Based on the plane-wave method,the optical properties of complete forbidden bands of woodpile structure photonic crystal with an entire lattice rotation of 45o in the x-y plane were theoretically studied in terms of height-to-pitch ratios,filling factors,and rotation angles. The calculated results show that the gap to mid-gap ratio changes slightly with a filling fraction ranging from 0.25 to 0.30. The optimum height-to-pitch ratio is about 1.3. The gap to mid-gap ratio reaches more than 0.18 when the rotation angle increases from 40o to 50o and the maximum gap to mid-gap ratio of 0.2 remains unchanged for the rotation angle from 420 to 48o with a constant height-to-pitch ratio of 1.3. The gap to mid-gap ratio reaches the maximum value of 0.2 when the height-to-pitch ratio is 1.3. This woodpile-type photonic crystal can provide large band gaps within a wider parameter range,which makes it convenient to manufacture three-dimensional photonic crystals in the laboratory.
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