2005
DOI: 10.1007/s11082-005-1165-9
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Modeling of the polarization behavior of elliptical surface-relief VCSELs

Abstract: We undertake a theoretical study of the polarization behavior and mode structure of VerticalCavity Surface-Emitting Lasers (VCSELS) with an elliptical surface relief. The aim of the relief is twofold, first to enhance the single mode operation by introducing spatially distributed losses, and second, to enhance polarization stability by making these losses anisotropic. First, we use an analytical variational approach, for the two fundamental VCSEL modes within a Gaussian and weak guidance approximation. As a se… Show more

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Cited by 12 publications
(3 citation statements)
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“…We also take into account the small birefringence Δn =2•10 -4 of the CC-VCSEL, by taking nx-ny= Δn for all of the layers except the two oxidized layers. Such small birefringence is typical for GaAs-based VCSELs, due to the small residual stress between the [110] and [ ] crystallographic directions [14][15][16]. It results in wavelength separation of the same lateral modes with orthogonal x and y polarizations.…”
Section: Cc-vcsel Structure and Numerical Modelmentioning
confidence: 99%
“…We also take into account the small birefringence Δn =2•10 -4 of the CC-VCSEL, by taking nx-ny= Δn for all of the layers except the two oxidized layers. Such small birefringence is typical for GaAs-based VCSELs, due to the small residual stress between the [110] and [ ] crystallographic directions [14][15][16]. It results in wavelength separation of the same lateral modes with orthogonal x and y polarizations.…”
Section: Cc-vcsel Structure and Numerical Modelmentioning
confidence: 99%
“… 18 . Going a bit further, an anisotropic stress applied onto a quantum well gain medium induces polarization dependent variations of both the gain and the refractive index 19 21 , which in turn directly impacts the nonlinear polarization dynamics of the laser itself 22 . Although this approach could lead to a more complex system of equations as those used in ref.…”
Section: Triggering Polarization Chaos Through Anisotropic Strainmentioning
confidence: 99%
“…Recently we have extensively used the plane-wave based methods in other vectorial photonic calculations including modal modeling of photonic crystal fibers (PCF), 16 PCFs with Bragg gratings, 17 VCSELs, 18 and 3D photonic layered structures. 19 The common advantage of all these plane-wave methods is that they operate in the frequency domain and are applicable to dispersive, lossy, metallic, active, magnetic, as well as negative index materials without any modifications.…”
Section: Layered Structuresmentioning
confidence: 99%