By default Facebook will be using your name on ads, just like the ads shown on the above picture. You can stop this by doing the following steps

1.  Go to Accounts >> Account Settings

2. Go to Facebook Adverts

3. It shows Facebook will not Show your Photos in ads (We are talking about the usage of Names here, not the photos)

4.  Change the dropdown value to No one and click Save Changes

[Via Of Zen and Computing]