From phase to amplitude modulation in transverse nonlinear optics

A.J. Scroggie, G. McCartney, J. Jeffers, G.L. Oppo

Research output: Chapter in Book/Report/Conference proceedingConference contribution book


Control of spatial light modulation is an important and useful technique in optical applications ranging from the manipulation of small particles to lithography. We show here that an input phase (amplitude) modulated beam can be effectively converted to an amplitude (phase) modulated output in a frequency converter such as the resonant optical parametric oscillator (OPO). This peculiar conversion property is, however, riot restricted to the OPO but applies to a wide variety of broad area nonlinear cavities. The slowly varying amplitudes of the pump A0(x,t) and signal A1(x,t) fields of a degenerate OPO at resonance, in the mean-field approximation, are described by: ∂tA0 = Γ[-A0 + Ee μcos(kx) - A1 2] + i∂x 2A0tA1 = -A1 + A0A1* + 2i∂x 2A 1 (1) where Γ is the ratio of the pump and signal cavity decay rates, the parameter n is the (complex) amplitude of the input modulations and is such that |μ| < < 1, while E is the un-modulated amplitude of the external pump field. Perturbative calculations show that full phase (amplitude) to amplitude (phase) modulation conversion from the pump to the signal field is achieved for a modulation wavevector kc given by kc 2 = √Γ(E-1) (kc 2 = √ΓE)

Original languageEnglish
Title of host publicationEQEC '05. European Quantum Electronics Conference, 2005.
Place of PublicationPiscataway, NJ
Number of pages1
ISBN (Print)0780389735, 9780780389731
Publication statusPublished - 10 Jan 2006
Event2005 European Quantum Electronics Conference, EQEC '05 - Munich, Germany
Duration: 12 Jun 200517 Jun 2005


Conference2005 European Quantum Electronics Conference, EQEC '05


  • nput phase modulated beam
  • amplitude modulated output
  • frequency converter
  • optical parametric oscillator (OPO)


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