Near-field antenna system for an appliance

A dishwashing appliance defining transverse direction, a lateral direction, and a vertical direction, the dishwashing appliance comprising:

• a tub defining a wash chamber for receipt of articles for washing;
• a door movable between a closed position and an open position;
• and
• a dispenser assembly partially mounted to the door and partially disposed within the wash chamber, the dispenser assembly comprising:
• a near-field power antenna coupled with the door, the near-field power antenna having:
• a first central axis;
• and
• a first diameter about the first central axis;
• a first plurality of magnets spaced from the first central axis of the near-field power antenna by a first distance, wherein the first distance is at least equal to the first diameter of the near-field power antenna;
• a near-field receiver antenna disposed within the wash chamber, the near-field receiver antenna having:
• a second central axis;
• and
• a second diameter about the second central axis;
• and
• a second plurality of magnets spaced from the second central axis of the near-field receiver antenna by a second distance, wherein the second distance is at least equal to the second diameter of the near-field receiver antenna.