Multiple scattering and the density distribution of a Cs MOT

doi:10.1364/OPEX.13.009672

Optics Express

Editor: Michael Duncan
Vol. 13, Iss. 24 — Nov. 28, 2005
pp: 9672–9682

Multiple scattering and the density distribution of a Cs MOT

K. Overstreet, P. Zabawa, J. Tallant, A. Schwettmann, and J. Shaffer »View Author Affiliations

Optics Express, Vol. 13, Issue 24, pp. 9672-9682 (2005)
http://dx.doi.org/10.1364/OPEX.13.009672

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Abstract
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References (22)
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Abstract

Multiple scattering is studied in a Cs magneto-optical trap (MOT). We use two Abel inversion algorithms to recover density distributions of the MOT from fluorescence images. Deviations of the density distribution from a Gaussian are attributed to multiple scattering.

OCIS Codes
(020.0020) Atomic and molecular physics : Atomic and molecular physics
(140.3320) Lasers and laser optics : Laser cooling

ToC Category:
Research Papers

History
Original Manuscript: October 18, 2005
Revised Manuscript: October 12, 2005
Published: November 28, 2005

Citation
K. Overstreet, P. Zabawa, J. Tallant, A. Schwettmann, and J. Shaffer, "Multiple scattering and the density distribution of a Cs MOT," Opt. Express 13, 9672-9682 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-24-9672

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References

D. W. Sesko, T. G. Walker and C. E. Wieman, “Behavior of neutral atoms in a spontaneous force trap,” J. Opt. Soc. Am. B 8, 946 (1991). [CrossRef]
C. G. Townsend, N. H. Edwards, C. J. Cooper, K. P. Zetie, C. J. Foot, A. M. Steane, P. Szriftgiser, H. Perrin and J. Dalibard, “Phase-space density in the magneto-optical trap,” Phys. Rev. A 52, 1423 (1995). [CrossRef] [PubMed]
M. Drewsen, P. Laurent, A. Nadir, G. Santarelli, A. Clairon, Y. Castin, D. Grison and C. Salomon, “Investigation of sub-Doppler cooling effects in a cesium magneto-optical trap,” Appl. Phys. B 59, 283 (1994). [CrossRef]
S. Grego, M. Colla, A. Fioretti, J. H. Muller, P. Verkerk and E. Arimondo, “A cesium magneto-optical trap for cold collision studies,” Opt. Commun. 132, 519 (1996). [CrossRef]
C. Gabbanini, A. Evangelista, S. Gozzini, A. Lucchesini, A. Fioretti, J. H. Muller, M. Colla and E. Arimondo, “Scaling laws in magneto-optical traps,” Europhys. Lett. 37, 251 (1997). [CrossRef]
A. Vorozcovs, M. Weel, S. Beattie, S. Cauchi and A. Kumarakrishnan, “Measurements of temperature scaling laws in an optically dense magneto-optical trap,” J. Opt. Soc. Am. B 22, 943 (2005). [CrossRef]
C. J. Dasch, “One-dimensional tomography: a comparison of Abel, onion peeling, and filtered backprojection methods,” Appl. Opt. 31, 1146 (1992). [CrossRef] [PubMed]
R. N. Strickland and D. W. Chandler, “Reconstruction of an axissymmetric image from its blurred and noisy projection,” Appl. Opt. 30, 1811 (1991). [CrossRef] [PubMed]
L. M. Smith, D. R. Keefer and S. I. Sudharsanan, “Abel Inversion Using Transform Techniques,” J. Quant. Spect. Radiat. Transfer 39, 367 (1988). [CrossRef]
V. Dribinski, A. Osssadtchi, V. A. Mandelshtam and H. Reisler, “Reconstruction of Abel-transformed images: The Gaussian basis-set expansion Abel transform method,” Rev. Sci. Instrum. 73, 2634 (2002). [CrossRef]
K. R. Overstreet, J. Franklin and J. P. Shaffer, “Zeeman effect spectroscopically locked Cs diode laser system for atomic physics,” Rev. Sci. Instrum. 75, 4749 (2004). [CrossRef]
G. Hillenbrand, C. J. Foot and K. Burnett, “Heating due to long-range photon exchange interactions between cold atoms,” Phys. Rev. A 50, 1479 (1994). [CrossRef] [PubMed]
T.M. Brzozowski, M. Maczynska, M. Zawada, J. Zachorowski and W. Gawalik, “Time-of-flight measurement of the temperature of cold atoms for short trap-probe beam distances,” J. Opt. B: Quant. Semiclass. Opt., 4, 62 (2002). [CrossRef]
C.D. Wallace, T.P. Dinneen, K.Y.N. Tan, A. Kumarakrishnan, P.L. Gould and J. Javanainen, “Measurements of temperature and spring constant in a magneto-optical trap,” J. Opt. Soc. Am. B 11, 703 (1994). [CrossRef]
J.P. Shaffer, Ph.D. Thesis, University of Rochester (1999).
D. Hoffmann, P. Feng and T. Walker, “Measurements of Rb trap-loss collision spectra,” J. Opt. Soc. Am. B 11, 712 (1994). [CrossRef]
R. N. Bracewell, The Fourier Transform and Its Applications (McGraw-Hill, 2000).
S. Kawata and Y. Ichioka, “Iterative image restoration for linearly degraded images. II. Reblurring procedure,” J. Opt. Soc. Am. 70, 768 (1980). [CrossRef]
C. R. Gebhardt, T. P. Rakitzis, P. C. Samartzis, V. Ladopoulos and T. N. Kitsopoulos, “Slice imaging: A new approach to ion imaging and velocity mapping,” Rev. Sci. Instrum. 72, 2001 (2001). [CrossRef]
G. H. Golub, P. C. Hansen and D. P. O’Leary, “Tikhonov Regularization and Total Least Squares,” SIAM J. Matrix Anal. Appl. 21, 185 (1999). [CrossRef]
K. Lindquist, M. Stephens and C. Wieman, ”Experimental and Theoretical Study of the Vapor-cell Zeeman Optical Trap,” Phys. Rev. A , 4082 (1992). [CrossRef] [PubMed]
K. Iizuka, Engineering Optics (Springer-Verlag, 1987).

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[1] D. W. Sesko, T. G. Walker and C. E. Wieman, “Behavior of neutral atoms in a spontaneous force trap,” J. Opt. Soc. Am. B 8, 946 (1991). [CrossRef]

[2] C. G. Townsend, N. H. Edwards, C. J. Cooper, K. P. Zetie, C. J. Foot, A. M. Steane, P. Szriftgiser, H. Perrin and J. Dalibard, “Phase-space density in the magneto-optical trap,” Phys. Rev. A 52, 1423 (1995). [CrossRef] [PubMed]

[3] M. Drewsen, P. Laurent, A. Nadir, G. Santarelli, A. Clairon, Y. Castin, D. Grison and C. Salomon, “Investigation of sub-Doppler cooling effects in a cesium magneto-optical trap,” Appl. Phys. B 59, 283 (1994). [CrossRef]

[4] S. Grego, M. Colla, A. Fioretti, J. H. Muller, P. Verkerk and E. Arimondo, “A cesium magneto-optical trap for cold collision studies,” Opt. Commun. 132, 519 (1996). [CrossRef]

[5] C. Gabbanini, A. Evangelista, S. Gozzini, A. Lucchesini, A. Fioretti, J. H. Muller, M. Colla and E. Arimondo, “Scaling laws in magneto-optical traps,” Europhys. Lett. 37, 251 (1997). [CrossRef]

[6] A. Vorozcovs, M. Weel, S. Beattie, S. Cauchi and A. Kumarakrishnan, “Measurements of temperature scaling laws in an optically dense magneto-optical trap,” J. Opt. Soc. Am. B 22, 943 (2005). [CrossRef]

[7] C. J. Dasch, “One-dimensional tomography: a comparison of Abel, onion peeling, and filtered backprojection methods,” Appl. Opt. 31, 1146 (1992). [CrossRef] [PubMed]

[8] R. N. Strickland and D. W. Chandler, “Reconstruction of an axissymmetric image from its blurred and noisy projection,” Appl. Opt. 30, 1811 (1991). [CrossRef] [PubMed]

[9] L. M. Smith, D. R. Keefer and S. I. Sudharsanan, “Abel Inversion Using Transform Techniques,” J. Quant. Spect. Radiat. Transfer 39, 367 (1988). [CrossRef]

[10] V. Dribinski, A. Osssadtchi, V. A. Mandelshtam and H. Reisler, “Reconstruction of Abel-transformed images: The Gaussian basis-set expansion Abel transform method,” Rev. Sci. Instrum. 73, 2634 (2002). [CrossRef]

[11] K. R. Overstreet, J. Franklin and J. P. Shaffer, “Zeeman effect spectroscopically locked Cs diode laser system for atomic physics,” Rev. Sci. Instrum. 75, 4749 (2004). [CrossRef]

[12] G. Hillenbrand, C. J. Foot and K. Burnett, “Heating due to long-range photon exchange interactions between cold atoms,” Phys. Rev. A 50, 1479 (1994). [CrossRef] [PubMed]

[13] T.M. Brzozowski, M. Maczynska, M. Zawada, J. Zachorowski and W. Gawalik, “Time-of-flight measurement of the temperature of cold atoms for short trap-probe beam distances,” J. Opt. B: Quant. Semiclass. Opt., 4, 62 (2002). [CrossRef]

[14] C.D. Wallace, T.P. Dinneen, K.Y.N. Tan, A. Kumarakrishnan, P.L. Gould and J. Javanainen, “Measurements of temperature and spring constant in a magneto-optical trap,” J. Opt. Soc. Am. B 11, 703 (1994). [CrossRef]

[15] J.P. Shaffer, Ph.D. Thesis, University of Rochester (1999).

[16] D. Hoffmann, P. Feng and T. Walker, “Measurements of Rb trap-loss collision spectra,” J. Opt. Soc. Am. B 11, 712 (1994). [CrossRef]

[17] R. N. Bracewell, The Fourier Transform and Its Applications (McGraw-Hill, 2000).

[18] S. Kawata and Y. Ichioka, “Iterative image restoration for linearly degraded images. II. Reblurring procedure,” J. Opt. Soc. Am. 70, 768 (1980). [CrossRef]

[19] C. R. Gebhardt, T. P. Rakitzis, P. C. Samartzis, V. Ladopoulos and T. N. Kitsopoulos, “Slice imaging: A new approach to ion imaging and velocity mapping,” Rev. Sci. Instrum. 72, 2001 (2001). [CrossRef]

[20] G. H. Golub, P. C. Hansen and D. P. O’Leary, “Tikhonov Regularization and Total Least Squares,” SIAM J. Matrix Anal. Appl. 21, 185 (1999). [CrossRef]

[21] K. Lindquist, M. Stephens and C. Wieman, ”Experimental and Theoretical Study of the Vapor-cell Zeeman Optical Trap,” Phys. Rev. A , 4082 (1992). [CrossRef] [PubMed]

[22] K. Iizuka, Engineering Optics (Springer-Verlag, 1987).

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Multiple scattering and the density distribution of a Cs MOT