-
1
-
-
0003080827
-
-
10.1063/1.353859
-
H.-N. Lin, H. J. Maris, L. B. Freund, K. Y. Lee, H. Luhn, and D. P. Kern, J. Appl. Phys. 73, 37 (1993). 10.1063/1.353859
-
(1993)
J. Appl. Phys.
, vol.73
, pp. 37
-
-
Lin, H.-N.1
Maris, H.J.2
Freund, L.B.3
Lee, K.Y.4
Luhn, H.5
Kern, D.P.6
-
2
-
-
33845404352
-
-
10.1063/1.1435831
-
G. A. Antonelli, H. J. Maris, S. G. Malhotra, and J. M. E. Harper, J. Appl. Phys. 91, 3261 (2002). 10.1063/1.1435831
-
(2002)
J. Appl. Phys.
, vol.91
, pp. 3261
-
-
Antonelli, G.A.1
Maris, H.J.2
Malhotra, S.G.3
Harper, J.M.E.4
-
3
-
-
33845908250
-
-
10.1016/j.ultras.2006.05.179
-
T. Bienville, J. F. Robillard, L. Belliard, I. Roch-Jeune, A. Devos, and B. Perrin, Ultrasonics 44, e1289 (2006). 10.1016/j.ultras.2006.05.179
-
(2006)
Ultrasonics
, vol.44
, pp. 1289
-
-
Bienville, T.1
Robillard, J.F.2
Belliard, L.3
Roch-Jeune, I.4
Devos, A.5
Perrin, B.6
-
4
-
-
34548756642
-
-
10.1103/PhysRevB.76.125413
-
C. Giannetti, B. Revaz, F. Banfi, M. Montagnese, G. Ferrini, F. Cilento, S. Moccalli, P. Vavassori, G. Oliviero, E. Bontempi, L. E. Depero, V. Metlushko, and F. Parmigiani, Phys. Rev. B 76, 125413 (2007). 10.1103/PhysRevB.76.125413
-
(2007)
Phys. Rev. B
, vol.76
, pp. 125413
-
-
Giannetti, C.1
Revaz, B.2
Banfi, F.3
Montagnese, M.4
Ferrini, G.5
Cilento, F.6
Moccalli, S.7
Vavassori, P.8
Oliviero, G.9
Bontempi, E.10
Depero, L.E.11
Metlushko, V.12
Parmigiani, F.13
-
5
-
-
47949085009
-
-
10.1103/PhysRevLett.101.033902
-
A. V. Akimov, Y. Tanaka, A. B. Pevtsov, S. F. Kaplan, V. G. Golubev, S. Tamura, D. R. Yakovlev, and M. Bayer, Phys. Rev. Lett. 101, 033902 (2008). 10.1103/PhysRevLett.101.033902
-
(2008)
Phys. Rev. Lett.
, vol.101
, pp. 033902
-
-
Akimov, A.V.1
Tanaka, Y.2
Pevtsov, A.B.3
Kaplan, S.F.4
Golubev, V.G.5
Tamura, S.6
Yakovlev, D.R.7
Bayer, M.8
-
6
-
-
33750019836
-
-
10.1038/nmat1727
-
W. Cheng, J. J. Wang, U. Jonas, G. Fytas, and N. Stefanou, Nature Mater. 5, 830 (2006). 10.1038/nmat1727
-
(2006)
Nature Mater.
, vol.5
, pp. 830
-
-
Cheng, W.1
Wang, J.J.2
Jonas, U.3
Fytas, G.4
Stefanou, N.5
-
7
-
-
43749110689
-
-
10.1103/PhysRevLett.100.194301
-
T. Still, W. Cheng, M. Retsch, R. Sainidou, J. Wang, U. Jonas, N. Stefanou, and G. Fytas, Phys. Rev. Lett. 100, 194301 (2008). 10.1103/PhysRevLett.100.194301
-
(2008)
Phys. Rev. Lett.
, vol.100
, pp. 194301
-
-
Still, T.1
Cheng, W.2
Retsch, M.3
Sainidou, R.4
Wang, J.5
Jonas, U.6
Stefanou, N.7
Fytas, G.8
-
8
-
-
1842843687
-
-
10.1016/j.physrep.2003.12.005
-
M. Blencowe, Phys. Rep. 395, 159 (2004). 10.1016/j.physrep.2003.12.005
-
(2004)
Phys. Rep.
, vol.395
, pp. 159
-
-
Blencowe, M.1
-
9
-
-
11044229350
-
-
10.1002/pssc.200405354
-
R. N. Kini, N. M. Stanton, A. Kent, and M. Henini, Phys. Status Solidi C 1, 2682 (2004). 10.1002/pssc.200405354
-
(2004)
Phys. Status Solidi C
, vol.1
, pp. 2682
-
-
Kini, R.N.1
Stanton, N.M.2
Kent, A.3
Henini, M.4
-
10
-
-
0037365388
-
-
10.1038/nmat847
-
J. M. Gerard, Nature Mater. 2, 140 (2003). 10.1038/nmat847
-
(2003)
Nature Mater.
, vol.2
, pp. 140
-
-
Gerard, J.M.1
-
11
-
-
11544343614
-
-
10.1103/PhysRevLett.81.1110
-
J. M. Gerard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998). 10.1103/PhysRevLett.81.1110
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 1110
-
-
Gerard, J.M.1
Sermage, B.2
Gayral, B.3
Legrand, B.4
Costard, E.5
Thierry-Mieg, V.6
-
12
-
-
0040753046
-
-
10.1063/1.1379987
-
A. Kiraz, P. Michler, C. Becher, B. Gayral, A. Imamoglu, Lidong Zhang, and E. Hu, Appl. Phys. Lett. 78, 3932 (2001). 10.1063/1.1379987
-
(2001)
Appl. Phys. Lett.
, vol.78
, pp. 3932
-
-
Kiraz, A.1
Michler, P.2
Becher, C.3
Gayral, B.4
Imamoglu, A.5
Zhang, L.6
Hu, E.7
-
13
-
-
0037468209
-
-
10.1038/nature01371
-
D. K. Armani, T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, Nature Mater. 421, 925 (2003). 10.1038/nature01371
-
(2003)
Nature Mater.
, vol.421
, pp. 925
-
-
Armani, D.K.1
Kippenberg, T.J.2
Spillane, S.M.3
Vahala, K.J.4
-
14
-
-
34548048802
-
-
10.1063/1.2771373
-
V. N. Astratov, S. Yang, S. Lam, B. D. Jones, D. Sanvitto, D. M. Whittaker, A. M. Fox, M. S. Skolnick, A. Tahraoui, P. W. Fry, and M. Hopkinson, Appl. Phys. Lett. 91, 071115 (2007). 10.1063/1.2771373
-
(2007)
Appl. Phys. Lett.
, vol.91
, pp. 071115
-
-
Astratov, V.N.1
Yang, S.2
Lam, S.3
Jones, B.D.4
Sanvitto, D.5
Whittaker, D.M.6
Fox, A.M.7
Skolnick, M.S.8
Tahraoui, A.9
Fry, P.W.10
Hopkinson, M.11
-
17
-
-
84953649972
-
-
10.1121/1.1911400
-
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
-
-
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
-
-
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.
-
-
-
-
24
-
-
0025932079
-
-
10.1121/1.401643
-
W. M. Visscher, A. Magliori, T. M. Bell, and R. A. Reinert, J. Acoust. Soc. Am. 90, 2154 (1991). 10.1121/1.401643
-
(1991)
J. Acoust. Soc. Am.
, vol.90
, pp. 2154
-
-
Visscher, W.M.1
Magliori, A.2
Bell, T.M.3
Reinert, R.A.4
-
28
-
-
62549093710
-
-
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
-
-
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
-
-
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
-
-
62549161063
-
-
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
-
-
0003604047
-
-
2nd ed. (Cambridge University Press, New York
-
G. N. Watson, Theory of Bessel Functions, 2nd ed. (Cambridge University Press, New York, 1966).
-
(1966)
Theory of Bessel Functions
-
-
Watson, G.N.1
-
35
-
-
34447632534
-
-
10.1103/PhysRevB.6.1106
-
A. A. Maradudin, R. F. Wallis, D. L. Mills, and R. L. Ballard, Phys. Rev. B 6, 1106 (1972). 10.1103/PhysRevB.6.1106
-
(1972)
Phys. Rev. B
, vol.6
, pp. 1106
-
-
Maradudin, A.A.1
Wallis, R.F.2
Mills, D.L.3
Ballard, R.L.4
-
36
-
-
0004245694
-
-
edited by M. Abramovitz and I. A. Stegun (Dover, New York
-
Handbook of Mathematical Functions, edited by, M. Abramovitz, and, I. A. Stegun, (Dover, New York, 1964).
-
(1964)
Handbook of Mathematical Functions
-
-
-
37
-
-
85012587852
-
-
edited by W. P. Mason and R. N. Thurston (Academic, New York
-
G. W. Farnell, in Physical Acoustics VI, edited by, W. P. Mason, and, R. N. Thurston, (Academic, New York, 1970), p. 109.
-
(1970)
Physical Acoustics VI
, pp. 109
-
-
Farnell, G.W.1
-
39
-
-
14044250736
-
-
10.1016/j.cpc.2004.11.004
-
R. Sainidou, N. Stefanou, I. E. Psarobas, and A. Modinos, Comput. Phys. Commun. 166, 197 (2005). 10.1016/j.cpc.2004.11.004
-
(2005)
Comput. Phys. Commun.
, vol.166
, pp. 197
-
-
Sainidou, R.1
Stefanou, N.2
Psarobas, I.E.3
Modinos, A.4
|