Time machine disk password rejected
I set up Time machine to backup my Mac on an external 3rd party hard drive and chose to encrypt it by using a password that I wrote down on the Mac itself (in a specific app). I regularly connect the drive to make a backup and it all works, except for the request, sometime, of the disk password. The first time I used that encrypted disk I had to enter the password that I wrote down before and confirmed the Mac to save it in the Keychain. Now, sometimes when the disk is connected, a dialog box appears asking me the "password to unlock the disk". I entered the same password everytime but didn't work (the dialog shakes), even though both the backup feature and the navigation (I mean accessing files and folders on the encrypted disk) work well.
I tried with different passwords and with capital letters but no success at all.
What should I do? Shall I ignore the request or may I have to fear that only the current Mac will be able to read the backup? Which by the way doesn't make a big sense!
MacBook Pro, Mac OS X (10.7.2)