Abstract

We demonstrate the use of shallow diffraction gratings for quadrature phase interferometry. A single shallow diffraction grating-based Michelson interferometer yields only trivial (0o or 180o ) phase shift between different output ports. In comparison, a combination of two parallel shallow diffraction gratings can be useful to achieve desired phase shifts (e.g., 90 o for quadrature phase interferometry). We show that the phase at different output ports of a grating-pair based interferometer can be adjusted by shearing the two gratings with respect to each other. Two harmonically-related diffraction gratings are used to demonstrate phase shift control at the output ports of a modified Michelson interferometer. Our experimental data is in good agreement with theory.

© 2006 Optical Society of America

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    [CrossRef]
  2. P. J. McMahon, E. D. Barone-Nugent, B. E. Allman, and K. A. Nugent, "Quantitative phase-amplitude microscopy II: differential interference contrast imaging for biological TEM," J. Microsc.-Oxford 206, 204-208 (2002).
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    [CrossRef]
  4. F. Zernike, "Phase contrast, a new method for the microscopic observation of transparent objects Part II," Physica 9, 974-986 (1942).
    [CrossRef]
  5. G. Nomarski, and A. R. Weill, "Application à la métallographie des méthodes interférentielles à deux ondes polarisées," Rev. Metall. 2, 121-128 (1955).
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  7. P. Hariharan, and M. Roy, "Achromatic phase-shifting for two-wavelength phase-stepping interferometry," Opt. Comm. 126, 220-222 (1996).
  8. C. J. Cogswell, N. I. Smith, K. G. Larkin, and P. Hariharan, "Quantitative DIC microscopy using a geometric phase shifter," Proc. SPIE 2984, 72-81 (1997).
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    [CrossRef]
  15. T. Ikeda, G. Popescu, R. R. Dasari, and M. S. Feld, "Hilbert phase microscopy for investigating fast dynamics in transparent systems," Opt. Lett. 30, 1165-1167 (2005).
    [CrossRef]
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  22. S. R. Thurber, A. M. Brodsky, and L. W. Burgess, "Characterization of random media by low-coherence interferometry," Appl. Spectrosc. 54, 1506-1514 (2000).
    [CrossRef]
  23. D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, "Optical coherence tomography," Science 254, 1178-1181 (1991).
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2006 (2)

H. Ishiwata, M. Itoh, and T. Yatagai, "A new method of three-dimensional measurement by differential interference contrast microscope," Opt. Comm. 260, 117-126 (2006).

Z. Yaqoob, J. Fingler, X. Heng, and C. H. Yang, "Homodyne en face optical coherence tomography," Opt. Lett. 31, 1815-1817 (2006).
[CrossRef]

2005 (2)

T. Ikeda, G. Popescu, R. R. Dasari, and M. S. Feld, "Hilbert phase microscopy for investigating fast dynamics in transparent systems," Opt. Lett. 30, 1165-1167 (2005).
[CrossRef]

G. Popescu, T. Ikeda, C. A. Best, K. Badizadegan, R. R. Dasari, and M. S. Feld, "Erythrocyte structure and dynamics quantified by Hilbert phase microscopy," J. Biomed. Opt. 10, (2005).
[CrossRef]

2004 (1)

M. R. Arnison, K. G. Larkin, C. J. R. Sheppard, N. I. Smith, and C. J. Cogswell, "Linear phase imaging using differential interference contrast microscopy," J. of Microsc.-Oxford 214, 7-12 (2004).

2003 (2)

2002 (1)

P. J. McMahon, E. D. Barone-Nugent, B. E. Allman, and K. A. Nugent, "Quantitative phase-amplitude microscopy II: differential interference contrast imaging for biological TEM," J. Microsc.-Oxford 206, 204-208 (2002).

2000 (2)

M. R. Arnison, C. J. Cogswell, N. I. Smith, P. W. Fekete, and K. G. Larkin, "Using the Hilbert transform for 3D visualization of differential interference contrast microscope images," J. of Microsc.-Oxford 199, 79-84 (2000).

S. R. Thurber, A. M. Brodsky, and L. W. Burgess, "Characterization of random media by low-coherence interferometry," Appl. Spectrosc. 54, 1506-1514 (2000).
[CrossRef]

1999 (1)

1998 (2)

1997 (2)

C. J. Cogswell, N. I. Smith, K. G. Larkin, and P. Hariharan, "Quantitative DIC microscopy using a geometric phase shifter," Proc. SPIE 2984, 72-81 (1997).

D. S. Marx, and D. Psaltis, "Polarization quadrature measurement of subwavelength diffracting structures," Appl. Opt. 36, 6434-6440 (1997).

1996 (1)

P. Hariharan, and M. Roy, "Achromatic phase-shifting for two-wavelength phase-stepping interferometry," Opt. Comm. 126, 220-222 (1996).

1994 (1)

1991 (3)

J. C. Shaw, "Metrology using differential phase-contrast microscopy," Microelectron. Eng. 13, 527-530 (1991).
[CrossRef]

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, "Optical coherence tomography," Science 254, 1178-1181 (1991).
[CrossRef]

B. L. Danielson, and C. Y. Boisrobert, "Absolute optical ranging using low coherence interferometry," Appl. Opt. 30, 2975-2979 (1991).

1990 (1)

W. Shimada, T. Sato, and T. Yatagai, "Optical surface microtopography using phase-shifting Nomarski microscope," Proc. SPIE 1332, 525-529 (1990).

1955 (1)

G. Nomarski, and A. R. Weill, "Application à la métallographie des méthodes interférentielles à deux ondes polarisées," Rev. Metall. 2, 121-128 (1955).

1942 (2)

F. Zernike, "Phase contrast, a new method for the microsopic observation of transparent objects," Physica 9, 686-698 (1942).
[CrossRef]

F. Zernike, "Phase contrast, a new method for the microscopic observation of transparent objects Part II," Physica 9, 974-986 (1942).
[CrossRef]

Allman, B. E.

P. J. McMahon, E. D. Barone-Nugent, B. E. Allman, and K. A. Nugent, "Quantitative phase-amplitude microscopy II: differential interference contrast imaging for biological TEM," J. Microsc.-Oxford 206, 204-208 (2002).

Arnison, M. R.

M. R. Arnison, K. G. Larkin, C. J. R. Sheppard, N. I. Smith, and C. J. Cogswell, "Linear phase imaging using differential interference contrast microscopy," J. of Microsc.-Oxford 214, 7-12 (2004).

M. R. Arnison, C. J. Cogswell, N. I. Smith, P. W. Fekete, and K. G. Larkin, "Using the Hilbert transform for 3D visualization of differential interference contrast microscope images," J. of Microsc.-Oxford 199, 79-84 (2000).

Badizadegan, K.

G. Popescu, T. Ikeda, C. A. Best, K. Badizadegan, R. R. Dasari, and M. S. Feld, "Erythrocyte structure and dynamics quantified by Hilbert phase microscopy," J. Biomed. Opt. 10, (2005).
[CrossRef]

Barone-Nugent, E. D.

P. J. McMahon, E. D. Barone-Nugent, B. E. Allman, and K. A. Nugent, "Quantitative phase-amplitude microscopy II: differential interference contrast imaging for biological TEM," J. Microsc.-Oxford 206, 204-208 (2002).

Best, C. A.

G. Popescu, T. Ikeda, C. A. Best, K. Badizadegan, R. R. Dasari, and M. S. Feld, "Erythrocyte structure and dynamics quantified by Hilbert phase microscopy," J. Biomed. Opt. 10, (2005).
[CrossRef]

Bevilacqua, F.

Boisrobert, C. Y.

Brodsky, A. M.

Burgess, L. W.

Cescato, L.

Chang, W.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, "Optical coherence tomography," Science 254, 1178-1181 (1991).
[CrossRef]

Choma, M. A.

Cogswell, C. J.

M. R. Arnison, K. G. Larkin, C. J. R. Sheppard, N. I. Smith, and C. J. Cogswell, "Linear phase imaging using differential interference contrast microscopy," J. of Microsc.-Oxford 214, 7-12 (2004).

M. R. Arnison, C. J. Cogswell, N. I. Smith, P. W. Fekete, and K. G. Larkin, "Using the Hilbert transform for 3D visualization of differential interference contrast microscope images," J. of Microsc.-Oxford 199, 79-84 (2000).

C. J. Cogswell, N. I. Smith, K. G. Larkin, and P. Hariharan, "Quantitative DIC microscopy using a geometric phase shifter," Proc. SPIE 2984, 72-81 (1997).

Cordeiro, C. M. B.

Cuche, E.

Danielson, B. L.

Dasari, R. R.

G. Popescu, T. Ikeda, C. A. Best, K. Badizadegan, R. R. Dasari, and M. S. Feld, "Erythrocyte structure and dynamics quantified by Hilbert phase microscopy," J. Biomed. Opt. 10, (2005).
[CrossRef]

T. Ikeda, G. Popescu, R. R. Dasari, and M. S. Feld, "Hilbert phase microscopy for investigating fast dynamics in transparent systems," Opt. Lett. 30, 1165-1167 (2005).
[CrossRef]

Depeursinge, C.

Devaney, A. J.

DiMarzio, C. A.

Fekete, P. W.

M. R. Arnison, C. J. Cogswell, N. I. Smith, P. W. Fekete, and K. G. Larkin, "Using the Hilbert transform for 3D visualization of differential interference contrast microscope images," J. of Microsc.-Oxford 199, 79-84 (2000).

Feld, M. S.

T. Ikeda, G. Popescu, R. R. Dasari, and M. S. Feld, "Hilbert phase microscopy for investigating fast dynamics in transparent systems," Opt. Lett. 30, 1165-1167 (2005).
[CrossRef]

G. Popescu, T. Ikeda, C. A. Best, K. Badizadegan, R. R. Dasari, and M. S. Feld, "Erythrocyte structure and dynamics quantified by Hilbert phase microscopy," J. Biomed. Opt. 10, (2005).
[CrossRef]

Fingler, J.

Flotte, T.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, "Optical coherence tomography," Science 254, 1178-1181 (1991).
[CrossRef]

Freschi, A. A.

Fujimoto, J. G.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, "Optical coherence tomography," Science 254, 1178-1181 (1991).
[CrossRef]

Gaudette, T. J.

Gregory, K.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, "Optical coherence tomography," Science 254, 1178-1181 (1991).
[CrossRef]

Hariharan, P.

C. J. Cogswell, N. I. Smith, K. G. Larkin, and P. Hariharan, "Quantitative DIC microscopy using a geometric phase shifter," Proc. SPIE 2984, 72-81 (1997).

P. Hariharan, and M. Roy, "Achromatic phase-shifting for two-wavelength phase-stepping interferometry," Opt. Comm. 126, 220-222 (1996).

Hee, M. R.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, "Optical coherence tomography," Science 254, 1178-1181 (1991).
[CrossRef]

Heng, X.

Hogenboom, D. O.

Huang, D.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, "Optical coherence tomography," Science 254, 1178-1181 (1991).
[CrossRef]

Ikeda, T.

T. Ikeda, G. Popescu, R. R. Dasari, and M. S. Feld, "Hilbert phase microscopy for investigating fast dynamics in transparent systems," Opt. Lett. 30, 1165-1167 (2005).
[CrossRef]

G. Popescu, T. Ikeda, C. A. Best, K. Badizadegan, R. R. Dasari, and M. S. Feld, "Erythrocyte structure and dynamics quantified by Hilbert phase microscopy," J. Biomed. Opt. 10, (2005).
[CrossRef]

Ishiwata, H.

H. Ishiwata, M. Itoh, and T. Yatagai, "A new method of three-dimensional measurement by differential interference contrast microscope," Opt. Comm. 260, 117-126 (2006).

Itoh, M.

H. Ishiwata, M. Itoh, and T. Yatagai, "A new method of three-dimensional measurement by differential interference contrast microscope," Opt. Comm. 260, 117-126 (2006).

Juptner, W.

Larkin, K. G.

M. R. Arnison, K. G. Larkin, C. J. R. Sheppard, N. I. Smith, and C. J. Cogswell, "Linear phase imaging using differential interference contrast microscopy," J. of Microsc.-Oxford 214, 7-12 (2004).

M. R. Arnison, C. J. Cogswell, N. I. Smith, P. W. Fekete, and K. G. Larkin, "Using the Hilbert transform for 3D visualization of differential interference contrast microscope images," J. of Microsc.-Oxford 199, 79-84 (2000).

C. J. Cogswell, N. I. Smith, K. G. Larkin, and P. Hariharan, "Quantitative DIC microscopy using a geometric phase shifter," Proc. SPIE 2984, 72-81 (1997).

Li, L. F.

Lin, C. P.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, "Optical coherence tomography," Science 254, 1178-1181 (1991).
[CrossRef]

Lindberg, S. C.

Marx, D. S.

McMahon, P. J.

P. J. McMahon, E. D. Barone-Nugent, B. E. Allman, and K. A. Nugent, "Quantitative phase-amplitude microscopy II: differential interference contrast imaging for biological TEM," J. Microsc.-Oxford 206, 204-208 (2002).

Nomarski, G.

G. Nomarski, and A. R. Weill, "Application à la métallographie des méthodes interférentielles à deux ondes polarisées," Rev. Metall. 2, 121-128 (1955).

Nugent, K. A.

P. J. McMahon, E. D. Barone-Nugent, B. E. Allman, and K. A. Nugent, "Quantitative phase-amplitude microscopy II: differential interference contrast imaging for biological TEM," J. Microsc.-Oxford 206, 204-208 (2002).

Popescu, G.

G. Popescu, T. Ikeda, C. A. Best, K. Badizadegan, R. R. Dasari, and M. S. Feld, "Erythrocyte structure and dynamics quantified by Hilbert phase microscopy," J. Biomed. Opt. 10, (2005).
[CrossRef]

T. Ikeda, G. Popescu, R. R. Dasari, and M. S. Feld, "Hilbert phase microscopy for investigating fast dynamics in transparent systems," Opt. Lett. 30, 1165-1167 (2005).
[CrossRef]

Psaltis, D.

Puliafito, C. A.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, "Optical coherence tomography," Science 254, 1178-1181 (1991).
[CrossRef]

Roy, M.

P. Hariharan, and M. Roy, "Achromatic phase-shifting for two-wavelength phase-stepping interferometry," Opt. Comm. 126, 220-222 (1996).

Sato, T.

W. Shimada, T. Sato, and T. Yatagai, "Optical surface microtopography using phase-shifting Nomarski microscope," Proc. SPIE 1332, 525-529 (1990).

Schnars, U.

Schuman, J. S.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, "Optical coherence tomography," Science 254, 1178-1181 (1991).
[CrossRef]

Shaw, J. C.

J. C. Shaw, "Metrology using differential phase-contrast microscopy," Microelectron. Eng. 13, 527-530 (1991).
[CrossRef]

Sheppard, C. J. R.

M. R. Arnison, K. G. Larkin, C. J. R. Sheppard, N. I. Smith, and C. J. Cogswell, "Linear phase imaging using differential interference contrast microscopy," J. of Microsc.-Oxford 214, 7-12 (2004).

Shimada, W.

W. Shimada, T. Sato, and T. Yatagai, "Optical surface microtopography using phase-shifting Nomarski microscope," Proc. SPIE 1332, 525-529 (1990).

Smith, N. I.

M. R. Arnison, K. G. Larkin, C. J. R. Sheppard, N. I. Smith, and C. J. Cogswell, "Linear phase imaging using differential interference contrast microscopy," J. of Microsc.-Oxford 214, 7-12 (2004).

M. R. Arnison, C. J. Cogswell, N. I. Smith, P. W. Fekete, and K. G. Larkin, "Using the Hilbert transform for 3D visualization of differential interference contrast microscope images," J. of Microsc.-Oxford 199, 79-84 (2000).

C. J. Cogswell, N. I. Smith, K. G. Larkin, and P. Hariharan, "Quantitative DIC microscopy using a geometric phase shifter," Proc. SPIE 2984, 72-81 (1997).

Stinson, W. G.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, "Optical coherence tomography," Science 254, 1178-1181 (1991).
[CrossRef]

Swanson, E. A.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, "Optical coherence tomography," Science 254, 1178-1181 (1991).
[CrossRef]

Thurber, S. R.

Tuchin, V. V.

V. V. Tuchin, "Coherence-domain methods in tissue and cell optics," Laser Phys. 8, 807-849 (1998).

Weill, A. R.

G. Nomarski, and A. R. Weill, "Application à la métallographie des méthodes interférentielles à deux ondes polarisées," Rev. Metall. 2, 121-128 (1955).

Yang, C. H.

Yaqoob, Z.

Yatagai, T.

H. Ishiwata, M. Itoh, and T. Yatagai, "A new method of three-dimensional measurement by differential interference contrast microscope," Opt. Comm. 260, 117-126 (2006).

W. Shimada, T. Sato, and T. Yatagai, "Optical surface microtopography using phase-shifting Nomarski microscope," Proc. SPIE 1332, 525-529 (1990).

Zernike, F.

F. Zernike, "Phase contrast, a new method for the microsopic observation of transparent objects," Physica 9, 686-698 (1942).
[CrossRef]

F. Zernike, "Phase contrast, a new method for the microscopic observation of transparent objects Part II," Physica 9, 974-986 (1942).
[CrossRef]

Appl. Opt. (3)

Appl. Spectrosc. (1)

J. Biomed. Opt. (1)

G. Popescu, T. Ikeda, C. A. Best, K. Badizadegan, R. R. Dasari, and M. S. Feld, "Erythrocyte structure and dynamics quantified by Hilbert phase microscopy," J. Biomed. Opt. 10, (2005).
[CrossRef]

Laser Phys. (1)

V. V. Tuchin, "Coherence-domain methods in tissue and cell optics," Laser Phys. 8, 807-849 (1998).

Microelectron. Eng. (1)

J. C. Shaw, "Metrology using differential phase-contrast microscopy," Microelectron. Eng. 13, 527-530 (1991).
[CrossRef]

Opt. Comm. (2)

P. Hariharan, and M. Roy, "Achromatic phase-shifting for two-wavelength phase-stepping interferometry," Opt. Comm. 126, 220-222 (1996).

H. Ishiwata, M. Itoh, and T. Yatagai, "A new method of three-dimensional measurement by differential interference contrast microscope," Opt. Comm. 260, 117-126 (2006).

Opt. Lett. (6)

Oxford (3)

M. R. Arnison, C. J. Cogswell, N. I. Smith, P. W. Fekete, and K. G. Larkin, "Using the Hilbert transform for 3D visualization of differential interference contrast microscope images," J. of Microsc.-Oxford 199, 79-84 (2000).

M. R. Arnison, K. G. Larkin, C. J. R. Sheppard, N. I. Smith, and C. J. Cogswell, "Linear phase imaging using differential interference contrast microscopy," J. of Microsc.-Oxford 214, 7-12 (2004).

P. J. McMahon, E. D. Barone-Nugent, B. E. Allman, and K. A. Nugent, "Quantitative phase-amplitude microscopy II: differential interference contrast imaging for biological TEM," J. Microsc.-Oxford 206, 204-208 (2002).

Physica (2)

F. Zernike, "Phase contrast, a new method for the microsopic observation of transparent objects," Physica 9, 686-698 (1942).
[CrossRef]

F. Zernike, "Phase contrast, a new method for the microscopic observation of transparent objects Part II," Physica 9, 974-986 (1942).
[CrossRef]

Proc. SPIE (2)

C. J. Cogswell, N. I. Smith, K. G. Larkin, and P. Hariharan, "Quantitative DIC microscopy using a geometric phase shifter," Proc. SPIE 2984, 72-81 (1997).

W. Shimada, T. Sato, and T. Yatagai, "Optical surface microtopography using phase-shifting Nomarski microscope," Proc. SPIE 1332, 525-529 (1990).

Rev. Metall. (1)

G. Nomarski, and A. R. Weill, "Application à la métallographie des méthodes interférentielles à deux ondes polarisées," Rev. Metall. 2, 121-128 (1955).

Science (1)

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, "Optical coherence tomography," Science 254, 1178-1181 (1991).
[CrossRef]

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