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Understanding laser stabilization using spectral hole burning

Julsgaard, Brian LU ; Walther, Andreas LU ; Kröll, Stefan LU and Rippe, Lars LU (2007) In Optics Express 15(18). p.11444-11465
Abstract
There have recently been several studies of the performance of laser frequency stabilization using spectral holes in solids, instead of an external cavity, as a frequency reference. Here an analytical theory for Pound-Drever-Hall laser frequency stabilization using spectral hole-burning is developed. The interaction between the atomic medium and the phase modulated light is described using a linearized model of the Maxwell-Bloch equations. The interplay between the carrier and modulation sidebands reveals significant differences from the case of locking to a cavity. These include a different optimum modulation index, an optimum sample absorption, and the possibility to lock the laser in an inherent linear frequency drift mode. Spectral... (More)
There have recently been several studies of the performance of laser frequency stabilization using spectral holes in solids, instead of an external cavity, as a frequency reference. Here an analytical theory for Pound-Drever-Hall laser frequency stabilization using spectral hole-burning is developed. The interaction between the atomic medium and the phase modulated light is described using a linearized model of the Maxwell-Bloch equations. The interplay between the carrier and modulation sidebands reveals significant differences from the case of locking to a cavity. These include a different optimum modulation index, an optimum sample absorption, and the possibility to lock the laser in an inherent linear frequency drift mode. Spectral holes in solids can be permanent or transient. For the materials normally used, the dynamics and time scales of transient holes often depend on population relaxation processes between ground state hyperfine levels. These relaxation rates can be very different for different solid state materials. We demonstrate, using radio-frequency pumping, that the hyperfine population dynamics may be controlled and tailored to give optimum frequency stabilization performance. In this way also materials with initially non-optimum performance can be used for stabilization. The theoretical predictions regarding the inherent linear frequency drift is compared to experimental data from a dye laser stabilized to a spectral hole in a Pr3+: Y2SiO5 crystal. (C) 2007 Optical Society of America. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Optics Express
volume
15
issue
18
pages
11444 - 11465
publisher
OSA
external identifiers
  • wos:000249339800042
ISSN
1094-4087
language
English
LU publication?
yes
id
f14c8b6f-9d9e-4c59-9987-749546abc33b (old id 657022)
alternative location
http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-18-11444
date added to LUP
2007-12-13 14:32:13
date last changed
2016-04-16 02:47:36
@article{f14c8b6f-9d9e-4c59-9987-749546abc33b,
  abstract     = {There have recently been several studies of the performance of laser frequency stabilization using spectral holes in solids, instead of an external cavity, as a frequency reference. Here an analytical theory for Pound-Drever-Hall laser frequency stabilization using spectral hole-burning is developed. The interaction between the atomic medium and the phase modulated light is described using a linearized model of the Maxwell-Bloch equations. The interplay between the carrier and modulation sidebands reveals significant differences from the case of locking to a cavity. These include a different optimum modulation index, an optimum sample absorption, and the possibility to lock the laser in an inherent linear frequency drift mode. Spectral holes in solids can be permanent or transient. For the materials normally used, the dynamics and time scales of transient holes often depend on population relaxation processes between ground state hyperfine levels. These relaxation rates can be very different for different solid state materials. We demonstrate, using radio-frequency pumping, that the hyperfine population dynamics may be controlled and tailored to give optimum frequency stabilization performance. In this way also materials with initially non-optimum performance can be used for stabilization. The theoretical predictions regarding the inherent linear frequency drift is compared to experimental data from a dye laser stabilized to a spectral hole in a Pr3+: Y2SiO5 crystal. (C) 2007 Optical Society of America.},
  author       = {Julsgaard, Brian and Walther, Andreas and Kröll, Stefan and Rippe, Lars},
  issn         = {1094-4087},
  language     = {eng},
  number       = {18},
  pages        = {11444--11465},
  publisher    = {OSA},
  series       = {Optics Express},
  title        = {Understanding laser stabilization using spectral hole burning},
  volume       = {15},
  year         = {2007},
}