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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 10 — May. 19, 2014
  • pp: 11804–11811

Two dimensional analysis of finite size high-contrast gratings for applications in VCSELs

Anjin Liu, Werner Hofmann, and Dieter Bimberg  »View Author Affiliations


Optics Express, Vol. 22, Issue 10, pp. 11804-11811 (2014)
http://dx.doi.org/10.1364/OE.22.011804


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Abstract

2-dimensional simulations of high-contrast gratings (HCGs) of finite size are carried out, targeting at their applications in vertical-cavity surface-emitting lasers (VCSELs). Finite HCGs show a very different behavior from infinite grating ones. The reflectivity of a finite HCG strongly depends on the HCG size and the source size. Our simulation results predict finite reflectivity and transmission values, well consistent with reported experimental results. The band of high reflectivity (>99.5%) of finite HCGs is less broad as compared to the infinite case. Losses into a guided mode excited in the HCG plane are identified as being at the root. This guided mode is excited due to the nonzero angular components in the finite source size, and greatly enhances the transmission and the light leakage from the slab. In addition, the simulation results show that the details of the finite HCG can shape the output beam, whilst a Gaussian-like reflected wave is typically achieved. Our simulations can explain the current discrepancies between numerical predictions of reflectivities approaching 100% and working HCG-VCSELs showing finite reflectivities and nearly Gaussian-like output. Consequently, our analysis of finite HCGs is indispensable for HCG-VCSEL design.

© 2014 Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(050.6624) Diffraction and gratings : Subwavelength structures
(140.7260) Lasers and laser optics : Vertical cavity surface emitting lasers

ToC Category:
Diffraction and Gratings

History
Original Manuscript: February 18, 2014
Revised Manuscript: March 24, 2014
Manuscript Accepted: March 24, 2014
Published: May 7, 2014

Citation
Anjin Liu, Werner Hofmann, and Dieter Bimberg, "Two dimensional analysis of finite size high-contrast gratings for applications in VCSELs," Opt. Express 22, 11804-11811 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-10-11804


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