In this work we introduce analytical expressions for the study and analysis of helical nano-antennas. Utilizing closed form expressions for the loop antenna, and by using array theory we are able to characterize for the first time nano-helices in the infrared and optical regimes. Based on our preliminary results, when the penetration of the radiation into the antennas' metals is taking into account, superior directivity compared to the impenetrable-perfectly electric conductive-microwave antenna case is obtained.
