Abstract

Light scattering from nonspherically symmetric pure dielectric structures is examined. From the finite element full-wave analysis, it is found that teardrop-shaped scatterers can focus visible light to a 10nm spot with an intensity enhancement 105 when the incident light is radially polarized.

© 2014 Optical Society of America

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References

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  1. E. Hecht, Optics, 4th ed. (Addison-Wesley, 2002).
  2. R. Heintzmann and G. Ficz, Methods Cell Biol. 81, 561 (2007).
    [CrossRef]
  3. E. Betzig, J. K. Trautman, T. D. Harris, J. S. Weiner, and R. L. Kostelak, Science 251, 1468 (1991).
    [CrossRef]
  4. Z. W. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, Nano Lett. 5, 1726 (2005).
    [CrossRef]
  5. P. Srisungsitthisunti, O. K. Ersoy, and X. F. Xu, Appl. Phys. Lett. 98, 223106 (2011).
    [CrossRef]
  6. L. Pan, Y. Park, Y. Xiong, E. Ulin-Avila, Y. Wang, L. Zeng, S. M. Xiong, J. Rho, C. Sun, D. B. Bogy, and X. Zhang, Sci. Rep. 1, 175 (2011).
    [CrossRef]
  7. A. Hartschuh, Angew. Chem., Int. Ed. Engl. 47, 8178 (2008).
    [CrossRef]
  8. A. Soni and S. B. Wen, J. Phys. D 45, 185101 (2012).
    [CrossRef]
  9. E. D. Palik and G. Ghosh, Handbook of Optical Constants of Solids (Academic, 1998).
  10. K. Sendur and A. Sahinoz, Opt. Express 17, 10910 (2009).
    [CrossRef]
  11. A. Heifetz, S. C. Kong, A. V. Sahakian, A. Taflove, and V. Backman, J. Comput. Theor. Nanosci. 6, 1979 (2009).
  12. Z. W. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science 315, 1686 (2007).
    [CrossRef]
  13. W. Srituravanich, L. Pan, Y. Wang, C. Sun, D. B. Bogy, and X. Zhang, Nat. Nanotechnol. 3, 733 (2008).
    [CrossRef]
  14. B. Bhushan, Scanning Probe Microscopy in Nanoscience and Nanotechnology (Springer, 2010).
  15. B. Bennett, S. Goldberg, B. Ippolito, L. Novotny, Z. H. Liu, and M. S. Unlu, IEEE J. Sel. Top. Quantum Electron. 8, 1051 (2002).
    [CrossRef]
  16. M. Duocastella and C. B. Arnold, Laser Photon. Rev. 6, 607 (2012).
    [CrossRef]
  17. T. Watanabe, M. Fujii, Y. Watanabe, N. Toyama, and Y. Iketaki, Rev. Sci. Instrum. 75, 5131 (2004).
    [CrossRef]
  18. S. R. Mishra, Opt. Commun. 85, 159 (1991).
    [CrossRef]
  19. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).
  20. G. Gouesbet, J. A. Lock, and G. Grehan, J. Quant. Spectrosc. Radiat. Transfer 112, 1 (2011).
    [CrossRef]
  21. S. Lecler, Y. Takakura, and P. Meyrueis, Opt. Lett. 30, 2641 (2005).
    [CrossRef]
  22. R. Siegel and J. R. Howell, Thermal Radiation Heat Transfer, 3rd ed. (Hemisphere, 1992).

2012

A. Soni and S. B. Wen, J. Phys. D 45, 185101 (2012).
[CrossRef]

M. Duocastella and C. B. Arnold, Laser Photon. Rev. 6, 607 (2012).
[CrossRef]

2011

G. Gouesbet, J. A. Lock, and G. Grehan, J. Quant. Spectrosc. Radiat. Transfer 112, 1 (2011).
[CrossRef]

P. Srisungsitthisunti, O. K. Ersoy, and X. F. Xu, Appl. Phys. Lett. 98, 223106 (2011).
[CrossRef]

L. Pan, Y. Park, Y. Xiong, E. Ulin-Avila, Y. Wang, L. Zeng, S. M. Xiong, J. Rho, C. Sun, D. B. Bogy, and X. Zhang, Sci. Rep. 1, 175 (2011).
[CrossRef]

2009

K. Sendur and A. Sahinoz, Opt. Express 17, 10910 (2009).
[CrossRef]

A. Heifetz, S. C. Kong, A. V. Sahakian, A. Taflove, and V. Backman, J. Comput. Theor. Nanosci. 6, 1979 (2009).

2008

A. Hartschuh, Angew. Chem., Int. Ed. Engl. 47, 8178 (2008).
[CrossRef]

W. Srituravanich, L. Pan, Y. Wang, C. Sun, D. B. Bogy, and X. Zhang, Nat. Nanotechnol. 3, 733 (2008).
[CrossRef]

2007

R. Heintzmann and G. Ficz, Methods Cell Biol. 81, 561 (2007).
[CrossRef]

Z. W. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science 315, 1686 (2007).
[CrossRef]

2005

S. Lecler, Y. Takakura, and P. Meyrueis, Opt. Lett. 30, 2641 (2005).
[CrossRef]

Z. W. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, Nano Lett. 5, 1726 (2005).
[CrossRef]

2004

T. Watanabe, M. Fujii, Y. Watanabe, N. Toyama, and Y. Iketaki, Rev. Sci. Instrum. 75, 5131 (2004).
[CrossRef]

2002

B. Bennett, S. Goldberg, B. Ippolito, L. Novotny, Z. H. Liu, and M. S. Unlu, IEEE J. Sel. Top. Quantum Electron. 8, 1051 (2002).
[CrossRef]

1991

S. R. Mishra, Opt. Commun. 85, 159 (1991).
[CrossRef]

E. Betzig, J. K. Trautman, T. D. Harris, J. S. Weiner, and R. L. Kostelak, Science 251, 1468 (1991).
[CrossRef]

Arnold, C. B.

M. Duocastella and C. B. Arnold, Laser Photon. Rev. 6, 607 (2012).
[CrossRef]

Backman, V.

A. Heifetz, S. C. Kong, A. V. Sahakian, A. Taflove, and V. Backman, J. Comput. Theor. Nanosci. 6, 1979 (2009).

Bennett, B.

B. Bennett, S. Goldberg, B. Ippolito, L. Novotny, Z. H. Liu, and M. S. Unlu, IEEE J. Sel. Top. Quantum Electron. 8, 1051 (2002).
[CrossRef]

Betzig, E.

E. Betzig, J. K. Trautman, T. D. Harris, J. S. Weiner, and R. L. Kostelak, Science 251, 1468 (1991).
[CrossRef]

Bhushan, B.

B. Bhushan, Scanning Probe Microscopy in Nanoscience and Nanotechnology (Springer, 2010).

Bogy, D. B.

L. Pan, Y. Park, Y. Xiong, E. Ulin-Avila, Y. Wang, L. Zeng, S. M. Xiong, J. Rho, C. Sun, D. B. Bogy, and X. Zhang, Sci. Rep. 1, 175 (2011).
[CrossRef]

W. Srituravanich, L. Pan, Y. Wang, C. Sun, D. B. Bogy, and X. Zhang, Nat. Nanotechnol. 3, 733 (2008).
[CrossRef]

Bohren, C. F.

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

Duocastella, M.

M. Duocastella and C. B. Arnold, Laser Photon. Rev. 6, 607 (2012).
[CrossRef]

Ersoy, O. K.

P. Srisungsitthisunti, O. K. Ersoy, and X. F. Xu, Appl. Phys. Lett. 98, 223106 (2011).
[CrossRef]

Ficz, G.

R. Heintzmann and G. Ficz, Methods Cell Biol. 81, 561 (2007).
[CrossRef]

Fujii, M.

T. Watanabe, M. Fujii, Y. Watanabe, N. Toyama, and Y. Iketaki, Rev. Sci. Instrum. 75, 5131 (2004).
[CrossRef]

Ghosh, G.

E. D. Palik and G. Ghosh, Handbook of Optical Constants of Solids (Academic, 1998).

Goldberg, S.

B. Bennett, S. Goldberg, B. Ippolito, L. Novotny, Z. H. Liu, and M. S. Unlu, IEEE J. Sel. Top. Quantum Electron. 8, 1051 (2002).
[CrossRef]

Gouesbet, G.

G. Gouesbet, J. A. Lock, and G. Grehan, J. Quant. Spectrosc. Radiat. Transfer 112, 1 (2011).
[CrossRef]

Grehan, G.

G. Gouesbet, J. A. Lock, and G. Grehan, J. Quant. Spectrosc. Radiat. Transfer 112, 1 (2011).
[CrossRef]

Harris, T. D.

E. Betzig, J. K. Trautman, T. D. Harris, J. S. Weiner, and R. L. Kostelak, Science 251, 1468 (1991).
[CrossRef]

Hartschuh, A.

A. Hartschuh, Angew. Chem., Int. Ed. Engl. 47, 8178 (2008).
[CrossRef]

Hecht, E.

E. Hecht, Optics, 4th ed. (Addison-Wesley, 2002).

Heifetz, A.

A. Heifetz, S. C. Kong, A. V. Sahakian, A. Taflove, and V. Backman, J. Comput. Theor. Nanosci. 6, 1979 (2009).

Heintzmann, R.

R. Heintzmann and G. Ficz, Methods Cell Biol. 81, 561 (2007).
[CrossRef]

Howell, J. R.

R. Siegel and J. R. Howell, Thermal Radiation Heat Transfer, 3rd ed. (Hemisphere, 1992).

Huffman, D. R.

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

Iketaki, Y.

T. Watanabe, M. Fujii, Y. Watanabe, N. Toyama, and Y. Iketaki, Rev. Sci. Instrum. 75, 5131 (2004).
[CrossRef]

Ippolito, B.

B. Bennett, S. Goldberg, B. Ippolito, L. Novotny, Z. H. Liu, and M. S. Unlu, IEEE J. Sel. Top. Quantum Electron. 8, 1051 (2002).
[CrossRef]

Kong, S. C.

A. Heifetz, S. C. Kong, A. V. Sahakian, A. Taflove, and V. Backman, J. Comput. Theor. Nanosci. 6, 1979 (2009).

Kostelak, R. L.

E. Betzig, J. K. Trautman, T. D. Harris, J. S. Weiner, and R. L. Kostelak, Science 251, 1468 (1991).
[CrossRef]

Lecler, S.

Lee, H.

Z. W. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science 315, 1686 (2007).
[CrossRef]

Liu, Z. H.

B. Bennett, S. Goldberg, B. Ippolito, L. Novotny, Z. H. Liu, and M. S. Unlu, IEEE J. Sel. Top. Quantum Electron. 8, 1051 (2002).
[CrossRef]

Liu, Z. W.

Z. W. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science 315, 1686 (2007).
[CrossRef]

Z. W. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, Nano Lett. 5, 1726 (2005).
[CrossRef]

Lock, J. A.

G. Gouesbet, J. A. Lock, and G. Grehan, J. Quant. Spectrosc. Radiat. Transfer 112, 1 (2011).
[CrossRef]

Meyrueis, P.

Mishra, S. R.

S. R. Mishra, Opt. Commun. 85, 159 (1991).
[CrossRef]

Novotny, L.

B. Bennett, S. Goldberg, B. Ippolito, L. Novotny, Z. H. Liu, and M. S. Unlu, IEEE J. Sel. Top. Quantum Electron. 8, 1051 (2002).
[CrossRef]

Palik, E. D.

E. D. Palik and G. Ghosh, Handbook of Optical Constants of Solids (Academic, 1998).

Pan, L.

L. Pan, Y. Park, Y. Xiong, E. Ulin-Avila, Y. Wang, L. Zeng, S. M. Xiong, J. Rho, C. Sun, D. B. Bogy, and X. Zhang, Sci. Rep. 1, 175 (2011).
[CrossRef]

W. Srituravanich, L. Pan, Y. Wang, C. Sun, D. B. Bogy, and X. Zhang, Nat. Nanotechnol. 3, 733 (2008).
[CrossRef]

Park, Y.

L. Pan, Y. Park, Y. Xiong, E. Ulin-Avila, Y. Wang, L. Zeng, S. M. Xiong, J. Rho, C. Sun, D. B. Bogy, and X. Zhang, Sci. Rep. 1, 175 (2011).
[CrossRef]

Pikus, Y.

Z. W. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, Nano Lett. 5, 1726 (2005).
[CrossRef]

Rho, J.

L. Pan, Y. Park, Y. Xiong, E. Ulin-Avila, Y. Wang, L. Zeng, S. M. Xiong, J. Rho, C. Sun, D. B. Bogy, and X. Zhang, Sci. Rep. 1, 175 (2011).
[CrossRef]

Sahakian, A. V.

A. Heifetz, S. C. Kong, A. V. Sahakian, A. Taflove, and V. Backman, J. Comput. Theor. Nanosci. 6, 1979 (2009).

Sahinoz, A.

Sendur, K.

Siegel, R.

R. Siegel and J. R. Howell, Thermal Radiation Heat Transfer, 3rd ed. (Hemisphere, 1992).

Soni, A.

A. Soni and S. B. Wen, J. Phys. D 45, 185101 (2012).
[CrossRef]

Srisungsitthisunti, P.

P. Srisungsitthisunti, O. K. Ersoy, and X. F. Xu, Appl. Phys. Lett. 98, 223106 (2011).
[CrossRef]

Srituravanich, W.

W. Srituravanich, L. Pan, Y. Wang, C. Sun, D. B. Bogy, and X. Zhang, Nat. Nanotechnol. 3, 733 (2008).
[CrossRef]

Z. W. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, Nano Lett. 5, 1726 (2005).
[CrossRef]

Steele, J. M.

Z. W. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, Nano Lett. 5, 1726 (2005).
[CrossRef]

Sun, C.

L. Pan, Y. Park, Y. Xiong, E. Ulin-Avila, Y. Wang, L. Zeng, S. M. Xiong, J. Rho, C. Sun, D. B. Bogy, and X. Zhang, Sci. Rep. 1, 175 (2011).
[CrossRef]

W. Srituravanich, L. Pan, Y. Wang, C. Sun, D. B. Bogy, and X. Zhang, Nat. Nanotechnol. 3, 733 (2008).
[CrossRef]

Z. W. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science 315, 1686 (2007).
[CrossRef]

Z. W. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, Nano Lett. 5, 1726 (2005).
[CrossRef]

Taflove, A.

A. Heifetz, S. C. Kong, A. V. Sahakian, A. Taflove, and V. Backman, J. Comput. Theor. Nanosci. 6, 1979 (2009).

Takakura, Y.

Toyama, N.

T. Watanabe, M. Fujii, Y. Watanabe, N. Toyama, and Y. Iketaki, Rev. Sci. Instrum. 75, 5131 (2004).
[CrossRef]

Trautman, J. K.

E. Betzig, J. K. Trautman, T. D. Harris, J. S. Weiner, and R. L. Kostelak, Science 251, 1468 (1991).
[CrossRef]

Ulin-Avila, E.

L. Pan, Y. Park, Y. Xiong, E. Ulin-Avila, Y. Wang, L. Zeng, S. M. Xiong, J. Rho, C. Sun, D. B. Bogy, and X. Zhang, Sci. Rep. 1, 175 (2011).
[CrossRef]

Unlu, M. S.

B. Bennett, S. Goldberg, B. Ippolito, L. Novotny, Z. H. Liu, and M. S. Unlu, IEEE J. Sel. Top. Quantum Electron. 8, 1051 (2002).
[CrossRef]

Wang, Y.

L. Pan, Y. Park, Y. Xiong, E. Ulin-Avila, Y. Wang, L. Zeng, S. M. Xiong, J. Rho, C. Sun, D. B. Bogy, and X. Zhang, Sci. Rep. 1, 175 (2011).
[CrossRef]

W. Srituravanich, L. Pan, Y. Wang, C. Sun, D. B. Bogy, and X. Zhang, Nat. Nanotechnol. 3, 733 (2008).
[CrossRef]

Watanabe, T.

T. Watanabe, M. Fujii, Y. Watanabe, N. Toyama, and Y. Iketaki, Rev. Sci. Instrum. 75, 5131 (2004).
[CrossRef]

Watanabe, Y.

T. Watanabe, M. Fujii, Y. Watanabe, N. Toyama, and Y. Iketaki, Rev. Sci. Instrum. 75, 5131 (2004).
[CrossRef]

Weiner, J. S.

E. Betzig, J. K. Trautman, T. D. Harris, J. S. Weiner, and R. L. Kostelak, Science 251, 1468 (1991).
[CrossRef]

Wen, S. B.

A. Soni and S. B. Wen, J. Phys. D 45, 185101 (2012).
[CrossRef]

Xiong, S. M.

L. Pan, Y. Park, Y. Xiong, E. Ulin-Avila, Y. Wang, L. Zeng, S. M. Xiong, J. Rho, C. Sun, D. B. Bogy, and X. Zhang, Sci. Rep. 1, 175 (2011).
[CrossRef]

Xiong, Y.

L. Pan, Y. Park, Y. Xiong, E. Ulin-Avila, Y. Wang, L. Zeng, S. M. Xiong, J. Rho, C. Sun, D. B. Bogy, and X. Zhang, Sci. Rep. 1, 175 (2011).
[CrossRef]

Z. W. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science 315, 1686 (2007).
[CrossRef]

Xu, X. F.

P. Srisungsitthisunti, O. K. Ersoy, and X. F. Xu, Appl. Phys. Lett. 98, 223106 (2011).
[CrossRef]

Zeng, L.

L. Pan, Y. Park, Y. Xiong, E. Ulin-Avila, Y. Wang, L. Zeng, S. M. Xiong, J. Rho, C. Sun, D. B. Bogy, and X. Zhang, Sci. Rep. 1, 175 (2011).
[CrossRef]

Zhang, X.

L. Pan, Y. Park, Y. Xiong, E. Ulin-Avila, Y. Wang, L. Zeng, S. M. Xiong, J. Rho, C. Sun, D. B. Bogy, and X. Zhang, Sci. Rep. 1, 175 (2011).
[CrossRef]

W. Srituravanich, L. Pan, Y. Wang, C. Sun, D. B. Bogy, and X. Zhang, Nat. Nanotechnol. 3, 733 (2008).
[CrossRef]

Z. W. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science 315, 1686 (2007).
[CrossRef]

Z. W. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, Nano Lett. 5, 1726 (2005).
[CrossRef]

Angew. Chem., Int. Ed. Engl.

A. Hartschuh, Angew. Chem., Int. Ed. Engl. 47, 8178 (2008).
[CrossRef]

Appl. Phys. Lett.

P. Srisungsitthisunti, O. K. Ersoy, and X. F. Xu, Appl. Phys. Lett. 98, 223106 (2011).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

B. Bennett, S. Goldberg, B. Ippolito, L. Novotny, Z. H. Liu, and M. S. Unlu, IEEE J. Sel. Top. Quantum Electron. 8, 1051 (2002).
[CrossRef]

J. Comput. Theor. Nanosci.

A. Heifetz, S. C. Kong, A. V. Sahakian, A. Taflove, and V. Backman, J. Comput. Theor. Nanosci. 6, 1979 (2009).

J. Phys. D

A. Soni and S. B. Wen, J. Phys. D 45, 185101 (2012).
[CrossRef]

J. Quant. Spectrosc. Radiat. Transfer

G. Gouesbet, J. A. Lock, and G. Grehan, J. Quant. Spectrosc. Radiat. Transfer 112, 1 (2011).
[CrossRef]

Laser Photon. Rev.

M. Duocastella and C. B. Arnold, Laser Photon. Rev. 6, 607 (2012).
[CrossRef]

Methods Cell Biol.

R. Heintzmann and G. Ficz, Methods Cell Biol. 81, 561 (2007).
[CrossRef]

Nano Lett.

Z. W. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, Nano Lett. 5, 1726 (2005).
[CrossRef]

Nat. Nanotechnol.

W. Srituravanich, L. Pan, Y. Wang, C. Sun, D. B. Bogy, and X. Zhang, Nat. Nanotechnol. 3, 733 (2008).
[CrossRef]

Opt. Commun.

S. R. Mishra, Opt. Commun. 85, 159 (1991).
[CrossRef]

Opt. Express

Opt. Lett.

Rev. Sci. Instrum.

T. Watanabe, M. Fujii, Y. Watanabe, N. Toyama, and Y. Iketaki, Rev. Sci. Instrum. 75, 5131 (2004).
[CrossRef]

Sci. Rep.

L. Pan, Y. Park, Y. Xiong, E. Ulin-Avila, Y. Wang, L. Zeng, S. M. Xiong, J. Rho, C. Sun, D. B. Bogy, and X. Zhang, Sci. Rep. 1, 175 (2011).
[CrossRef]

Science

E. Betzig, J. K. Trautman, T. D. Harris, J. S. Weiner, and R. L. Kostelak, Science 251, 1468 (1991).
[CrossRef]

Z. W. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science 315, 1686 (2007).
[CrossRef]

Other

B. Bhushan, Scanning Probe Microscopy in Nanoscience and Nanotechnology (Springer, 2010).

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

E. Hecht, Optics, 4th ed. (Addison-Wesley, 2002).

E. D. Palik and G. Ghosh, Handbook of Optical Constants of Solids (Academic, 1998).

R. Siegel and J. R. Howell, Thermal Radiation Heat Transfer, 3rd ed. (Hemisphere, 1992).

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Figures (3)

Fig. 1.
Fig. 1.

Plot of electric field intensity distribution of a spherical scatterer with a radius=30nm.

Fig. 2.
Fig. 2.

(a) Schematic of snowman configuration of scatterer. (b) Schematic of teardrop configuration indicating the tapering angle. (c) Plot of electric field intensity of snowman scatterer with top sphere radius 10 nm and bottom 500 nm. (d) Plot of electric field intensity of teardrop scatterer with top sphere radius 10 nm and bottom 500 nm and tapering angle of 145°.

Fig. 3.
Fig. 3.

Plot of electric field intensity distribution for cascade focusing configuration consisting of the teardrop scatterer placed at the focus region of 5 μm diameter microsphere.

Tables (4)

Tables Icon

Table 1. Scattering from Dielectric Spheres

Tables Icon

Table 2. Scattering from Snowman Scatterers with Different Bottom Sphere Radii

Tables Icon

Table 3. Scattering from Snowman Scatterers with Different Top Sphere Radii

Tables Icon

Table 4. Scattering from Teardrop Scatterer with Different Taper Angles

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

Er(r,z)=Eocos(α)sin(α)J1(ksin(α)r)ej(kcos(α)ωt),
Eϕ(r,z)=0,
Ez(r,z)=iEosin2(α)J0(ksin(α)r)ej(kcos(α)ωt),

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