Theory of operation, Chapter 2 – Bird Technologies 4331 User Manual

Page 21

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Chapter 2

Theory of Operation

Travelling Wave Viewpoint

The best way to visualize the Thruline Wattmeter principle is from the

Travelling Wave viewpoint. In transmission lines, the voltages, currents,

standing waves, etc., on any uniform line section are the result of the

interaction of two Travelling waves:

s

The forward wave travels (and its power flows) 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.

s

The reflected wave originates by reflection at the load, travels

(and its power flows) from the load back to the source, and also

has an RF voltage E

r

and current I

r

in phase, with E

r

/ I

r

= Z

o

.

s

Note that each component wave is mathematically simple, and is

completely described by a single figure for power, for instance:

W

f

= Watts Forward = E

f

2

/ Z

o

= I

f

2

Z

o

= E

f

I

f

W

r

= Watts Reflected = E

r

2

/ Z

o

= I

r

2

Z

o

= E

r

I

r

Z

o

is the characteristic impedance of the uniform line, and simplifies matters

by being nearly a pure resistance, usually 50 ohms, for useful lines. The

main RF circuit of the Model 43 is a short piece of uniform air type line

section, whose Z

o

is 50 ohms, in which accurate measurements may be made.

Coupling Circuit

The coupling circuit which samples the travelling waves is in the Plug-In

Element. The circuitry of the element and its relationship to the other

7

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