Theoretical optimization of complete forbidden bands in woodpile-type photonic crystals

Abstract

Based on the plane-wave method, the optical properties of complete forbidden bands of woodpile structure photonic crystal with an entire lattice rotation of 45° 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 40° to 50° and the maximum gap to mid-gap ratio of 0.2 remains unchanged for the rotation angle from 42° to 48° 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.

References

[1] ÖzbayB. E.. J. Opt. Soc. Am, 1996, 13: 1945

[2] YablonovitchE., GmitterT. J., LeungK. M.. Phys. Rev. Lett., 1991, 67: 2295

[3] HoK. M., ChanC. T., SoukoulisC. M.. Phys. Rev. Lett., 1990, 65: 3152

[4] HoK. M., ChanC. T., SoukoulisC. M.. Solid State Commun., 1994, 89: 413

[5] FanS., VilleneuveP. R., MeadeR. D.. Appl. Phys. Lett., 1994, 65: 1466

[6] SozuerH. S., DowlingJ. P.. J. Mod. Opt., 1994, 41: 231

[7] El-Kady, SiglasM. M., BisawasR.. J. lightwave. technol., 1999, 17: 2042

[8] KopperschmidtP.. Appl. Phys. B., 2003, 76: 729

[9] LinS., FlemingJ. G.. J. lightwave technol., 1999, 17: 1944

[10] NodaS., YamamotoN., ImadaM.. J. Lightwave Technol., 1999, 17: 1948

[11] FlemingJ. G., LinS. Y.. Opt. Lett., 1999, 24: 49

[12] Rsoft CAD 5.19 [DB/CD]