Abstract

In this Letter, the generation of a 1.5 μm discrete frequency-entangled two-photon state is realized based on a piece of commercial polarization-maintaining fiber (PMF). It is connected with a polarization beam splitter to realize a modified Sagnac fiber loop (MSFL). Correlated two-photon states are generated through a spontaneous four-wave-mixing process along the two propagation directions of the MSFL, and output from the MSFL with orthogonal polarizations. Their quantum interference is realized through a 45° polarization collimation between polarization axes of PMFs inside and outside the MSFL, while their phase difference is controlled by the polarization state of the pump light. The frequency-entangled property of the two-photon state is demonstrated by a spatial quantum beating experiment with a fringe visibility of 98.2±1.3%, without subtracting the accidental coincidence counts. The proposed scheme generates a 1.5 μm discrete frequency-entangled two-photon state in a polarization-maintaining way, which is desired in practical quantum light sources.

© 2014 Optical Society of America

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References

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    [CrossRef]
  2. L. M. Duan and C. Monroe, Rev. Mod. Phys. 82, 1209 (2010).
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2014 (2)

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Marshall, J. G. Rarity, J. L. O’Brien, and M. G. Thompson, Nat. Photonics 8, 104 (2014).
[CrossRef]

B. Fang, O. Cohen, and V. O. Lorenz, J. Opt. Soc. Am. B 31, 277 (2014).
[CrossRef]

2013 (2)

E. Meyer-Scott, V. Roy, J.-P. Bourgoin, B. L. Higgins, L. K. Shalm, and T. Jennewein, Opt. Express 21, 6205 (2013).
[CrossRef]

Q. Zhou, W. Zhang, T. Niu, S. Dong, Y. Huang, and J. Peng, Eur. Phys. J. D 67, 202 (2013).
[CrossRef]

2012 (1)

2010 (1)

L. M. Duan and C. Monroe, Rev. Mod. Phys. 82, 1209 (2010).
[CrossRef]

2009 (4)

O. Minaeva, C. Bonato, B. E. A. Saleh, D. S. Simon, and A. V. Sergienko, Phys. Rev. Lett. 102, 100504 (2009).
[CrossRef]

S. Ramelow, L. Ratschbacher, A. Fedrizzi, N. K. Langford, and A. Zeilinger, Phys. Rev. Lett. 103, 253601 (2009).
[CrossRef]

X. Li, L. Yang, X. Ma, L. Cui, Z. Y. Ou, and D. Yu, Phys. Rev. A 79, 033817 (2009).
[CrossRef]

Q. Zhou, W. Zhang, J. Cheng, Y. Huang, and J. Peng, Opt. Lett. 34, 2706 (2009).
[CrossRef]

2008 (2)

H. J. Kimble, Nature 453, 1023 (2008).
[CrossRef]

L. Xiao, C. Wang, W. Zhang, Y. Huang, J. Peng, and G. Long, Phys. Rev. A 77, 042315 (2008).
[CrossRef]

2006 (1)

2005 (2)

X. Li, P. L. Voss, J. E. Sharping, and P. Kumar, Phys. Rev. Lett. 94, 053601 (2005).
[CrossRef]

M. de Burgh and S. D. Bartlett, Phys. Rev. A 72, 042301 (2005).
[CrossRef]

2003 (1)

M. Fujiwara, M. Takeoka, J. Mizuno, and M. Sasaki, Phys. Rev. Lett. 90, 167906 (2003).
[CrossRef]

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D. Bruss and C. Macchiavello, Phys. Rev. Lett. 88, 127901 (2002).
[CrossRef]

N. J. Cerf, M. Bourennane, A. Karlsson, and N. Gisin, Phys. Rev. Lett. 88, 127902 (2002).
[CrossRef]

2001 (1)

V. Giovannetti, S. Lloyd, and L. Maccone, Nature 412, 417 (2001).
[CrossRef]

1988 (1)

Z. Y. Ou and L. Mandel, Phys. Rev. Lett. 61, 54 (1988).
[CrossRef]

Bartlett, S. D.

M. de Burgh and S. D. Bartlett, Phys. Rev. A 72, 042301 (2005).
[CrossRef]

Bonato, C.

O. Minaeva, C. Bonato, B. E. A. Saleh, D. S. Simon, and A. V. Sergienko, Phys. Rev. Lett. 102, 100504 (2009).
[CrossRef]

Bonneau, D.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Marshall, J. G. Rarity, J. L. O’Brien, and M. G. Thompson, Nat. Photonics 8, 104 (2014).
[CrossRef]

Bourennane, M.

N. J. Cerf, M. Bourennane, A. Karlsson, and N. Gisin, Phys. Rev. Lett. 88, 127902 (2002).
[CrossRef]

Bourgoin, J.-P.

Bruss, D.

D. Bruss and C. Macchiavello, Phys. Rev. Lett. 88, 127901 (2002).
[CrossRef]

Cerf, N. J.

N. J. Cerf, M. Bourennane, A. Karlsson, and N. Gisin, Phys. Rev. Lett. 88, 127902 (2002).
[CrossRef]

Cheng, J.

Cohen, O.

Cui, L.

X. Li, L. Yang, X. Ma, L. Cui, Z. Y. Ou, and D. Yu, Phys. Rev. A 79, 033817 (2009).
[CrossRef]

de Burgh, M.

M. de Burgh and S. D. Bartlett, Phys. Rev. A 72, 042301 (2005).
[CrossRef]

Dong, S.

Q. Zhou, W. Zhang, T. Niu, S. Dong, Y. Huang, and J. Peng, Eur. Phys. J. D 67, 202 (2013).
[CrossRef]

Duan, L. M.

L. M. Duan and C. Monroe, Rev. Mod. Phys. 82, 1209 (2010).
[CrossRef]

Ezaki, M.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Marshall, J. G. Rarity, J. L. O’Brien, and M. G. Thompson, Nat. Photonics 8, 104 (2014).
[CrossRef]

Fang, B.

Fedrizzi, A.

S. Ramelow, L. Ratschbacher, A. Fedrizzi, N. K. Langford, and A. Zeilinger, Phys. Rev. Lett. 103, 253601 (2009).
[CrossRef]

Fujiwara, M.

M. Fujiwara, M. Takeoka, J. Mizuno, and M. Sasaki, Phys. Rev. Lett. 90, 167906 (2003).
[CrossRef]

Giovannetti, V.

V. Giovannetti, S. Lloyd, and L. Maccone, Nature 412, 417 (2001).
[CrossRef]

Gisin, N.

N. J. Cerf, M. Bourennane, A. Karlsson, and N. Gisin, Phys. Rev. Lett. 88, 127902 (2002).
[CrossRef]

Hadfield, R. H.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Marshall, J. G. Rarity, J. L. O’Brien, and M. G. Thompson, Nat. Photonics 8, 104 (2014).
[CrossRef]

Higgins, B. L.

Huang, Y.

Q. Zhou, W. Zhang, T. Niu, S. Dong, Y. Huang, and J. Peng, Eur. Phys. J. D 67, 202 (2013).
[CrossRef]

Q. Zhou, W. Zhang, P. Wang, Y. Huang, and J. Peng, Opt. Lett. 37, 1679 (2012).
[CrossRef]

Q. Zhou, W. Zhang, J. Cheng, Y. Huang, and J. Peng, Opt. Lett. 34, 2706 (2009).
[CrossRef]

L. Xiao, C. Wang, W. Zhang, Y. Huang, J. Peng, and G. Long, Phys. Rev. A 77, 042315 (2008).
[CrossRef]

Iizuka, N.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Marshall, J. G. Rarity, J. L. O’Brien, and M. G. Thompson, Nat. Photonics 8, 104 (2014).
[CrossRef]

Jennewein, T.

Karlsson, A.

N. J. Cerf, M. Bourennane, A. Karlsson, and N. Gisin, Phys. Rev. Lett. 88, 127902 (2002).
[CrossRef]

Kimble, H. J.

H. J. Kimble, Nature 453, 1023 (2008).
[CrossRef]

Kumar, P.

X. Li, P. L. Voss, J. E. Sharping, and P. Kumar, Phys. Rev. Lett. 94, 053601 (2005).
[CrossRef]

Langford, N. K.

S. Ramelow, L. Ratschbacher, A. Fedrizzi, N. K. Langford, and A. Zeilinger, Phys. Rev. Lett. 103, 253601 (2009).
[CrossRef]

Li, X.

X. Li, L. Yang, X. Ma, L. Cui, Z. Y. Ou, and D. Yu, Phys. Rev. A 79, 033817 (2009).
[CrossRef]

X. Li, P. L. Voss, J. E. Sharping, and P. Kumar, Phys. Rev. Lett. 94, 053601 (2005).
[CrossRef]

Lloyd, S.

V. Giovannetti, S. Lloyd, and L. Maccone, Nature 412, 417 (2001).
[CrossRef]

Long, G.

L. Xiao, C. Wang, W. Zhang, Y. Huang, J. Peng, and G. Long, Phys. Rev. A 77, 042315 (2008).
[CrossRef]

Lorenz, V. O.

Ma, X.

X. Li, L. Yang, X. Ma, L. Cui, Z. Y. Ou, and D. Yu, Phys. Rev. A 79, 033817 (2009).
[CrossRef]

Macchiavello, C.

D. Bruss and C. Macchiavello, Phys. Rev. Lett. 88, 127901 (2002).
[CrossRef]

Maccone, L.

V. Giovannetti, S. Lloyd, and L. Maccone, Nature 412, 417 (2001).
[CrossRef]

Mandel, L.

Z. Y. Ou and L. Mandel, Phys. Rev. Lett. 61, 54 (1988).
[CrossRef]

Marshall, G. D.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Marshall, J. G. Rarity, J. L. O’Brien, and M. G. Thompson, Nat. Photonics 8, 104 (2014).
[CrossRef]

Meyer-Scott, E.

Minaeva, O.

O. Minaeva, C. Bonato, B. E. A. Saleh, D. S. Simon, and A. V. Sergienko, Phys. Rev. Lett. 102, 100504 (2009).
[CrossRef]

Mizuno, J.

M. Fujiwara, M. Takeoka, J. Mizuno, and M. Sasaki, Phys. Rev. Lett. 90, 167906 (2003).
[CrossRef]

Monroe, C.

L. M. Duan and C. Monroe, Rev. Mod. Phys. 82, 1209 (2010).
[CrossRef]

Natarajan, C. M.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Marshall, J. G. Rarity, J. L. O’Brien, and M. G. Thompson, Nat. Photonics 8, 104 (2014).
[CrossRef]

Niu, T.

Q. Zhou, W. Zhang, T. Niu, S. Dong, Y. Huang, and J. Peng, Eur. Phys. J. D 67, 202 (2013).
[CrossRef]

O’Brien, J. L.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Marshall, J. G. Rarity, J. L. O’Brien, and M. G. Thompson, Nat. Photonics 8, 104 (2014).
[CrossRef]

Ohira, K.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Marshall, J. G. Rarity, J. L. O’Brien, and M. G. Thompson, Nat. Photonics 8, 104 (2014).
[CrossRef]

Ou, Z. Y.

X. Li, L. Yang, X. Ma, L. Cui, Z. Y. Ou, and D. Yu, Phys. Rev. A 79, 033817 (2009).
[CrossRef]

Z. Y. Ou and L. Mandel, Phys. Rev. Lett. 61, 54 (1988).
[CrossRef]

Peng, J.

Q. Zhou, W. Zhang, T. Niu, S. Dong, Y. Huang, and J. Peng, Eur. Phys. J. D 67, 202 (2013).
[CrossRef]

Q. Zhou, W. Zhang, P. Wang, Y. Huang, and J. Peng, Opt. Lett. 37, 1679 (2012).
[CrossRef]

Q. Zhou, W. Zhang, J. Cheng, Y. Huang, and J. Peng, Opt. Lett. 34, 2706 (2009).
[CrossRef]

L. Xiao, C. Wang, W. Zhang, Y. Huang, J. Peng, and G. Long, Phys. Rev. A 77, 042315 (2008).
[CrossRef]

Ramelow, S.

S. Ramelow, L. Ratschbacher, A. Fedrizzi, N. K. Langford, and A. Zeilinger, Phys. Rev. Lett. 103, 253601 (2009).
[CrossRef]

Rarity, J. G.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Marshall, J. G. Rarity, J. L. O’Brien, and M. G. Thompson, Nat. Photonics 8, 104 (2014).
[CrossRef]

Ratschbacher, L.

S. Ramelow, L. Ratschbacher, A. Fedrizzi, N. K. Langford, and A. Zeilinger, Phys. Rev. Lett. 103, 253601 (2009).
[CrossRef]

Roy, V.

Saleh, B. E. A.

O. Minaeva, C. Bonato, B. E. A. Saleh, D. S. Simon, and A. V. Sergienko, Phys. Rev. Lett. 102, 100504 (2009).
[CrossRef]

Sasaki, M.

M. Fujiwara, M. Takeoka, J. Mizuno, and M. Sasaki, Phys. Rev. Lett. 90, 167906 (2003).
[CrossRef]

Sergienko, A. V.

O. Minaeva, C. Bonato, B. E. A. Saleh, D. S. Simon, and A. V. Sergienko, Phys. Rev. Lett. 102, 100504 (2009).
[CrossRef]

Shalm, L. K.

Sharping, J. E.

X. Li, P. L. Voss, J. E. Sharping, and P. Kumar, Phys. Rev. Lett. 94, 053601 (2005).
[CrossRef]

Silverstone, J. W.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Marshall, J. G. Rarity, J. L. O’Brien, and M. G. Thompson, Nat. Photonics 8, 104 (2014).
[CrossRef]

Simon, D. S.

O. Minaeva, C. Bonato, B. E. A. Saleh, D. S. Simon, and A. V. Sergienko, Phys. Rev. Lett. 102, 100504 (2009).
[CrossRef]

Suzuki, N.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Marshall, J. G. Rarity, J. L. O’Brien, and M. G. Thompson, Nat. Photonics 8, 104 (2014).
[CrossRef]

Takeoka, M.

M. Fujiwara, M. Takeoka, J. Mizuno, and M. Sasaki, Phys. Rev. Lett. 90, 167906 (2003).
[CrossRef]

Takesue, H.

Tanner, M. G.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Marshall, J. G. Rarity, J. L. O’Brien, and M. G. Thompson, Nat. Photonics 8, 104 (2014).
[CrossRef]

Thompson, M. G.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Marshall, J. G. Rarity, J. L. O’Brien, and M. G. Thompson, Nat. Photonics 8, 104 (2014).
[CrossRef]

Voss, P. L.

X. Li, P. L. Voss, J. E. Sharping, and P. Kumar, Phys. Rev. Lett. 94, 053601 (2005).
[CrossRef]

Wang, C.

L. Xiao, C. Wang, W. Zhang, Y. Huang, J. Peng, and G. Long, Phys. Rev. A 77, 042315 (2008).
[CrossRef]

Wang, P.

Xiao, L.

L. Xiao, C. Wang, W. Zhang, Y. Huang, J. Peng, and G. Long, Phys. Rev. A 77, 042315 (2008).
[CrossRef]

Yang, L.

X. Li, L. Yang, X. Ma, L. Cui, Z. Y. Ou, and D. Yu, Phys. Rev. A 79, 033817 (2009).
[CrossRef]

Yoshida, H.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Marshall, J. G. Rarity, J. L. O’Brien, and M. G. Thompson, Nat. Photonics 8, 104 (2014).
[CrossRef]

Yu, D.

X. Li, L. Yang, X. Ma, L. Cui, Z. Y. Ou, and D. Yu, Phys. Rev. A 79, 033817 (2009).
[CrossRef]

Zeilinger, A.

S. Ramelow, L. Ratschbacher, A. Fedrizzi, N. K. Langford, and A. Zeilinger, Phys. Rev. Lett. 103, 253601 (2009).
[CrossRef]

Zhang, W.

Q. Zhou, W. Zhang, T. Niu, S. Dong, Y. Huang, and J. Peng, Eur. Phys. J. D 67, 202 (2013).
[CrossRef]

Q. Zhou, W. Zhang, P. Wang, Y. Huang, and J. Peng, Opt. Lett. 37, 1679 (2012).
[CrossRef]

Q. Zhou, W. Zhang, J. Cheng, Y. Huang, and J. Peng, Opt. Lett. 34, 2706 (2009).
[CrossRef]

L. Xiao, C. Wang, W. Zhang, Y. Huang, J. Peng, and G. Long, Phys. Rev. A 77, 042315 (2008).
[CrossRef]

Zhou, Q.

Zwiller, V.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Marshall, J. G. Rarity, J. L. O’Brien, and M. G. Thompson, Nat. Photonics 8, 104 (2014).
[CrossRef]

Eur. Phys. J. D (1)

Q. Zhou, W. Zhang, T. Niu, S. Dong, Y. Huang, and J. Peng, Eur. Phys. J. D 67, 202 (2013).
[CrossRef]

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

Nat. Photonics (1)

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Marshall, J. G. Rarity, J. L. O’Brien, and M. G. Thompson, Nat. Photonics 8, 104 (2014).
[CrossRef]

Nature (2)

H. J. Kimble, Nature 453, 1023 (2008).
[CrossRef]

V. Giovannetti, S. Lloyd, and L. Maccone, Nature 412, 417 (2001).
[CrossRef]

Opt. Express (2)

Opt. Lett. (2)

Phys. Rev. A (3)

X. Li, L. Yang, X. Ma, L. Cui, Z. Y. Ou, and D. Yu, Phys. Rev. A 79, 033817 (2009).
[CrossRef]

L. Xiao, C. Wang, W. Zhang, Y. Huang, J. Peng, and G. Long, Phys. Rev. A 77, 042315 (2008).
[CrossRef]

M. de Burgh and S. D. Bartlett, Phys. Rev. A 72, 042301 (2005).
[CrossRef]

Phys. Rev. Lett. (7)

O. Minaeva, C. Bonato, B. E. A. Saleh, D. S. Simon, and A. V. Sergienko, Phys. Rev. Lett. 102, 100504 (2009).
[CrossRef]

S. Ramelow, L. Ratschbacher, A. Fedrizzi, N. K. Langford, and A. Zeilinger, Phys. Rev. Lett. 103, 253601 (2009).
[CrossRef]

M. Fujiwara, M. Takeoka, J. Mizuno, and M. Sasaki, Phys. Rev. Lett. 90, 167906 (2003).
[CrossRef]

D. Bruss and C. Macchiavello, Phys. Rev. Lett. 88, 127901 (2002).
[CrossRef]

N. J. Cerf, M. Bourennane, A. Karlsson, and N. Gisin, Phys. Rev. Lett. 88, 127902 (2002).
[CrossRef]

X. Li, P. L. Voss, J. E. Sharping, and P. Kumar, Phys. Rev. Lett. 94, 053601 (2005).
[CrossRef]

Z. Y. Ou and L. Mandel, Phys. Rev. Lett. 61, 54 (1988).
[CrossRef]

Rev. Mod. Phys. (1)

L. M. Duan and C. Monroe, Rev. Mod. Phys. 82, 1209 (2010).
[CrossRef]

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Figures (3)

Fig. 1.
Fig. 1.

Experimental setup. VOA, variable optical attenuator; PM, power meter; FB, fiber bench; DWDM, dense wavelength division multiplexer; PBS, polarization beam splitter; SPD, single photon detector; QWP, quarter-wave plate; HWP, half-wave plate; 50/50, 50/50 fiber coupler.

Fig. 2.
Fig. 2.

Experimental results of the nonclassical TPI. The main figure shows the output possibilities. Circles and squares are the experimental results of the spatial bunched and antibunched two-photon states, respectively. Solid and dashed lines are their respective fitting curves. The inset gives the measured coincidence counts under different polarization extinction ratios of pump light.

Fig. 3.
Fig. 3.

(a) Setup for measuring spatial quantum beating: VDL, variable delay line; 50/50, 50/50 coupler; PC, polarization controller. (b) Spatial quantum beating of discrete frequency-entangled two-photon state. Circles are experimental results; solid line is the fitting curve with a fitting visibility of 98.2±1.3%, without subtracting accidental coincidence counts.

Equations (5)

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

φp=±2×atan(10Rper/10),
ψ0=12(|ωsωiH,CCW+ei2φp|ωsωiV,CW),
ψ1=12((1+ei2φp)ψb+(1ei2φp)ψab),ψb=12(|ωsa|ωia+|ωsb|ωib),ψab=12(|ωsa|ωib+|ωsb|ωia),
Pbu=0.5×(1+cos(2φp)),Pab=0.5×(1cos(2φp)),
Pco1V0ξ(σ×Δτ)cos(|νiνs|×Δτ)ξ(σ×Δτ)=sinc(σ×Δτ),

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