TY - JOUR
T1 - Photonic-crystal surface modes found from impedances
AU - Lawrence, Felix J.
AU - Botten, Lindsay C.
AU - Dossou, Kokou B.
AU - McPhedran, R. C.
AU - De Sterke, C. Martijn
PY - 2010/11/30
Y1 - 2010/11/30
N2 - We present a method for finding surface modes at interfaces between two-dimensional photonic crystals (PCs), in which the surface modes are represented as superpositions of the PCs' propagating and evanescent Bloch modes. We derive an existence condition for surface modes at an air-PC interface in terms of numerically calculated PC impedance matrices, and use the condition to find surface modes in the partial band gap of a PC. We also derive a condition for modes of a three-layer structure with two interfaces, and find both coupled surface modes and waveguide modes. We show that some waveguide modes cross the band edge and become coupled surface modes.
AB - We present a method for finding surface modes at interfaces between two-dimensional photonic crystals (PCs), in which the surface modes are represented as superpositions of the PCs' propagating and evanescent Bloch modes. We derive an existence condition for surface modes at an air-PC interface in terms of numerically calculated PC impedance matrices, and use the condition to find surface modes in the partial band gap of a PC. We also derive a condition for modes of a three-layer structure with two interfaces, and find both coupled surface modes and waveguide modes. We show that some waveguide modes cross the band edge and become coupled surface modes.
UR - http://www.scopus.com/inward/record.url?scp=78650983033&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.82.053840
DO - 10.1103/PhysRevA.82.053840
M3 - Article
SN - 1050-2947
VL - 82
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 5
M1 - 053840
ER -