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Load Effects on Passive Networks 373<br />

15<br />

10<br />

8<br />

t<br />

M" 4<br />

5<br />

2<br />

P L (d8)<br />

Po 0 SL= 1<br />

Min 2<br />

1_ 5 4<br />

8<br />

-10<br />

16<br />

SL=32<br />

S,_<br />

-15<br />

1 2 4 8 16 32 64 128<br />

Figure 9.38.<br />

power.<br />

Power from a complex source to a complex load relative to the I : I SWR load<br />

Reference the load power to that delivered to the normalizing resistance Ro.<br />

Call this Po and set SL equal to I in (9.76); this yields<br />

Po _ 4S,<br />

Pa> - (S,+ 1)2'<br />

Therefore, dividing (9.76) by (9.77) yields the minimum relative power:<br />

(9.77)<br />

. P L<br />

SL(S,+ 1)2<br />

mm-=. (9.78)<br />

Po (S,SL+I)2<br />

Note that (9.73) is a strictly increasing function <strong>of</strong> S. By (9.74) and (9.75),<br />

S,

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