Calibration of a Shack&#x2013;Hartmann wavefront sensor as an orthographic camera

J. Vargas; L. González-Fernandez; J. Antonio Quiroga; T. Belenguer

doi:10.1364/OL.35.001762

Optics Letters
Vol. 35,
Issue 11,
pp. 1762-1764
(2010)
•https://doi.org/10.1364/OL.35.001762

Calibration of a Shack–Hartmann wavefront sensor as an orthographic camera

J. Vargas, L. González-Fernandez, J. Antonio Quiroga, and T. Belenguer

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
J. Vargas, L. González-Fernandez, J. Antonio Quiroga, and T. Belenguer, "Calibration of a Shack–Hartmann wavefront sensor as an orthographic camera," Opt. Lett. 35, 1762-1764 (2010)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Abstract

We demonstrate a method to calibrate a Shack–Hartmann sensor as an orthographic camera. This calibration method permits us to obtain the distance, the rotation matrix between the microlens array and CCD imaging planes, and the projection matrix, which models the projection of the incoming rays to the CCD imaging plane. The proposed calibration method introduces a very compact matrix notation and allows wavefront reconstruction without an explicit centroid search between the reference and distorted spot diagrams. We show a set of simulations in code V that prove the effectiveness of the proposed method.

Full Article | PDF Article

More Like This

Calibration of a Shack–Hartmann sensor for absolute measurements of wavefronts

Alexander Chernyshov, Uwe Sterr, Fritz Riehle, Jürgen Helmcke, and Johannes Pfund
Appl. Opt. 44(30) 6419-6425 (2005)

Reference-free Shack–Hartmann wavefront sensor

Liping Zhao, Wenjiang Guo, Xiang Li, and I-Ming Chen
Opt. Lett. 36(15) 2752-2754 (2011)

Interferometric Shack–Hartmann wavefront sensor with an array of four-hole apertures

David López and Susana Ríos
Appl. Opt. 49(12) 2334-2338 (2010)

Previous Article Next Article

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (2)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (3)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (6)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

$(ε_{x}, ε_{y}) (°)$		$(α, β, λ) = (0, 0, 0) (°)$	$(α, β, λ) = (0.12, 0.3, 0.5) (°)$
(0, 0)	$H^{1}$	$(\begin{matrix} 100 & 0 & 0 \\ 0 & 100 & 0 \\ 0 & 0 & 1 \end{matrix})$	$(\begin{matrix} 99.996 & 0.8732 & - 1.2450 \\ - 0.8796 & 99.998 & 1.0275 \\ 0 & 0 & 1 \end{matrix})$
(0, 0)	rms (mm)	$1.0 \times 10^{- 18}$	$2.5 \times 10^{- 10}$
(0.23, 0)	$H^{2}$	$(\begin{matrix} 100 & 0 & 0.3849 \\ 0 & 100 & 0 \\ 0 & 0 & 1 \end{matrix})$	$(\begin{matrix} 99.998 & 0.8722 & - 0.7735 \\ - 0.8706 & 99.995 & 2.6823 \\ 0 & 0 & 1 \end{matrix})$
(0.23, 0)	rms (mm)	$3.8 \times 10^{- 18}$	$2.3 {\times 10}^{- 10}$
(0.12, 0.34)	$H^{3}$	$(\begin{matrix} 100 & 0 & 0.2008 \\ 0 & 100 & 0.569 \\ 0 & 0 & 1 \end{matrix})$	$(\begin{matrix} 99.999 & 0.8718 & - 0.5923 \\ - 0.8738 & 99.996 & 2.1053 \\ 0 & 0 & 1 \end{matrix})$
(0.12, 0.34)	rms (mm)	$4.10 {\times 10}^{- 18}$	$2.3 \times 10^{- 10}$
$(- 0.15, - 0.65)$	$H^{4}$	$(\begin{matrix} 100 & 0 & - 0.251 \\ 0 & 100 & - 1.071 \\ 0 & 0 & 1 \end{matrix})$	$(\begin{matrix} 99.997 & 0.8726 & - 0.9816 \\ - 0.8737 & 99.996 & 2.1087 \\ 0 & 0 & 1 \end{matrix})$
$(- 0.15, - 0.65)$	rms (mm)	$5.4 \times 10^{- 18}$	$2.2 {\times 10}^{- 10}$

$(ε_{x}, ε_{y}) (°)$	$(α, β, λ) = (0, 0, 0) (°)$	$(α, β, λ) = (0.12, 0.3, 0.5) (°)$
(0, 0)	$(\begin{matrix} 0 & 0 & 0 \end{matrix})$	$(\begin{matrix} 0.4122 & 0.0320 & 0.5022 \end{matrix})$
(0.23, 0)	$(\begin{matrix} 0 & 0 & 0 \end{matrix})$	$(\begin{matrix} 0.2600 & 0.4030 & 0.4992 \end{matrix})$
(0.12, 0.34)	$(\begin{matrix} 0 & 0 & 0 \end{matrix})$	$(\begin{matrix} 0.1223 & 0.4768 & 0.5000 \end{matrix})$
$(- 0.15, - 0.65)$	$(\begin{matrix} 0 & 0 & 0 \end{matrix})$	$(\begin{matrix} 0.1213 & 0.2994 & 0.5003 \end{matrix})$

$(χ_{x}, χ_{y}) (°)$	$(α, β, λ) = (0, 0) (°)$	$(α, β, λ) = (0.12, 0.3, 0.5) (°)$
(0.23, 0)	9.59	9.59
(0.12, 0.34)	9.59	9.69
$(- 0.15, - 0.65)$	9.59	9.68

$(ε_{x}, ε_{y}) (°)$		$(α, β, λ) = (0, 0, 0) (°)$	$(α, β, λ) = (0.12, 0.3, 0.5) (°)$
(0, 0)	$H^{1}$	$(\begin{matrix} 100 & 0 & 0 \\ 0 & 100 & 0 \\ 0 & 0 & 1 \end{matrix})$	$(\begin{matrix} 99.996 & 0.8732 & - 1.2450 \\ - 0.8796 & 99.998 & 1.0275 \\ 0 & 0 & 1 \end{matrix})$
(0, 0)	rms (mm)	$1.0 \times 10^{- 18}$	$2.5 \times 10^{- 10}$
(0.23, 0)	$H^{2}$	$(\begin{matrix} 100 & 0 & 0.3849 \\ 0 & 100 & 0 \\ 0 & 0 & 1 \end{matrix})$	$(\begin{matrix} 99.998 & 0.8722 & - 0.7735 \\ - 0.8706 & 99.995 & 2.6823 \\ 0 & 0 & 1 \end{matrix})$
(0.23, 0)	rms (mm)	$3.8 \times 10^{- 18}$	$2.3 {\times 10}^{- 10}$
(0.12, 0.34)	$H^{3}$	$(\begin{matrix} 100 & 0 & 0.2008 \\ 0 & 100 & 0.569 \\ 0 & 0 & 1 \end{matrix})$	$(\begin{matrix} 99.999 & 0.8718 & - 0.5923 \\ - 0.8738 & 99.996 & 2.1053 \\ 0 & 0 & 1 \end{matrix})$
(0.12, 0.34)	rms (mm)	$4.10 {\times 10}^{- 18}$	$2.3 \times 10^{- 10}$
$(- 0.15, - 0.65)$	$H^{4}$	$(\begin{matrix} 100 & 0 & - 0.251 \\ 0 & 100 & - 1.071 \\ 0 & 0 & 1 \end{matrix})$	$(\begin{matrix} 99.997 & 0.8726 & - 0.9816 \\ - 0.8737 & 99.996 & 2.1087 \\ 0 & 0 & 1 \end{matrix})$
$(- 0.15, - 0.65)$	rms (mm)	$5.4 \times 10^{- 18}$	$2.2 {\times 10}^{- 10}$

$(ε_{x}, ε_{y}) (°)$	$(α, β, λ) = (0, 0, 0) (°)$	$(α, β, λ) = (0.12, 0.3, 0.5) (°)$
(0, 0)	$(\begin{matrix} 0 & 0 & 0 \end{matrix})$	$(\begin{matrix} 0.4122 & 0.0320 & 0.5022 \end{matrix})$
(0.23, 0)	$(\begin{matrix} 0 & 0 & 0 \end{matrix})$	$(\begin{matrix} 0.2600 & 0.4030 & 0.4992 \end{matrix})$
(0.12, 0.34)	$(\begin{matrix} 0 & 0 & 0 \end{matrix})$	$(\begin{matrix} 0.1223 & 0.4768 & 0.5000 \end{matrix})$
$(- 0.15, - 0.65)$	$(\begin{matrix} 0 & 0 & 0 \end{matrix})$	$(\begin{matrix} 0.1213 & 0.2994 & 0.5003 \end{matrix})$

Abstract

Cited By

Figures (2)

Tables (3)

Equations (6)

Optics Letters