How can I attenuate the signal at the output of the antenna (it is tuned to 5.8 GHz) by 30-40 dB without using attenuators?

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Malcolm White

reflect 99.9% or more of the power by making a bad mismatch on the transmission line from the antenna. Crush the coax, put a metal plate on the stripline, use a damaged connector.

You could use a sheet of RAM

see https://www.eccosorb.eu/item?name=RFFOAM%20-%20Flexible%20and%20Structural%20Microwave%20Absorbing%20Foam

I was confused, I answered the heading of you post. However, RAM is an attenuator so if you use RAM you will be using an attenuator.

Igor K. Kuzmichev

The easiest way to attenuate the signal by 30dB or 40dB is to use a directional coupler with crosstalk attenuation of the specified amount.

Fritz Caspers

a section of a waveguide below cutoff may be another option