Explicit asymptotic formulas for the positions, widths, and strengths of resonances in Mie scattering

Explicit asymptotic formulas are derived for the positions, widths, and strengths of the morphology-dependent resonances in Mie scattering. These formulas are compared with numerical data and found to be highly accurate, especially for the low-order resonances most relevant to nonlinear processes. They permit the interpretation of experimental data on light scattering from microdroplets without resorting to the full apparatus of the Mie scattering formalism.

[1]  G. Mie Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen , 1908 .

[2]  D. Kleppner,et al.  Inhibited spontaneous emission by a Rydberg atom. , 1985, Physical review letters.

[3]  Chang,et al.  Multiorder stokes emission from micrometer-size droplets. , 1986, Physical review letters.

[4]  C. C. Lam,et al.  Effect of perturbations on the widths of narrow morphology-dependent resonances in Mie scattering , 1991 .

[5]  R. Chang,et al.  Evaporation and condensation rates of liquid droplets deduced from structure resonances in the fluorescence spectra. , 1984, Optics letters.

[6]  R. Chang,et al.  Stimulated Raman scattering from individual water and ethanol droplets at morphology-dependent resonances. , 1985, Optics letters.

[7]  Chew Radiation and lifetimes of atoms inside dielectric particles. , 1988, Physical review. A, General physics.

[8]  R. Chang,et al.  Stimulated Raman Scattering, Phase Modulation, and Coherent Anti-Stokes Raman Scattering from Single Micrometer-Size Liquid Droplets , 1986 .

[9]  P. Barber,et al.  Effects of Particle Nonsphericity on Light-Scattering , 1988 .

[10]  R. Chang,et al.  Nonlinear optics with a micrometer-size droplet , 1986 .

[11]  P. Barber,et al.  Morphology–Dependent Resonances in Raman Scattering, Fluorescence Emission, and Elastic Scattering from Microparticles , 1982 .

[12]  R. Chang,et al.  Laser emission from individual droplets at wavelengths corresponding to morphology-dependent resonances. , 1984, Optics letters.

[13]  Richard K. Chang,et al.  Third-order sum-frequency generation in droplets: model with numerical results for third-harmonic generation , 1993 .

[14]  H. Chew Transition rates of atoms near spherical surfaces , 1987 .

[15]  P. Chylek,et al.  Resonance structure of Mie scattering: distance between resonances , 1990 .

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

[17]  A. Campillo,et al.  Some characteristics of a droplet whispering-gallery-mode laser. , 1986, Optics letters.

[18]  R. G. Pinnick,et al.  Stimulated Raman scattering in micrometer-sized droplets: time-resolved measurements. , 1988, Optics letters.

[19]  Craig K. Rushforth,et al.  Resonant spectra of dielectric spheres , 1984 .

[20]  A. Campillo,et al.  Cavity-mode identification of fluorescence and lasing in dye-doped microdroplets. , 1992, Applied optics.

[21]  S. Arnold,et al.  Theory of enhanced energy transfer between molecules embedded in spherical dielectric particles , 1987 .

[22]  Young,et al.  Time-independent perturbation for leaking electromagnetic modes in open systems with application to resonances in microdroplets. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[23]  M. Kerker,et al.  Resonances in electromagnetic scattering by objects with negative absorption. , 1979, Applied optics.

[24]  J. Cooney,et al.  Coherent anti-Stokes Raman scattering by droplets in the Mie size range. , 1982, Optics letters.

[25]  A. Ashkin,et al.  Observation of optical resonances of dielectric spheres by light scattering. , 1981, Applied optics.

[26]  Milton Kerker,et al.  Surface enhancement of coherent anti-Stokes Raman scattering by colloidal spheres , 1984 .

[27]  Craig K. Rushforth,et al.  Efficient automated algorithm for the sizing of dielectric microspheres using the resonance spectrum , 1984 .

[28]  W. Kiefer,et al.  Structural resonances observed in the Raman spectra of optically levitated liquid droplets. , 1985, Applied optics.

[29]  Richard K. Chang,et al.  Third-order sum-frequency generation in droplets: experimental results , 1993 .

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

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

[32]  Lorcan Folan,et al.  Enhanced energy transfer within a microparticle , 1985 .

[33]  S. Arnold,et al.  Energy transfer and the photon lifetime within an aerosol particle. , 1989, Optics letters.

[34]  F. K. Kosyrev,et al.  BRIEF COMMUNICATIONS: Nonlinear scattering and self-focusing of laser radiation in an aerosol , 1985 .

[35]  R. Chang,et al.  Photon lifetime within a droplet: temporal determination of elastic and stimulated Raman scattering. , 1988, Optics letters.

[36]  R. Chang,et al.  Lasing Droplets: Highlighting the Liquid-Air Interface by Laser Emission , 1986, Science.

[37]  R. K. Chang,et al.  Size And Shape Variations Of Liquid Droplets Deduced From Morphology-Dependent Resonances In Fluorescence Spectra , 1985, Optics & Photonics.

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

[39]  Daniel Kleppner,et al.  Inhibited Spontaneous Emission , 1981 .

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

[41]  Robert E. Benner,et al.  Observation of Structure Resonances in the Fluorescence Spectra from Microspheres , 1980 .

[42]  R L Byer,et al.  High-resolution spectroscopy of whispering gallery modes in large dielectric spheres. , 1991, Optics letters.

[43]  P. Mcnulty,et al.  Fluorescent scattering by molecules embedded in small particles , 1976 .

[44]  Young,et al.  Electromagnetic decay into a narrow resonance in an optical cavity. , 1988, Physical review. A, General physics.

[45]  M. Kerker,et al.  Electromagnetic scattering from active objects. , 1978, Applied optics.