Phase tomography with axial structured illumination
Holographic tomography (HT) or optical diffraction tomography provides slice-by-slice information about the refractive index (RI) of three-dimensional (3D) samples and is emerging as an important label-free imaging modality for life sciences. HT systems go beyond digital holographic microscopes (DHM...
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IOP Publishing
2025-01-01
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| Online Access: | https://doi.org/10.1088/2515-7647/ade107 |
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| author | Nishant Goyal Kedar Khare |
| author_facet | Nishant Goyal Kedar Khare |
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| collection | DOAJ |
| description | Holographic tomography (HT) or optical diffraction tomography provides slice-by-slice information about the refractive index (RI) of three-dimensional (3D) samples and is emerging as an important label-free imaging modality for life sciences. HT systems go beyond digital holographic microscopes (DHM) that provide a two-dimensional representation of the total accumulated phase acquired by a plane beam on transmission through a 3D sample. While the early HT systems used a direct reconstruction methodology based on the Fourier diffraction theorem, in recent years, there is an increasing shift towards iterative optimization frameworks for solving the 3D RI reconstruction problem. Iterative frameworks naturally offer several advantages for addressing the data incompleteness issues (e.g. missing illumination angles) and have superior noise handling capability, since they employ suitable constraint functions. Despite this algorithmic framework shift, the HT system hardware still largely uses the multi-angle illumination geometries that were suitable for reconstructions based on the Fourier diffraction theorem. The present work examines the possibility of HT reconstruction through the use of on-axis structured illumination(s) that are nominally incident on the 3D sample only along the direction of the optical axis of the system. Through a simulation study, it is shown that a cross-talk free slice-by-slice 3D RI reconstruction of the sample is possible in this case via the use of sparsity penalties if the slice-to-slice distance obeys a design curve based on the notion of effective depth of focus. The simulation results for two-, three- and four-slice 3D objects with laterally overlapping features clearly outline the separate roles played by the slice-to-slice de-correlation of the field propagating through the 3D sample (modeled via multi-slice beam propagation) and that of the sparsity penalty used to guide the iterative solution. Our results suggest the possibility of realizing an axial structured illumination tomography (ASIT) system configuration that avoids the use of hardware-intensive multi-angle illumination geometry. An ASIT system can, for example, be realized by minimal modification of a traditional DHM system. |
| format | Article |
| id | doaj-art-9e089c052dcd49779cfebf4080f1c3fe |
| institution | DOAJ |
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| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
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| series | JPhys Photonics |
| spelling | doaj-art-9e089c052dcd49779cfebf4080f1c3fe2025-08-20T03:21:16ZengIOP PublishingJPhys Photonics2515-76472025-01-017303501210.1088/2515-7647/ade107Phase tomography with axial structured illuminationNishant Goyal0https://orcid.org/0009-0007-4126-3455Kedar Khare1https://orcid.org/0000-0002-3104-3850Department of Physics, Indian Institute of Technology Delhi , New Delhi 110016, IndiaDepartment of Physics, Indian Institute of Technology Delhi , New Delhi 110016, India; Optics and Photonics Centre, Indian Institute of Technology Delhi , New Delhi 110016, IndiaHolographic tomography (HT) or optical diffraction tomography provides slice-by-slice information about the refractive index (RI) of three-dimensional (3D) samples and is emerging as an important label-free imaging modality for life sciences. HT systems go beyond digital holographic microscopes (DHM) that provide a two-dimensional representation of the total accumulated phase acquired by a plane beam on transmission through a 3D sample. While the early HT systems used a direct reconstruction methodology based on the Fourier diffraction theorem, in recent years, there is an increasing shift towards iterative optimization frameworks for solving the 3D RI reconstruction problem. Iterative frameworks naturally offer several advantages for addressing the data incompleteness issues (e.g. missing illumination angles) and have superior noise handling capability, since they employ suitable constraint functions. Despite this algorithmic framework shift, the HT system hardware still largely uses the multi-angle illumination geometries that were suitable for reconstructions based on the Fourier diffraction theorem. The present work examines the possibility of HT reconstruction through the use of on-axis structured illumination(s) that are nominally incident on the 3D sample only along the direction of the optical axis of the system. Through a simulation study, it is shown that a cross-talk free slice-by-slice 3D RI reconstruction of the sample is possible in this case via the use of sparsity penalties if the slice-to-slice distance obeys a design curve based on the notion of effective depth of focus. The simulation results for two-, three- and four-slice 3D objects with laterally overlapping features clearly outline the separate roles played by the slice-to-slice de-correlation of the field propagating through the 3D sample (modeled via multi-slice beam propagation) and that of the sparsity penalty used to guide the iterative solution. Our results suggest the possibility of realizing an axial structured illumination tomography (ASIT) system configuration that avoids the use of hardware-intensive multi-angle illumination geometry. An ASIT system can, for example, be realized by minimal modification of a traditional DHM system.https://doi.org/10.1088/2515-7647/ade107optical diffraction tomographyphase tomographyholographic tomographystructured illuminationiterative image reconstruction |
| spellingShingle | Nishant Goyal Kedar Khare Phase tomography with axial structured illumination JPhys Photonics optical diffraction tomography phase tomography holographic tomography structured illumination iterative image reconstruction |
| title | Phase tomography with axial structured illumination |
| title_full | Phase tomography with axial structured illumination |
| title_fullStr | Phase tomography with axial structured illumination |
| title_full_unstemmed | Phase tomography with axial structured illumination |
| title_short | Phase tomography with axial structured illumination |
| title_sort | phase tomography with axial structured illumination |
| topic | optical diffraction tomography phase tomography holographic tomography structured illumination iterative image reconstruction |
| url | https://doi.org/10.1088/2515-7647/ade107 |
| work_keys_str_mv | AT nishantgoyal phasetomographywithaxialstructuredillumination AT kedarkhare phasetomographywithaxialstructuredillumination |