“…However, near-field ELF links present several problems, including i) limited bandwidth due to the use of low frequencies, which in turn limits channel capacity; and ii) the need to use electrically small antennas due to device size constraints. Fundamentally, the Chu-Harrington limit [8]- [10] lower-bounds the quality factor (Q) of small antennas to ∼ (c/ωa) 3 , where a is the radius of its enclosing sphere, As a result, the bandwidth and radiation efficiency of small dipoles both degrade rapidly with frequency (as ω 4 a 3 and ω 3/2 a, respectively), while small loops are even worse [2]. Thus, extremely large transmit antennas are necessary for obtaining reasonable bandwidth, channel capacity, and radiation efficiency at ELF [11]- [13].…”