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Chapter 2 theory of operation, Travelling wave viewpoint, Formulas – Bird Technologies 4527 User Manual

Page 15: Forward, Reflected, Coupling circuit, Forward reflected

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Chapter 2

Theory of Operation

Travelling Wave Viewpoint

The easiest way to visualize Thruline operation is from a travelling wave view-
point. In transmission lines the voltages, currents, standing waves, etc., on any
uniform line section result from the interaction of two travelling waves:

Forward Wave (and its power) travels from the source to the load. It
has RF voltage E

f

and current I

f

in phase, with E

f

/ I

f

= Z

o

.

Reflected Wave (and its power) originates by reflection at the load and
travels from the load back to the source. It has an RF voltage E

r

and cur-

rent I

r

in phase, with E

r

/ I

r

= Z

o

.

Formulas

Each wave is mathematically simple and has a constant power:
Forward

Reflected

Note: Z

o

is the characteristic impedance of a uniform line section. For

useful lines it is usually a pure resistance of 50 ohms. The RF circuit of
the Bird 43 is a length of uniform air line with Z

o

= 50 ohms.

Coupling Circuit

The coupling circuit that samples the travelling waves is in the Bird Plug-In Ele-
ment. The element circuitry and its relationship to the rest of the Bird 43 are
illustrated in Figure 3.

W

f

WattsForward

E

f

2

Z

o

I

f

2

Z

o

E

f

L

f

=

=

=

=

W

r

WattsReflected

E

r

2

Z

o

I

r

2

Z

o

E

r

L

r

=

=

=

=

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