Theory of vertical cavity surface emitting lasers with external feedback

Single-mode high-power emission from a single VCSEL can be achieved by means of mode control in an external resonator. A problem arises how to analyse interference between wave field coming from external resonator to VCSEL structure. Analytical approach is formulated allowing for simplified description of the system. Numerical approach is based on 3-D bi-directional beam propagation method. Modal content and discrimination of higher-order modes in passive resonator are examined. Besides, above threshold operation of optical modes is simulated using multiple iterations. A method based on functions of Krylov's subspace, is developed to find a number of optical modes in a VCSEL with gain and index distributions established by the oscillating mode. In calculations, both Fourier and space variable descriptions of beam propagation are combined. This approach allows us to evaluate critical conditions for single-mode operation.

[1]  M. Kicherer,et al.  Improving single-mode VCSEL performance by introducing a long monolithic cavity , 2000, IEEE Photonics Technology Letters.

[2]  John E. Bowers,et al.  Modal reflection of quarter-wave mirrors in vertical-cavity lasers , 1993 .

[3]  Govind P. Agrawal,et al.  Effects of optical feedback on static and dynamic characteristics of vertical-cavity surface-emitting lasers , 1997 .

[4]  Rainer Michalzik,et al.  4.8 mW singlemode oxide confined top-surface emitting vertical-cavity laser diodes , 1997 .

[5]  John G. McInerney,et al.  Novel 980-nm and 490-nm light sources using vertical-cavity lasers with extended coupled cavities , 2003, SPIE OPTO.

[6]  H. Unold,et al.  Theoretical interpretation of the enhanced single-mode stability in extended cavity VCSELs , 2002 .

[7]  Anatoly P. Napartovich,et al.  Modal characteristics of 2D antiguided VCSEL arrays , 2002, SPIE OPTO.

[8]  B. E. Hammons,et al.  Leaky mode vertical-cavity lasers using cavity resonance modification , 1998 .

[9]  A. Valle,et al.  Polarization selection and sensitivity of external cavity vertical-cavity surface-emitting laser diodes , 1998, IEEE Photonics Technology Letters.

[10]  D. Deppe,et al.  Cavity-induced antiguiding in a selectively oxidized vertical-cavity surface-emitting laser , 1998, IEEE Photonics Technology Letters.

[11]  Tae-Woo Lee,et al.  Modal characteristics of ARROW-type vertical-cavity surface-emitting lasers , 2001, IEEE Photonics Technology Letters.

[12]  K. Kojima,et al.  Influence of external optical feedback on threshold and spectral characteristics of vertical-cavity surface-emitting lasers , 1994, IEEE Photonics Technology Letters.

[13]  James R. Leger,et al.  Micro-optics in VCSEL and solid state laser resonators , 1998, Photonics West.

[14]  Active-cavity vertical-cavity surface-emitting laser eigenmodes with simple analytic representation , 2001 .

[15]  A. Mooradian,et al.  Scalable high‐power optically pumped GaAs laser , 1991 .

[16]  Nikolay N. Elkin,et al.  Near-diffraction-limited coherent emission from large aperture antiguided vertical-cavity surface-emitting laser arrays , 2004 .

[17]  Delai Zhou,et al.  High-power single-mode antiresonant reflecting optical waveguide-type vertical-cavity surface-emitting lasers , 2002 .

[18]  James Demmel,et al.  Applied Numerical Linear Algebra , 1997 .

[19]  A. Mooradian,et al.  Design and characteristics of high-power (>0.5-W CW) diode-pumped vertical-external-cavity surface-emitting semiconductor lasers with circular TEM/sub 00/ beams , 1999 .

[20]  C. Caneau,et al.  Single-mode, passive antiguide vertical cavity surface emitting laser , 1995 .

[21]  G. R. Hadley,et al.  Effective index model for vertical-cavity surface-emitting lasers. , 1995, Optics letters.