By using a new, delayed-heterodyne photon-echo technique, we have obtained a spectral resolving power of 1.2\ifmmode\times\else\texttimes\fi{}
1011, measuring a 2.0-kHz linewidth (half width at half maximum) for the 6105-\AA{} $^{1}D_{2}\ensuremath{\leftrightarrow}^{3}H_{4}$ transition of YAl
O3:
Pr3+ in an external magnetic field. This appears to be the highest resolution ever obtained in optical spectroscopy. Measurements were also made on the corresponding transition of La
F3:
Pr3+ giving a linewidth of 5 kHz. Optical free induction decay gave incorrect results (i.e., significantly broader linewidths).
We describe and demonstrate a method for performing ultrahigh-resolution optical spectroscopy in the time domain which utilizes modulations in the intensity of the two-pulse photon echo in the presence of a perturbation that splits the optical transition frequencies of two or more subgroups of ions. The method is applied to a measurement of the pseudo-Stark effect in alexandrite and
YAlO3:
Er3+. Stark shifts of \ensuremath{\simeq}100 kHz are observed, but the technique is capable of resolutions 10 kHz in some systems.