Self-Image Multiplicity in a Concave Cylindrical Mirror
Optics
2025-12-30 v2
Abstract
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.
Cite
@article{arxiv.2510.04370,
title = {Self-Image Multiplicity in a Concave Cylindrical Mirror},
author = {Thach A. Nguyen and Kaitlyn S. Yasumura and Duy V. Tran and Trung V. Phan},
journal= {arXiv preprint arXiv:2510.04370},
year = {2025}
}