Abstract

We report an accurate method to measure the group-velocity dispersion (GVD) of transparent materials by use of spectrally resolved phase-shifting interferometry. The GVD of silica glass slide measured using an eight-step phase-shifting algorithm agrees well with that calculated using the Sellmeier dispersion equation over the entire visible wavelength region, with a rms error of 0.0036μm2, better than that of other measurement methods reported so far.

© 2006 Optical Society of America

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2006 (1)

2005 (2)

S. K. Debnath and M. P. Kothiyal, Opt. Eng. 44, 013606 (2005).
[CrossRef]

D. Parrys, J-F. Allard, D. Morris, C. Pepin, D. Houde, and A. Cornet, J. Opt. A 7, 249 (2005).
[CrossRef]

2003 (1)

J. Calatroni, C. Sainz, and R. Escalona, J. Opt. A 5, S207 (2003).
[CrossRef]

2001 (3)

P. Hlubina, Opt. Commun. 193, 1 (2001).
[CrossRef]

I. A. Walmsley, L. Waxer, and C. Dorrer, Rev. Sci. Instrum. 72, 1 (2001).
[CrossRef]

C. Doerrer and M. Joffre, C. R. Acad. Sci. Paris 4, 1415 (2001).

1996 (2)

P. Sandoz, G. Tribillon, and H. Perrin, J. Mod. Opt. 43, 701 (1996).
[CrossRef]

J. Schmit and K. Creath, Appl. Opt. 35, 5642 (1996).
[CrossRef] [PubMed]

1995 (2)

1994 (3)

C. Sainz, P. Jourdain, R. Escalona, and J. Calatroni, Opt. Commun. 110, 381 (1994).
[CrossRef]

A. L. Guerrero, C. Sainz, and J. Calatroni, Opt. Commun. 109, 375 (1994).
[CrossRef]

W. H. Knox, Appl. Phys. B 58, 225 (1994).
[CrossRef]

1990 (1)

Allard, J-F.

D. Parrys, J-F. Allard, D. Morris, C. Pepin, D. Houde, and A. Cornet, J. Opt. A 7, 249 (2005).
[CrossRef]

Beck, M.

Bor, Zs.

Calatroni, J.

J. Calatroni, C. Sainz, and R. Escalona, J. Opt. A 5, S207 (2003).
[CrossRef]

A. L. Guerrero, C. Sainz, and J. Calatroni, Opt. Commun. 109, 375 (1994).
[CrossRef]

C. Sainz, P. Jourdain, R. Escalona, and J. Calatroni, Opt. Commun. 110, 381 (1994).
[CrossRef]

Cornet, A.

D. Parrys, J-F. Allard, D. Morris, C. Pepin, D. Houde, and A. Cornet, J. Opt. A 7, 249 (2005).
[CrossRef]

Creath, K.

Debnath, S. K.

Doerrer, C.

C. Doerrer and M. Joffre, C. R. Acad. Sci. Paris 4, 1415 (2001).

Dorrer, C.

I. A. Walmsley, L. Waxer, and C. Dorrer, Rev. Sci. Instrum. 72, 1 (2001).
[CrossRef]

Escalona, R.

J. Calatroni, C. Sainz, and R. Escalona, J. Opt. A 5, S207 (2003).
[CrossRef]

C. Sainz, P. Jourdain, R. Escalona, and J. Calatroni, Opt. Commun. 110, 381 (1994).
[CrossRef]

Ghatak, A.

A. Ghatak and K. Thyagarajan, Introduction to Fiber Optics, 1st ed. (Cambridge U. Press, 1998), pp. 78-83.

Guerrero, A. L.

A. L. Guerrero, C. Sainz, and J. Calatroni, Opt. Commun. 109, 375 (1994).
[CrossRef]

Hariharan, P.

Hlubina, P.

P. Hlubina, Opt. Commun. 193, 1 (2001).
[CrossRef]

Houde, D.

D. Parrys, J-F. Allard, D. Morris, C. Pepin, D. Houde, and A. Cornet, J. Opt. A 7, 249 (2005).
[CrossRef]

Joffre, M.

C. Doerrer and M. Joffre, C. R. Acad. Sci. Paris 4, 1415 (2001).

Jourdain, P.

C. Sainz, P. Jourdain, R. Escalona, and J. Calatroni, Opt. Commun. 110, 381 (1994).
[CrossRef]

Knox, W. H.

W. H. Knox, Appl. Phys. B 58, 225 (1994).
[CrossRef]

Kothiyal, M. P.

Kovacs, A. P.

Kumar, V. N.

Morris, D.

D. Parrys, J-F. Allard, D. Morris, C. Pepin, D. Houde, and A. Cornet, J. Opt. A 7, 249 (2005).
[CrossRef]

Narayana Rao, D.

Osvay, K.

Parrys, D.

D. Parrys, J-F. Allard, D. Morris, C. Pepin, D. Houde, and A. Cornet, J. Opt. A 7, 249 (2005).
[CrossRef]

Pepin, C.

D. Parrys, J-F. Allard, D. Morris, C. Pepin, D. Houde, and A. Cornet, J. Opt. A 7, 249 (2005).
[CrossRef]

Perrin, H.

P. Sandoz, G. Tribillon, and H. Perrin, J. Mod. Opt. 43, 701 (1996).
[CrossRef]

Sainz, C.

J. Calatroni, C. Sainz, and R. Escalona, J. Opt. A 5, S207 (2003).
[CrossRef]

A. L. Guerrero, C. Sainz, and J. Calatroni, Opt. Commun. 109, 375 (1994).
[CrossRef]

C. Sainz, P. Jourdain, R. Escalona, and J. Calatroni, Opt. Commun. 110, 381 (1994).
[CrossRef]

Sandoz, P.

P. Sandoz, G. Tribillon, and H. Perrin, J. Mod. Opt. 43, 701 (1996).
[CrossRef]

Schmit, J.

Szipocs, R.

Thyagarajan, K.

A. Ghatak and K. Thyagarajan, Introduction to Fiber Optics, 1st ed. (Cambridge U. Press, 1998), pp. 78-83.

Tribillon, G.

P. Sandoz, G. Tribillon, and H. Perrin, J. Mod. Opt. 43, 701 (1996).
[CrossRef]

Walmsley, I. A.

I. A. Walmsley, L. Waxer, and C. Dorrer, Rev. Sci. Instrum. 72, 1 (2001).
[CrossRef]

M. Beck and I. A. Walmsley, Opt. Lett. 15, 492 (1990).
[CrossRef] [PubMed]

Waxer, L.

I. A. Walmsley, L. Waxer, and C. Dorrer, Rev. Sci. Instrum. 72, 1 (2001).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. B (1)

W. H. Knox, Appl. Phys. B 58, 225 (1994).
[CrossRef]

C. R. Acad. Sci. Paris (1)

C. Doerrer and M. Joffre, C. R. Acad. Sci. Paris 4, 1415 (2001).

J. Mod. Opt. (1)

P. Sandoz, G. Tribillon, and H. Perrin, J. Mod. Opt. 43, 701 (1996).
[CrossRef]

J. Opt. A (2)

D. Parrys, J-F. Allard, D. Morris, C. Pepin, D. Houde, and A. Cornet, J. Opt. A 7, 249 (2005).
[CrossRef]

J. Calatroni, C. Sainz, and R. Escalona, J. Opt. A 5, S207 (2003).
[CrossRef]

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

Opt. Commun. (3)

A. L. Guerrero, C. Sainz, and J. Calatroni, Opt. Commun. 109, 375 (1994).
[CrossRef]

P. Hlubina, Opt. Commun. 193, 1 (2001).
[CrossRef]

C. Sainz, P. Jourdain, R. Escalona, and J. Calatroni, Opt. Commun. 110, 381 (1994).
[CrossRef]

Opt. Eng. (1)

S. K. Debnath and M. P. Kothiyal, Opt. Eng. 44, 013606 (2005).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Rev. Sci. Instrum. (1)

I. A. Walmsley, L. Waxer, and C. Dorrer, Rev. Sci. Instrum. 72, 1 (2001).
[CrossRef]

Other (1)

A. Ghatak and K. Thyagarajan, Introduction to Fiber Optics, 1st ed. (Cambridge U. Press, 1998), pp. 78-83.

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Figures (4)

Fig. 1
Fig. 1

Schematic of the experimental setup. WLS, white-light source; BS, beam splitter; M1, M2, mirrors; SS, silica sample; PZT, piezoelectric transducer; Sp, spectrometer.

Fig. 2
Fig. 2

(a) Spectral interferogram with silica sample in one of the interferometer arms. (b) Phase map corresponding to the interferogram shown in (a), calculated using the eight-step algorithm.

Fig. 3
Fig. 3

Phase versus wavenumber for different σ = σ 0 .

Fig. 4
Fig. 4

Plot of d 2 n d λ 0 2 versus λ 0 for silica glass slide. Open circle 엯, eight-step, phase-shifting algorithm; asterisks, five-step algorithm; curve, results calculated using the Sellmeier dispersion relation.

Equations (4)

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

I ( σ ) = I 0 ( σ ) [ 1 + V cos ϕ ( σ ) ] ,
ϕ ( σ ) = 4 π 2 L k c 2 ( σ σ 0 ) 2 = A σ 2 + B σ + C ,
k = λ 0 3 2 π c 2 d 2 n d λ 0 2 ,
tan ϕ = I 1 5 I 2 + 11 I 3 + 15 I 4 15 I 5 11 I 6 + 5 I 7 + I 8 I 1 5 I 2 11 I 3 + 15 I 4 + 15 I 5 11 I 6 5 I 7 + I 8 .

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