Theory of Mie resonances and ripple fluctuations

Abstract CAM (complex angular momentum) results for Mie resonances and for the associated ripple fluctuations in Mie scattering are reported. Resonance positions and widths are accurately determined. They are described by Regge trajectories, that are found also to produce strong antiresonant contributions. The background includes a new forward glory term. CAM theory provides a physical picture of all contributions and the first accurate non-partial-wave fit of the total cross section including both background and ripple. The backscattering cross section is also reproduded: both background (dominated by tunneling) and resonance contributions must be taken into account.

[1]  H. Nussenzveig.  Uniform approximation in scattering by spheres , 1988 .

[2]  Lin,et al.  Cavity quantum electrodynamic enhancement of stimulated emission in microdroplets. , 1991, Physical review letters.

[3]  J. Weinman,et al.  A numerical study of scattering by large dielectric spheres , 1978 .

[4]  V. Weisskopf,et al.  Theoretical Nuclear Physics , 1953 .

[5]  A. Ashkin,et al.  Applications of laser radiation pressure. , 1980, Science.

[6]  H. Nussenzveig,et al.  Theory of the Glory , 1977 .

[7]  H. M. Lai,et al.  Dielectric microspheres as optical cavities: thermal spectrum and density of states , 1987 .

[8]  P. Debye,et al.  Der Lichtdruck auf Kugeln von beliebigem Material , 2014 .

[9]  S. John,et al.  Localization of Light , 1991 .

[10]  Nussenzveig,et al.  Theory of near-critical-angle scattering from a curved interface. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[11]  Warren J. Wiscombe,et al.  Efficiency factors in Mie scattering , 1980 .

[12]  S. C. Hill,et al.  Morphology-dependent resonances associated with stimulated processes in microspheres , 1986, International Laser Science Conference.

[13]  H. Nussenzveig.  High‐Frequency Scattering by a Transparent Sphere. I. Direct Reflection and Transmission , 1969 .

[14]  Herch Moyses Nussenzveig.  Diffraction Effects in Semiclassical Scattering , 1992 .

[15]  W. Wiscombe,et al.  Forward optical glory. , 1980, Optics letters.

[16]  Emil Wolf,et al.  Principles of Optics: Contents , 1999 .

[17]  J. R. Probert-Jones.  Resonance component of backscattering by large dielectric spheres , 1984 .

[18]  H. M. Lai,et al.  Dielectric microspheres as optical cavities: Einstein A and B coefficients and level shift , 1987 .

[19]  Milton Kerker,et al.  The Scattering of Light and Other Electromagnetic Radiation ~Academic , 1969 .