Abstract

Birefringent computer-generated holograms are fabricated in bulk fused silica by tight focusing of infrared femtosecond laser pulses. The polarization properties of the elliptically polarized diffracted light are in excellent agreement with the theoretical model. We experimentally demonstrate that for such birefringent structures the signal-to-noise ratio increases by 9dB when polarization filtering is used to suppress the undiffracted beam.

© 2006 Optical Society of America

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2004

2003

K. Yamada, W. Watanabe, J. Nishii, and K. Itoh, J. Appl. Phys. 93, 1889 (2003).
[CrossRef]

S. Nolte, M. Will, J. Bughoff, and A. Tuennermann, Appl. Phys. A 77, 109 (2003).
[CrossRef]

Y. Shimotsuma, P. G. Kazansky, J. Qiu, and K. Hirao, Phys. Rev. Lett. 91, 247405 (2003).
[CrossRef] [PubMed]

2002

J. D. Mills, P. G. Kazansky, E. Bricchi, and J. J. Baumberg, Appl. Phys. Lett. 81, 196 (2002).
[CrossRef]

E. Bricchi, J. D. Mills, P. Kazansky, B. Klappauf, and J. Baumberg, Opt. Lett. 27, 2200 (2002).
[CrossRef]

2001

L. Sudrie, M. Franco, B. Prade, and A. Mysyrowicz, Opt. Commun. 191, 333 (2001).
[CrossRef]

1999

1998

1996

1993

1979

Baumberg, J.

Baumberg, J. J.

J. D. Mills, P. G. Kazansky, E. Bricchi, and J. J. Baumberg, Appl. Phys. Lett. 81, 196 (2002).
[CrossRef]

Born, M.

M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999).

Bricchi, E.

Bughoff, J.

S. Nolte, M. Will, J. Bughoff, and A. Tuennermann, Appl. Phys. A 77, 109 (2003).
[CrossRef]

Cheng, C.-C.

Cherkashin, V. V.

Churin, E. G.

Fainman, Y.

Ford, J. E.

Franco, M.

L. Sudrie, M. Franco, B. Prade, and A. Mysyrowicz, Opt. Commun. 191, 333 (2001).
[CrossRef]

L. Sudrie, M. Franco, B. Prade, and A. Mysyrowicz, Opt. Commun. 171, 279 (1999).
[CrossRef]

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1988).

Hirao, K.

Y. Shimotsuma, P. G. Kazansky, J. Qiu, and K. Hirao, Phys. Rev. Lett. 91, 247405 (2003).
[CrossRef] [PubMed]

Itoh, K.

K. Yamada, W. Watanabe, Y. Li, K. Itoh, and J. Nishii, Opt. Lett. 29, 1846 (2004).
[CrossRef] [PubMed]

K. Yamada, W. Watanabe, J. Nishii, and K. Itoh, J. Appl. Phys. 93, 1889 (2003).
[CrossRef]

Itoh, M.

Kazansky, P.

Kazansky, P. G.

E. Bricchi, B. G. Klappauf, and P. G. Kazansky, Opt. Lett. 29, 119 (2004).
[CrossRef] [PubMed]

Y. Shimotsuma, P. G. Kazansky, J. Qiu, and K. Hirao, Phys. Rev. Lett. 91, 247405 (2003).
[CrossRef] [PubMed]

J. D. Mills, P. G. Kazansky, E. Bricchi, and J. J. Baumberg, Appl. Phys. Lett. 81, 196 (2002).
[CrossRef]

Kharissov, A. A.

Kiryanov, A. V.

Kiryanov, V. P.

Klappauf, B.

Klappauf, B. G.

Kokarev, S. A.

Korolkov, V. P.

Koronkevich, V. P.

Lee, W.

Li, Y.

Mills, J. D.

E. Bricchi, J. D. Mills, P. Kazansky, B. Klappauf, and J. Baumberg, Opt. Lett. 27, 2200 (2002).
[CrossRef]

J. D. Mills, P. G. Kazansky, E. Bricchi, and J. J. Baumberg, Appl. Phys. Lett. 81, 196 (2002).
[CrossRef]

Mysyrowicz, A.

L. Sudrie, M. Franco, B. Prade, and A. Mysyrowicz, Opt. Commun. 191, 333 (2001).
[CrossRef]

L. Sudrie, M. Franco, B. Prade, and A. Mysyrowicz, Opt. Commun. 171, 279 (1999).
[CrossRef]

Nishii, J.

K. Yamada, W. Watanabe, Y. Li, K. Itoh, and J. Nishii, Opt. Lett. 29, 1846 (2004).
[CrossRef] [PubMed]

K. Yamada, W. Watanabe, J. Nishii, and K. Itoh, J. Appl. Phys. 93, 1889 (2003).
[CrossRef]

Nolte, S.

S. Nolte, M. Will, J. Bughoff, and A. Tuennermann, Appl. Phys. A 77, 109 (2003).
[CrossRef]

Poleshchuk, A. G.

Prade, B.

L. Sudrie, M. Franco, B. Prade, and A. Mysyrowicz, Opt. Commun. 191, 333 (2001).
[CrossRef]

L. Sudrie, M. Franco, B. Prade, and A. Mysyrowicz, Opt. Commun. 171, 279 (1999).
[CrossRef]

Qiu, J.

Y. Shimotsuma, P. G. Kazansky, J. Qiu, and K. Hirao, Phys. Rev. Lett. 91, 247405 (2003).
[CrossRef] [PubMed]

Scherer, A.

Shimotsuma, Y.

Y. Shimotsuma, P. G. Kazansky, J. Qiu, and K. Hirao, Phys. Rev. Lett. 91, 247405 (2003).
[CrossRef] [PubMed]

Sudrie, L.

L. Sudrie, M. Franco, B. Prade, and A. Mysyrowicz, Opt. Commun. 191, 333 (2001).
[CrossRef]

L. Sudrie, M. Franco, B. Prade, and A. Mysyrowicz, Opt. Commun. 171, 279 (1999).
[CrossRef]

Sun, P.-C.

Tuennermann, A.

S. Nolte, M. Will, J. Bughoff, and A. Tuennermann, Appl. Phys. A 77, 109 (2003).
[CrossRef]

Tyan, R.-C.

Urquhart, K.

Verhoglyad, A. G.

Watanabe, W.

K. Yamada, W. Watanabe, Y. Li, K. Itoh, and J. Nishii, Opt. Lett. 29, 1846 (2004).
[CrossRef] [PubMed]

K. Yamada, W. Watanabe, J. Nishii, and K. Itoh, J. Appl. Phys. 93, 1889 (2003).
[CrossRef]

Will, M.

S. Nolte, M. Will, J. Bughoff, and A. Tuennermann, Appl. Phys. A 77, 109 (2003).
[CrossRef]

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999).

Xu, F.

Yamada, K.

K. Yamada, W. Watanabe, Y. Li, K. Itoh, and J. Nishii, Opt. Lett. 29, 1846 (2004).
[CrossRef] [PubMed]

K. Yamada, W. Watanabe, J. Nishii, and K. Itoh, J. Appl. Phys. 93, 1889 (2003).
[CrossRef]

Yatagai, T.

Yoshikawa, N.

Appl. Opt.

Appl. Phys. A

S. Nolte, M. Will, J. Bughoff, and A. Tuennermann, Appl. Phys. A 77, 109 (2003).
[CrossRef]

Appl. Phys. Lett.

J. D. Mills, P. G. Kazansky, E. Bricchi, and J. J. Baumberg, Appl. Phys. Lett. 81, 196 (2002).
[CrossRef]

J. Appl. Phys.

K. Yamada, W. Watanabe, J. Nishii, and K. Itoh, J. Appl. Phys. 93, 1889 (2003).
[CrossRef]

Opt. Commun.

L. Sudrie, M. Franco, B. Prade, and A. Mysyrowicz, Opt. Commun. 171, 279 (1999).
[CrossRef]

L. Sudrie, M. Franco, B. Prade, and A. Mysyrowicz, Opt. Commun. 191, 333 (2001).
[CrossRef]

Opt. Lett.

Phys. Rev. Lett.

Y. Shimotsuma, P. G. Kazansky, J. Qiu, and K. Hirao, Phys. Rev. Lett. 91, 247405 (2003).
[CrossRef] [PubMed]

Other

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1988).

M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999).

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Figures (3)

Fig. 1
Fig. 1

(a) Polarization of the input and diffracted beams (P and U, respectively). Other abbreviations are defined in the text. (b), (c) Images of a portion of the laser-written CGHs positioned between crossed polarizers and imaged by a microscope in transmission mode [ ( x y ) and ( x z ) planes, respectively]. The propagation direction of the recording laser beam is along the z axis.

Fig. 2
Fig. 2

(a) Experimental setup for the reconstruction of the CGH: λ 2 , retardation Fresnel rhomb; P A , analyzer; (b), (c) Polarization properties of the CGH first diffraction order versus input beam polarization angle θ. (b) Ellipticity: diamonds, experimentals points; dashed curve, theoretical fit. (c) Polarization angle ψ: open circles, experimental points; solid curve; theoretical fit; filled squares, undiffracted beam’s polarization angle.

Fig. 3
Fig. 3

CGH reconstruction images. The highlighted areas were used for measuring the S/N. P, input beam polarization; P A , analyzer direction. (a) Reconstruction under crossed polarizers with input polarization at θ = 45 ° , (b) reconstruction under crossed polarizers with input polarization at θ = 2 ° , (c) reconstruction with parallel polarizers at θ 0 ° .

Equations (4)

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

G ( x , y ) = [ exp [ i b ( x , y ) ϕ x ] 0 0 exp [ i b ( x , y ) ϕ y ] ] ,
U ( x f , y f ) = δ ( x f λ f , y f λ f ) ( cos θ , sin θ ) T 2 i F { b ( x , y ) } [ exp ( i ϕ x 2 ) cos θ sin ϕ x 2 , exp ( i ϕ y 2 ) sin θ sin ϕ y 2 ] T ,
tan 2 ψ = 2 S tan θ 1 S 2 tan 2 θ cos Δ ,
2 ϵ 1 + ϵ 2 = ± 2 S tan θ 1 + S 2 tan 2 θ sin Δ ,

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