“…Beginning from the first theoretical study of erbium as a candidate for cooling and trapping [6], experimental studies on frequency stabilization using atomic transition lines in erbium have been performed. The techniques of frequency modulation spectroscopy [15], where multiple frequency components of a probe beam interfere and produce a demodulated error signal, and modulation transfer spectroscopy [16], where a background free error signal is generated by an induced four-wave mixing process [17], have been explored previously. For the near-ultraviolet (near-UV) transitions of the lanthanides, which feature very large natural linewidths, the technique of polarization spectroscopy offers a simplified, modulation-free alternative that can achieve the necessary levels of laser stability.…”