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

Muthiah Annamalai, Nikolai Stelmakh, Prem Kumar, Michael Vasilyev

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We compute the eigenmodes of a spatially-broadband optical parametric amplifier with elliptical Gaussian pump and show that the wellamplified 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.

Original languageEnglish (US)
Pages (from-to)28134-28153
Number of pages20
JournalOptics Express
Issue number23
StatePublished - Nov 18 2013

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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