A sheet includes an optical fiber extending across at least a portion of its surface to detect nuclear radiation. The sheet can line at least a portion of a shipping container or box. Radiation within or outside the container or box reduces optical transmissibility of the fiber. The fiber integrates the radiation over time and/or over the length of the fiber, making the fiber sensitive to even low-level radiation. Dopants, use of particular wavelengths of light or temperatures or other mechanisms can increase the sensitivity of the optical fiber to radiation. The optical fiber is monitored for a change in its transmissibility. A reduction in the transmissibility, such as to below a threshold, can trigger an alarm, such as an annunciator, or send a message that includes information about the time or the container's contents or location when the radiation is detected to a central location, such as a ship's control room or port notification system.