We show that the strong absorption structure observed in the a-^-plane optical conductivity of the high-Tc superconductors is correlated with c-axis longitudinal optical (LOc) phonons. This suggests a resolution to the long-standing controversy over the origin of these features. The interaction with LOc phonons is forbidden when the incident wave vector q is normal to the c axis which leads to the surprising result, confirmed with experiments, that the optical properties along a or b are different when measured on the fl-^-plane face and a face containing the c axis. PACS numbers: 74.30.Gn, 63.20.Kr, 74.70.Vy, 78.20.CiThe unconventional response of the high-Tc superconductors to electromagnetic radiation has been well established [1]. A prominent manifestation of the non-Drude behavior is the "knee" that develops in the a-6-plane reflectance of YBa2Cu307-5 near 400 cm "' at low temperatures leading to a '*notch"-like absorption feature in the optical conductivity [2,3]. This structure has been the focus of much discussion. It has been variously attributed to the superconducting energy gap [4] and to pho-It has become clear that YBaiCusOj-s is not the only cuprate superconductor to exhibit such structure. Bi2Sr2CaCu208 [6], Tl2Ba2Ca"-iCu"02"+4 [7,8], Pb2-Sr2(Y/Ca)Cu308 [9], and Nd2-xCe;cCu04-5 [10] all show strong low-frequency absorption features in the non-Drude component of the a-6-plane optical conductivity. In each case the structure appears as a minimum in (7\((o). There are, however, significant material to material diff'erences in the number, magnitude, width, and position of the minima. For example, whereas YBa2-CU3O7-5 is dominated by one broad feature near 420 cm~^ [ Fig. 2(b)], Tl2Ba2CaCu208 shows two deep minima at 350 and 600 cm~^ [ Fig. 3(b)], while Pb2Sr2(Y/Ca)Cu308 exhibits two closely spaced sharper minima at 525 and 585 cm "^ and a third broader feature centered near 435 cm ~' [Fig. 2(a)].The relative independence of the position of this structure to both temperature [3] and level of doping [2] suggests that it is unrelated to the superconducting energy gap and that phonons are involved. It has been shown that a sharp level, interacting with an electronic continuum, results in a notchlike minimum in the spectrum of the continuum (an antiresonance) if the external field does not interact with the sharp transition [11,12]. This phenomenon, discussed by Fano for atoms [11] and Rice for phonons and an electronic continuum [12], is common in quasi-one-dimensional organic conductors, where charge [13] or spin density [14] waves break symmetry and couple the low-lying charge-transfer continuum to totally symmetric phonon modes not normally ir active [12]. In high-T^c superconductors, the interaction of the phonons is with bound (midinfrared) and not Drude-like