Thank you all to your replies. They helped me in one way or another.
Now I moved little forward in my designing and I need your opinions about it.
First pictures shows me the results of my simulation without the matching network.
I read in a book that the general way for LNA matching is that you match on the input side for Minimum noise figure and on the output side for max gain.
If you look at the picture 1, It shows me the values for impedance matching.
That is what i did. I matched my 50 ohm source impedance to Zopt. which is 29.1+j*7.21 .
and on the output side I did the conjugate load matching , which is 50 ohm to 220.569 -j*47.323.
Picture 2 shows me the results after matching. I did achieve some goals. but
I have few confusions .
1- my S11 and S22 are bad . like really bad. And i don't know the reason for it.
2- I know that when i connected my input matching block and output matching block. They effected each other. I know its stupid question but how can i see how much impedences have been effected by each other. My intension was to bring 50 ohm to Zopt on input side and Zl(50 ohm) to conjugate Zout. How can i see that did i succeed in doing that or not? That's my biggest confusion right now.
Picture 3 is the results that changed as compared to picture 1 after connecting my matching results.
I am having trouble understanding or interpreting the results that I have got from attaching my input output matching blocks. Can someone please help me explain these results and the problems so that i know how to solve them. Thank you.