Remote excitation and emission of two-photon luminescence and second-harmonic generation are observed in micrometer long gold rod optical antennas upon local illumination with a tightly focused near-infrared femtosecond laser beam. We show that the nonlinear radiations can be emitted from the entire antenna and the measured far-field angular patterns bear the information regarding the nature and origins of the respective nonlinear processes. We demonstrate that the nonlinear responses are transported by the propagating surface plasmon at excitation frequency, enabling thereby polariton-mediated tailoring and design of nonlinear responses. 78.67.Qa, 78.67.Uh, 78.60.Lc, 42.65.Ky Optical antennas are pervasive devices to control spatial distribution of light on sub-diffraction length scales [1][2][3]. Concurrently it is realized that field enhancing properties of underlying surface plasmon (SP) resonances may foster much needed nonlinear behaviors to improve nanoscale light management [4][5][6]. A nonlinear optical antenna combines the functionalities of linear devices (extreme light concentration, tailoring of spatial and phase distributions, directivity of emission, etc) with the benefits of nonlinear optical effects, such as frequency conversion [7], mixing [8], ultrafast switching, modulation [9, 10] and self-action effects [11,12], to name just a few. Nonlinear responses are notably intricate and a comprehensive theory of nonlinear plasmonics is still underway. To date the most extensively elaborated are harmonic generation, four-wave mixing and multi-photon luminescence at the single optical nanoantenna level [13][14][15][16][17][18][19][20][21][22]. It has been repeatedly demonstrated that nonlinear spectral and intensity responses in plasmonic antennas are largely determined by the localized SP resonances at the frequencies of the driving optical fields [5,[23][24][25]. In spatially extended plasmonic objects, point-and-probe nonlinear scanning microscopy revealed the importance of the supported SP modal landscape [26][27][28][29][30], suggesting that the nonlinear responses may bear the signatures of the SP mode spatial extension. It is this effect that we address in this letter.To this aim, we discuss two nonlinear processes -twophoton luminescence (TPL) and second-harmonic generation (SHG) -from gold rod optical antennas upon local illumination with a tightly focused femtosecond nearinfrared laser beam. We show that in this type of structures, nonlinear confocal TPL and SHG mappings are ineffective when it comes to discerning differences between these two processes. The variations between incoherent TPL and coherent SHG are unambiguously revealed in spectrally filtered angular distributions measured in Fourier and image planes. Importantly, we demonstrate that nonlinear conversions of the incident electromagnetic energy are not restricted to the excitation area but are spatially delocalized along the entire structure. We argue that nonlinear optical transport is mediated by a propagating SP at the ex...