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Volumn 79, Issue 5, 2009, Pages

Vibrational cavity modes in a free cylindrical disk

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EID: 62549134461     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.054302     Document Type: Article
Times cited : (8)

References (39)
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  • 10
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    • 10.1038/nmat847
    • J. M. Gerard, Nature Mater. 2, 140 (2003). 10.1038/nmat847
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  • 17
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    • B. Rulf, J. Acoust. Soc. Am. 45, 493 (1969). 10.1121/1.1911400
    • (1969) J. Acoust. Soc. Am. , vol.45 , pp. 493
    • Rulf, B.1
  • 21
    • 62549126185 scopus 로고    scopus 로고
    • With this localized nature of the vibrational modes studied, the presence of the column that supports the central part of a circular microdisk fabricated should be irrelevant in the present analysis for large n.
    • With this localized nature of the vibrational modes studied, the presence of the column that supports the central part of a circular microdisk fabricated should be irrelevant in the present analysis for large n.
  • 22
    • 62549151959 scopus 로고    scopus 로고
    • Unlike the case of the electromagnetic waves, the leakage of the vibrational field outside the disk does not exist for the present structure.
    • Unlike the case of the electromagnetic waves, the leakage of the vibrational field outside the disk does not exist for the present structure.
  • 28
    • 62549093710 scopus 로고    scopus 로고
    • Our method combines two series of exact solutions for the lattice displacements but Hutchinson (Ref.) used three series of the solutions.
    • Our method combines two series of exact solutions for the lattice displacements but Hutchinson (Ref.) used three series of the solutions.
  • 29
    • 62549124717 scopus 로고    scopus 로고
    • Another set of solutions is possible by interchanging cosnθ and sinnθ. They will be used for the torsional mode with n=0.
    • Another set of solutions is possible by interchanging cosnθ and sinnθ. They will be used for the torsional mode with n=0.
  • 30
    • 62549164904 scopus 로고    scopus 로고
    • These relations are derived with the recurrence relation of the Bessel function (d/dx+n/x) Jn (x) = Jn-1 (x).
    • These relations are derived with the recurrence relation of the Bessel function (d/dx+n/x) Jn (x) = Jn-1 (x).
  • 31
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    • For Bessel functions the following equations hold with α and β as arbitrary constants: (α2 - β2) 0a r Jn (αr) Jn (βr) dr =a [β Jn (αa) Jn′ (βa) -α Jn (βa) Jn′ (αa)] and 0a r [Jn (βr)] 2 dr = (a2 /2) { [Jn′ (βa)] 2 + [1- n2 / (βa) 2] [Jn (βa)] 2 }.
    • For Bessel functions the following equations hold with α and β as arbitrary constants: (α2 - β2) 0a r Jn (αr) Jn (βr) dr =a [β Jn (αa) Jn′ (βa) -α Jn (βa) Jn′ (αa)] and 0a r [Jn (βr)] 2 dr = (a2 /2) { [Jn′ (βa)] 2 + [1- n2 / (βa) 2] [Jn (βa)] 2 }.
  • 32
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    • Watson, G.N.1
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    • edited by M. Abramovitz and I. A. Stegun (Dover, New York
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  • 37
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    • edited by W. P. Mason and R. N. Thurston (Academic, New York
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    • (1970) Physical Acoustics VI , pp. 109
    • Farnell, G.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.