The Independent Police Complaints Commission is investigating the shooting of Marc Traylor by a Kent police officer after he reportedly stabbed his daughter Kitty.
Traylor, 40, was left fighting for his life after the shooting, which happened after he is purported to have stabbed his 16-year-old daughter at their Hersden home on Sunday, 8 February.
Kitty is recovering from her injuries in hospital while Traylor remains in a serious condition.
IPCC investigators have been to the home and an independent ballistics expert has also examined the address.
The firearms officers have provided accounts of the incident and are being treated as significant witnesses.
Investigators have recovered for testing a police issue handgun, two Tasers and a baton launcher that were used during the incident.
IPCC commissioner Mary Cunneen, said: "My thoughts are with all those involved in this serious incident. Our investigators have met with the family to explain our role and we will keep them updated as our investigation progresses.
"Although incidents of this nature are rare, where someone is shot by the police it is right that it is subject to rigorous independent scrutiny. We have made good progress recovering evidence that will help provide an understanding of what happened."