System and method for extending path length of a wave signal using angle multiplexing

A system for extending a path length of an electromagnetic wave signal, the system comprising N arrays having M1 through MN apertures, respectively,

• wherein:
• N≥2, M1≥2, and each of M2 through MN≥1;
• a substantial number of the M1 apertures in a first array is configured to send the electromagnetic wave signal to a substantial number of the M2 apertures in a second array through the MN apertures in a N-th array;
• the substantial number of a first aperture in the second array through a (MN−1)-th aperture in the N-th array, if MN≥2, and through a MN-1-th aperture in the (N−1)-th array, if MN=1, receiving the electromagnetic wave signal from the substantial number of the M1 apertures in the first array is configured to redirect the received electromagnetic wave signal back to the substantial number of the M1 apertures in the first array;
• and
• a MN-th aperture in the N-th array is configured to send the electromagnetic wave signal to another one of the M1 apertures in the first array after receiving the electromagnetic wave signal from the substantial number of the M1 apertures in the first array.

A system for extending a path length of an electromagnetic wave signal, the system comprising N arrays having M1 through MN apertures, respectively,

• wherein:
• N≥2, M1≥2, and each of M2 through MN≥1;
• a first aperture in the second array is configured to send the electromagnetic wave signal to a first aperture in the first array;
• a substantial number of the M1 apertures in a first array is configured to send the electromagnetic wave signal to a substantial number of the M2 apertures in a second array through the MN apertures in a N-th array, except that the first aperture in the first array is configured not to send the electromagnetic wave signal to the first aperture in the second array;
• the substantial number of a first aperture in the second array through a (MN−1)-th aperture in the N-th array, if MN≥2, and through a MN-1-th aperture in the (N−1)-th array, if MN=1, receiving the electromagnetic wave signal from the substantial number of the M1 apertures in the first array is configured to redirect the received electromagnetic wave signal back to the substantial number of the M1 apertures in the first array;
• and
• a MN-th aperture in the N-th array is configured to send the electromagnetic wave signal to another one of the M1 apertures in the first array after receiving the electromagnetic wave signal from the substantial number of the M1 apertures in the first array.

A method for extending a path length of an electromagnetic wave signal traversing between N arrays having M1 through MN apertures, respectively, wherein N≥2, M1≥2, and each of M2 through MN≥1, the method comprising:

• sending, by a substantial number of the M1 apertures in a first array, the electromagnetic wave signal to a substantial number of the M2 apertures in a second array through the MN apertures in a N-th array;
• receiving, by the substantial number of the M2 apertures in the second array through the MN apertures in the N-th array, the electromagnetic wave signal from the substantial number of the M1 apertures in the first array;
• redirecting, by the substantial number of the M2 apertures in the second array through the MN apertures in the N-th array, the received electromagnetic wave signal back to the substantial number of the M1 apertures in the first array;
• and
• after receiving, by the substantial number of the M1 apertures in the first array, the redirected electromagnetic wave signal from a MN-th aperture in the N-th array, sending, by the substantial number of the M1 apertures in the first array, the electromagnetic wave signal to another one of the M1 apertures in the first array.

A method for extending a path length of an electromagnetic wave signal traversing between N arrays having M1 through MN apertures, respectively, wherein N≥2, M1≥2, and each of M2 through MN≥1, the method comprising:

• sending, by a substantial number of the M1 apertures in a first array, the electromagnetic wave signal to a substantial number of the M2 apertures in a second array through the MN apertures in a N-th array;
• receiving, by the substantial number of a first aperture in the second array through a (MN−1)-th aperture in the N-th array, if MN≥2, and through a MN-1-th aperture in the (N−1)-th array, if MN=1, the electromagnetic wave signal from the substantial number of the M1 apertures in the first array;
• redirecting, by the substantial number of the first aperture in the second array through the (MN−1)-th aperture in the N-th array, if MN≥2, and through the MN-1-th aperture in the (N−1)-th array, if MN=1, the received electromagnetic wave signal back to the substantial number of the M1 apertures in the first array;
• and
• after receiving, by a MN-th aperture in the N-th array, the electromagnetic wave signal from the substantial number of the M1 apertures in the first array, sending, by the MN-th aperture in the N-th array, the electromagnetic wave signal to another one of the M1 apertures in the first array.

A method for extending a path length of an electromagnetic wave signal traversing between N arrays having M1 through MN apertures, respectively, wherein N≥2, M1≥2, and each of M2 through MN≥1, the method comprising:

• sending, by a first aperture in the second array, the electromagnetic wave signal to a first aperture in the first array;
• sending, by a substantial number of the M1 apertures in a first array, the electromagnetic wave signal to a substantial number of the M2 apertures in a second array through the MN apertures in a N-th array, except that the first aperture in the first array does not send the electromagnetic wave signal to the first aperture in the second array;
• receiving, by the substantial number of a first aperture in the second array through a (MN−1)-th aperture in the N-th array, if MN≥2, and through a MN-1-th aperture in the (N−1)-th array, if MN=1, the electromagnetic wave signal from the substantial number of the M1 apertures in the first array, except that the first aperture in the second array does not receive the electromagnetic wave signal from the first aperture in the first array;
• redirecting, by the substantial number of the first aperture in the second array through the (MN−1)-th aperture in the N-th array, if MN≥2, and through the MN−1-th aperture in the (N−1)-th array, if MN=1, the received electromagnetic wave signal back to the substantial number of the M1 apertures in the first array;
• and
• after receiving, by a MN-th aperture in the N-th array, the electromagnetic wave signal from the substantial number of the M1 apertures in the first array, sending, by the MN-th aperture in the N-th array, the electromagnetic wave signal to another one of the M1 apertures in the first array.