## Mie scattering in the time domain. Part II. The role of diffraction |

JOSA A, Vol. 28, Issue 6, pp. 1096-1106 (2011)

http://dx.doi.org/10.1364/JOSAA.28.001096

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### Abstract

The

© 2011 Optical Society of America

**OCIS Codes**

(260.1960) Physical optics : Diffraction theory

(290.4020) Scattering : Mie theory

(320.2250) Ultrafast optics : Femtosecond phenomena

**ToC Category:**

Scattering

**History**

Original Manuscript: February 15, 2011

Manuscript Accepted: March 16, 2011

Published: May 18, 2011

**Virtual Issues**

Vol. 6, Iss. 7 *Virtual Journal for Biomedical Optics*

**Citation**

James A. Lock and Philip Laven, "Mie scattering in the time domain. Part II. The role of diffraction," J. Opt. Soc. Am. A **28**, 1096-1106 (2011)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-6-1096

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### References

- D. Halliday, R. Resnick, and J. Walker, “Diffraction,” in Fundamentals of Physics, 7th ed. (Wiley, 2005), p. 963.
- E. Hecht, “Huygens principle,” in Optics, 2nd ed. (Addison-Wesley, 1987), p. 80.
- J. W. Goodman, “The Kirchhoff formula of diffraction by a plane screen,” in Introduction to Fourier Optics (McGraw-Hill, 1968), pp. 37–42.
- M. Born and E. Wolf, “Two-dimensional diffraction of a plane wave by a half-plane,” in Principles of Optics, 6th ed.(Cambridge University, 1980), pp. 565–578.
- M. Born and E. Wolf, “The nature of the solution,” in Principles of Optics, 6th ed. (Cambridge University, 1980), p. 571.
- M. Born and E. Wolf, “The nature of the solution,” in Principles of Optics, 6th ed. (Cambridge University, 1980), p. 572.
- M. Born and E. Wolf, “Expression of the solution in ters of Fresnel integrals,” in Principles of Optics, 6th ed. (Cambridge University, 1980), p. 569.
- H. C. van de Hulst, “Rigorous scattering theory for spheres of arbitrary size,” in Light Scattering by Small Particles (Dover, 1957), pp. 114–130.
- M. Kerker, “Scattering by a sphere,” in The Scattering of Light and Other Electromagnetic Radiation (Academic, 1969), pp. 27–96.
- C. F. Bohren and D. R. Huffman, “Absorption and scattering by a sphere,” in Absorption and Scattering of Light by Small Particles (Wiley, 1983), pp. 82–129.
- B. Van der Pol and H. Bremmer, “The diffraction of electromagnetic waves from an electrical point source round a finitely conducting sphere, with applications to radiotelegraphy and the theory of the rainbow,” Philos. Mag. 24, 825–864 (1937).
- H. C. van de Hulst, “The diffraction part,” in Light Scattering by Small Particles (Dover, 1957), p. 209.
- H. M. Nussenzveig, “Uniform approximation in scattering by spheres,” J. Phys. A 21, 81–109 (1988), Section 4.2. [CrossRef]
- J. A. Lock and E. A. Hovenac, “Diffraction of a Gaussian beam by a spherical obstacle,” Am. J. Phys. 61, 698–707 (1993). [CrossRef]
- H. M. Nussenzveig, “The Debye expansion,” in Diffraction Effects in Semiclassical Scattering (Cambridge University, 1992), p. 96.
- E. P. Wigner, “Lower limit for the energy derivative of the scattered phase shift,” Phys. Rev. 98, 145–147 (1955). [CrossRef]
- H. M. Nussenzveig, “High-frequency scattering by an impenetrable sphere,” Ann. Phys. 34, 23–95 (1965). [CrossRef]
- H. M. Nussenzveig, “High-frequency scattering by a transparent sphere. I. Direct reflection and transmission,” J. Math. Phys. 10, 82–124 (1969). [CrossRef]
- V. Khare, “Short-wavelength scattering of electromagnetic waves by a homogeneous dielectric sphere,” Ph.D. dissertation (University of Rochester, 1976), pp. 89–109.
- M.Abramowitz and I.A.Stegun, eds., Handbook of Mathematical Functions (National Bureau of Standards, 1964), p. 366 Eq. (9.3.4), p. 448 Eq. (10.4.59), p. 449 Eq. (10.4.63).
- M.Abramowitz and I.A.Stegun, eds., Handbook of Mathematical Functions (National Bureau of Standards, 1964), p. 366 Eq. (9.3.4), p. 448 Eq. (10.4.60), p. 449 Eq. (10.4.64).
- M.Abramowitz and I.A.Stegun, eds., Handbook of Mathematical Functions (National Bureau of Standards, 1964), p. 366 Eq. (9.3.3).
- H. C. van de Hulst, “The reflected and refracted light,” in Light Scattering by Small Particles (Dover, 1957), p. 212.
- K. W. Ford and J. A. Wheeler, “Semiclassical description of scattering,” Ann. Phys. 7, 259–286 (1959). [CrossRef]
- D. Q. Chowdhury, S. C. Hill, and P. W. Barber, “Time dependence of internal intensity of a dielectric sphere on or near resonance,” J. Opt. Soc. Am. A 9, 1364–1373 (1992). [CrossRef]
- E. E. M. Khaled, D. Q. Chowdhury, S. C. Hill, and P. W. Barber, “Internal and scattered time-dependent intensity of a dielectric sphere illuminated with a pulsed Gaussian beam,” J. Opt. Soc. Am. A 11, 2065–2071 (1994). [CrossRef]
- K. S. Shifrin and I. G. Zolotov, “Quasi-stationary scattering of electromagnetic pulses by spherical particles,” Appl. Opt. 33, 7798–7804 (1994). [CrossRef] [PubMed]
- P. Laven, “Separating diffraction from scattering: the million-dollar challenge,” J. Nanophoton. 4, 041593 (2010). [CrossRef]
- J. A. Lock and P. Laven, “Mie scattering in the time domain. Part I. The role of surface waves,” J. Opt. Soc. Am. A 28, 1086–1095 (2011). [CrossRef]
- J. A. Lock, “Observability of atmospheric glories and supernumerary rainbows,” J. Opt. Soc. Am. A 6, 1924–1930(1989). [CrossRef]
- M.Abramowitz and I.A.Stegun, eds., “Bessel functions of fractional order,” in Handbook of Mathematical Functions(National Bureau of Standards, 1964), p. 478, Table 10.13.
- H. C. van de Hulst, “Theory based on Mie’s formulae,” in Light Scattering by Small Particles (Dover, 1957), p. 253.
- G. Arfken, “Recurrence relations and special properties,” in Mathematical Methods for Physicists, 3rd. ed. (Academic, 1985), p. 648 Eq. (12.28).
- J. J. Bowman, T. B. A. Senior, and P. L. E. Uslenghi, “Legendre functions,” in Electromagnetic and Acoustic Scattering by Simple Shapes (Hemisphere, 1969), p. 76 Eqs. (1.367, 1.369).
- H. M. Nussenzveig and W. J. Wiscombe, “Complex angular momentum approximation to hard-core scattering,” Phys. Rev. A 43, 2093–2112 (1991). [CrossRef] [PubMed]
- J. J. Bowman, T. B. A. Senior, and P. L. E. Uslenghi, “Legendre functions,” in Electromagnetic and Acoustic Scattering by Simple Shapes (Hemisphere, 1969), p. 72 Eq. (1.335).
- G. Arfken, “Asymptotic expansions,” in Mathematical Methods for Physicists, 3rd ed. (Academic, 1985), p. 620 Eq. (11.137).
- J. B. Keller, “A geometrical theory of diffraction,” in Calculus of Variations and Its Applications, Proceedings of Symposia in Applied Mathematics, L.M.Graves, ed. McGraw-Hill, 1958), Vol. 3, pp. 27–52.
- J. B. Keller, “Diffraction by an aperture,” J. Appl. Phys. 28, 426–444 (1957). [CrossRef]
- P. M. Morse and H. Feshbach, “Poisson sum formula,” in Methods of Theoretical Physics (McGraw-Hill, 1953), pp. 466–467.
- E. Hecht, “Babinet’s principle,” in Optics, 2nd ed. (Addison-Wesley, 1987), pp. 458–459.
- W. J. Wiscombe, “Improved Mie scattering algorithms,” Appl. Opt. 19, 1505–1509 (1980). [CrossRef] [PubMed]

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