Abstract

This Letter introduces and discusses a difference in the behavior of a cylindrical diffractive lens encoded with subwavelength structures illuminated with monochromatic coherent light in the cases of TE and TM polarization. The effective medium theory is used to model with new binary phase function the diffractive lens. A new algorithm combines the finite-difference time domain for the propagation in the near field and the radiation spectrum method for the propagation in the far field. We observe the existence in the TM polarization of a second spot at half the distance of the focal length not predictable by scalar theory.

© 2011 Optical Society of America

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References

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  1. S. Sinzinger and J. Jahns, Microoptics, 2nd ed. (Wiley–VCH Verlag, 2005).
  2. B. Kress and P. Meyrueis, Digital Diffractive Optics(Wiley, 2000).
  3. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method(Artech, 2005).
  4. A. Farjadpour, D. Roundy, A. Rodriguez, M. Ibanescu, P. Bermel, J. D. Joannopoulos, S. G. Johnson, and G. Burr, Opt. Lett. 31, 2972 (2006).
    [CrossRef] [PubMed]
  5. P. Gerard, P. Benech, D. Khalil, R. Rimet, S. Tedjini, Opt. Commun. 140, 128 (1997).
    [CrossRef]
  6. V. Raulot, P. Gérard, B. Sério, M. Flury, B. Kress, and P. Meyrueis, Opt. Express 18, 17974 (2010).
    [CrossRef] [PubMed]
  7. P. Ruffieux, T. Scharf, H-P. Herzig, R. Völkel, K. J. Weible, Opt. Express 14, 4687 (2006).
    [CrossRef] [PubMed]

2010

2006

1997

P. Gerard, P. Benech, D. Khalil, R. Rimet, S. Tedjini, Opt. Commun. 140, 128 (1997).
[CrossRef]

Benech, P.

P. Gerard, P. Benech, D. Khalil, R. Rimet, S. Tedjini, Opt. Commun. 140, 128 (1997).
[CrossRef]

Bermel, P.

Burr, G.

Farjadpour, A.

Flury, M.

Gerard, P.

P. Gerard, P. Benech, D. Khalil, R. Rimet, S. Tedjini, Opt. Commun. 140, 128 (1997).
[CrossRef]

Gérard, P.

Hagness, S. C.

A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method(Artech, 2005).

Herzig, H-P.

Ibanescu, M.

Jahns, J.

S. Sinzinger and J. Jahns, Microoptics, 2nd ed. (Wiley–VCH Verlag, 2005).

Joannopoulos, J. D.

Johnson, S. G.

Khalil, D.

P. Gerard, P. Benech, D. Khalil, R. Rimet, S. Tedjini, Opt. Commun. 140, 128 (1997).
[CrossRef]

Kress, B.

Meyrueis, P.

Raulot, V.

Rimet, R.

P. Gerard, P. Benech, D. Khalil, R. Rimet, S. Tedjini, Opt. Commun. 140, 128 (1997).
[CrossRef]

Rodriguez, A.

Roundy, D.

Ruffieux, P.

Scharf, T.

Sério, B.

Sinzinger, S.

S. Sinzinger and J. Jahns, Microoptics, 2nd ed. (Wiley–VCH Verlag, 2005).

Taflove, A.

A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method(Artech, 2005).

Tedjini, S.

P. Gerard, P. Benech, D. Khalil, R. Rimet, S. Tedjini, Opt. Commun. 140, 128 (1997).
[CrossRef]

Völkel, R.

Weible, K. J.

Opt. Commun.

P. Gerard, P. Benech, D. Khalil, R. Rimet, S. Tedjini, Opt. Commun. 140, 128 (1997).
[CrossRef]

Opt. Express

Opt. Lett.

Other

S. Sinzinger and J. Jahns, Microoptics, 2nd ed. (Wiley–VCH Verlag, 2005).

B. Kress and P. Meyrueis, Digital Diffractive Optics(Wiley, 2000).

A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method(Artech, 2005).

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Figures (3)

Fig. 1
Fig. 1

(a) Phase difference versus the fill factor and (b) diffraction efficiency versus the line dimension in the zeroth order for a grating with refractive index 1.46 placed in air. The thickness is 1.37 μm . The diffraction efficiency was calculated with a Fourier modal method (1000 samples in the period interval).

Fig. 2
Fig. 2

Amplitude squared (arbitrary units) of the electric field in free-space propagation in (a) TE and (b) TM polarization.

Fig. 3
Fig. 3

On-axis efficiency versus the free-space propagation in the case of two propagations. We see a second spot at half distance of the focal length in the case of TM polarization with 30% diffraction efficiency.

Equations (1)

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n TE 2 = f · n 2 + ( 1 f ) ,

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