J. Shen, H. Wang, B. Wang, H. Yu, and B. Yu, “Stability in Debye series calculation for light scattering by absorbing particles and bubbles,” J. Quant. Spectrosc. Radiat. Transfer 111, 772–781 (2010).

[CrossRef]

H. Yu, J. Shen, and Y. Wei, “Geometrical optics approximation for light scattering by absorbing spherical particles,” J. Quant. Spectosc. Radiat. Transfer 110, 1178–1189 (2009).

[CrossRef]

R. Li and X. Han, “Generalized Debye series expansion of electromagnetic plane wave scattering by an infinite multilayered cylinder at oblique incidence,” Phys. Rev. E 79, 036602(2009).

[CrossRef]

R. Li, X. Han, and K. Ren, “Debye series expansion of shaped beam scattering by GI-POF,” Opt. Commun. 282, 4315–4321(2009).

[CrossRef]

R. Li, X. Han, L. Shi, K. Ren, and H. Jiang, “Debye series for Gaussian beam scattering by a multilayered sphere,” Appl. Opt. 46, 4804–4812 (2007).

[CrossRef]
[PubMed]

X. Li, X. Han, R. Li, and H. Jiang, “Geometrical-optics approximation of forward scattering by gradient-index spheres,” Appl. Opt. 46, 5241–5247 (2007).

[CrossRef]
[PubMed]

L. Wu, H. Yang, X. Li, B. Yang, and G. Li, “Scattering by large bubbles: Comparisons between geometrical-optics theory and Debye series,” J. Quant. Spectrosc. Radiat. Transfer 108, 54–64 (2007).

[CrossRef]

X. Han, H. Jiang, K. Ren, and G. Gréhan, “On rainbows of inhomogeneous spherical droplets,” Opt. Commun. 269, 291–298 (2007).

[CrossRef]

F. Xu, K. Ren, and X. Cai, “Extension of geometrical optics approximation to on-axis Gaussian beam scattering. I. By a spherical particle,” Appl. Opt. 45, 4990–4999 (2006).

[CrossRef]
[PubMed]

R. Li, X. Han, H. Jiang, and K. Ren, “Debye series of normally incident plane-wave scattering by an infinite multilayered cylinder,” Appl. Opt. 45, 6255–6262 (2006).

[CrossRef]
[PubMed]

R. Li, X. Han, H. Jiang, and K. Ren, “Debye series for light scattering by a multilayered sphere,” Appl. Opt. 45, 1260–1270 (2006).

[CrossRef]
[PubMed]

P. Laven, “The optics of a water drop: Mie scattering and the Debye series,” http://www.philiplaven.com/index1.html (2004).

P. Laven, “Simulation of rainbows, coronas and glories using Mie theory and the Debye series,” J. Quant. Spectosc. Radiat. Transfer 89, 257–269 (2004).

[CrossRef]

Z. Wu, L. Guo, K. Ren, G. Gouesbet, and G. Gréhan, “Improved algorithm for electromagnetic scattering of plane waves and shaped beams by multilayered spheres,” Appl. Opt. 36, 5188–5198 (1997).

[CrossRef]
[PubMed]

J. A. Lock and C. L. Adler, “Debye series analysis of the first-order rainbow produced in scattering of a diagonally incident plane wave by a circular cylinder,” J. Opt. Soc. Am. A 14, 1316–1328 (1997).

[CrossRef]

Z. Wu and Y. Wang, “Electromagnetic scattering for multi-layered sphere: recursive algorithms,” Radio Sci. 26, 1393–1401 (1991).

[CrossRef]

H. M. Nussenzveig, “High-frequency scattering by a transparent sphere. I. Direct reflection and transmission,” J. Math. Phys. 10 (1), 82–124 (1969).

[CrossRef]

J. V. Dave, “Scattering of electromagnetic radiation by a large, absorbing sphere,” IBM J. Res. Dev. 13, 302–313 (1969).

[CrossRef]

P. Debye, “Das elektromagnetische Feld um einen Zylinder und die Theorie des Regenbogens,” Phys. Z. 9, 775–778 (1908).

G. Mie, “Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen,” Ann. Phys. (Leipzig) 25, 377–445 (1908).

[CrossRef]

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

P. Debye, “Das elektromagnetische Feld um einen Zylinder und die Theorie des Regenbogens,” Phys. Z. 9, 775–778 (1908).

G. Gouesbet, “Debye series formulation for generalized Lorenz-Mie theory with the Bromwich method,” Part. Part. Syst. Charact. 20, 382–386 (2003).

[CrossRef]

Z. Wu, L. Guo, K. Ren, G. Gouesbet, and G. Gréhan, “Improved algorithm for electromagnetic scattering of plane waves and shaped beams by multilayered spheres,” Appl. Opt. 36, 5188–5198 (1997).

[CrossRef]
[PubMed]

X. Han, H. Jiang, K. Ren, and G. Gréhan, “On rainbows of inhomogeneous spherical droplets,” Opt. Commun. 269, 291–298 (2007).

[CrossRef]

Z. Wu, L. Guo, K. Ren, G. Gouesbet, and G. Gréhan, “Improved algorithm for electromagnetic scattering of plane waves and shaped beams by multilayered spheres,” Appl. Opt. 36, 5188–5198 (1997).

[CrossRef]
[PubMed]

R. Li and X. Han, “Generalized Debye series expansion of electromagnetic plane wave scattering by an infinite multilayered cylinder at oblique incidence,” Phys. Rev. E 79, 036602(2009).

[CrossRef]

R. Li, X. Han, and K. Ren, “Debye series expansion of shaped beam scattering by GI-POF,” Opt. Commun. 282, 4315–4321(2009).

[CrossRef]

R. Li, X. Han, L. Shi, K. Ren, and H. Jiang, “Debye series for Gaussian beam scattering by a multilayered sphere,” Appl. Opt. 46, 4804–4812 (2007).

[CrossRef]
[PubMed]

X. Li, X. Han, R. Li, and H. Jiang, “Geometrical-optics approximation of forward scattering by gradient-index spheres,” Appl. Opt. 46, 5241–5247 (2007).

[CrossRef]
[PubMed]

X. Han, H. Jiang, K. Ren, and G. Gréhan, “On rainbows of inhomogeneous spherical droplets,” Opt. Commun. 269, 291–298 (2007).

[CrossRef]

R. Li, X. Han, H. Jiang, and K. Ren, “Debye series for light scattering by a multilayered sphere,” Appl. Opt. 45, 1260–1270 (2006).

[CrossRef]
[PubMed]

R. Li, X. Han, H. Jiang, and K. Ren, “Debye series of normally incident plane-wave scattering by an infinite multilayered cylinder,” Appl. Opt. 45, 6255–6262 (2006).

[CrossRef]
[PubMed]

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

X. Han, H. Jiang, K. Ren, and G. Gréhan, “On rainbows of inhomogeneous spherical droplets,” Opt. Commun. 269, 291–298 (2007).

[CrossRef]

X. Li, X. Han, R. Li, and H. Jiang, “Geometrical-optics approximation of forward scattering by gradient-index spheres,” Appl. Opt. 46, 5241–5247 (2007).

[CrossRef]
[PubMed]

R. Li, X. Han, L. Shi, K. Ren, and H. Jiang, “Debye series for Gaussian beam scattering by a multilayered sphere,” Appl. Opt. 46, 4804–4812 (2007).

[CrossRef]
[PubMed]

R. Li, X. Han, H. Jiang, and K. Ren, “Debye series of normally incident plane-wave scattering by an infinite multilayered cylinder,” Appl. Opt. 45, 6255–6262 (2006).

[CrossRef]
[PubMed]

R. Li, X. Han, H. Jiang, and K. Ren, “Debye series for light scattering by a multilayered sphere,” Appl. Opt. 45, 1260–1270 (2006).

[CrossRef]
[PubMed]

M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, 1969).

P. Laven, “How are glories formed?,” Appl. Opt. 44, 5675–5683 (2005).

[CrossRef]
[PubMed]

P. Laven, “The optics of a water drop: Mie scattering and the Debye series,” http://www.philiplaven.com/index1.html (2004).

P. Laven, “Simulation of rainbows, coronas and glories using Mie theory and the Debye series,” J. Quant. Spectosc. Radiat. Transfer 89, 257–269 (2004).

[CrossRef]

P. Laven, “MiePlot: a computer program for scattering of light from a sphere using Mie theory & the Debye series,” http://www.philiplaven.com/mieplot.htm (2009).

L. Wu, H. Yang, X. Li, B. Yang, and G. Li, “Scattering by large bubbles: Comparisons between geometrical-optics theory and Debye series,” J. Quant. Spectrosc. Radiat. Transfer 108, 54–64 (2007).

[CrossRef]

R. Li, X. Han, and K. Ren, “Debye series expansion of shaped beam scattering by GI-POF,” Opt. Commun. 282, 4315–4321(2009).

[CrossRef]

R. Li and X. Han, “Generalized Debye series expansion of electromagnetic plane wave scattering by an infinite multilayered cylinder at oblique incidence,” Phys. Rev. E 79, 036602(2009).

[CrossRef]

R. Li, X. Han, L. Shi, K. Ren, and H. Jiang, “Debye series for Gaussian beam scattering by a multilayered sphere,” Appl. Opt. 46, 4804–4812 (2007).

[CrossRef]
[PubMed]

X. Li, X. Han, R. Li, and H. Jiang, “Geometrical-optics approximation of forward scattering by gradient-index spheres,” Appl. Opt. 46, 5241–5247 (2007).

[CrossRef]
[PubMed]

R. Li, X. Han, H. Jiang, and K. Ren, “Debye series of normally incident plane-wave scattering by an infinite multilayered cylinder,” Appl. Opt. 45, 6255–6262 (2006).

[CrossRef]
[PubMed]

R. Li, X. Han, H. Jiang, and K. Ren, “Debye series for light scattering by a multilayered sphere,” Appl. Opt. 45, 1260–1270 (2006).

[CrossRef]
[PubMed]

L. Wu, H. Yang, X. Li, B. Yang, and G. Li, “Scattering by large bubbles: Comparisons between geometrical-optics theory and Debye series,” J. Quant. Spectrosc. Radiat. Transfer 108, 54–64 (2007).

[CrossRef]

X. Li, X. Han, R. Li, and H. Jiang, “Geometrical-optics approximation of forward scattering by gradient-index spheres,” Appl. Opt. 46, 5241–5247 (2007).

[CrossRef]
[PubMed]

J. A. Lock and C. L. Adler, “Debye series analysis of the first-order rainbow produced in scattering of a diagonally incident plane wave by a circular cylinder,” J. Opt. Soc. Am. A 14, 1316–1328 (1997).

[CrossRef]

J. A. Lock, J. M. Jamison, and C. Lin, “Rainbow scattering by a coated sphere,” Appl. Opt. 33, 4677–4690 (1994).

[CrossRef]
[PubMed]

J. A. Lock, “Contribution of high-order rainbows to the scattering of a Gaussian laser beam by a spherical particle,” J. Opt. Soc. Am. A 10, 693–706 (1993).

[CrossRef]

E. A. Hovenac and J. A. Lock, “Assessing the contributions of surface waves and complex rays to far-field Mie scattering by use of the Debye series,” J. Opt. Soc. Am. A 9, 781–795 (1992).

[CrossRef]

J. A. Lock, “Cooperative effects among partial waves in Mie scattering,” J. Opt. Soc. Am. A 5, 2032–2044 (1988).

[CrossRef]

G. Mie, “Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen,” Ann. Phys. (Leipzig) 25, 377–445 (1908).

[CrossRef]

H. M. Nussenzveig, “High-frequency scattering by a transparent sphere. I. Direct reflection and transmission,” J. Math. Phys. 10 (1), 82–124 (1969).

[CrossRef]

R. Li, X. Han, and K. Ren, “Debye series expansion of shaped beam scattering by GI-POF,” Opt. Commun. 282, 4315–4321(2009).

[CrossRef]

R. Li, X. Han, L. Shi, K. Ren, and H. Jiang, “Debye series for Gaussian beam scattering by a multilayered sphere,” Appl. Opt. 46, 4804–4812 (2007).

[CrossRef]
[PubMed]

X. Han, H. Jiang, K. Ren, and G. Gréhan, “On rainbows of inhomogeneous spherical droplets,” Opt. Commun. 269, 291–298 (2007).

[CrossRef]

F. Xu, K. Ren, and X. Cai, “Extension of geometrical optics approximation to on-axis Gaussian beam scattering. I. By a spherical particle,” Appl. Opt. 45, 4990–4999 (2006).

[CrossRef]
[PubMed]

R. Li, X. Han, H. Jiang, and K. Ren, “Debye series for light scattering by a multilayered sphere,” Appl. Opt. 45, 1260–1270 (2006).

[CrossRef]
[PubMed]

R. Li, X. Han, H. Jiang, and K. Ren, “Debye series of normally incident plane-wave scattering by an infinite multilayered cylinder,” Appl. Opt. 45, 6255–6262 (2006).

[CrossRef]
[PubMed]

Z. Wu, L. Guo, K. Ren, G. Gouesbet, and G. Gréhan, “Improved algorithm for electromagnetic scattering of plane waves and shaped beams by multilayered spheres,” Appl. Opt. 36, 5188–5198 (1997).

[CrossRef]
[PubMed]

J. Shen, H. Wang, B. Wang, H. Yu, and B. Yu, “Stability in Debye series calculation for light scattering by absorbing particles and bubbles,” J. Quant. Spectrosc. Radiat. Transfer 111, 772–781 (2010).

[CrossRef]

H. Yu, J. Shen, and Y. Wei, “Geometrical optics approximation for light scattering by absorbing spherical particles,” J. Quant. Spectosc. Radiat. Transfer 110, 1178–1189 (2009).

[CrossRef]

J. Shen and X. Cai, “Algorithm of numerical calculation on Lorentz Mie theory,” PIERS Online 1, 691–694 (2005).

[CrossRef]

H. C. van de Hulst, Light Scattering by Small Particles(Chapman & Hall, 1957).

J. Shen, H. Wang, B. Wang, H. Yu, and B. Yu, “Stability in Debye series calculation for light scattering by absorbing particles and bubbles,” J. Quant. Spectrosc. Radiat. Transfer 111, 772–781 (2010).

[CrossRef]

J. Shen, H. Wang, B. Wang, H. Yu, and B. Yu, “Stability in Debye series calculation for light scattering by absorbing particles and bubbles,” J. Quant. Spectrosc. Radiat. Transfer 111, 772–781 (2010).

[CrossRef]

Z. Wu and Y. Wang, “Electromagnetic scattering for multi-layered sphere: recursive algorithms,” Radio Sci. 26, 1393–1401 (1991).

[CrossRef]

H. Yu, J. Shen, and Y. Wei, “Geometrical optics approximation for light scattering by absorbing spherical particles,” J. Quant. Spectosc. Radiat. Transfer 110, 1178–1189 (2009).

[CrossRef]

L. Wu, H. Yang, X. Li, B. Yang, and G. Li, “Scattering by large bubbles: Comparisons between geometrical-optics theory and Debye series,” J. Quant. Spectrosc. Radiat. Transfer 108, 54–64 (2007).

[CrossRef]

Z. Wu, L. Guo, K. Ren, G. Gouesbet, and G. Gréhan, “Improved algorithm for electromagnetic scattering of plane waves and shaped beams by multilayered spheres,” Appl. Opt. 36, 5188–5198 (1997).

[CrossRef]
[PubMed]

Z. Wu and Y. Wang, “Electromagnetic scattering for multi-layered sphere: recursive algorithms,” Radio Sci. 26, 1393–1401 (1991).

[CrossRef]

L. Wu, H. Yang, X. Li, B. Yang, and G. Li, “Scattering by large bubbles: Comparisons between geometrical-optics theory and Debye series,” J. Quant. Spectrosc. Radiat. Transfer 108, 54–64 (2007).

[CrossRef]

L. Wu, H. Yang, X. Li, B. Yang, and G. Li, “Scattering by large bubbles: Comparisons between geometrical-optics theory and Debye series,” J. Quant. Spectrosc. Radiat. Transfer 108, 54–64 (2007).

[CrossRef]

J. Shen, H. Wang, B. Wang, H. Yu, and B. Yu, “Stability in Debye series calculation for light scattering by absorbing particles and bubbles,” J. Quant. Spectrosc. Radiat. Transfer 111, 772–781 (2010).

[CrossRef]

J. Shen, H. Wang, B. Wang, H. Yu, and B. Yu, “Stability in Debye series calculation for light scattering by absorbing particles and bubbles,” J. Quant. Spectrosc. Radiat. Transfer 111, 772–781 (2010).

[CrossRef]

H. Yu, J. Shen, and Y. Wei, “Geometrical optics approximation for light scattering by absorbing spherical particles,” J. Quant. Spectosc. Radiat. Transfer 110, 1178–1189 (2009).

[CrossRef]

G. Mie, “Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen,” Ann. Phys. (Leipzig) 25, 377–445 (1908).

[CrossRef]

J. V. Dave, “Coefficients of the Legendre and Fourier series for the scattering functions of spherical particles,” Appl. Opt. 9, 1888–1896 (1970).

[PubMed]

W. J. Lentz, “Generating Bessel functions in Mie scattering calculations using continued fractions,” Appl. Opt. 15, 668–671 (1976).

[CrossRef]
[PubMed]

W. J. Wiscombe, “Improved Mie scattering algorithms,” Appl. Opt. 19, 1505–1509 (1980).

[CrossRef]
[PubMed]

J. A. Lock, J. M. Jamison, and C. Lin, “Rainbow scattering by a coated sphere,” Appl. Opt. 33, 4677–4690 (1994).

[CrossRef]
[PubMed]

G. Roll, T. Kaiser, and G. Schweiger, “Controlled modification of the expansion order as a tool in Mie computations,” Appl. Opt. 37, 2483–2492 (1998).

[CrossRef]

Z. Wu, L. Guo, K. Ren, G. Gouesbet, and G. Gréhan, “Improved algorithm for electromagnetic scattering of plane waves and shaped beams by multilayered spheres,” Appl. Opt. 36, 5188–5198 (1997).

[CrossRef]
[PubMed]

W. Yang, “Improved recursive algorithm for light scattering by a multilayered sphere,” Appl. Opt. 42, 1710–1720 (2003).

[CrossRef]
[PubMed]

P. Laven, “How are glories formed?,” Appl. Opt. 44, 5675–5683 (2005).

[CrossRef]
[PubMed]

R. Li, X. Han, H. Jiang, and K. Ren, “Debye series for light scattering by a multilayered sphere,” Appl. Opt. 45, 1260–1270 (2006).

[CrossRef]
[PubMed]

F. Xu, K. Ren, and X. Cai, “Extension of geometrical optics approximation to on-axis Gaussian beam scattering. I. By a spherical particle,” Appl. Opt. 45, 4990–4999 (2006).

[CrossRef]
[PubMed]

R. Li, X. Han, H. Jiang, and K. Ren, “Debye series of normally incident plane-wave scattering by an infinite multilayered cylinder,” Appl. Opt. 45, 6255–6262 (2006).

[CrossRef]
[PubMed]

R. Li, X. Han, L. Shi, K. Ren, and H. Jiang, “Debye series for Gaussian beam scattering by a multilayered sphere,” Appl. Opt. 46, 4804–4812 (2007).

[CrossRef]
[PubMed]

X. Li, X. Han, R. Li, and H. Jiang, “Geometrical-optics approximation of forward scattering by gradient-index spheres,” Appl. Opt. 46, 5241–5247 (2007).

[CrossRef]
[PubMed]

J. V. Dave, “Scattering of electromagnetic radiation by a large, absorbing sphere,” IBM J. Res. Dev. 13, 302–313 (1969).

[CrossRef]

H. M. Nussenzveig, “High-frequency scattering by a transparent sphere. I. Direct reflection and transmission,” J. Math. Phys. 10 (1), 82–124 (1969).

[CrossRef]

J. A. Lock and C. L. Adler, “Debye series analysis of the first-order rainbow produced in scattering of a diagonally incident plane wave by a circular cylinder,” J. Opt. Soc. Am. A 14, 1316–1328 (1997).

[CrossRef]

J. A. Lock, “Cooperative effects among partial waves in Mie scattering,” J. Opt. Soc. Am. A 5, 2032–2044 (1988).

[CrossRef]

E. A. Hovenac and J. A. Lock, “Assessing the contributions of surface waves and complex rays to far-field Mie scattering by use of the Debye series,” J. Opt. Soc. Am. A 9, 781–795 (1992).

[CrossRef]

J. A. Lock, “Contribution of high-order rainbows to the scattering of a Gaussian laser beam by a spherical particle,” J. Opt. Soc. Am. A 10, 693–706 (1993).

[CrossRef]

P. Laven, “Simulation of rainbows, coronas and glories using Mie theory and the Debye series,” J. Quant. Spectosc. Radiat. Transfer 89, 257–269 (2004).

[CrossRef]

H. Yu, J. Shen, and Y. Wei, “Geometrical optics approximation for light scattering by absorbing spherical particles,” J. Quant. Spectosc. Radiat. Transfer 110, 1178–1189 (2009).

[CrossRef]

L. Wu, H. Yang, X. Li, B. Yang, and G. Li, “Scattering by large bubbles: Comparisons between geometrical-optics theory and Debye series,” J. Quant. Spectrosc. Radiat. Transfer 108, 54–64 (2007).

[CrossRef]

J. Shen, H. Wang, B. Wang, H. Yu, and B. Yu, “Stability in Debye series calculation for light scattering by absorbing particles and bubbles,” J. Quant. Spectrosc. Radiat. Transfer 111, 772–781 (2010).

[CrossRef]

X. Han, H. Jiang, K. Ren, and G. Gréhan, “On rainbows of inhomogeneous spherical droplets,” Opt. Commun. 269, 291–298 (2007).

[CrossRef]

R. Li, X. Han, and K. Ren, “Debye series expansion of shaped beam scattering by GI-POF,” Opt. Commun. 282, 4315–4321(2009).

[CrossRef]

G. Gouesbet, “Debye series formulation for generalized Lorenz-Mie theory with the Bromwich method,” Part. Part. Syst. Charact. 20, 382–386 (2003).

[CrossRef]

R. Li and X. Han, “Generalized Debye series expansion of electromagnetic plane wave scattering by an infinite multilayered cylinder at oblique incidence,” Phys. Rev. E 79, 036602(2009).

[CrossRef]

P. Debye, “Das elektromagnetische Feld um einen Zylinder und die Theorie des Regenbogens,” Phys. Z. 9, 775–778 (1908).

J. Shen and X. Cai, “Algorithm of numerical calculation on Lorentz Mie theory,” PIERS Online 1, 691–694 (2005).

[CrossRef]

Z. Wu and Y. Wang, “Electromagnetic scattering for multi-layered sphere: recursive algorithms,” Radio Sci. 26, 1393–1401 (1991).

[CrossRef]

P. Laven, “MiePlot: a computer program for scattering of light from a sphere using Mie theory & the Debye series,” http://www.philiplaven.com/mieplot.htm (2009).

P. Laven, “The optics of a water drop: Mie scattering and the Debye series,” http://www.philiplaven.com/index1.html (2004).

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, 1969).

H. C. van de Hulst, Light Scattering by Small Particles(Chapman & Hall, 1957).