I have changed the frequency slightly during my experiments, how should it affect on the intensity of sonication? Many publications said that it should remain same, while some reported that it should be increased simultaneously.
If you are talking about a piezoelectric ultrasonic transducer, the frequency of the applied signal is very important. Typically, these transducers have a relatively narrow bandwidth, therefore they should be driven at their operating frequency. Sometimes just a little change on the frequency takes it out of resonance and therefore the amplitude of the vibrations is very much reduced.
I hope I understood you correctly and could help you.
Pzt transducers has one or more resonance frequencies, if you are in their resonance frequencies the performance of the transducer is maximal (at least in the frequency domain), so their intensity is also improved, however there are others ways to improve your transducer performance, such as “tuning the impedance of the transducer-medium”, and adjusting the frequency slightly in your experiment in order to have always the resonance frequency (yes, the resonance frequency has some little changes in course of time), if you want to know the resonance frequency of your transducer you should use an impedance analyzer