Abstract

We report on the measurement of the optical absorption of bulk crystalline silicon at 1550 nm. Using the photodeflection technique, absorption as low as 5ppm/cm has been measured on a sample with a resistivity of 10kΩ·cm. The absorption as a function of the resistivity has been derived for n-type silicon.

© 2013 Optical Society of America

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    [CrossRef]
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    [CrossRef]

2013

J. Steinlechner, C. Krüger, N. Lastzka, S. Steinlechner, A. Khalaidovski, and R. Schnabel, Class. Quantum Grav. 30, 095007 (2013).
[CrossRef]

2011

M. Pitkin, S. Reid, S. Rowan, and J. Hough, Living Rev. Relativity 14, 5 (2011).
[CrossRef]

2008

R. Nawrodt, A. Zimmer, T. Koettig, C. Schwarz, D. Heinert, M. Hudl, R. Neubert, M. Thürk, S. Nietzsche, W. Vodel, P. Seidel, and A. Tünnermann, J. Phys. Conf. Ser. 122, 012008 (2008).
[CrossRef]

M. A. Green, Sol. Energy Mater. Sol. Cells 92, 1305 (2008).
[CrossRef]

2006

2004

B. Cimma, D. Forest, P. Ganau, B. Lagrange, J.-M. Mackowski, C. Michel, J.-L. Montorio, N. Morgado, R. Pignard, L. Pinard, and A. Remillieux, Proc. SPIE 5252, 322 (2004).
[CrossRef]

1981

1964

C. J. Glassbrenner and G. A. Slack, Phys. Rev. 134, A1058 (1964).
[CrossRef]

1957

W. Spitzer and H. Y. Fan, Phys. Rev. 108, 268 (1957).
[CrossRef]

Abernathy, M. R.

R. Bassiri, M. R. Abernathy, R. L. Byer, K. Craig, and K. Evans, “Coatings Research Overview,” Tech. Rep. LIGO-G1300266 (LVC Meeting, 2013).

Amer, N. M.

Bassiri, R.

R. Bassiri, M. R. Abernathy, R. L. Byer, K. Craig, and K. Evans, “Coatings Research Overview,” Tech. Rep. LIGO-G1300266 (LVC Meeting, 2013).

Bevington, P.

P. Bevington and D. Robinson, Data Reduction and Error Analysis for the Physical Sciences (McGraw-Hill, 2003).

Blair, D. G.

Boccara, A. C.

Byer, R. L.

R. Bassiri, M. R. Abernathy, R. L. Byer, K. Craig, and K. Evans, “Coatings Research Overview,” Tech. Rep. LIGO-G1300266 (LVC Meeting, 2013).

Cimma, B.

B. Cimma, D. Forest, P. Ganau, B. Lagrange, J.-M. Mackowski, C. Michel, J.-L. Montorio, N. Morgado, R. Pignard, L. Pinard, and A. Remillieux, Proc. SPIE 5252, 322 (2004).
[CrossRef]

Craig, K.

R. Bassiri, M. R. Abernathy, R. L. Byer, K. Craig, and K. Evans, “Coatings Research Overview,” Tech. Rep. LIGO-G1300266 (LVC Meeting, 2013).

Evans, K.

R. Bassiri, M. R. Abernathy, R. L. Byer, K. Craig, and K. Evans, “Coatings Research Overview,” Tech. Rep. LIGO-G1300266 (LVC Meeting, 2013).

Fan, H. Y.

W. Spitzer and H. Y. Fan, Phys. Rev. 108, 268 (1957).
[CrossRef]

Forest, D.

B. Cimma, D. Forest, P. Ganau, B. Lagrange, J.-M. Mackowski, C. Michel, J.-L. Montorio, N. Morgado, R. Pignard, L. Pinard, and A. Remillieux, Proc. SPIE 5252, 322 (2004).
[CrossRef]

Fournier, D.

Ganau, P.

B. Cimma, D. Forest, P. Ganau, B. Lagrange, J.-M. Mackowski, C. Michel, J.-L. Montorio, N. Morgado, R. Pignard, L. Pinard, and A. Remillieux, Proc. SPIE 5252, 322 (2004).
[CrossRef]

Glassbrenner, C. J.

C. J. Glassbrenner and G. A. Slack, Phys. Rev. 134, A1058 (1964).
[CrossRef]

Gras, S.

Green, M. A.

M. A. Green, Sol. Energy Mater. Sol. Cells 92, 1305 (2008).
[CrossRef]

Heinert, D.

R. Nawrodt, A. Zimmer, T. Koettig, C. Schwarz, D. Heinert, M. Hudl, R. Neubert, M. Thürk, S. Nietzsche, W. Vodel, P. Seidel, and A. Tünnermann, J. Phys. Conf. Ser. 122, 012008 (2008).
[CrossRef]

Hough, J.

M. Pitkin, S. Reid, S. Rowan, and J. Hough, Living Rev. Relativity 14, 5 (2011).
[CrossRef]

Hudl, M.

R. Nawrodt, A. Zimmer, T. Koettig, C. Schwarz, D. Heinert, M. Hudl, R. Neubert, M. Thürk, S. Nietzsche, W. Vodel, P. Seidel, and A. Tünnermann, J. Phys. Conf. Ser. 122, 012008 (2008).
[CrossRef]

Jackson, W. B.

Ju, L.

Khalaidovski, A.

J. Steinlechner, C. Krüger, N. Lastzka, S. Steinlechner, A. Khalaidovski, and R. Schnabel, Class. Quantum Grav. 30, 095007 (2013).
[CrossRef]

Koettig, T.

R. Nawrodt, A. Zimmer, T. Koettig, C. Schwarz, D. Heinert, M. Hudl, R. Neubert, M. Thürk, S. Nietzsche, W. Vodel, P. Seidel, and A. Tünnermann, J. Phys. Conf. Ser. 122, 012008 (2008).
[CrossRef]

Krüger, C.

J. Steinlechner, C. Krüger, N. Lastzka, S. Steinlechner, A. Khalaidovski, and R. Schnabel, Class. Quantum Grav. 30, 095007 (2013).
[CrossRef]

Kuroda, K.

Lagrange, B.

B. Cimma, D. Forest, P. Ganau, B. Lagrange, J.-M. Mackowski, C. Michel, J.-L. Montorio, N. Morgado, R. Pignard, L. Pinard, and A. Remillieux, Proc. SPIE 5252, 322 (2004).
[CrossRef]

Lastzka, N.

J. Steinlechner, C. Krüger, N. Lastzka, S. Steinlechner, A. Khalaidovski, and R. Schnabel, Class. Quantum Grav. 30, 095007 (2013).
[CrossRef]

Mackowski, J.-M.

Z. Yan, L. Ju, C. Zhao, S. Gras, D. G. Blair, M. Tokunari, K. Kuroda, J.-M. Mackowski, and A. Remillieux, Appl. Opt. 45, 2631 (2006).
[CrossRef]

B. Cimma, D. Forest, P. Ganau, B. Lagrange, J.-M. Mackowski, C. Michel, J.-L. Montorio, N. Morgado, R. Pignard, L. Pinard, and A. Remillieux, Proc. SPIE 5252, 322 (2004).
[CrossRef]

Michel, C.

B. Cimma, D. Forest, P. Ganau, B. Lagrange, J.-M. Mackowski, C. Michel, J.-L. Montorio, N. Morgado, R. Pignard, L. Pinard, and A. Remillieux, Proc. SPIE 5252, 322 (2004).
[CrossRef]

Montorio, J.-L.

B. Cimma, D. Forest, P. Ganau, B. Lagrange, J.-M. Mackowski, C. Michel, J.-L. Montorio, N. Morgado, R. Pignard, L. Pinard, and A. Remillieux, Proc. SPIE 5252, 322 (2004).
[CrossRef]

Morgado, N.

B. Cimma, D. Forest, P. Ganau, B. Lagrange, J.-M. Mackowski, C. Michel, J.-L. Montorio, N. Morgado, R. Pignard, L. Pinard, and A. Remillieux, Proc. SPIE 5252, 322 (2004).
[CrossRef]

Nawrodt, R.

R. Nawrodt, A. Zimmer, T. Koettig, C. Schwarz, D. Heinert, M. Hudl, R. Neubert, M. Thürk, S. Nietzsche, W. Vodel, P. Seidel, and A. Tünnermann, J. Phys. Conf. Ser. 122, 012008 (2008).
[CrossRef]

Neubert, R.

R. Nawrodt, A. Zimmer, T. Koettig, C. Schwarz, D. Heinert, M. Hudl, R. Neubert, M. Thürk, S. Nietzsche, W. Vodel, P. Seidel, and A. Tünnermann, J. Phys. Conf. Ser. 122, 012008 (2008).
[CrossRef]

Nietzsche, S.

R. Nawrodt, A. Zimmer, T. Koettig, C. Schwarz, D. Heinert, M. Hudl, R. Neubert, M. Thürk, S. Nietzsche, W. Vodel, P. Seidel, and A. Tünnermann, J. Phys. Conf. Ser. 122, 012008 (2008).
[CrossRef]

Pignard, R.

B. Cimma, D. Forest, P. Ganau, B. Lagrange, J.-M. Mackowski, C. Michel, J.-L. Montorio, N. Morgado, R. Pignard, L. Pinard, and A. Remillieux, Proc. SPIE 5252, 322 (2004).
[CrossRef]

Pinard, L.

B. Cimma, D. Forest, P. Ganau, B. Lagrange, J.-M. Mackowski, C. Michel, J.-L. Montorio, N. Morgado, R. Pignard, L. Pinard, and A. Remillieux, Proc. SPIE 5252, 322 (2004).
[CrossRef]

Pitkin, M.

M. Pitkin, S. Reid, S. Rowan, and J. Hough, Living Rev. Relativity 14, 5 (2011).
[CrossRef]

Reid, S.

M. Pitkin, S. Reid, S. Rowan, and J. Hough, Living Rev. Relativity 14, 5 (2011).
[CrossRef]

Remillieux, A.

Z. Yan, L. Ju, C. Zhao, S. Gras, D. G. Blair, M. Tokunari, K. Kuroda, J.-M. Mackowski, and A. Remillieux, Appl. Opt. 45, 2631 (2006).
[CrossRef]

B. Cimma, D. Forest, P. Ganau, B. Lagrange, J.-M. Mackowski, C. Michel, J.-L. Montorio, N. Morgado, R. Pignard, L. Pinard, and A. Remillieux, Proc. SPIE 5252, 322 (2004).
[CrossRef]

Robinson, D.

P. Bevington and D. Robinson, Data Reduction and Error Analysis for the Physical Sciences (McGraw-Hill, 2003).

Rowan, S.

M. Pitkin, S. Reid, S. Rowan, and J. Hough, Living Rev. Relativity 14, 5 (2011).
[CrossRef]

Schnabel, R.

J. Steinlechner, C. Krüger, N. Lastzka, S. Steinlechner, A. Khalaidovski, and R. Schnabel, Class. Quantum Grav. 30, 095007 (2013).
[CrossRef]

Schwarz, C.

R. Nawrodt, A. Zimmer, T. Koettig, C. Schwarz, D. Heinert, M. Hudl, R. Neubert, M. Thürk, S. Nietzsche, W. Vodel, P. Seidel, and A. Tünnermann, J. Phys. Conf. Ser. 122, 012008 (2008).
[CrossRef]

Seidel, P.

R. Nawrodt, A. Zimmer, T. Koettig, C. Schwarz, D. Heinert, M. Hudl, R. Neubert, M. Thürk, S. Nietzsche, W. Vodel, P. Seidel, and A. Tünnermann, J. Phys. Conf. Ser. 122, 012008 (2008).
[CrossRef]

Slack, G. A.

C. J. Glassbrenner and G. A. Slack, Phys. Rev. 134, A1058 (1964).
[CrossRef]

Spitzer, W.

W. Spitzer and H. Y. Fan, Phys. Rev. 108, 268 (1957).
[CrossRef]

Steinlechner, J.

J. Steinlechner, C. Krüger, N. Lastzka, S. Steinlechner, A. Khalaidovski, and R. Schnabel, Class. Quantum Grav. 30, 095007 (2013).
[CrossRef]

Steinlechner, S.

J. Steinlechner, C. Krüger, N. Lastzka, S. Steinlechner, A. Khalaidovski, and R. Schnabel, Class. Quantum Grav. 30, 095007 (2013).
[CrossRef]

Thürk, M.

R. Nawrodt, A. Zimmer, T. Koettig, C. Schwarz, D. Heinert, M. Hudl, R. Neubert, M. Thürk, S. Nietzsche, W. Vodel, P. Seidel, and A. Tünnermann, J. Phys. Conf. Ser. 122, 012008 (2008).
[CrossRef]

Tokunari, M.

Tünnermann, A.

R. Nawrodt, A. Zimmer, T. Koettig, C. Schwarz, D. Heinert, M. Hudl, R. Neubert, M. Thürk, S. Nietzsche, W. Vodel, P. Seidel, and A. Tünnermann, J. Phys. Conf. Ser. 122, 012008 (2008).
[CrossRef]

Vodel, W.

R. Nawrodt, A. Zimmer, T. Koettig, C. Schwarz, D. Heinert, M. Hudl, R. Neubert, M. Thürk, S. Nietzsche, W. Vodel, P. Seidel, and A. Tünnermann, J. Phys. Conf. Ser. 122, 012008 (2008).
[CrossRef]

Yan, Z.

Zhao, C.

Zimmer, A.

R. Nawrodt, A. Zimmer, T. Koettig, C. Schwarz, D. Heinert, M. Hudl, R. Neubert, M. Thürk, S. Nietzsche, W. Vodel, P. Seidel, and A. Tünnermann, J. Phys. Conf. Ser. 122, 012008 (2008).
[CrossRef]

Appl. Opt.

Class. Quantum Grav.

J. Steinlechner, C. Krüger, N. Lastzka, S. Steinlechner, A. Khalaidovski, and R. Schnabel, Class. Quantum Grav. 30, 095007 (2013).
[CrossRef]

J. Phys. Conf. Ser.

R. Nawrodt, A. Zimmer, T. Koettig, C. Schwarz, D. Heinert, M. Hudl, R. Neubert, M. Thürk, S. Nietzsche, W. Vodel, P. Seidel, and A. Tünnermann, J. Phys. Conf. Ser. 122, 012008 (2008).
[CrossRef]

Living Rev. Relativity

M. Pitkin, S. Reid, S. Rowan, and J. Hough, Living Rev. Relativity 14, 5 (2011).
[CrossRef]

Phys. Rev.

C. J. Glassbrenner and G. A. Slack, Phys. Rev. 134, A1058 (1964).
[CrossRef]

W. Spitzer and H. Y. Fan, Phys. Rev. 108, 268 (1957).
[CrossRef]

Proc. SPIE

B. Cimma, D. Forest, P. Ganau, B. Lagrange, J.-M. Mackowski, C. Michel, J.-L. Montorio, N. Morgado, R. Pignard, L. Pinard, and A. Remillieux, Proc. SPIE 5252, 322 (2004).
[CrossRef]

Sol. Energy Mater. Sol. Cells

M. A. Green, Sol. Energy Mater. Sol. Cells 92, 1305 (2008).
[CrossRef]

Other

R. Bassiri, M. R. Abernathy, R. L. Byer, K. Craig, and K. Evans, “Coatings Research Overview,” Tech. Rep. LIGO-G1300266 (LVC Meeting, 2013).

ET science team, “Einstein gravitational wave Telescope conceptual design study,” Tech. Rep. ET-0106C-10 (Einstein Telescope Project, 2011).

ET science team, Class. Quantum Grav.27, 194002 (2010).

P. Bevington and D. Robinson, Data Reduction and Error Analysis for the Physical Sciences (McGraw-Hill, 2003).

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Figures (3)

Fig. 1.
Fig. 1.

Setup of a metrology bench using the photodeflection technique. In our case, the pump laser has a maximum continuous power of 30 W, while the probe laser is only 2 mW.

Fig. 2.
Fig. 2.

Uncalibrated deviation as a function of the laser pump power for the silicon sample ST4. Linear fit with the derived parameter S is also shown.

Fig. 3.
Fig. 3.

Bulk optical absorption as a function of the resistivity for silicon material at 1550 nm. For the samples ST1 to ST4, the error bars are within the square data points.

Tables (1)

Tables Icon

Table 1. Characteristics of the Silicon Samples Tested

Equations (4)

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

αST1=0.272±0.015/cm.
αST4=SST4SST1×αST1,
(σαST4αST4)2=(σSST4SST4)2+(σSST1SST1)2+(σαST1αST1)2.
α=(0.0454±0.0007)1R.

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