[{"input":{"fields":[{"name":"last_name_hebrew","text":"test1"}]},"output":{"fields":[{"name":"last_name_hebrew","text":"test1"}]}},{"input":{"fields":[{"name":"last_name_hebrew","text":"test1"}]},"output":{"fields":[{"name":"last_name_hebrew","text":"test2"}]}}]

db.collection.find({"input.fields":{$elemMatch:{"name":"last_name_hebrew"}},"output.fields":{$elemMatch:{"name":"last_name_hebrew"}},$expr:{$eq:[{$arrayElemAt:[{$filter:{input:"$input.fields",cond:{$eq:["$$this.name","last_name_hebrew"]}}},0]},{$arrayElemAt:[{$filter:{input:"$output.fields",cond:{$eq:["$$this.name","last_name_hebrew"]}}},0]}]}})