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regarding artillery, original persian clans usually didn't use artillery tools for their major wars because they preferred to trap their enemies and fighting them in open areas as they had better cavalry and their troops were more efficient in open areas.
Though persians used Moving towers for entering cities with huge walls and used greek rams when they were attacking the greek cities in Turkey and duplicated that technology and used it in egypt too.
Persian Catapults were made by the greek part of their empire mainly and they nearly never used them in any major fights.
Beside setting Athens on fire (which was abandened before persian army reached there) they never tried to demolish a city when sieging it.