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We report one-dimensional small displacement measurement of TEM00 mode with balanced homodyne detection. The smallest measurable displacement in our experimental setup is 0.3 nm. The conjugate properties of displacement and tilt are tested. Finally we analyze the effect of the deviation of local oscillator beam from TEM10 mode on the displacement measurement result. Experimental results are consistent well with the theoretical analyses.
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Keywords:
- displacement measurement /
- homodyne detection /
- Hermite-Gauss mode
[1] Treps N, Grosse N, Bowen W P, Fabre C, Bachor Hans-A, Lam P K 2003 Science 301 940
[2] Wagner K, Janousek J, Delaubert V, Zou H, Harb C, Treps N, Morizur J F, Lam P K, Bachor Hans A 2008 Science 321 541
[3] Boyer V, Marino A M, Pooser R C, Lett P D 2008 Science 321 544
[4] Kolobov M I 2007 Quantum imaging (Springer publishing house).
[5] Cheng J, Han S S, Yan Y J 2006 Chin. Phys. 15 2002
[6] Delaubert V, Treps N, Lassen M, Harb C C, Fabre C, Lam P K, Bachor H A 2006 Phys. Rev. A 74 053823
[7] Fabre C, Fouet J B, A Maitre 2000 Opt. Lett. 25 76
[8] Treps N, Andersen U, Buchler B, Lam P K, Maitre A, Bachor Hans-A, Fabre C 2002 Phys. Rev. Lett. 88 203601
[9] Hsu M T L, Delaubert V, Lam P K, Bowen W P 2004 J. Opt. B: Quantum Semiclass. Opt. 6 495
[10] Lassen M, Delaubert V, Harb C C, Lam P K, Treps N, Bachor Hans-A 2006 Journal of European Optical Society 1 06003
[11] Delaubert V, Lassen M, Pulford D R N, Bachor Hans -A, Harb C C 2007 Opt. Expr. 15 5815
[12] Martinelli M, Treps N, Ducci S, Gigan S, Maitre A, Fabre C 2003 Phys. Rev. A 67 023808
[13] Treps N, Grosse N, Bowen W P, Hsu M T L, Maitre A, Fabre C, Bachor Hans-A, Lam P K 2004 J. Opt. B: Quantum Semiclass. Opt. 6 S664
[14] Zhai Z H, Li Y M, Wang S K, Guo J, Zhang T C, Gao J R, 2005 Acta Phys. Sin. 54 2710 (in Chinese) [翟泽辉、 李永明、 王少凯、 郭 娟、 张天才、 郜江瑞 2005 54 2710]
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[1] Treps N, Grosse N, Bowen W P, Fabre C, Bachor Hans-A, Lam P K 2003 Science 301 940
[2] Wagner K, Janousek J, Delaubert V, Zou H, Harb C, Treps N, Morizur J F, Lam P K, Bachor Hans A 2008 Science 321 541
[3] Boyer V, Marino A M, Pooser R C, Lett P D 2008 Science 321 544
[4] Kolobov M I 2007 Quantum imaging (Springer publishing house).
[5] Cheng J, Han S S, Yan Y J 2006 Chin. Phys. 15 2002
[6] Delaubert V, Treps N, Lassen M, Harb C C, Fabre C, Lam P K, Bachor H A 2006 Phys. Rev. A 74 053823
[7] Fabre C, Fouet J B, A Maitre 2000 Opt. Lett. 25 76
[8] Treps N, Andersen U, Buchler B, Lam P K, Maitre A, Bachor Hans-A, Fabre C 2002 Phys. Rev. Lett. 88 203601
[9] Hsu M T L, Delaubert V, Lam P K, Bowen W P 2004 J. Opt. B: Quantum Semiclass. Opt. 6 495
[10] Lassen M, Delaubert V, Harb C C, Lam P K, Treps N, Bachor Hans-A 2006 Journal of European Optical Society 1 06003
[11] Delaubert V, Lassen M, Pulford D R N, Bachor Hans -A, Harb C C 2007 Opt. Expr. 15 5815
[12] Martinelli M, Treps N, Ducci S, Gigan S, Maitre A, Fabre C 2003 Phys. Rev. A 67 023808
[13] Treps N, Grosse N, Bowen W P, Hsu M T L, Maitre A, Fabre C, Bachor Hans-A, Lam P K 2004 J. Opt. B: Quantum Semiclass. Opt. 6 S664
[14] Zhai Z H, Li Y M, Wang S K, Guo J, Zhang T C, Gao J R, 2005 Acta Phys. Sin. 54 2710 (in Chinese) [翟泽辉、 李永明、 王少凯、 郭 娟、 张天才、 郜江瑞 2005 54 2710]
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