(a)
The reflective phase shift at the front surface of glass for the glass thickness
Answer to Problem 12.18P
The reflective phase shift at the front surface of glass is
Explanation of Solution
Given:
Refractive index of glass
Glass thickness
Concept Used:
Calculate reflection coefficient
Use the value of input impedance as
Then, calculate phase by using the formula
Calculation:
Now there are three regions where region first is air, region two is the glass and the region three is perfectly conductor.
With the third region as the perfect conductor
Now, the input impedance for the structure as,
Then the reflection coefficient will be as below:
The reflective phase can be calculated as below:
We have
For
And so, we have,
(b)
The reflective phase shift at the front surface of glass for the glass thickness
Answer to Problem 12.18P
The reflective phase shift at the front surface of glass is
Explanation of Solution
Given:
Refractive index of glass
glass thickness
Concept Used:
Calculate reflection coefficient
Use the value of input impedance as
Then, calculate phase by using the formula
Calculation:
Now there are three regions where region first is air, region two is the glass and the region three is perfectly conductor.
With the third region as the perfect conductor
Now the input impedance for the structure as,
Then the reflection coefficient will be as below:
The reflective phase can be calculated as below: -
We have
For
And so, we have,
(c)
The reflective phase shift at the front surface of glass for the glass thickness
Answer to Problem 12.18P
The reflective phase shift at the front surface of glass is
Explanation of Solution
Given:
Refractive index of glass
glass thickness
Concept Used:
Calculate reflection coefficient
Use the value of input impedance as
Then, calculate phase by using the formula
Calculation:
Now there are three regions where region first is air, region two is the glass and the region three is perfectly conductor.
With the third region as the perfect conductor
Now the input impedance for the structure as,
Then the reflection coefficient will be as below: -
The reflective phase can be calculated as below:
We have
For
And so, we have,
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Chapter 12 Solutions
Engineering Electromagnetics
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