TY - JOUR
T1 - Analytic properties of photonic crystal superprism parameters
AU - Steel, M. J.
AU - Zoli, R.
AU - Grillet, C.
AU - McPhedran, R. C.
AU - Martijn De Sterke, C.
AU - Norton, A.
AU - Bassi, P.
AU - Eggleton, B. J.
PY - 2005/5
Y1 - 2005/5
N2 - We study the analytic properties of the photonic crystal superprism resolution parameters p, q, and r introduced previously by Baba and Matsumoto [Appl. Phys. Lett. 81, 2325 (2002)], which characterize the potential dispersive power of a superprism. We find closed form expressions for these quantities that greatly simplify their accurate evaluation and reveal significant insights about their behavior. The expressions imply general properties of the parameters which are true for all bands and all photonic crystals. In particular, we demonstrate that all photonic crystals exhibit infinite resolution as measured by the parameter r along particular contours in any photonic band.
AB - We study the analytic properties of the photonic crystal superprism resolution parameters p, q, and r introduced previously by Baba and Matsumoto [Appl. Phys. Lett. 81, 2325 (2002)], which characterize the potential dispersive power of a superprism. We find closed form expressions for these quantities that greatly simplify their accurate evaluation and reveal significant insights about their behavior. The expressions imply general properties of the parameters which are true for all bands and all photonic crystals. In particular, we demonstrate that all photonic crystals exhibit infinite resolution as measured by the parameter r along particular contours in any photonic band.
UR - http://www.scopus.com/inward/record.url?scp=26944498945&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.71.056608
DO - 10.1103/PhysRevE.71.056608
M3 - Article
C2 - 16089669
AN - SCOPUS:26944498945
SN - 1539-3755
VL - 71
SP - 1
EP - 9
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 5
M1 - 056608
ER -