We demonstrate continuous-frequency electric field measurements ofhigh-intensity microwaves via optical spectroscopy in a small atomic vaporcell. The spectroscopic response of a room-temperature rubidium atomic vapor ina glass cell is investigated and employed for absolute measurements ofK$_a$-band microwave electric fields from $\sim$200 V/m to $>$1 kV/m over acontinuous frequency range of $\pm $1 GHz (15% band coverage). It isestablished that in strong microwave fields frequency-specific spectralfeatures allow for electric field measurements over a large continuousfrequency range.
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