Abstract

The concept of polarization freedom is employed to design diffraction gratings that are capable of transforming an electromagnetic plane wave into two or three diffraction orders with an arbitrary efficiency distribution among them, such that the combined efficiency of the signal orders is always equal to 100%. As a special case we consider paraxial-domain duplicators and triplicators with 100% efficiency, which is not possible for illumination by scalar waves: Diffractive elements that are capable of performing the required wave transformation must modulate the state of polarization of the incident field.

© 2000 Optical Society of America

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References

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  1. F. Wyrowski, Opt. Lett. 16, 1915 (1991).
    [CrossRef] [PubMed]
  2. F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, G. Cincotti, E. Di Fabrizio, and M. Gentili, Opt. Commun. 157, 13 (1998).
    [CrossRef]
  3. F. Gori, Opt. Lett. 24, 584 (1999).
    [CrossRef]
  4. M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1980), p. 705.
  5. J. Turunen and F. Wyrowski, eds., Diffractive Optics for Industrial and Commercial Applications (Wiley-VCH, Berlin, 1997), Sec. 11.4. See also the references cited therein.

1999

1998

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, G. Cincotti, E. Di Fabrizio, and M. Gentili, Opt. Commun. 157, 13 (1998).
[CrossRef]

1991

Borghi, R.

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, G. Cincotti, E. Di Fabrizio, and M. Gentili, Opt. Commun. 157, 13 (1998).
[CrossRef]

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1980), p. 705.

Cincotti, G.

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, G. Cincotti, E. Di Fabrizio, and M. Gentili, Opt. Commun. 157, 13 (1998).
[CrossRef]

Di Fabrizio, E.

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, G. Cincotti, E. Di Fabrizio, and M. Gentili, Opt. Commun. 157, 13 (1998).
[CrossRef]

Gentili, M.

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, G. Cincotti, E. Di Fabrizio, and M. Gentili, Opt. Commun. 157, 13 (1998).
[CrossRef]

Gori, F.

F. Gori, Opt. Lett. 24, 584 (1999).
[CrossRef]

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, G. Cincotti, E. Di Fabrizio, and M. Gentili, Opt. Commun. 157, 13 (1998).
[CrossRef]

Santarsiero, M.

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, G. Cincotti, E. Di Fabrizio, and M. Gentili, Opt. Commun. 157, 13 (1998).
[CrossRef]

Vicalvi, S.

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, G. Cincotti, E. Di Fabrizio, and M. Gentili, Opt. Commun. 157, 13 (1998).
[CrossRef]

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1980), p. 705.

Wyrowski, F.

Opt. Commun.

F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, G. Cincotti, E. Di Fabrizio, and M. Gentili, Opt. Commun. 157, 13 (1998).
[CrossRef]

Opt. Lett.

Other

M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1980), p. 705.

J. Turunen and F. Wyrowski, eds., Diffractive Optics for Industrial and Commercial Applications (Wiley-VCH, Berlin, 1997), Sec. 11.4. See also the references cited therein.

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Equations (9)

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ηu=1d0dmSTm expi2πmx/ddx2,
Tx=A cos2πx/d+B sin2πx/dA-Bsinπx/d×cosπx/d A-Bsinπx/dcosπx/dA sin2πx/d +B cos2πx/d.
Dm=1d0dTxE exp-i2πmx/ddx,
ηm=E-2Dm2.
D-1=14A-BEx+iEy1i,
D0=12A+BExEy,
D+1=14A-BEx-iEy1-i.
η0=14A+B2,
η±1=18A-B21±2ExEysinΔθEx2+Ey2,

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