Accurate quantitative phase digital holographic microscopy with single- and multiple-wavelength telecentric and nontelecentric configurations

Thanh Nguyen; George Nehmetallah; Christopher Raub; Scott Mathews; Rola Aylo

doi:10.1364/AO.55.005666

Applied Optics
Vol. 55,
Issue 21,
pp. 5666-5683
(2016)
•https://doi.org/10.1364/AO.55.005666

Accurate quantitative phase digital holographic microscopy with single- and multiple-wavelength telecentric and nontelecentric configurations

Thanh Nguyen, George Nehmetallah, Christopher Raub, Scott Mathews, and Rola Aylo

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Thanh Nguyen, George Nehmetallah, Christopher Raub, Scott Mathews, and Rola Aylo, "Accurate quantitative phase digital holographic microscopy with single- and multiple-wavelength telecentric and nontelecentric configurations," Appl. Opt. 55, 5666-5683 (2016)

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- Holography
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About this Article
History
- Original Manuscript: March 29, 2016
- Manuscript Accepted: June 13, 2016
- Published: July 18, 2016
Virtual Issues
Virtual Journal for Biomedical Optics Vol. 11, Iss. 8

Abstract

In this work, we investigate, both theoretically and experimentally, single-wavelength and multiwavelength digital holographic microscopy (DHM) using telecentric and nontelecentric configurations in transmission and reflection modes. A single-wavelength telecentric imaging system in DHM was originally proposed to circumvent the residual parabolic phase distortion due to the microscope objective (MO) in standard nontelecentric DHM configurations. However, telecentric configurations cannot compensate for higher order phase aberrations. As an extension to the telecentric and nontelecentric arrangements in single-wavelength DHM (SW-DHM), we propose multiple-wavelength telecentric DHM (MW-TDHM) in reflection and transmission modes. The advantages of MW-TDHM configurations are to extend the vertical measurement range without phase ambiguity and optically remove the parabolic phase distortion caused by the MO in traditional MW-DHM. These configurations eliminate the need for a second reference hologram to subtract the two-phase maps and make digital automatic aberration compensation easier to apply compared to nontelecentric configurations. We also discuss a reconstruction algorithm that eliminates the zero-order and virtual images using spatial filtering and another algorithm that minimizes the intensity of fluctuations using apodization. In addition, we employ two polynomial models using 2D surface fitting to compensate digitally for chromatic aberration (in the multiwavelength case) and for higher order phase aberrations. A custom-developed user-friendly graphical user interface is employed to automate the reconstruction processes for all configurations. Finally, TDHM is used to visualize cells from the highly invasive MDA-MB-231 cultured breast cancer cells.

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Polynomial Coefficients	Cartesian Form- $Z_{k}$	Type
$a_{0}$	1	Piston
$a_{1}$	$\sqrt{4} x$	Tilt x
$a_{2}$	$\sqrt{4} y$	Tilt y
$a_{3}$	$\sqrt{3} (2 x^{2} + 2 y^{2} - 1)$	Power
$a_{4}$	$\sqrt{6} (2 x y)$	Astig y
$a_{5}$	$\sqrt{6} (x^{2} - y^{2})$	Astig y
$a_{6}$	$\sqrt{8} (3 x^{2} y + 3 y^{2} - 2 y)$	Coma y
$a_{7}$	$\sqrt{8} (3 x^{3} + 3 x y^{2} - 2 x)$	Coma x
$a_{8}$	$\sqrt{8} (3 x^{3} y - y^{3})$	Trefoil y
$a_{9}$	$\sqrt{8} (x^{3} - 3 x y^{2})$	Trefoil x
$a_{10}$	$\sqrt{5} (6 x^{4} + 12 x^{2} y^{2} + 6 y^{4} - 6 x^{2} - 6 y^{2} + 1)$	Pri Spherical
$a_{11}$	$\sqrt{10} (4 x^{4} - 3 x^{2} + 3 y^{2} - 4 y^{4})$	2^ary Astig x
$a_{12}$	$\sqrt{10} (8 x^{3} y - 8 x y^{3} - 6 x y)$	2^ary Astig y
$a_{13}$	$\sqrt{10} (x^{4} - 6 x^{2} y^{2} + y^{4})$	Tetrafoil x
$a_{14}$	$\sqrt{10} (4 x^{3} y - 4 x y^{3})$	Tetrafoil y
$a_{15}$	$\sqrt{12} (10 x^{5} + 20 x^{3} y^{2} + 10 x y^{4} + 12 x^{3} - 12 x y^{2} + 3 x)$	2^ary Comma x
$a_{16}$	$\sqrt{12} (10 x^{4} y + 20 x^{2} y^{3} + 10 y^{5} + 12 x^{2} y - 12 y^{3} + 3 y)$	2^ary Comma y
$a_{17}$	$\sqrt{12} (5 x^{5} - 10 x^{3} y^{2} - 15 x y^{4} - 4 x^{3} + 12 x y^{2})$	2^ary Tetrafoil x
$a_{18}$	$\sqrt{12} (15 x^{4} y + 10 x^{2} y^{3} - 5 y^{5} - 12 x^{2} y + 4 y^{3})$	2^ary Tetrafoil y
$a_{19}$	$\sqrt{12} (x^{5} - 10 x^{3} y^{2} + 5 x y^{4})$	Pentafoil x
$a_{20}$	$\sqrt{12} (5 x^{4} y - 10 x^{2} y^{3} + y^{5})$	Pentafoil y
$a_{21}$	$\sqrt{7} (20 x^{6} + 60 x^{4} y^{2} + 60 x^{2} y^{4} + 20 y^{6} - 30 x^{4} - 60 x^{2} y^{2} - 30 y^{4} + 12 x^{2} + 12 y^{2} - 1)$	2^ary Spherical
$a_{22}$	$\sqrt{14} (30 x^{5} y + 60 x^{3} y^{3} + 30 x y^{5} - 40 x^{3} y - 40 x y^{3} + 12 x y)$	3^ary Astig x
$a_{23}$	$\sqrt{14} (15 x^{6} + 15 x^{4} y^{2} - 20 x^{4} + 6 x^{2} - 15 x^{2} y^{4} - 15 y^{6} + 20 y^{4} - 6 y^{2})$	3^ary Astig y

Abstract

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Equations (32)

Applied Optics