Systems and methods for long-distance mobile wireless power

A method of operating a first antenna configured for magnetically coupling in reactive near-field to a second antenna, the method comprising:

• coupling a magnetic field between the first antenna and the second antenna, the first and second antenna (i) resonant at an operating frequency, and (ii) located within reactive near-field, wherein the reactive near-field represents a region surrounding the first antenna, wherein each point in the region is separated from the first antenna by a distance of less than 0.159 of a free space wavelength for the operating frequency;
• and
• providing a receiving system with a threshold amount of wireless inductive power exceeding 1 watt,
• wherein each of the first and second antennas is configured to fit inside a spherical volume with a diameter less than 1/20 of the free space wavelength of the operating frequency;
• wherein a dissipation of energy outside the reactive near-field, per cycle, due to circulating currents from the first antenna, is limited to less than ½ of a peak energy stored in the magnetic field;
• and
• wherein one or both of the first antenna and the second antenna is a dipole resonant at the operating frequency.