There is so much about "simple" diode detectors that make them somewhat un-simple.
They are square law devices that "change" at some power level from true log law proportional to dB to something else still non-linear.
There is a notorious temperature dependence that needs clever circuits involving another diode to cancel.
They have a forward voltage offset that somewhat modifies what they do for levels below 300mV.
Use Google and read up on detector circuits - there's lots!
At 11 GHz, if you have to have powers available high enough that you can take a coupled sample straight into a series diode feeding a capacitor, you run into a whole mess of other problems. A 2-diode trick is better.
Very important is the levels you want to measure. A 2-diode detector using zero-bias Schottky (Avago I think) feeding a chopper sampler (very cheap!) can let you read down to about -60dBm. BUT... you have quite a bit of circuit to build.
Though it worked with a microwave diode pair in one package, + 2 DIP ICs, I don't want to do this again.
My last detector was a 1-component thing in a small outline 8-pin SMD that cost about £7 ($11). It would work to 2.7GHz. There were some more minor bits to deliver the regulated supply voltage, and 1 op-amp (approx $2) plus some resistors to get the DC output to a level we could send to a data-logger. It was a fast, low cost solution.
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Here is an Agilent temperature compensated design using diode packs you can get from Avago (or maybe their modern equivalent). It looks (only just!) good enough for 11GHz, but putting it on low-loss circuit board for a single build is hardly cheap!
Hope this helps..