Consider the TE11 mode in a rectangular guide having width a and height b. Using Eqs. (96d) and (96e), along with methods described in Chapter 2, Section 2.6, show that the equation for the streamlines for this field (at z = 0) is
where C is a constant that identifies a given streamline.
To prove:
The equation for the streamlines for transverse electric field
Explanation of Solution
Given:
Width = a
Hight = b
Mode =
Concept used:
Formula to calculate equation for the streamlines is shown below:
Calculation:
Although,
Therefore,
Plugging value of km and kp in transverse electric field equation,
Since,
Hence,
For boundary condition of x and y final equivalent of above integral is shown below:
Conclusion:
Hence,the streamlines for transverse electric field
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Chapter 13 Solutions
Engineering Electromagnetics
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