Abstract

We report on the exact resolution of the problem of reflection and refraction of exact circularly polarized Bessel vortex beams impinging at normal incidence on a planar dielectric interface between two isotropic and lossless media. On the one hand, we demonstrate the generation of a new vortex state both in the reflected and refracted fields. On the other hand, we show the possibility to completely convert, at reflection, the incident vortex beam into a vortex beam with orthogonal polarization and topological charge changed by ±2. The spin–orbit interaction of light occurring at the planar interface is identified as the mechanism responsible for these effects.

© 2012 Optical Society of America

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  1. M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).
    [CrossRef]
  2. A. Yao and M. Padgett, Adv. Opt. Photon. 3, 161 (2011).
    [CrossRef]
  3. V. G. Fedoseyev, Opt. Commun. 193, 9 (2001).
    [CrossRef]
  4. K. Y. Bliokh, I. V. Shadrivov, and Y. S. Kivshar, Opt. Lett. 34, 389 (2009).
    [CrossRef]
  5. W. Nasalski, Opt. Commun. 197, 217 (2001).
    [CrossRef]
  6. W. Nasalski, Phys. Rev. E 74, 056613 (2006).
    [CrossRef]
  7. W. Nasalski and Y. Pagani, J. Opt. A 8, 21 (2006).
    [CrossRef]
  8. H. Okuda and H. Sasada, J. Opt. Soc. Am. A 25, 881 (2008).
    [CrossRef]
  9. D. McGloin and K. Dholakia, Contemp. Phys. 46, 15(2005).
    [CrossRef]
  10. K. Shimoda, J. Phys. Soc. Jpn. 60, 450 (1991).
    [CrossRef]
  11. A. V. Novitsky and D. V. Novitsky, Opt. Commun. 281, 2727 (2008).
    [CrossRef]
  12. S. N. Kurilkina, V. N. Belyi, and N. S. Kazak, J. Opt. 12, 015704 (2010).
    [CrossRef]
  13. M. A. Salem and H. Bagci, J. Opt. Soc. Am. A 29, 139 (2012).
    [CrossRef]
  14. M. Born and E. Wolf, Principles of Optics (Pergamon, 2005).
  15. K. Y. Bliokh, E. A. Ostrovskaya, M. A. Alonso, O. G. Rodríguez-Herrera, D. Lara, and C. Dainty, Opt. Express 19, 26132 (2011).
    [CrossRef]
  16. D. S. Citrin, Opt. Lett. 37, 2376 (2012).
    [CrossRef]
  17. S. M. Barnett and L. Allen, Opt. Commun. 110, 670 (1994).
    [CrossRef]

2012

2011

2010

S. N. Kurilkina, V. N. Belyi, and N. S. Kazak, J. Opt. 12, 015704 (2010).
[CrossRef]

2009

2008

A. V. Novitsky and D. V. Novitsky, Opt. Commun. 281, 2727 (2008).
[CrossRef]

H. Okuda and H. Sasada, J. Opt. Soc. Am. A 25, 881 (2008).
[CrossRef]

2006

W. Nasalski, Phys. Rev. E 74, 056613 (2006).
[CrossRef]

W. Nasalski and Y. Pagani, J. Opt. A 8, 21 (2006).
[CrossRef]

2005

D. McGloin and K. Dholakia, Contemp. Phys. 46, 15(2005).
[CrossRef]

2001

M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).
[CrossRef]

V. G. Fedoseyev, Opt. Commun. 193, 9 (2001).
[CrossRef]

W. Nasalski, Opt. Commun. 197, 217 (2001).
[CrossRef]

1994

S. M. Barnett and L. Allen, Opt. Commun. 110, 670 (1994).
[CrossRef]

1991

K. Shimoda, J. Phys. Soc. Jpn. 60, 450 (1991).
[CrossRef]

Allen, L.

S. M. Barnett and L. Allen, Opt. Commun. 110, 670 (1994).
[CrossRef]

Alonso, M. A.

Bagci, H.

Barnett, S. M.

S. M. Barnett and L. Allen, Opt. Commun. 110, 670 (1994).
[CrossRef]

Belyi, V. N.

S. N. Kurilkina, V. N. Belyi, and N. S. Kazak, J. Opt. 12, 015704 (2010).
[CrossRef]

Bliokh, K. Y.

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon, 2005).

Citrin, D. S.

Dainty, C.

Dholakia, K.

D. McGloin and K. Dholakia, Contemp. Phys. 46, 15(2005).
[CrossRef]

Fedoseyev, V. G.

V. G. Fedoseyev, Opt. Commun. 193, 9 (2001).
[CrossRef]

Kazak, N. S.

S. N. Kurilkina, V. N. Belyi, and N. S. Kazak, J. Opt. 12, 015704 (2010).
[CrossRef]

Kivshar, Y. S.

Kurilkina, S. N.

S. N. Kurilkina, V. N. Belyi, and N. S. Kazak, J. Opt. 12, 015704 (2010).
[CrossRef]

Lara, D.

McGloin, D.

D. McGloin and K. Dholakia, Contemp. Phys. 46, 15(2005).
[CrossRef]

Nasalski, W.

W. Nasalski, Phys. Rev. E 74, 056613 (2006).
[CrossRef]

W. Nasalski and Y. Pagani, J. Opt. A 8, 21 (2006).
[CrossRef]

W. Nasalski, Opt. Commun. 197, 217 (2001).
[CrossRef]

Novitsky, A. V.

A. V. Novitsky and D. V. Novitsky, Opt. Commun. 281, 2727 (2008).
[CrossRef]

Novitsky, D. V.

A. V. Novitsky and D. V. Novitsky, Opt. Commun. 281, 2727 (2008).
[CrossRef]

Okuda, H.

Ostrovskaya, E. A.

Padgett, M.

Pagani, Y.

W. Nasalski and Y. Pagani, J. Opt. A 8, 21 (2006).
[CrossRef]

Rodríguez-Herrera, O. G.

Salem, M. A.

Sasada, H.

Shadrivov, I. V.

Shimoda, K.

K. Shimoda, J. Phys. Soc. Jpn. 60, 450 (1991).
[CrossRef]

Soskin, M. S.

M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).
[CrossRef]

Vasnetsov, M. V.

M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).
[CrossRef]

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon, 2005).

Yao, A.

Adv. Opt. Photon.

Contemp. Phys.

D. McGloin and K. Dholakia, Contemp. Phys. 46, 15(2005).
[CrossRef]

J. Opt.

S. N. Kurilkina, V. N. Belyi, and N. S. Kazak, J. Opt. 12, 015704 (2010).
[CrossRef]

J. Opt. A

W. Nasalski and Y. Pagani, J. Opt. A 8, 21 (2006).
[CrossRef]

J. Opt. Soc. Am. A

J. Phys. Soc. Jpn.

K. Shimoda, J. Phys. Soc. Jpn. 60, 450 (1991).
[CrossRef]

Opt. Commun.

A. V. Novitsky and D. V. Novitsky, Opt. Commun. 281, 2727 (2008).
[CrossRef]

V. G. Fedoseyev, Opt. Commun. 193, 9 (2001).
[CrossRef]

W. Nasalski, Opt. Commun. 197, 217 (2001).
[CrossRef]

S. M. Barnett and L. Allen, Opt. Commun. 110, 670 (1994).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. E

W. Nasalski, Phys. Rev. E 74, 056613 (2006).
[CrossRef]

Prog. Opt.

M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).
[CrossRef]

Other

M. Born and E. Wolf, Principles of Optics (Pergamon, 2005).

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Figures (1)

Fig. 1.
Fig. 1.

Dependence of the reflection and refraction of an incident CBVB on the characteristic cone angle θi for a refractive index ratio N=nt/ni=3/2 [panels on the left] and N=2/3 [panels on the right]. First and second rows: ck(τ) for the transmitted [panels (a) and (d)] and reflected [panel (b) and (e)] beams. Third row: transmittance T and reflectance R. The shadowed area on the right column refers to the total internal reflection regime when θi>θTIR.

Tables (1)

Tables Icon

Table 1. Parameters for the TM-polarized and TE-Polarized BBs

Equations (11)

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

E=[Jl(αr)er+iσJl(αr)eφiσtanθqJl+σ(αr)ez]ei[(l+σ)φ+βqz],H={iσ[cosθqJl(αr)+l+σkqrtanθqJl+σ(αr)]er+[cosθqJl(αr)+σtanθqsinθqJl+σ(αr)]eφsinθqJl+σ(αr)ez}ei[(l+σ)φ+βqz].
ETM(q)=τp(q)[cosθqξ+isinθqJm(αr)ez]ei(mφ+βqz),HTM(q)=τp(q)nqηei(mφ+βqz),ETE(q)=τs(q)ηei(mφ+βqz),HTE(q)=τs(q)nq[cosθqξisinθqJm(αr)ez]ei(mφ+βqz),
ξ=Jm(αr)er+imαrJm(αr)eφ,η=imαrJm(αr)erJm(αr)eφ,
|ψ(i)=i|TEl+σ(i)σcosθi|TMl+σ(i).
|ψ(q)=i|TEl+σ(q)σcosθi|TMl+σ(q),
|TMm(q)=τp(q)2cosθq[|1,m+1,q|1,m1,q],|TEm(q)=iτs(q)2[|1,m+1,q+|1,m1,q].
|ψ(q)=c1(q)|σ,l,q+c2(q)|σ,l+2σ,q,
c1,2(t)=12[τs(t)±τp(t)cosθtcosθi],c1,2(r)=12[τs(r)τp(r)].
T=(τp(t))2+(τs(t))2cos2θi1+cos2θintcosθtnicosθi,
R=(τp(r))2+(τs(r))2cos2θi1+cos2θi.
c1(r)(θTIR)=0,c2(r)(θTIR)=1.

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