The generation of second-and third-harmonic light with single-and dual-pitch periodically poled lithium niobate ridge waveguides for achieving a carrier-envelope-offset-locked frequency comb with low pulse energy is investigated. The wavelengths of both the secondand third-harmonic light converted by short-and long-wavelength components of supercontinuum spectra are precisely adjusted by selecting appropriate pitch size and controlling the temperature of the devices. The output powers of the second-and third-harmonic light are 9.1 and 4.8 µW, respectively, when using a 2/3-octave-wide supercontinuum light generated by a 1.2 nJ laser pulse at a repetition rate of 250 MHz.Introduction: A carrier-envelope-offset (CEO)-locked frequency comb with wide mode spacing (> 10 GHz) could be applied to future photonic networks, astronomical spectroscopy [1], and line-by-line optical pulse shaping [2]. The reported widest mode spacing of a CEO-locked frequency comb in the 1.5 µm band is 300 MHz [3], which is still too densely spaced to be spectrally resolved in a simple manner and thus not accessible for individual use. In addition, since laser sources with more than 10 GHz repetition rates typically have relatively long pulse durations and reduced pulse energy, it is difficult to generate octavesupercontinuum (SC) spectra as required for detecting a CEO frequency ( f 0 ) in a conventional f-to-2f self-referencing interferometer (SRI).Another way to detect f 0 is to use a 2f-to-3f SRI, which utilises the interference between second-harmonic (SH) light generated by the shorter-wavelength component of the SC spectra and third-harmonic (TH) light generated by the longer-wavelength component. The 2f-to-3f SRI requires only a 2/3-octave bandwidth of the SC spectra, which is easier to generate with a laser at a high repetition rate. On the other hand, the disadvantage of the 2f-to-3f SRI is the low efficiency of the TH conversion via two steps of the second-order nonlinear process. Although the CEO locking with the 2f-to-3f SRI has already been achieved in a modelocked Ti:Sappahire laser [4,5] and in a fibrelaser with high pulse energy [6], it has been a challenging task to achieve 2f-to-3f SRI locking in a laser at the telecommunications wavelength with low pulse energy because broadening mechanisms for generating SC light with highly nonlinear fibres generally induce excess noises [6,7]. To improve the signal-to-noise ratio in the TH light, it is strongly desirable to generate the TH light with high efficiency.