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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 23 — Nov. 18, 2013
  • pp: 28134–28153

Compact representation of the spatial modes of a phase-sensitive image amplifier

Muthiah Annamalai, Nikolai Stelmakh, Prem Kumar, and Michael Vasilyev  »View Author Affiliations


Optics Express, Vol. 21, Issue 23, pp. 28134-28153 (2013)
http://dx.doi.org/10.1364/OE.21.028134


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Abstract

We compute the eigenmodes of a spatially-broadband optical parametric amplifier with elliptical Gaussian pump and show that the well-amplified eigenmodes can be compactly represented by a low-dimensional subspace of the first few Laguerre- or Hermite-Gaussian (LG or HG, respectively) modes of an appropriate waist size. We also show that the first few eigenmodes are well matched to single LG or HG modes. For sufficiently large pump waists, the optimum waist size of the compact basis is in the vicinity of the geometric average of the pump waist size and the inverse spatial bandwidth of the nonlinear crystal in the parametric amplifier. The use of such compact representation can greatly simplify numerical computation of the spatial eigenmodes of the amplifier and thus lead to improving the experiments on traveling-wave image amplification and spatially-broadband vacuum squeezing.

© 2013 Optical Society of America

OCIS Codes
(190.4970) Nonlinear optics : Parametric oscillators and amplifiers
(270.6570) Quantum optics : Squeezed states

ToC Category:
Nonlinear Optics

History
Original Manuscript: August 23, 2013
Revised Manuscript: October 31, 2013
Manuscript Accepted: November 2, 2013
Published: November 8, 2013

Citation
Muthiah Annamalai, Nikolai Stelmakh, Prem Kumar, and Michael Vasilyev, "Compact representation of the spatial modes of a phase-sensitive image amplifier," Opt. Express 21, 28134-28153 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-23-28134


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