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ECE 6340 Intermediate EM Waves. Fall 2013. Prof. David R. Jackson Dept. of ECE. Notes 20. Example. RHCP. q i. q r. #1. y. q t. #2. z. Find: % power reflected AR of reflected wave % power transmitted AR of transmitted wave. Example (cont.).

Prof. David R. Jackson Dept. of ECE

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ECE 6340

Intermediate EM Waves

Fall 2013

Prof. David R. Jackson

Dept. of ECE

Notes 20

Example

RHCP

qi

qr

#1

y

qt

#2

z

Find: % power reflected

AR of reflected wave

% power transmitted

AR of transmitted wave

Example (cont.)

First look at the TEz part:

Example (cont.)

Now look at the TMz part:

Example (cont.)

B

qi

RHCP

A

y

z

B

TMz

TEz

A

Incident wave:

View from the origin

Example (cont.)

D

qr

C

y

z

D

TMz

TEz

C

Reflected wave:

View from origin

Example (cont.)

qi

qr

y

z

TEzpart:

so

Example (cont.)

qi

qr

y

z

TMzpart:

so

or

Example (cont.)

Hence

Example (cont.)

LHEP

qi

qr

y

z

Axial Ratio of Reflected Wave

Note: The phase difference between the components is 90o.

The major axis will therefore lie along either x or q.

View from origin

Example (cont.)

Example (cont.)

We can also use the TEN:

The incident wave has equal powers in the TM and TE parts.

Incident (TE or TM)

#1

#2

Example (cont.)

Conservation of energy:

so

Example (cont.)

y

F

E

z

F

TMz

TEz

E

Transmitted wave:

View from origin

Example (cont.)

qi

qr

y

qt

z

TEzpart:

so

Example (cont.)

qi

qr

y

qt

z

TMzpart:

Hence

so

Example (cont.)

Hence

Example (cont.)

qi

qr

y

qt

z

Axial Ratio of Transmitted Wave

Not drawn to scale!

RHEP

View from origin