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By combining two Fibonacci quasi-periodic structures and a periodic structure to form a heterostructure,a broad omnidirectional reflection band is obtained.From the numerical results performed by the transfer matrix method,it is found that the reflection bands of the two Fibonacci quasi-periodic sub-structures and the periodic sub-structure can be compensated for each other.This method is expected to be useful in constructing a onedimensional quasi-periodic photonic crystal structure with a broad omnidirectional reflection band.