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Publication# Single-Layer Quad-Band Printed Reflectarray Antenna with Dual Linear Polarization

Abstract

A novel single layer, dual linear polarized unit cell is introduced for a quad-band reflectarray antenna in the Ku-band centered around 12, 13, 14, and 15.5 GHz. The unit-cell design is such that the resultant reflectarray antenna can be considered as four different reflectarray antennas, each with a specific beam shape, sharing one aperture. As proof-of-concept, two quad-band reflectarray antenna prototypes having a plate size of 20 x 20 cm(2) have been designed and fabricated each with a certain beam direction versus frequency. Measurement and simulation results show satisfactory performance of both reflectarray antennas at each frequency.

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A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The argument may use other previously established statements, such as theorems; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms, along with the accepted rules of inference. Proofs are examples of exhaustive deductive reasoning which establish logical certainty, to be distinguished from empirical arguments or non-exhaustive inductive reasoning which establish "reasonable expectation".

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A proof is sufficient evidence or a sufficient argument for the truth of a proposition. The concept applies in a variety of disciplines, with both the nature of the evidence or justification and the criteria for sufficiency being area-dependent. In the area of oral and written communication such as conversation, dialog, rhetoric, etc., a proof is a persuasive perlocutionary speech act, which demonstrates the truth of a proposition.

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