Scrolling reconfigurable arrays

A reconfigurable reflectarray antenna, comprising:

• a flexible substrate;
• a plurality of reflectarray patterns disposed on a surface of the flexible substrate, each reflectarray pattern comprising a plurality of reflectarray elements;
• and
• an actuator system coupled with the flexible substrate;
• the actuator system being configured to scroll the flexible substrate to different operational positions such that when layout of the plurality of reflectarray patterns is changed, at least one electromagnetic (EM) characteristic of the reflectarray antenna is reconfigured,
• the reconfigurable reflectarray antenna being configured such that in a predetermined operational position, an aperture of the reflectarray being formed by two reflectarray patterns that are optimized to direct an illuminating beam in a new direction,
• the at least one EM characteristic comprising one or more of beamsteering, polarization, and frequency,
• phase distributions of the plurality of reflectarray elements being optimized to steer illuminating beams in predetermined directions,
• the plurality of reflectarray elements is configured to operate in Ku-band at a center frequency of 16 GHz and with an element spacing of 18.75 mm (0.5λ),
• a 313° range of reflection phase response being achieved with a maximum loss of 0.17 dB,
• the plurality of reflectarray patterns having a fixed aperture size,
• the plurality of reflectarray elements having a rectangular shape, a square shape, or a circular lattice shape,
• the actuator system comprising two supporting members coupled to two ends of the flexible substrate, respectively,
• the actuator system further comprising an actuator coupled to the two supporting members for scrolling the flexible substrate,
• the actuator being configured to actuate the two supporting members to move the flexible substrate by a rotational motion or a sliding motion,
• the actuator comprising a step motor,
• the layout of the plurality of reflectarray patterns being moved into different operational positions to provide different directions of illuminating beams,
• only one reflectarray pattern of the plurality of reflectarray patterns being exposed to be illuminated for each operational position,
• the flexible substrate being made of plastic, polyimide, polyethylene terephthalate, or textile,
• the surface of the flexible substrate on which the plurality of reflectarray patterns is disposed being a flat or a curved reflecting surface,
• the flexible substrate having another surface opposite to the surface on which the plurality of reflectarray patterns is disposed and the another surface being at least partially covered by a metal, and
• the metal being copper.

A method for optimizing phase distributions of a plurality of reflectarray elements of a reconfigurable reflectarray antenna to steer illuminating beams in predetermined directions, the method comprising:

• step 1:
• optimizing phase distribution of an aperture of the reflectarray elements to have a broadside radiation (θ=0°, ϕ=0°);
• step 2:
• shifting the reflectarray elements by 0.5λ×C to a right direction and covering the reflectarray elements in the last C columns on the right side;
• step 3:
• taking into account the new position of the reflectarray elements in radiation pattern from step 2 and calculating the phase distribution;
• step 4:
• determining directions of the new beam (θi, ϕi);
• step 5:
• radiating the new C columns on the left side of the reflectarray in the direction (θi, ϕi) determined in step 4 and calculating the required phase distribution;
• and
• step 6:
• combining the phases obtained from step 5 and step 2 to form a new reflectarray phase distribution.