Abstract

We describe a novel method for the spectroscopic measurement of the state of polarization (SOP) of light. A pair of thick birefringent retarders is incorporated into the spectroscopic polarimeter, so the generated channeled spectrum is composed of three quasi-cosinusoidal components carrying the information about the SOP of the light that is being measured. Fourier inversion of the channeled spectrum provides significant parameters for determination of the spectrally resolved Stokes parameters of light. No mechanically movable components for polarization control or active devices for polarization modulation are used, and all the Stokes parameters can be determined at once from only the single spectrum. The effectiveness of this method is demonstrated by the generation of elliptically polarized light whose SOP varies with wave number.

© 1999 Optical Society of America

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References

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  2. R. W. Collins, Rev. Sci. Instrum. 61, 2029 (1990).
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    [CrossRef]
  5. G. E. Jellison, Opt. Lett. 12, 766 (1987).
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  6. R. M. A. Azzam, J. Opt. Soc. Am. A 5, 681 (1988).
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  7. Y. Ohtsuka, F. Nagaoka, and S. Tanaka, Opt. Rev. 5, 21 (1998).
    [CrossRef]
  8. M. Takeda, H. Ina, and S. Kobayashi, J. Opt. Soc. Am. 72, 156 (1982).
    [CrossRef]
  9. K. Oka, T. Takeda, and Y. Ohtsuka, J. Mod. Opt. 38, 1567 (1991).
    [CrossRef]

1998 (2)

J. Lee, P. I. Rovira, I. An, and R. W. Collins, Rev. Sci. Instrum. 69, 1800 (1998).
[CrossRef]

Y. Ohtsuka, F. Nagaoka, and S. Tanaka, Opt. Rev. 5, 21 (1998).
[CrossRef]

1991 (1)

K. Oka, T. Takeda, and Y. Ohtsuka, J. Mod. Opt. 38, 1567 (1991).
[CrossRef]

1990 (1)

R. W. Collins, Rev. Sci. Instrum. 61, 2029 (1990).
[CrossRef]

1988 (2)

1987 (1)

1982 (2)

M. Takeda, H. Ina, and S. Kobayashi, J. Opt. Soc. Am. 72, 156 (1982).
[CrossRef]

G. E. Jellison and F. A. Modine, J. Appl. Phys. 53, 3745 (1982).
[CrossRef]

An, I.

J. Lee, P. I. Rovira, I. An, and R. W. Collins, Rev. Sci. Instrum. 69, 1800 (1998).
[CrossRef]

Aspnes, D. E.

D. E. Aspnes, Proc. SPIE 946, 84 (1988).
[CrossRef]

Azzam, R. M. A.

Collins, R. W.

J. Lee, P. I. Rovira, I. An, and R. W. Collins, Rev. Sci. Instrum. 69, 1800 (1998).
[CrossRef]

R. W. Collins, Rev. Sci. Instrum. 61, 2029 (1990).
[CrossRef]

Ina, H.

Jellison, G. E.

G. E. Jellison, Opt. Lett. 12, 766 (1987).
[CrossRef]

G. E. Jellison and F. A. Modine, J. Appl. Phys. 53, 3745 (1982).
[CrossRef]

Kobayashi, S.

Lee, J.

J. Lee, P. I. Rovira, I. An, and R. W. Collins, Rev. Sci. Instrum. 69, 1800 (1998).
[CrossRef]

Modine, F. A.

G. E. Jellison and F. A. Modine, J. Appl. Phys. 53, 3745 (1982).
[CrossRef]

Nagaoka, F.

Y. Ohtsuka, F. Nagaoka, and S. Tanaka, Opt. Rev. 5, 21 (1998).
[CrossRef]

Ohtsuka, Y.

Y. Ohtsuka, F. Nagaoka, and S. Tanaka, Opt. Rev. 5, 21 (1998).
[CrossRef]

K. Oka, T. Takeda, and Y. Ohtsuka, J. Mod. Opt. 38, 1567 (1991).
[CrossRef]

Oka, K.

K. Oka, T. Takeda, and Y. Ohtsuka, J. Mod. Opt. 38, 1567 (1991).
[CrossRef]

Rovira, P. I.

J. Lee, P. I. Rovira, I. An, and R. W. Collins, Rev. Sci. Instrum. 69, 1800 (1998).
[CrossRef]

Takeda, M.

Takeda, T.

K. Oka, T. Takeda, and Y. Ohtsuka, J. Mod. Opt. 38, 1567 (1991).
[CrossRef]

Tanaka, S.

Y. Ohtsuka, F. Nagaoka, and S. Tanaka, Opt. Rev. 5, 21 (1998).
[CrossRef]

J. Appl. Phys. (1)

G. E. Jellison and F. A. Modine, J. Appl. Phys. 53, 3745 (1982).
[CrossRef]

J. Mod. Opt. (1)

K. Oka, T. Takeda, and Y. Ohtsuka, J. Mod. Opt. 38, 1567 (1991).
[CrossRef]

J. Opt. Soc. Am. (1)

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

Opt. Lett. (1)

Opt. Rev. (1)

Y. Ohtsuka, F. Nagaoka, and S. Tanaka, Opt. Rev. 5, 21 (1998).
[CrossRef]

Proc. SPIE (1)

D. E. Aspnes, Proc. SPIE 946, 84 (1988).
[CrossRef]

Rev. Sci. Instrum. (2)

R. W. Collins, Rev. Sci. Instrum. 61, 2029 (1990).
[CrossRef]

J. Lee, P. I. Rovira, I. An, and R. W. Collins, Rev. Sci. Instrum. 69, 1800 (1998).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Schematic of the spectroscopic polarimeter with a channeled spectrum.

Fig. 2
Fig. 2

Experimental setup. The wave-number-dependent SOP of the light emerging from the BSC is measured by the spectroscopic polarimeter described here.

Fig. 3
Fig. 3

Measured channeled spectrum Pσ.

Fig. 4
Fig. 4

Magnitude of autocorrelation function Ch. The seven components included in Ch are separated over the h axis.

Fig. 5
Fig. 5

Normalized Stokes parameters. Solid and dashed curves show the experimentally obtained and theoretically calculated values, respectively.

Equations (14)

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Pσ=1/2S0σ+1/2S1σcosϕ2σ+1/2S2σsinϕ2σsinϕ1σ-1/2S3σsinϕ2σcosϕ1σ,
ϕjσ=2πBσdjσ=2πLjσ+Φjσ,
Lj=12πdϕjdσσ0=djBσ0+dBdσσ0σ0,
Φjσ=ϕjσ0-2πLjσ0+12d2ϕjdσ2σ0σ-σ02+,
Pσ=1/2S0σ+1/2S1σcos2πL2σ+Φ2σ+1/4S23σcos2πL1-L2σ+Φ1σ-Φ2σ+argS23σ-1/4S23σcos2πL1+L2σ+Φ1σ+Φ2σ+argS23σ,
S23σ=S2σ-iS3σ.
Ch=1/2A0h+1/4A1h-L2+1/4A1*-h-L2+1/8A2h-L1-L2+1/8A2*-h-L1-L2-1/8A3h-L1+L2-1/8A3*-h-L1+L2,
A0h=F-1S0σ,
A1h=F-1S1σexpiΦ2σ,
A2h=F-1S23σexpiΦ1σ-Φ2σ,
A3h=F-1S23σexpiΦ1σ+Φ2σ,
F1σ=1/2S0σ,
F2σ=1/4S1σexpiϕ2σ,
F4σ=1/8S2σ-iS3σ×expiϕ1σ-σ2σ.

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