Temporal coupled-mode theory and the presence of non-orthogonal modes in lossless multimode cavities

IEEE Journal of Quantum Electronics

Volumn 40, Issue 10, 2004, Pages 1511-1518

  Suh, Wonjoo ^a   Wang, Zheng ^b   Fan, Shanhui ^b  

^a Stanford University   (United States)

^b STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAVITY RESONATORS; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; LIGHT MODULATION; LIGHT TRANSMISSION; OPTICAL FILTERS; OPTICAL SWITCHES; RESONANCE; TIME DOMAIN ANALYSIS; TRANSPORT PROPERTIES;

COUPLED MODE THEORY; MULTIMODE CAVITIES; MULTIMODE OPTICAL RESONATORS;

OPTICAL RESONATORS;

EID: 5144229077     PISSN: 00189197     EISSN: None     Source Type: Journal    
DOI: 10.1109/JQE.2004.834773     Document Type: Article

References (18)

1. H. A. Haus and W. Huang, "Coupled-mode theory," Proc. IEEE, vol. 79, pp. 1505-1518, Oct. 1991.
2. P. T. Leung, W. M. Suen, C. P. Sun, and K. Young, "Waves in open systems via a biorthogonal basis," Phys. Rev. E, vol. 57, pp. 6101-6104, May 1998.
3. P. Grangier and J. E. Poizat, "Quantum derivation of the excess noise factor in lasers with nonorthogonal eigenmodes," Eur. J. Phys. D, vol. 7, pp. 99-105, 1999.
4. Y. J. Cheng, C. G. Fanning, and A. E. Siegman, "Experimental observation of a large excess quantum noise factor in the linewidth of a laser oscillator having nonorthogonal modes," Phys. Rev. Lett., vol. 77, pp. 627-630, July 1996.
5. K. Petermann, "Calculated spontaneous emission factor for double-heterostructure injection lasers with gain-induced waveguiding," IEEE J. Quantum Electron., vol. 15, pp. 566-570, July 1979.
6. H. A. Haus and S. Kawakami, "On the 'excess spontaneous emission factor' in gain-guided laser amplifiers," IEEE J. Quantum Electron., vol. QE-21, pp. 63-69, Jan. 1985.
7. H. A. Haus, Waves and Fields in Optoelectronics. Englewood Cliffs, NJ: Prentice-Hall, 1984.
8. R. W. Wood, "On the remarkable case of uneven distribution of a light in a diffractived grating spectrum," Philos. Mag., vol. 4, pp. 396-402, June 1902.
9. U. Fano, "The theory of anomalous diffraction gratings and of quasistationary waves on metallic surfaces (Sommerfeld's waves)," J. Opt. Soc. Amer. A, vol. 31, pp. 213-222, Mar. 1941.
10. A. Hessel and A. A. Oliner, "A new theory of Wood's anomalies on optical gratings," Appl. Opt., vol. 4, pp. 1275-1297, 1965.
11. S. Fan, W. Suh, and J. D. Joannopoulos, "Temporal coupled mode theory for Fano resonance in optical resonators," J. Opt. Soc. Amer. A, vol. 20, pp. 569-572, Mar. 2003.
12. J. L. Goldberg, Matrix Theory With Applications. New York: McGraw-Hill, 1992.
13. S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, "Channel drop tunneling through localized states," Phys. Rev. Lett., vol. 80, pp. 960-963, Feb. 1998.
14. W. Suh and S. Fan, "Mechanically switchable photonic crystal filter with either all-pass transmission or flat-top reflection characteristics," Opt. Lett., vol. 28, pp. 1763-1765, Oct. 2003.
15. Z. Wang and S. Fan, "Compact all-pass filters in photonic crystals as the building block for high-capacity optical delay lines," Phys. Rev. E, vol. 68, p. 066616-1-4, Dec. 2003.
16. P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, "Microcavities in photonic crystals: mode symmetry, tunability and coupling efficiency," Phys. Rev. B, vol. 54, pp. 7837-7842, Sept. 1996.
17. V. A. Mandelshtam and H. S. Taylor, "Harmonic inversion of time signals and its applications," J. Chem. Phys., vol. 107, pp. 6756-6769, July 1997.
18. S. Fan and J. D. Joannopoulos, "Analysis of guided resonance in photonic crystal slabs," Phys. Rev. B, vol. 65, p. 235112-1-8, June