Interference patterns in thin films arise from multiple reflections at the film's interfaces, resulting in a combination of light waves that can create distinct bands. The term "separated" refers to the observable spacing between these interference bands, which can be influenced by factors like film thickness and light wavelength. In the context of measuring a fiber's diameter, the interference bands observed can provide crucial data, but understanding the principles of destructive interference is essential for accurate calculations. The discussion emphasizes the importance of independent research and comprehension before seeking help with complex physics problems. Engaging with foundational concepts in thin film interference is necessary for solving related homework questions effectively.