Time Stop as a Delivery System
This is a very standard high-optimization tactic. Against a spellcasting enemy with contingent spells or the ability to use Celerity or similar effects to avoid being closed with, using Time Stop to walk up to them and then an Antimagic Field to shut down their ability to escape (as well as all buff spells and spellcasting ability) is one of the few ways to deliver the AMF without Readied actions, Celerity or the like getting in the way.
As for the interaction, it's covered under the basic text of AMF. Any active spells within it's area of effect with a duration are suppressed for the duration of the AMF - so the Time Stop's duration is suppressed. This will pretty much only come up if you have a way to dismiss an AMF or it gets hit by a Disjunction.
The specific interaction with readied actions and the like is that the readied action activates, but whatever spell would be used to escape (such as Teleport) is instead ineffective, as the caster is already within the radius of the antimagic field (and they can't use it before the field goes up, as the caster is in a time stop until that point).