Self-healing of the Montgomery pattern
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866916022931423232 |
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| author | Xu, Athena de Vries, Oscar Palmieri, Alfonso Yessenov, Murat Abouraddy, Ayman F. Capasso, Federico |
| author_facet | Xu, Athena de Vries, Oscar Palmieri, Alfonso Yessenov, Murat Abouraddy, Ayman F. Capasso, Federico |
| contents | Self-healing -- the ability of a structured beam to reconstruct its transverse profile after partial obstruction -- has been demonstrated for diffraction-free beams, where the recovery distance varies continuously with obstruction size. Here, we investigate self-healing in the Montgomery pattern, a self-imaging of tightly localized optical fields. Using Babinet's principle, we show theoretically that the recovery distance is quantized in integer multiples of the self-imaging period -- a qualitative distinction from all previously studied self-healing beams. We confirm these predictions experimentally using a programmable holographic setup with circular disk obstructions of size up to $20\times$ of the spot size of the Montgomery pattern at the self-imaging plane, establishing the robustness of the Montgomery pattern against scatterers and obstructions in the beam path. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_18318 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Self-healing of the Montgomery pattern Xu, Athena de Vries, Oscar Palmieri, Alfonso Yessenov, Murat Abouraddy, Ayman F. Capasso, Federico Optics Self-healing -- the ability of a structured beam to reconstruct its transverse profile after partial obstruction -- has been demonstrated for diffraction-free beams, where the recovery distance varies continuously with obstruction size. Here, we investigate self-healing in the Montgomery pattern, a self-imaging of tightly localized optical fields. Using Babinet's principle, we show theoretically that the recovery distance is quantized in integer multiples of the self-imaging period -- a qualitative distinction from all previously studied self-healing beams. We confirm these predictions experimentally using a programmable holographic setup with circular disk obstructions of size up to $20\times$ of the spot size of the Montgomery pattern at the self-imaging plane, establishing the robustness of the Montgomery pattern against scatterers and obstructions in the beam path. |
| title | Self-healing of the Montgomery pattern |
| topic | Optics |
| url | https://arxiv.org/abs/2605.18318 |