Chan, J. C. L., and R. T. Williams, 1987: Analytical and numerical studies of the beta-effect in tropical cyclone motion. Part I: Zero mean flow. J. Atmos. Sci., 44(9), 1257−1265, https://doi.org/10.1175/1520-0469(1987)044<1257:AANSOT>2.0.CO;2.
Fiorino, M., and R. L. Elsberry, 1989: Some aspects of vortex structure related to tropical cyclone motion. J. Atmos. Sci., 16, 975−990, https://doi.org/10.1175/1520-0469(1989)046<0975:SAOVSR>2.0.CO;2.
Guinn, T. A., and W. H. Schubert, 1993: Hurricane spiral bands. J. Atmos. Sci., 50, 3380−3403, https://doi.org/10.1175/1520-0469(1993)050<3380:HSB>2.0.CO;2.
Hendricks, E. A., W. H. Schubert, Y. H. Chen, H. C. Kuo, and M. S. Peng, 2014: Hurricane eyewall evolution in a forced shallow-water model. J. Atmos. Sci., 71(5), 1623−1643, https://doi.org/10.1175/JAS-D-13-0303.1.
Holland, G. J., 1983: Tropical cyclone motion: Environmental interaction plus a beta effect. J. Atmos. Sci., 40, 328−342, https://doi.org/10.1175/1520-0469(1983)040<0328:TCMEIP>2.0.CO;2.
Hoskins, B. J., M. E. McIntyre, and A. W. Robertson, 1985: On the use and significance of isentropic potential vorticity maps. Quart. J. Roy. Meteor. Soc., 111(470), 877−946, https://doi.org/10.1002/qj.49711147002.
Kossin, J. P., and M. D. Eastin, 2001: Two distinct regimes in the kinematic and thermodynamic structure of the hurricane eye and eyewall. J. Atmos. Sci., 58, 1079−1090, https://doi.org/10.1175/1520-0469(2001)058<1079:TDRITK>2.0.CO;2.
Kossin, J. P., and W. H. Schubert, 2001: Mesovortices, polygonal flow patterns, and rapid pressure falls in hurricane-like vortices. J. Atmos. Sci., 58, 2196−2209, https://doi.org/10.1175/1520-0469(2001)058<2196:MPFPAR>2.0.CO;2.
Kossin, J. P., and W. H. Schubert, 2004: Mesovortices in hurricane Isabel. Bull. Amer. Meteor. Soc., 85(2), 151−153, https://doi.org/10.1175/BAMS-85-2-151.
Lewis, B. M., and H. F. Hawkins, 1982: Polygonal eye walls and rainbands in hurricanes. Bull. Amer. Meteor. Soc., 63, 1294−1300, https://doi.org/10.1175/1520-0477(1982)063<1294:PEWARI>2.0.CO;2.
MacDonald, N. J., 1968: The evidence for the existence of Rossby-like waves in the hurricane vortex. Tellus, 20, 138−150, https://doi.org/10.1111/j.2153-3490.1968.tb00358.x.
Montgomery, M. T., and L. J. Shapiro, 1995: Generalized Charney–Stern and Fjortoft theorems for rapidly rotating vortices. J. Atmos. Sci., 52, 1829−1833, https://doi.org/10.1175/1520-0469(1995)052<1829:GCAFTF>2.0.CO;2.
Montgomery, M. T., and R. J. Kallenbach, 1997: A theory for vortex Rossby-waves and its application to spiral bands and intensity changes in hurricanes. Quart. J. Roy. Meteor. Soc., 123(538), 435−465, https://doi.org/10.1002/qj.49712353810.
Muramatsu, T., 1986: The structure of polygonal eye of a typhoon. J. Meteor. Soc. Japan. Ser. II, 64, 913−921, https://doi.org/10.2151/jmsj1965.64.6_913.
Nolan, D. S., and M. T. Montgomery, 2000: The algebraic growth of wavenumber one disturbances in hurricane-like vortices. J. Atmos. Sci., 57(21), 3514−3538, https://doi.org/10.1175/1520-0469(2000)057<3514:TAGOWO>2.0.CO;2.
Nolan, D. S., M. T. Montgomery, and L. D. Grasso, 2001: The wavenumber-one instability and trochoidal motion of hurricane-like vortices. J. Atmos. Sci., 58, 3243−3270, https://doi.org/10.1175/1520-0469(2001)058<3243:TWOIAT>2.0.CO;2.
Reasor, P. D., M. T. Montgomery, F. D. Marks Jr., and J. F. Gamache, 2000: Low-wavenumber structure and evolution of the hurricane inner core observed by airborne dual-Doppler radar. Mon. Wea. Rev., 128, 1653−1680, https://doi.org/10.1175/1520-0493(2000)128<1653:LWSAEO>2.0.CO;2.
Rozoff, C. M., W. H. Schubert, B. D. McNoldy, and J. P. Kossin, 2006: Rapid filamentation zones in intense tropical cyclones. J. Atmos. Sci., 63(1), 325−340, https://doi.org/10.1175/JAS3595.1.
Schubert, W. H., M. T. Montgomery, R. K. Taft, T. A. Guinn, S. R. Fulton, J. P. Kossin, and J. P. Edwards, 1999: Polygonal eyewalls, asymmetric eye contraction, and potential vorticity mixing in hurricanes. J. Atmos. Sci., 56, 1197−1223, https://doi.org/10.1175/1520-0469(1999)056<1197:PEAECA>2.0.CO;2.
Shapiro, L. J., and M. T. Montgomery, 1993: A three-dimensional balance theory for rapidly rotating vortices. J. Atmos. Sci., 50(19), 3322−3335, https://doi.org/10.1175/1520-0469(1993)050<3322:ATDBTF>2.0.CO;2.
Smith, R. A., and M. N. Rosenbluth, 1990: Algebraic instability of hollow electron columns and cylindrical vortices. Physical Review Letters, 64, 649−652, https://doi.org/10.1103/PhysRevLett.64.649.
Smith, R. K., H. C. Weber, and A. Kraus, 1995: On the symmetric circulation of a moving hurricane. Quart. J. Roy. Meteor. Soc., 121, 945−952, https://doi.org/10.1002/qj.49712152412.
Wang, Y. Q., 2002: Vortex Rossby waves in a numerically simulated tropical cyclone. Part II: The role in tropical cyclone structure and intensity changes. J. Atmos. Sci., 59, 1239−1262, https://doi.org/10.1175/1520-0469(2002)059<1239:VRWIAN>2.0.CO;2.
Wang, Y. Q., 2008: Rapid filamentation zone in a numerically simulated tropical cyclone. J. Atmos. Sci., 65, 1158−1181, https://doi.org/10.1175/2007JAS2426.1.
Wang, Y. Q., and G. J. Holland, 1996a: The beta drift of baroclinic vortices. Part I: Adiabatic vortices. J. Atmos. Sci., 53(3), 411−427, https://doi.org/10.1175/1520-0469(1996)053<0411:TBDOBV>2.0.CO;2.
Wang, Y. Q., and G. J. Holland, 1996b: The beta drift of baroclinic vortices. Part II: Diabatic vortices. J. Atmos. Sci., 53, 3737−3756, https://doi.org/10.1175/1520-0469(1996)053<3737:TBDOBV>2.0.CO;2.
Zhong, W., H.-C. Lu, and D.-L. Zhang, 2010: Mesoscale barotropic instability of vortex Rossby waves in tropical cyclones. Advances in Atmospheric Sciences, 27(2), 243−252, https://doi.org/10.1007/s00376-009-8183-7.