More than four orders of magnitude cavity-linewidth narrowing in a rare-earth-ion-doped crystal cavity, emanating from strong intra-cavity dispersion caused by off-resonant interaction with dopant ions is demonstrated. The dispersion profiles are engineered using optical pumping techniques creating significant semi-permanent but reprogrammable changes of the rare earth absorption profiles. Several cavity modes are shown within the spectral transmission window. Several possible applications of this phenomenon are discussed.PACS numbers: 42.50. Ct, 42.50.Pq, 42.79.Gn, 78.47.nd Cavity linewidth narrowing has been suggested to have great potential in many different areas such as laser stabilization [1, 2], high-resolution spectroscopy [2], enhanced light matter interaction and compressed optical energy [3]. We show more than four orders of magnitude cavity linewidth narrowing, which, to the best of our knowledge, is more than two orders of magnitude larger than demonstrated with other techniques. Previously 10 to 20 times linewidth narrowing has been shown using either EIT [4][5][6], and recently two orders of magnitude was shown using coherent population oscillation (CPO) in combination with a cavity dispersive effect [7]. We also demonstrate several cavity modes within the slow light transmission window, something which we are not aware of having been demonstrated using EIT or CPO. The present results are obtained using spectral hole-burning in rare-earth-ion doped crystals [8-10] and we discuss the properties and potential of slow light structures created with this method in these materials.In this paper, a cavity formed by depositing mirrors directly onto a praseodymium doped Y 2 SiO 5 crystal and (near) persistent spectral hole burning (PSHB) is employed to create a very strong dispersion. A sharp dispersion slope reduces the photon group velocity, and therefore increases the effective photon lifetime in the cavity compared to a non-dispersive cavity (some times referred to as cold cavity [11]).Generally the mode spacing in a Fabry-Pérot cavity, ∆ν, is given by [11] 2L (1) where c is the speed of light in vacuum, ν is the light frequency, n is the real part of the index of refraction (for the phase velocity), v g (ν) is the group velocity and n g (ν) is the index of refraction for the group velocity. For the present work it is useful to briefly analyse the mode spacing relation. The resonance condition for a Fabry-Pérot cavity of length L may be expressed as m(λ/2) = L, where m is an integer and the wavelength λ = c/(nν). ThusDifferentiating Eq. 2 givesDividing the left (right) hand side of Eq. 3 with the left (right) hand side of Eq. 2 yieldswhere n = n(ν) is a function of frequency. Normally when the frequency is changed δν/ν δn/n, but in the case of significant slow light effects n ν(dn/dν) and the second term on the right hand side in Eq. 4 is much larger than the first. Thus the cavity mode spacing is basically completely determined by the dispersion while the impact of the relative change in the freque...