Abstract

A recently reported interferometric technique using a femtosecond optical frequency comb is modified to observe the destructive interference between two pairs of pulse trains with different relative delays. Experimental observation of the destructive interference shows that the present technique may offer a significantly different possibility to reduce the unnecessary reflections. This technique can be applied not only to surface profilometry and tomography but also to optical superresolution metrology.

© 2009 Optical Society of America

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  1. Y. Zhang, M. Sato, and N. Tanno, Opt. Commun. 187, 65 (2001).
    [CrossRef]
  2. C. D. Russell, T. J. Bullough, and C. D. Sudworth, Opt. Commun. 260, 355 (2006).
    [CrossRef]
  3. M. D. Levenson, Opt. Photonics News 17, 30 (2006).
    [CrossRef]
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    [PubMed]
  5. L. Xu, C. Spielmann, A. Poppe, T. Brabec, F. Krausz, and T. W. Hansch, Opt. Lett. 21, 2008 (1996).
    [CrossRef] [PubMed]
  6. M. E. Fermann, A. Galvanauskas, and G. Sucha, Ultrafast Lasers: Technology and Applications, Optical Engineering Vol. 80 (Marcel Dekker, 2003), pp. 38-39.
  7. W. Boutu, S. Haessler, H. Merdji, P. Breger, G. Waters, M. Stankiewicz, L. J. Frasinski, R. Taieb, J. Caillat, A. Maquet, P. Monchicourt, B. Carre, and P. Salieres, Nat. Phys. 4, 545 (2008).
    [CrossRef]
  8. D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, Opt. Express 17, 7011 (2009).
    [CrossRef] [PubMed]
  9. D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, Jpn. J. Appl. Phys. 48, 070211 (2009).
    [CrossRef]

2009 (2)

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, Jpn. J. Appl. Phys. 48, 070211 (2009).
[CrossRef]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, Opt. Express 17, 7011 (2009).
[CrossRef] [PubMed]

2008 (1)

W. Boutu, S. Haessler, H. Merdji, P. Breger, G. Waters, M. Stankiewicz, L. J. Frasinski, R. Taieb, J. Caillat, A. Maquet, P. Monchicourt, B. Carre, and P. Salieres, Nat. Phys. 4, 545 (2008).
[CrossRef]

2006 (2)

C. D. Russell, T. J. Bullough, and C. D. Sudworth, Opt. Commun. 260, 355 (2006).
[CrossRef]

M. D. Levenson, Opt. Photonics News 17, 30 (2006).
[CrossRef]

2004 (1)

S. Jay and R. C. Alan, in Conference on Lasers and Electro-Optics/International Quantum Electronics Conference and Photonic Applications Systems Technologies, Technical Digest (CD) (Optical Society of America, 2004), paper CTuB5.
[PubMed]

2003 (1)

M. E. Fermann, A. Galvanauskas, and G. Sucha, Ultrafast Lasers: Technology and Applications, Optical Engineering Vol. 80 (Marcel Dekker, 2003), pp. 38-39.

2001 (1)

Y. Zhang, M. Sato, and N. Tanno, Opt. Commun. 187, 65 (2001).
[CrossRef]

1996 (1)

Alan, R. C.

S. Jay and R. C. Alan, in Conference on Lasers and Electro-Optics/International Quantum Electronics Conference and Photonic Applications Systems Technologies, Technical Digest (CD) (Optical Society of America, 2004), paper CTuB5.
[PubMed]

Boutu, W.

W. Boutu, S. Haessler, H. Merdji, P. Breger, G. Waters, M. Stankiewicz, L. J. Frasinski, R. Taieb, J. Caillat, A. Maquet, P. Monchicourt, B. Carre, and P. Salieres, Nat. Phys. 4, 545 (2008).
[CrossRef]

Brabec, T.

Breger, P.

W. Boutu, S. Haessler, H. Merdji, P. Breger, G. Waters, M. Stankiewicz, L. J. Frasinski, R. Taieb, J. Caillat, A. Maquet, P. Monchicourt, B. Carre, and P. Salieres, Nat. Phys. 4, 545 (2008).
[CrossRef]

Bullough, T. J.

C. D. Russell, T. J. Bullough, and C. D. Sudworth, Opt. Commun. 260, 355 (2006).
[CrossRef]

Caillat, J.

W. Boutu, S. Haessler, H. Merdji, P. Breger, G. Waters, M. Stankiewicz, L. J. Frasinski, R. Taieb, J. Caillat, A. Maquet, P. Monchicourt, B. Carre, and P. Salieres, Nat. Phys. 4, 545 (2008).
[CrossRef]

Carre, B.

W. Boutu, S. Haessler, H. Merdji, P. Breger, G. Waters, M. Stankiewicz, L. J. Frasinski, R. Taieb, J. Caillat, A. Maquet, P. Monchicourt, B. Carre, and P. Salieres, Nat. Phys. 4, 545 (2008).
[CrossRef]

Fermann, M. E.

M. E. Fermann, A. Galvanauskas, and G. Sucha, Ultrafast Lasers: Technology and Applications, Optical Engineering Vol. 80 (Marcel Dekker, 2003), pp. 38-39.

Frasinski, L. J.

W. Boutu, S. Haessler, H. Merdji, P. Breger, G. Waters, M. Stankiewicz, L. J. Frasinski, R. Taieb, J. Caillat, A. Maquet, P. Monchicourt, B. Carre, and P. Salieres, Nat. Phys. 4, 545 (2008).
[CrossRef]

Galvanauskas, A.

M. E. Fermann, A. Galvanauskas, and G. Sucha, Ultrafast Lasers: Technology and Applications, Optical Engineering Vol. 80 (Marcel Dekker, 2003), pp. 38-39.

Haessler, S.

W. Boutu, S. Haessler, H. Merdji, P. Breger, G. Waters, M. Stankiewicz, L. J. Frasinski, R. Taieb, J. Caillat, A. Maquet, P. Monchicourt, B. Carre, and P. Salieres, Nat. Phys. 4, 545 (2008).
[CrossRef]

Hansch, T. W.

Jay, S.

S. Jay and R. C. Alan, in Conference on Lasers and Electro-Optics/International Quantum Electronics Conference and Photonic Applications Systems Technologies, Technical Digest (CD) (Optical Society of America, 2004), paper CTuB5.
[PubMed]

Krausz, F.

Levenson, M. D.

M. D. Levenson, Opt. Photonics News 17, 30 (2006).
[CrossRef]

Maquet, A.

W. Boutu, S. Haessler, H. Merdji, P. Breger, G. Waters, M. Stankiewicz, L. J. Frasinski, R. Taieb, J. Caillat, A. Maquet, P. Monchicourt, B. Carre, and P. Salieres, Nat. Phys. 4, 545 (2008).
[CrossRef]

Matsumoto, H.

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, Opt. Express 17, 7011 (2009).
[CrossRef] [PubMed]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, Jpn. J. Appl. Phys. 48, 070211 (2009).
[CrossRef]

Merdji, H.

W. Boutu, S. Haessler, H. Merdji, P. Breger, G. Waters, M. Stankiewicz, L. J. Frasinski, R. Taieb, J. Caillat, A. Maquet, P. Monchicourt, B. Carre, and P. Salieres, Nat. Phys. 4, 545 (2008).
[CrossRef]

Monchicourt, P.

W. Boutu, S. Haessler, H. Merdji, P. Breger, G. Waters, M. Stankiewicz, L. J. Frasinski, R. Taieb, J. Caillat, A. Maquet, P. Monchicourt, B. Carre, and P. Salieres, Nat. Phys. 4, 545 (2008).
[CrossRef]

Poppe, A.

Russell, C. D.

C. D. Russell, T. J. Bullough, and C. D. Sudworth, Opt. Commun. 260, 355 (2006).
[CrossRef]

Salieres, P.

W. Boutu, S. Haessler, H. Merdji, P. Breger, G. Waters, M. Stankiewicz, L. J. Frasinski, R. Taieb, J. Caillat, A. Maquet, P. Monchicourt, B. Carre, and P. Salieres, Nat. Phys. 4, 545 (2008).
[CrossRef]

Sato, M.

Y. Zhang, M. Sato, and N. Tanno, Opt. Commun. 187, 65 (2001).
[CrossRef]

Spielmann, C.

Stankiewicz, M.

W. Boutu, S. Haessler, H. Merdji, P. Breger, G. Waters, M. Stankiewicz, L. J. Frasinski, R. Taieb, J. Caillat, A. Maquet, P. Monchicourt, B. Carre, and P. Salieres, Nat. Phys. 4, 545 (2008).
[CrossRef]

Sucha, G.

M. E. Fermann, A. Galvanauskas, and G. Sucha, Ultrafast Lasers: Technology and Applications, Optical Engineering Vol. 80 (Marcel Dekker, 2003), pp. 38-39.

Sudworth, C. D.

C. D. Russell, T. J. Bullough, and C. D. Sudworth, Opt. Commun. 260, 355 (2006).
[CrossRef]

Taieb, R.

W. Boutu, S. Haessler, H. Merdji, P. Breger, G. Waters, M. Stankiewicz, L. J. Frasinski, R. Taieb, J. Caillat, A. Maquet, P. Monchicourt, B. Carre, and P. Salieres, Nat. Phys. 4, 545 (2008).
[CrossRef]

Takahashi, S.

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, Opt. Express 17, 7011 (2009).
[CrossRef] [PubMed]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, Jpn. J. Appl. Phys. 48, 070211 (2009).
[CrossRef]

Takamasu, K.

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, Jpn. J. Appl. Phys. 48, 070211 (2009).
[CrossRef]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, Opt. Express 17, 7011 (2009).
[CrossRef] [PubMed]

Tanno, N.

Y. Zhang, M. Sato, and N. Tanno, Opt. Commun. 187, 65 (2001).
[CrossRef]

Waters, G.

W. Boutu, S. Haessler, H. Merdji, P. Breger, G. Waters, M. Stankiewicz, L. J. Frasinski, R. Taieb, J. Caillat, A. Maquet, P. Monchicourt, B. Carre, and P. Salieres, Nat. Phys. 4, 545 (2008).
[CrossRef]

Wei, D.

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, Jpn. J. Appl. Phys. 48, 070211 (2009).
[CrossRef]

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, Opt. Express 17, 7011 (2009).
[CrossRef] [PubMed]

Xu, L.

Zhang, Y.

Y. Zhang, M. Sato, and N. Tanno, Opt. Commun. 187, 65 (2001).
[CrossRef]

Jpn. J. Appl. Phys. (1)

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, Jpn. J. Appl. Phys. 48, 070211 (2009).
[CrossRef]

Nat. Phys. (1)

W. Boutu, S. Haessler, H. Merdji, P. Breger, G. Waters, M. Stankiewicz, L. J. Frasinski, R. Taieb, J. Caillat, A. Maquet, P. Monchicourt, B. Carre, and P. Salieres, Nat. Phys. 4, 545 (2008).
[CrossRef]

Opt. Commun. (2)

Y. Zhang, M. Sato, and N. Tanno, Opt. Commun. 187, 65 (2001).
[CrossRef]

C. D. Russell, T. J. Bullough, and C. D. Sudworth, Opt. Commun. 260, 355 (2006).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Opt. Photonics News (1)

M. D. Levenson, Opt. Photonics News 17, 30 (2006).
[CrossRef]

Other (2)

S. Jay and R. C. Alan, in Conference on Lasers and Electro-Optics/International Quantum Electronics Conference and Photonic Applications Systems Technologies, Technical Digest (CD) (Optical Society of America, 2004), paper CTuB5.
[PubMed]

M. E. Fermann, A. Galvanauskas, and G. Sucha, Ultrafast Lasers: Technology and Applications, Optical Engineering Vol. 80 (Marcel Dekker, 2003), pp. 38-39.

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Figures (4)

Fig. 1
Fig. 1

Destructive interference between two pairs of pulse trains reflected from HM 1 and M 2 formed by a modified Michelson interferometer. (a) Simplified optical layout for interferometry. (b) Destructive interference between two pulse trains [integer h = 1 , Δ φ ce = 180 ° , | E train 2 _ HM 1 ( t ) | = | E train 2 _ M 2 ( t ) | ].

Fig. 2
Fig. 2

Optical layout: FOFC, femtosecond optical frequency comb; C, collimator; L, lens; BS, beam splitter; PD, photodetector; SM, ultrasonic stepping motor; HM 1 2 , half mirrors; M 1 2 , mirrors.

Fig. 3
Fig. 3

Interference fringes with the different displacements c Δ P 1 .

Fig. 4
Fig. 4

Destructive interference between two pairs of pulse trains from the front surface of HM 2 and the surface of M 2 .

Equations (6)

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P ( f ) A ( f f c ) × comb ( f rep ) ,
comb ( f rep ) m = + δ ( f m f rep ) ,
γ ( τ ) F 1 [ A ( f f c ) ] comb ( T R ) ,
comb ( T R ) m = + δ ( τ m T R ) .
I ( t ) | γ ( τ ) | cos [ mod ( h Δ φ ce , 2 π ) ] .
E train ( t ) = E train 1 ( t ) + E train 2 _ HM 1 ( t ) + E train 2 _ M 2 ( t ) ,

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