Abstract

In a recent Letter [Opt. Lett. 24, 584 (1999)], Gori analyzed polarization gratings and proposed using them as a tool to measure Stokes parameters. Most of his analysis dealt with the near field, but practical exploitation of his approach relies on the far field. A discussion focusing on the far field is presented, and recipes are suggested for actual implementations of such devices.

© 1999 Optical Society of America

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References

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  1. F. Gori, Opt. Lett. 24, 584 (1999).
    [CrossRef]
  2. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  3. C. G. Someda, Electromagnetic Waves (Chapman & Hall, London, 1998), Sec. 13.7.
  4. See, e.g., D. Mendlovic and H. M. Ozaktas, J. Opt. Soc. Am. A 10, 1875 (1993).
    [CrossRef]
  5. One can deal with any periodic ? with period L, at least in principle, by expanding ? as a suitably truncated Fourier series, writing then exp2i? as a product of exponentials, and finally finding the Fourier transform of the product as the convolution of the transforms of the factors.
  6. G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed. (Cambridge U. Press, Cambridge, 1958).
  7. J. D. Kraus, Antennas (McGraw-Hill, New York, 1950).

1999 (1)

1993 (1)

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).

Gori, F.

Kraus, J. D.

J. D. Kraus, Antennas (McGraw-Hill, New York, 1950).

Mendlovic, D.

Ozaktas, H. M.

Someda, C. G.

C. G. Someda, Electromagnetic Waves (Chapman & Hall, London, 1998), Sec. 13.7.

Watson, G. N.

G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed. (Cambridge U. Press, Cambridge, 1958).

J. Opt. Soc. Am. A (1)

Opt. Lett. (1)

Other (5)

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).

C. G. Someda, Electromagnetic Waves (Chapman & Hall, London, 1998), Sec. 13.7.

One can deal with any periodic ? with period L, at least in principle, by expanding ? as a suitably truncated Fourier series, writing then exp2i? as a product of exponentials, and finally finding the Fourier transform of the product as the convolution of the transforms of the factors.

G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed. (Cambridge U. Press, Cambridge, 1958).

J. D. Kraus, Antennas (McGraw-Hill, New York, 1950).

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Equations (6)

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ψP=j exp-jkzλzexp-jk/2zx2×AE exp jk/zxx]dx,
ψP=j exp-jkzλzexp-jk/2zx2×mJm2Mδϑ-mλ/L,
χ0=cos-1δλ/2πl=cos-1λ/2nl.
χ0=cos-1mλ/2nl, mn,
-+exp-α2x2expjδxdx=παexp-δ2/2α2,
w=2γw03/1+4γ2w041/2, z=π/λγw04/1+4γ2w04.

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