[en] The construction of perturbation series for slightly deformed dielectric circular cavity is discussed in detail. The obtained formulas are checked on the example of cut disks. A good agreement is found with direct numerical simulations and far-field experiments.
Disciplines :
Physics
Author, co-author :
Dubertrand, Rémy ; Université de Liège - ULiège > Département de physique > Optique quantique
Bogomolny, E
Djellali, N
Lebental, M
Schmit, C
Language :
English
Title :
Circular dielectric cavity and its deformation
Publication date :
2008
Journal title :
Physical Review. A, Atomic, molecular, and optical physics
Optical Microcavities, edited by K. Vahala (World Scientific, Singapore, 2005).
E. Krioukov, D. J. W. Klunder, A. Driessen, J. Greve, and C. Otto. Opt. Lett. 27. 512 (2002).
C. Gmachl. F. Capasso. E. E. Narimanov, J. U. Nockel, A. D. Stone, J. Faist. D. L. Sivco. and A. Y. Cho, Science 280, 1556 (1998).
J. D. Jackson. Classical Electrodynamics (Wiley, New York. 1962).
C. Vassallo, Optical Waveguide Concepts (Eslevier. Amsterdam. 1991).
M. Lebental, N. Djellali, C. Arnaud, J.-S. Laurel, J. Zyss, R. Dubertrand, C. Schmit and E. Bogomolny. Phys. Rev. A (to be published).
A. Erddlyi, Higher Transcendental Functions (McGraw-Hill, New York. 1955), Vol. 3.
J. Nockel. Ph.D. dissertation. Yale University, 1997 (unpublished).
M. Hentschel and H. Schomerus. Phys. Rev. E 65. 045603(R) (2002).
C. Yeh, Phys. Rev. 135. A1193 (1964).
L. Kaminetzky and J. Keller, SIAM J. Appl. Math. 22. 109 (1972).
I. Braun, G. Ihlein, F. Laer, J. U. Nockel, G. Schulz-Ekloff, F. Schiith, U. Vietze, O. Weis, and D. Wohrle, Appl. Phys. B: Lasers Opt. 70. 335 (2000).
J. Wiersig. J. Opt. A. Pure Appl. Opt. 5. 53 (2003).
Phys. Rev. A 67. 023807 (2003).
P. M. Morse and H. Feshbach. Methods of Theoretical Physics (McGraw-Hill, New York. 1953), Vol. II.
M. V. Berry and M. Tabor. Proc. R. Soc. London. Ser. A 356, 375 (1977).
S. Tomsovic and D. Ullmo. Phys. Rev. E 50, 145 (1994).
V. Doya. O. Legrand. F. Mortessagne, and C. Miniatura. Phys. Rev. E 65. 056223 (2002).
M. Lebental, J.-S. Laurel, R. Hierle, and J. Zyss, Appl. Phys. Letl. 88.031108 (2006).
S.-Y. Lee, S. Rim, J.-W. Ryu, T.-Y. Kwon, M. Choi, and C.-M. Kim. Phys. Rev. Lett. 93, 164102 (2004).
