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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 8 — Apr. 11, 2011
  • pp: 7176–7189

Hamiltonian optics formalism for microring resonator structures with varying ring resonances

Xiaolan Sun, Zhenshan Yang, Xiaohong Liu, Chao Li, Yanhua Dong, Libin Xie, and J. E. Sipe  »View Author Affiliations

Optics Express, Vol. 19, Issue 8, pp. 7176-7189 (2011)

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We develop a Hamiltonian optics formalism to quantitatively analyze a recently proposed scheme for increasing the delay-time-bandwidth product for microring resonator structures with varying ring resonances [Yang and Sipe, Opt. Lett. 32, 918 (2007)]. This theory is formally compact, simple and physically intuitive. We compare this formalism with the more rigorous transfer matrix method, and conclude that the Hamiltonian optics formalism correctly gives the average dispersion, which essentially determines the group delay as well as the dispersive distortion for pulses in the ps regime or longer.

© 2011 Optical Society of America

OCIS Codes
(130.3120) Integrated optics : Integrated optics devices
(200.4740) Optics in computing : Optical processing
(210.0210) Optical data storage : Optical data storage

ToC Category:
Integrated Optics

Original Manuscript: December 20, 2010
Revised Manuscript: February 15, 2011
Manuscript Accepted: February 22, 2011
Published: March 30, 2011

Xiaolan Sun, Zhenshan Yang, Xiaohong Liu, Chao Li, Yanhua Dong, Libin Xie, and J. E. Sipe, "Hamiltonian optics formalism for microring resonator structures with varying ring resonances," Opt. Express 19, 7176-7189 (2011)

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