Self-Image Multiplicity in a Concave Cylindrical Mirror
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917172961345536 |
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| author | Nguyen, Thach A. Yasumura, Kaitlyn S. Tran, Duy V. Phan, Trung V. |
| author_facet | Nguyen, Thach A. Yasumura, Kaitlyn S. Tran, Duy V. Phan, Trung V. |
| contents | Concave mirrors are fundamental optical elements, yet some easily observed behaviors are rarely addressed in standard textbooks, such as the formation of multiple reflected images. Here we investigate self-imaging -- where the observer is also the observed object -- using a concave cylindrical mirror. We predict the number of self-images visible from different observation points and classify space into regions by image count. We then test these predictions with an inexpensive stainless-steel concave cylindrical mirror commonly found in teaching labs. This activity links geometrical optics principles to direct observation and provides a ready-to-use classroom demonstration and student exercise. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04370 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Self-Image Multiplicity in a Concave Cylindrical Mirror Nguyen, Thach A. Yasumura, Kaitlyn S. Tran, Duy V. Phan, Trung V. Optics Concave mirrors are fundamental optical elements, yet some easily observed behaviors are rarely addressed in standard textbooks, such as the formation of multiple reflected images. Here we investigate self-imaging -- where the observer is also the observed object -- using a concave cylindrical mirror. We predict the number of self-images visible from different observation points and classify space into regions by image count. We then test these predictions with an inexpensive stainless-steel concave cylindrical mirror commonly found in teaching labs. This activity links geometrical optics principles to direct observation and provides a ready-to-use classroom demonstration and student exercise. |
| title | Self-Image Multiplicity in a Concave Cylindrical Mirror |
| topic | Optics |
| url | https://arxiv.org/abs/2510.04370 |