Study on Bandwidth of 2-D Dielectric PBG Material

Based on the eigenvalue equations of vector fields E and H by extending Bloch theorem to the vector field Maxwell equations, the characteristics of 2-D dielectric rod array with square cross-section elements arranged in square lattice is analyzed in detail.From the numerical results, empirical expressions for both the relative bandwidth of frequency band gap and the midgap frequency with respect to the average permittivity, under the optimal filling fraction of dielectric/air in cross-section for wider bandwidth, are formulated by means of data fit.5 The Bandwidth of the Gap and the Midgap Frequency 5.1 The Relative Bandwidth of a Gap 5.1.1Square Lattice of Square Dielectric Rods 5.1.2Square Lattice of Square Air Rods 5.2 The Wavelength of the Midgap Frequency in Free Space 5.2.1 Square Lattice of Square Dielectric Rods 5.2.2 Square Lattice of Square Air Rods 5.3 New Concept in Designing 2-D Dielectric PBG Structure 6 Conclusion Appendix A. The simplification of Tri-Vector Cross Product Appendix B.