional reflections, and shows how the steady-state waves on the line build up by summing these reflections. Section 6 develops the theory of section 6 further, and shows how the ¯nal waves build up in the mismatched line example given in section 4. Five appendices follow: Appendix A develops the general theory of line reflection where both source and load are mismatched, and the line may be lossy. Appendix B works a simple example to illustrate appendix A.