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Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 38, Iss. 18 — Sep. 15, 2013
  • pp: 3514–3517

Macroscopic response in active nonlinear photonic crystals

Gandhi Alagappan, Sajeev John, and Er Ping Li  »View Author Affiliations

Optics Letters, Vol. 38, Issue 18, pp. 3514-3517 (2013)

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We derive macroscopic equations of motion for the slowly varying electric field amplitude in three-dimensional active nonlinear optical nanostructures. We show that the microscopic Maxwell equations and polarization dynamics can be simplified to a macroscopic one-dimensional problem in the direction of group velocity. For a three-level active material, we derive the steady-state equations for normal mode frequency, threshold pumping, nonlinear Bloch mode amplitude, and lasing in photonic crystals. Our analytical results accurately recapture the results of exact numerical methods.

© 2013 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(050.5298) Diffraction and gratings : Photonic crystals

ToC Category:
Optical Devices

Original Manuscript: May 21, 2013
Revised Manuscript: July 6, 2013
Manuscript Accepted: August 12, 2013
Published: September 5, 2013

Gandhi Alagappan, Sajeev John, and Er Ping Li, "Macroscopic response in active nonlinear photonic crystals," Opt. Lett. 38, 3514-3517 (2013)

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