Radiation patterns of higher azimuthal order spatial modes from a concentric-circle-grating waveguide cavity using the volume-current method

IEEE Journal of Quantum Electronics

Volumn 34, Issue 12, 1998, Pages 2298-2307

  Olson, Craig ^a,c,d   Hall, Dennis G ^a,b,e,f,g,h  

^a UNIVERSITY OF ROCHESTER   (United States)

^b Rochester Theor Ctr Optical S   (United States)

^c GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^d IEEE   (United States)

^e UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^f SOUTHERN ILLINOIS UNIVERSITY EDWARDSVILLE   (United States)

^g UNIVERSITY OF TENNESSEE   (United States)

^h AMERICAN PHYSICAL SOCIETY   (United States)

Author keywords

Cavity perturbation methods; Gratings; Laser modes; Optical planar waveguides; Optical scattering; Semiconductor lasers; Surface emitting lasers

Indexed keywords

DIFFRACTION GRATINGS; LASER MODES; LIGHT SCATTERING; PERTURBATION TECHNIQUES; SEMICONDUCTOR LASERS; VECTORS; WAVE EQUATIONS;

CONCENTRIC CIRCLE GRATING WAVEGUIDES; SURFACE EMITTING LASERS; VOLUME CURRENT METHOD;

OPTICAL WAVEGUIDES;

EID: 0032292965     PISSN: 00189197     EISSN: None     Source Type: Journal    
DOI: 10.1109/3.736095     Document Type: Article

References (26)

1. C. Wu, M. Svilans, M. Fallahi, T. Makino, J. Glinski, C. Maritan, and C. Blaauw, "Optically pumped surface-emitting DFB GaInAsP/InP lasers with circular grating," Electron. Lett., vol. 27, pp. 1819-1820, 1991.
2. T. Erdogan, O. King, G. W. Wicks, D. G. Hall, E. H. Anderson, and M. J. Rooks, "Circularly symmetric operation of a concentric-circle-grating, surface-emitting, AlGaAs/GaAs quantum-well semiconductor laser," Appl. Phys. Lett., vol. 60, pp. 1921-1923, 1992.
3. C. Wu, M. Svilans, M. Fallahi, I. Templeton, T. Makino, J. Glinski, R. Maciejko, S. I. Najafi, and C. Maritan, "Room temperature operation of electrically pumped surface-emitting circular grating DBR laser," Electron. Lett., vol. 28, pp. 1037-1039, 1992.
4. M. Fallahi, M. Dion, F. Chatenoud, I. Templeton, K. A. McGreer, G. Champion, and R. Barber, "Low divergence electrically pumped circular grating surface-emitting DBR laser on an InGaAs/GaAs structure," Electron. Lett., vol. 29, pp. 1412-1414, 1993.
5. M. Fallahi, F. Chatenoud, M. Dion, I. Templeton, R. Barber, and J. Thompson, "Circular-grating surface-emitting distributed Bragg reflector lasers on an InGaAs-GaAs structure for 0.98-mm applications," IEEE J. Select. Topics Quantum Electron., vol. I, pp. 382-386, 1995.
6. T. Erdogan and D. G. Hall, "Circularly symmetric distributed feedback laser: Coupled mode treatment of TE vector fields," IEEE J. Quantum Electron., vol. 28, pp. 612-623, 1992.
7. T. Makino and C. Wu, "Circular grating DFB and DBR semiconductor lasers: Threshold current analysis," Opt. Commun., vol. 90, pp. 297-300, 1992.
8. O. King, T. Erdogan, G. W. Wicks, D. G. Hall, E. H. Anderson, M. J. Rooks, and D. Costello, "Curved grating fabrication techniques for surface-emitting distributed feedback lasers," J. Vac. Sci. Technol. B, vol. 10, pp. 2974-2978, 1992.
9. T. Erdogan, O. King, G. W. Wicks, D. G. Hall, C. L. Dennis, and M. J. Rooks, "Spatial modes of a concentric-circle-grating surface-emitting, AlGaAs/GaAs quantum well semiconductor laser," Appl. Phys. Lett., vol. 60, pp. 1773-1775, 1992.
10. R. H. Jordan and D. G. Hall, "Radiation from an annular grating on a planar optical waveguide," Appl. Phys. Lett., vol. 63, pp. 3423-3425, 1993.
11. _, "Radiation from concentric-circle grating, surface-emitting planar waveguides: The volume current method," Appl. Phys. Lett., vol. 64, pp. 3077-3079, 1994.
12. _, "Free-space azimuthal paraxial wave equation: The azimuthal Bessel-Gauss beam solution," Opt. Lett., vol. 19, pp. 427-429, 1994.
13. P. L. Greene and D. G. Hall, "Diffraction characteristics of the azimuthal Bessel-Gauss beam," J. Opt. Soc. Amer. A, vol. 13, pp. 962-966, 1996.
14. C. Olson, P. L Greene, G. W. Wicks, D. G. Hall, and S. Rishton, "Higher-order azimuthal spatial modes of concentric-circle-grating surface-emitting semiconductor lasers," Appl. Phys. Lett., vol. 72, pp. 1284-1286, 1998.
15. K. J. Kasunic and M. Fallahi, "Gain saturation in circular-grating distributed-feedback semiconductor lasers," J. Opt. Soc. Amer. B, vol. 14, pp. 2147-2152, 1997.
16. A. W. Snyder, "Excitation and scattering of modes on a dielectric or optical fiber," IEEE Trans. Microwave Theory Tech., vol. MTT-17, pp. 1138-1144, 1969.
17. A. W. Snyder, "Radiation losses due to variations of radius on dielectric or optical fibers," IFEE Trans. Microwave Theory Tech., vol. MTT-18, pp. 608-615, 1970.
18. I. A. White, "Radiation from bends in optical waveguides: The volume-current method" IEE J. Microwaves Opt. Acoustics, vol. 3, pp. 186-188, 1979.
19. M. Kuznetsov and H. A. Haus, "Radiation loss in dielectric waveguide structures by the volume current method," IEEE J. Quantum Electron., vol. QE-19, pp. 1505-1514, 1983.
20. S. C. Hill, H. I. Saleheen, and K. A. Fuller, "Volume current method for modeling light scattering by inhomogenously perturbed spheres," J. Opt. Soc. Amer. A. vol. 12, pp. 905-915, 1995.
21. W. C. Chew, Waves and Fields in Inhomogeneous Media. New York: Van Nostrand Rienhold, 1990.
22. H. Kogelnik, "Theory of optical waveguides," in Guided-Wave Optoelectronics, T. Tamir, Ed., 2nd ed. New York: Springer-Verlag, 1990, p. 83.
23. D. G. Hall, "Coupled-Amplitude equations via a Green's-function technique," Amer. J. Phys., vol. 61, pp. 44-49, 1993.
24. R. H. Jordan, D. G. Hall, O. King, G. Wicks, and S. Rishton, "Lasing behavior of circular grating surface emitting semiconductor lasers," J. Opt. Soc. Amer. B, vol. 14, pp. 449-453, 1997.
25. C. H. Henry, R. F. Kazarinov, R. A. Logan, and R. Yen, "Observation of destructive interference in the radiation loss of second-order distributed feedback lasers," IEEE J. Quantum Electron., vol. QE-21, pp. 151-153, 1985.
26. G. Arfken, Mathematical Methods for Physicists, 3rd ed. San Diego, CA: Academic, 1985.