- #1

jegues

- 1,097

- 3

## Homework Statement

**1)**H-plane patterns of rectangular microstrip antenna, open-ended waveguide antenna and small horn antenna are measured and shown in the table below. Assuming the small horn antenna as reference antenna with a gain of [tex]G_{smallhorn} = 8dB[/tex] Obtain the gains of the other two antennas using gain-comparison method.

**2)**Using the gains derived in problem 1 and assuming f = 10.5GHz, obtain the effective area for the rectangular microstrip and open-ended waveguide antennas.

**3)**Calculate the aperture efficiency of the microstrip and open-ended waveguide antennas using the results of problem 2. (The physical aperture of the rectangular microstrip antenna is 0.8×1.25 cm^2 and the open-ended waveguide has a physical aperture size of 1×2.25 cm^2)

**4)**The E- and H-plane patterns of rectangular microstrip antenna and open-ended waveguide antenna are measured and the HPBWs are shown in the table below.

Use the approximate formula,

[tex]D = \frac{26000}{HPBW_{E} * HPBW_{H}}[/tex]

to calculate the gains of the antennas (assuming lossless antennas). Compare these results with the results obtained in problem 1 and determine which one is more exact if they were not equal.

## Homework Equations

## The Attempt at a Solution

I did my solution attempt in Mathcad so that if I have to change any of the parameters I can quickly solve the problem again.

Since there is no simple way to convert my math to text or latex I've attached an image of my solution attempt below.

**Questions**

**My calculated gains from part 1) don't seem to be lining up with the gains from part 4).**

Am I correct to use the power values in Watts and not dB in part 1)?

Is the approximate formula in 4) meant for HPBW values given in radians?

Am I correct to use the power values in Watts and not dB in part 1)?

Is the approximate formula in 4) meant for HPBW values given in radians?