Test of the FDTD accuracy in the analysis of the scattering resonances associated with high-Q whispering-gallery modes of a circular cylinder

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 25, Issue 5, 2008, Pages 1169-1173

  Boriskin, Artem V ^a   Boriskina, Svetlana V ^b   Rolland, Anthony ^c   Sauleau, Ronan ^c   Nosich, Alexander I ^a  

^a A USIKOV INSTITUTE OF RADIO PHYSICS AND ELECTRONICS   (Ukraine)

^b Boston University   (United States)

^c UNIVERSITÉ DE RENNES 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CIRCULAR CYLINDERS; DIELECTRIC DEVICES; ELECTRIC LINES; FINITE DIFFERENCE TIME DOMAIN METHOD; Q FACTOR MEASUREMENT; RESONANCE; TIME DOMAIN ANALYSIS;

COMPUTATIONAL ERROR; DIELECTRIC CYLINDER; FAR-FIELD SCATTERING; FDTD ALGORITHM; FINITE -DIFFERENCE TIME DOMAINS (FDTD); MAGNETIC LINES; SCATTERING RESONANCE; SERIES SOLUTIONS;

WHISPERING GALLERY MODES;

EID: 51749111143     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.25.001169     Document Type: Article

References (28)

1. A. B. Matsko and V. S. Ilchenko, "Optical resonators with whispering-gallery modes-Part I: basics," IEEE J. Sel. Top. Quantum Electron. 12, 3-14 (2006).
2. V. S. Ilchenko and A. B. Matsko, "Optical resonators with whispering-gallery modes-Part II: applications," IEEE J. Sel. Top. Quantum Electron. 12, 15-32 (2006).
3. A. I. Nosich, E. I. Smotrova, S. V. Boriskina, T. M. Benson, and P. Sewell, "Trends in microdisk laser research and linear optical modelling," Opt. Quantum Electron. (to be published); available at http://www.springerlink.com/content/x74382234u02608v/.
4. S. V. Boriskina, T. M. Benson, P. Sewell, and A. I. Nosich, "Directional emission, increased free spectral range, and mode Q-factors of 2-D wavelength-scale optical microcavity structures," IEEE J. Sel. Top. Quantum Electron. 12, 1175-1182 (2006).
5. P. W. Evans and N. Holonyak Jr., "Room temperature photopump laser operation of native-oxide-defined coupled GaAs-AlAs superlattice microrings," Appl. Phys. Lett. 69, 2391-2393 (1996).
6. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupledresonator optical waveguide: a proposal and analysis," Opt. Lett. 24, 711-713 (1999).
7. E. I. Smotrova, A. I. Nosich, T. M. Benson, and P. Sewell, "Threshold reduction in a cyclic photonic molecule laser composed of identical microdisks with whispering-gallery modes," Opt. Lett. 31, 921-923 (2006).
8. P.-T. Lee, T.-W. Lu, J.-H. Fan, and F.-M. Tsai, "High quality factor microcavity lasers realized by circular photonic crystal with isotropic photonic band gap effect," Appl. Phys. Lett. 90, 151125 (2007).
9. S. V. Pishko, P. D. Sewell, T. M. Benson, and S. V. Boriskina, "Efficient analysis and design of low-loss WGM coupled resonator optical waveguide bends," J. Lightwave Technol. 25, 2487-2494 (2007).
10. K. L. Shlager and J. B. Schneider, "A selective survey of the finite-difference time-domain literature," IEEE Antennas Propag. Mag. 37, 39-57 (1995).
11. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd ed. (Artech House, 2005).
12. G. L. Hower, R. G. Olsen, J. D. Earls, and J. B. Schneider, "Inaccuracies in numerical calculations of scattering near natural frequencies of penetrable objects," IEEE Trans. Antennas Propag. 41, 982-986 (1993).
13. K. Phan-Huy, A. Morand, D. Amans, and P. Benech, "Analytical study of the whispering-gallery modes in twodimensional microgear cavity using coupled-mode theory," J. Opt. Soc. Am. B 22, 1793-1804 (2005).
14. Y. Liu, C. D. Sarrisa, and G. V. Eleftheriades, "Triangularmesh- based FDTD analysis of 2-D plasmonic structures supporting backward waves at optical frequencies," J. Lightwave Technol. 25, 938-946 (2007).
15. E. I. Smotrova, A. I. Nosich, T. Benson, and P. Sewell, "Cold-cavity thresholds of microdisks with uniform and non-uniform gain: quasi-3D modeling with accurate 2D analysis," IEEE J. Sel. Top. Quantum Electron. 11, 1135-1142 (2005).
16. D. Marcuse, Light Transmission Optics, Computer Science and Engineering Series (Van Nostrand Reinhold Electrical, 1989).
17. S. C. Hagness, D. Rafizadeh, S. T. Ho, and A. Taflove, "FDTD microcavity simulations: design and experimental realization of waveguide-coupled single-mode ring and whispering-gallery-mode disk resonators," J. Lightwave Technol. 15, 2154-2165 (1997).
18. A. Sakai and T. Baba, "FDTD simulation of photonic devices and circuits based on circular and fan-shaped microdisks," J. Lightwave Technol. 17, 1493-1499 (1999).
19. Y. Liu and C. D. Sarris, "Fast time-domain simulation of optical waveguide structures with a multilevel dynamically adaptive mesh refinement FDTD approach," J. Lightwave Technol. 24, 3235-3248 (2006).
20. K. S. Yee, "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Trans. Antennas Propag. 14, 302-307 (1966).
21. L.-P. Berenger, "Perfectly matched layer for the FDTD solution of wave-structure interaction problem," IEEE Trans. Antennas Propag. 44, 110-118 (1996).
22. A. V. Boriskin, A. Rolland, R. Sauleau, and A. I. Nosich, "Assessment of FDTD accuracy in the compact hemielliptic dielectric lens antenna analysis," IEEE Trans. Antennas Propag. 56, 758-764 (2008).
23. Y.-Z. Huang, Q.-Y. Lu, W.-H. Guo, and L.-J. Yu, "Analysis of mode characteristics for equilateral triangle semiconductor microlasers with imperfect boundaries," IEE Proc.: Optoelectron. 151, 202-204 (2004).
24. A. V. Boriskin and A. I. Nosich, "Whispering-gallery and Luneburg lens effects in a beam-fed circularly-layered dielectric cylinder," IEEE Trans. Antennas Propag. 50, 1245-1249 (2002).
25. S. Rondineau, A. I. Nosich, J.-P. Daniel, M. Himdi, and S. S. Vinogradov, "MAR-based analysis of a spherical-circular printed antenna with a finite ground excited by an axiallysymmetric probe," IEEE Trans. Antennas Propag. 52, 1270-1280 (2004).
26. S.-Y. Lee, M. S. Kurdoglyan, S. Rim, and C.-M. Kim, "Resonance patterns in a stadium-shaped microcavity," Phys. Rev. A 70, 023809 (2004).
27. A. V. Boriskin, A. I. Nosich, S. V. Boriskina, T. M. Benson, P. Sewell, and A. Altintas, "Lens or resonator?-Electromagnetic behavior of an extended hemielliptic lens for a sub-mm wave receiver," Microwave Opt. Technol. Lett. 43, 515-518 (2004).
28. A. V. Boriskin, G. Godi, R. Sauleau, and A. I. Nosich, "Small hemielliptic dielectric lens antenna analysis in 2-D: boundary integral equations versus geometrical and physical optics," IEEE Trans. Antennas Propag. 56, 485-492 (2008).