Concept:
Optical fibers transmit light signals over long distances using the principle of Total Internal Reflection (TIR). When light travels from a denser medium to a rarer medium at an angle greater than the critical angle, it gets completely reflected back into the denser medium instead of refracting out.
Step 1: Understand the structure of an optical fiber.
An optical fiber consists of:
• Core (denser medium)
• Cladding (rarer medium)
Step 2: Apply the condition for Total Internal Reflection.
Light entering the core strikes the core-cladding boundary at an angle greater than the critical angle, causing it to reflect entirely within the core.
Step 3: Resulting transmission.
Due to repeated total internal reflections, the light signal propagates through the fiber with minimal loss.
Hence, the working principle behind signal transmission in optical fibers is:
\[
\boxed{\text{Total Internal Reflection}}
\]