Theory of resonance shifts in TE and TM whispering gallery modes by nonradial perturbations for sensing applications

被引:117
作者
Teraoka, Iwao [1 ]
Arnold, Stephen [1 ]
机构
[1] Polytech Univ, Microparticle Photophys Lab, Brooklyn, NY 11201 USA
关键词
D O I
10.1364/JOSAB.23.001381
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A perturbation theory is presented for the frequency shift of highly resonant photonic whispering gallery modes in a transparent sphere. Using a vector wave equation. we derive a general formula for the shifts in TE and TM polarization by adsorption of another dielectric medium. The adsorbed medium can have an arbitrary shape and refractive-index profile. The formula is applied to adsorption of a thin layer and deposition of a small spherical particle, many such particles, and thin cylindrical particles on the resonator surface. We found that the ratio of the TM mode shift to the TE mode shift is sensitive to the shape of the adsorbates and their orientation. Calculation results are discussed in terms of a dipolar field. (c) 2006 Optical Society of America.
引用
收藏
页码:1381 / 1389
页数:9
相关论文
共 17 条
[11]   Tunable delay line with interacting whispering-gallery-mode resonators [J].
Maleki, L ;
Matsko, AB ;
Savchenkov, AA ;
Ilchenko, VS .
OPTICS LETTERS, 2004, 29 (06) :626-628
[12]   Nanolayer characterization through wavelength multiplexing of a microsphere resonator [J].
Noto, M ;
Vollmer, F ;
Keng, D ;
Teraoka, I ;
Arnold, S .
OPTICS LETTERS, 2005, 30 (05) :510-512
[13]   EXCITATION OF RESONANCES OF MICROSPHERES ON AN OPTICAL-FIBER [J].
SERPENGUZEL, A ;
ARNOLD, S ;
GRIFFEL, G .
OPTICS LETTERS, 1995, 20 (07) :654-656
[14]   Perturbation approach to resonance shifts of whispering-gallery modes in a dielectric microsphere as a probe of a surrounding medium [J].
Teraoka, I ;
Arnold, S ;
Vollmer, F .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2003, 20 (09) :1937-1946
[15]  
TERAOKA I, UNPUB J APPL PHYS
[16]   Multiplexed DNA quanti. cation by spectroscopic shift of two microsphere cavities [J].
Vollmer, F ;
Arnold, S ;
Braun, D ;
Teraoka, I ;
Libchaber, A .
BIOPHYSICAL JOURNAL, 2003, 85 (03) :1974-1979
[17]   Protein detection by optical shift of a resonant microcavity [J].
Vollmer, F ;
Braun, D ;
Libchaber, A ;
Khoshsima, M ;
Teraoka, I ;
Arnold, S .
APPLIED PHYSICS LETTERS, 2002, 80 (21) :4057-4059