Edge enhancement of phase objects through complex media by using transmission-matrix-based spiral phase contrast imaging

doi:10.1007/s11467-022-1169-y

Front. Phys.

2022, Vol. 17

Issue (5) : 52503 https://doi.org/10.1007/s11467-022-1169-y

RESEARCH ARTICLE

Edge enhancement of phase objects through complex media by using transmission-matrix-based spiral phase contrast imaging

Qian Zhao¹, Shijie Tu¹, Qiannan Lei¹, Qingyang Yue¹, Chengshan Guo¹, Yangjian Cai^1,²(

)

¹. Shandong Provincial Engineering and Technical Center of Light Manipulations & Shandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University, Jinan 250358, China
². School of Physical Science and Technology, Soochow University, Suzhou 215006, China

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Abstract

The wavefront shaping based technique has been introduced to detect the edges of amplitude objects through complex media, but the extraction of the boundary information of invisible phase objects through complex media has not been demonstrated yet. Here, we present a phase contrast imaging technique to overcome the scattering, aiming to achieve the edge detection of the phase object through the complex media. An operator based on the experimentally measured transmission matrix is obtained by numerically adding a spiral phase in the Fourier domain. With the inverse of the filtered transmission matrix, we can directly reconstruct the edge enhanced images for both amplitude object and phase object beyond scattering. Experimentally, both digital and real objects are imaged, and the results verify that isotropic edge detection can be achieved with our technique. Our work could benefit the detection of invisible phase objects through complex media.

Keywords complex media edge detection spiral phase contrast imaging

Corresponding Author(s): Yangjian Cai

Issue Date: 17 June 2022

Cite this article:

Qian Zhao,Shijie Tu,Qiannan Lei, et al. Edge enhancement of phase objects through complex media by using transmission-matrix-based spiral phase contrast imaging[J]. Front. Phys. , 2022, 17(5): 52503.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-022-1169-y
https://academic.hep.com.cn/fop/EN/Y2022/V17/I5/52503

Fig.1 Principle of transmission matrix based spiral phase contrast imaging through complex medium. (1) Operation of acquiring transmission matrix T of the complex medium. (2) Imaging through complex medium by use of the inverse T. (2′) Operation of obtaining

T^

by performing a two-dimensional spatial Fourier transform on T of every input field. (3′)

T^

is filtered by a spiral phase function V. (4′) Return to the spatial domain by taking an inverse Fourier transform on the term of

T^× V

. (5′) Spiral phase contrast imaging through complex medium by applying the inverse

T f i l t

Fig.2 Experimental setup. L: Lens; M: Mirror; BS: Beam splitter; DMD: Digital micro-mirror device; P: Pinhole; O: Object; OBJ: Objective; CM: Complex medium; CMOS: Complementary metal-oxide-semiconductor camera.

Fig.3 Edge detection of digital amplitude and phase objects by applying TM-based spiral phase contrast imaging technique. (a) The intensity distribution of the amplitude object of a star. (b) The phase distribution of the phase object of a moon. (c, d) Intensity speckle patterns at the output plane when the field of object transports through the ZnO scattering layer. The inset are the reconstructed images with the conventional inverse T operation. (e, f) The edge enhanced images with our presented technique. (g, h) The intensity profiles along the white dashed lines in (e, f), respectively. The green and red lines are the experimental data and theoretical data. (i) Correlation coefficient between the recovered edge enhanced images and the images digitally filtered by a spiral phase as a function of

γ

which is the ratio between the numbers of output modes and input modes.

Fig.4 Edge detection of real amplitude and phase objects by applying TM-based spiral phase contrast imaging technique. (a) A binary amplitude object of number “5”. (b) A phase object formed by an oil droplet on a cover glass. (c, d) The recorded intensity speckle patterns at the camera plane. (e, f) The corresponding reconstructed images with the conventional inverse T operation. (g, h) The corresponding edge enhanced images obtained with our presented technique. Scale bar, 1 mm.

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