中国综合性科技类核心期刊(北大核心)

中国科学引文数据库来源期刊(CSCD)

美国《化学文摘》(CA)收录

美国《数学评论》(MR)收录

俄罗斯《文摘杂志》收录

Message Board

Respected readers, authors and reviewers, you can add comments to this page on any questions about the contribution, review, editing and publication of this journal. We will give you an answer as soon as possible. Thank you for your support!

Name
E-mail
Phone
Title
Content
Verification Code
Issue 1
Jan.  2021
Turn off MathJax
Article Contents
WANG Qianjing, DU Junjie. Whispering gallery mode in a two-dimensional electromagnetic Helmholtz cavity[J]. Journal of East China Normal University (Natural Sciences), 2021, (1): 119-128. doi: 10.3969/j.issn.1000-5641.202022006
Citation: WANG Qianjing, DU Junjie. Whispering gallery mode in a two-dimensional electromagnetic Helmholtz cavity[J]. Journal of East China Normal University (Natural Sciences), 2021, (1): 119-128. doi: 10.3969/j.issn.1000-5641.202022006

Whispering gallery mode in a two-dimensional electromagnetic Helmholtz cavity

doi: 10.3969/j.issn.1000-5641.202022006
  • Received Date: 2020-03-31
  • Publish Date: 2021-01-27
  • In this paper, whispering gallery mode (WGM) excited in a two-dimensional electromagnetic Helmholtz cavity are studied using a rigorous, generalized dual series approach. The excitation wavelengths of several whispering gallery modes are given, and the dependence of electromagnetic whispering gallery modes on the angle of incidence and the angular width of opening cavities is investigated. It was found that WGM are very sensitive to slight changes in wavelength or the angular width of the opening; at the same time, WGM can be excited across a wide range of incident angles given a fixed orientation angle of the cavity. This shows that the angular width of the opening has a significant influence on the performance of Helmholtz cavities and hence is a key parameter in their design. On the other hand, given the lack of sensitivity to the incident angle, no particular specification is needed when designing an artificially structured electromagnetic material using these Helmholtz cavities; accordingly, the fabrication difficulty is relatively low.
  • loading
  • [1]
    LORD RAYLEIGH O M F R S. The problem of the whispering gallery [J]. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1910, 20(120): 1001-1004.
    [2]
    MIE G. Beiträge zur optik trüber medien, speziell kolloidaler metallösungen [J]. Annalen der Physik, 1908, 330(3): 377-445.
    [3]
    RICHTMYER R D. Dielectric resonators [J]. Journal of Applied Physics, 1939, 10(6): 391-398.
    [4]
    GARRETT C G B, KAISER W, BOND W L. Stimulated emission into optical whispering modes of spheres [J]. Physical Review, 1961, 124(6): 1807-1809.
    [5]
    WALSH P, KEMENY G. Laser operation without spikes in a ruby ring [J]. Journal of Applied Physics, 1963, 34(4): 956-957.
    [6]
    MCCALL S L, LEVI A F J, SLUSHER R E, et al. Whispering-gallery mode microdisk lasers [J]. Applied Physics Letters, 1992, 60(3): 289-291.
    [7]
    SLUSHER R E, LEVI A F J, MOHIDEEN U, et al. Threshold characteristics of semiconductor microdisk lasers [J]. Applied Physics Letters, 1993, 63(10): 1310-1312.
    [8]
    LEVI A F J, SLUSHER R E, MCCALL S L, et al. Directional light coupling from microdisk lasers [J]. Applied Physics Letters, 1993, 62(6): 561-563.
    [9]
    XIA F N, SEKARIC L, VLASOV Y. Ultracompact optical buffers on a silicon chip [J]. Nature Photonics, 2007(1): 65-71.
    [10]
    YANIK M F, FAN S H. Stopping light all optically [J]. Physical Review Letters, 2004, 92(8): 083901.
    [11]
    DONG C H, HE L, XIAO Y F, et al. Fabrication of high-Q polydimethylsiloxane optical microspheres for thermal sensing [J]. Applied Physics Letters, 2009, 94(23): 839-842.
    [12]
    VOLLMER F, ARNOLD S. Whispering-gallery-mode biosensing: Label-free detection down to single molecules [J]. Nature Methods, 2008, 5(7): 591-596.
    [13]
    VOLLMER F, BRAUN D, LIBCHABER A, et al. Protein detection by optical shift of a resonant microcavity [J]. Applied Physics Letters, 2002, 80(21): 4057-4059.
    [14]
    KIPPENBERG T J, ROKHSARI H, CARMON T, et al. Analysis of radiation-pressure induced mechanical oscillation of an optical microcavity [J]. Physical Review Letters, 2005, 95(3): 033901.
    [15]
    MA R, SCHLIESSER A, DEL’HAYE P, et al. Radiation-pressure-driven vibrational modes in ultra-high-Q silica microspheres [J]. Optics Letters, 2007, 32(15): 2200-2202.
    [16]
    KIPPENBERG T J, VAHALA K J. Cavity optomechanics: Back-action at the mesoscale [J]. Science, 2008, 321(5893): 1172-1176.
    [17]
    SCHLIESSER A, KIPPENBERG T J. Cavity optomechanics with whispering-gallery-mode optical micro-resonators [J]. Advances in Atomic, Molecular, and Optical Physics, 2010, 58: 207-323.
    [18]
    BRAGINSKY V B, GORODETSKY M L, ILCHENKO V S. Quality-factor and nonlinear properties of optical whispering-gallery modes [J]. Physics Letters A, 1989, 137(7/8): 393-397.
    [19]
    HONDA K, GARMIRE E, WILSON K. Characteristics of an integrated optics ring resonator fabricated in glass [J]. Journal of Lightwave Technology, 1984, 2(5): 714-719.
    [20]
    ARMANI D K, KIPPENBERG T J, SPILLANE S M, et al. Ultra-high-Q toroid microcavity on a chip [J]. Nature, 2003, 421(6926): 925-928.
    [21]
    MOON H J, CHOUGH Y T, AN K. Cylindrical microcavity laser based on the evanescent-wave-coupled gain [J]. Physical Review Letters, 2000, 85(15): 3161-3164.
    [22]
    COLLOT L, LEFÈVRE-SEGUIN V, BRUNE M, et al. Very high-Q whispering-gallery mode resonances observed on fused silica microspheres [J]. Europhysics Letters, 2007, 23(5): 327-334.
    [23]
    ILCHENKO V S, SAVCHENKOV A A, MATSKO A B, et al. Nonlinear optics and crystalline whispering gallery mode cavities [J]. Physical Review Letters, 2004, 92(4): 043903.
    [24]
    SAVCHENKOV A A, ILCHENKO V S, MATSKO A B, et al. Kilohertz optical resonances in dielectric crystal cavities [J]. Physical Review A, 2004, 70(5): 051804.
    [25]
    LI B B, WANG Q Y, YUN F X, et al. On chip, high-sensitivity thermal sensor based on high-Q polydimethylsiloxane-coated microresonator [J]. Applied Physics Letteres, 2010, 96(25): 251109.
    [26]
    ZENINARI V, KAPITANOV V A, COURTOIS D, et al. Design and characteristics of a differential Helmholtz resonant photoacoustic cell for infrared gas detection [J]. Infrared Physics and Technology, 1999, 40(1): 1-23.
    [27]
    FANG N, XI D J, XU J Y, et al. Ultrasonic metamaterials with negative modulus [J]. Nature Materials, 2006, 5(6): 452-456.
    [28]
    LEE S H, PARK C M, SEO Y M, et al. Composite acoustic medium with simultaneously negative density and modulus [J]. Physical Review Letters, 2010, 104(5): 054301.
    [29]
    SENIOR T B A. Electromagnetic field penetration into a cylindrical cavity [J]. IEEE Transactions on Electromagnetic Compatibility, 1976, EMC-18(2): 71-73.
    [30]
    BONBARDT J N JR , LIBELO L F. The Scattering of electromagnetic radiation by apertures’ Ⅴ. Surface current, tangential aperture electric field, and back-scattering cross-section for the axially slotted cylinder at normal, symmetric incidence[R]. NASA STI/Recon Technical Report N, 1975.
    [31]
    NEGANOV V A, SARYCHEV A A. Diffraction of a plane electromagnetic wave by a circulardielectric cylinder with a finite-length perfectly conducting metal strip on the cylinder's lateral surface [J]. Journal of Communications Technology and Electronics, 2008, 53(11): 1315-1322.
    [32]
    ZIOLKOWSKI R W, GRANT J B. Scattering from cavity-backed apertures: The generalized dual series solution of the concentrically loadedE-pol slit cylinder problem [J]. IEEE Transactions on Antennas and Propagation, 1987, 35(5): 504-528.
    [33]
    JOHNSON W A, ZIOLKOWSKI R W. The scattering of an H-polarized plane wave from an axially slotted infinite cylinder: A dual series approach [J]. Radio Science, 1984, 19(1): 275-291.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(8)

    Article views (73) PDF downloads(0) Cited by()
    Proportional views

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return