The invention relates to a volumetrically efficient solenoid antenna fabricated on or within a substrate, such as a printed circuit board. The antenna may be used in many applications requiring a short-range wireless communication or sensing link, such as RFID systems, badge readers, contactless connectors, proximity sensors, and short-range data links. The antenna may be, for example, fabricated on or within a printed circuit board of an RFID reader, thereby enabling a perpendicular orientation of the RFID reader with respect to the z-axis of an RFID tag, where the x-y axes are the length and width of the tag. This perpendicular orientation enables the user to point or aim the RFID reader directly at the RFID tag for efficient information transfer between the reader and a single tag in a multiple tag environment.