Hello everyone.

I have a problem that asks me to evaluate the gain of a lossless antenna. The information we have is the following:

P_rad = radiated power = 10 W
U(θ,Φ) = B_0 * cos³(θ) with 0 <= θ < π/2 and 0 <= θ < 2π
B_0 is a constant value.

I have already evaluated B_0 = 20/π by means of P_rad generic formula.
I already evaluated the Antenna Directivity, D = 8 ⇒ 9.031dB

I have 2 formulas to evaluate the Gain but none suits the information I have from the problem. They are:

and using the antenna efficiency and reflection coefficient by:

e = 1 - |Γ|²

and

G = e * D

This said, how can I evaluate the antenna gain?

 

What is wrong with the "tex" tags?

Well, problem fixed but something is wrong with the tex tags

 

What is wrong with the "tex" tags?

Tried doing one of the formula in tex:

\(G=\frac{4\pi\cdot U(\theta,\phi)}{P_{rad}\)

It seems to work OK. This is the code used:

[.tex]G=\frac{4\pi\cdot U(\theta,\phi)}{P_{rad}[/tex]

Note that I prefer to mutilate the initial tex tag rather than add "plain /plain" tags in order to show the tex code.

 

Tried doing one of the formula in tex:

\(G=\frac{4\pi\cdot U(\theta,\phi)}{P_{rad}\)

It seems to work OK. This is the code used:

[.tex]G=\frac{4\pi\cdot U(\theta,\phi)}{P_{rad}[/tex]

Note that I prefer to mutilate the initial tex tag rather than add "plain /plain" tags in order to show the tex code.

I know now what went wrong! I used back slashes and you used front slashes! (\ -- /)

And what about my antenna gain, any idea?