Some more info is needed here. How much and what size distribution of DNA did you recover? Did you remove possible sources of endonuclease activity and store your DNA in TE buffer? How are you choosing sonication parameters?
Without this info, it is impossible to assess whether your DNA degraded prior to or during sonication, or whether you over-sonicated your DNA, or whether you simply have too little DNA to detect on a gel following sonication.
I am trying to recover DNA with a size of about 20kb. I didn't store in TE buffer but I store in sterile ultrapure water. For the sonication part, I already did some preliminary test before. I used 80% power with 30% duty and sonicated for 20s. I already loaded in 18uL of the samples but still cannot see the band.
Yen- since you are starting out with a complex mixture of DNA (note how smeared your original sample is), I would not expect to see enrichment for a particular sized band upon sonication. Sonication will shear your DNA into much smaller fragments, but these will be heterogeneous in size also. Is your goal to sequence this material?