The Microwave Rainbow: How Geometry Paints Colours in Microwave Vision
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911153328750592 |
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| author | Yang, Huizhang |
| author_facet | Yang, Huizhang |
| contents | Microwave vision from spaceborne synthetic aperture radar (SAR) provides an all-weather, day-and-night capability to observe Earth, yet much of the information encoded in its signals remains undeciphered. Recent high-resolution imagery has revealed a striking phenomenon: man-made structures systematically appear in a spectrum of colours, the physical origin of which has been an open question. Here we show that this effect, which we term the microwave rainbow, is a form of geometric dispersion arising from structures acting as intrinsic diffraction gratings. We introduce a geometric-physical model that provides a direct analytical link between a target's geometry and its observed colour signature. This model quantitatively explains the full range of signatures, from continuous colour gradients on curved surfaces (zero-order diffraction) to repeating spectral patterns from periodic structures (high-order diffraction). This work transforms colour from a visual artefact into a precise measure of physical form, enabling the geometry of both critical infrastructure and natural phenomena to be mapped directly from space. Our findings establish the physical basis for a new remote sensing modality: microwave colour vision, and open a new frontier in how we perceive our world. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_11099 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Microwave Rainbow: How Geometry Paints Colours in Microwave Vision Yang, Huizhang Image and Video Processing Signal Processing Microwave vision from spaceborne synthetic aperture radar (SAR) provides an all-weather, day-and-night capability to observe Earth, yet much of the information encoded in its signals remains undeciphered. Recent high-resolution imagery has revealed a striking phenomenon: man-made structures systematically appear in a spectrum of colours, the physical origin of which has been an open question. Here we show that this effect, which we term the microwave rainbow, is a form of geometric dispersion arising from structures acting as intrinsic diffraction gratings. We introduce a geometric-physical model that provides a direct analytical link between a target's geometry and its observed colour signature. This model quantitatively explains the full range of signatures, from continuous colour gradients on curved surfaces (zero-order diffraction) to repeating spectral patterns from periodic structures (high-order diffraction). This work transforms colour from a visual artefact into a precise measure of physical form, enabling the geometry of both critical infrastructure and natural phenomena to be mapped directly from space. Our findings establish the physical basis for a new remote sensing modality: microwave colour vision, and open a new frontier in how we perceive our world. |
| title | The Microwave Rainbow: How Geometry Paints Colours in Microwave Vision |
| topic | Image and Video Processing Signal Processing |
| url | https://arxiv.org/abs/2509.11099 |