TY - JOUR
T1 - Asymptotic fields for a Hamiltonian treatment of nonlinear electromagnetic phenomena
AU - Liscidini, M.
AU - Helt, L. G.
AU - Sipe, J. E.
PY - 2012/1/23
Y1 - 2012/1/23
N2 - We discuss the use of asymptotic-in and -out fields in a Hamiltonian treatment of nonlinear electromagnetic problems. Our approach allows a description of nonlinear phenomena in a number of geometries and is suitable to treat integrated photonic structures, particularly cavities. We present examples in which the nonlinear phenomena are weak enough for pump depletion to be neglected, and we report some results related to the description of second-order nonlinear processes in ring resonators and layered structures.
AB - We discuss the use of asymptotic-in and -out fields in a Hamiltonian treatment of nonlinear electromagnetic problems. Our approach allows a description of nonlinear phenomena in a number of geometries and is suitable to treat integrated photonic structures, particularly cavities. We present examples in which the nonlinear phenomena are weak enough for pump depletion to be neglected, and we report some results related to the description of second-order nonlinear processes in ring resonators and layered structures.
UR - http://www.scopus.com/inward/record.url?scp=84856179593&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.85.013833
DO - 10.1103/PhysRevA.85.013833
M3 - Article
AN - SCOPUS:84856179593
SN - 1050-2947
VL - 85
SP - 1
EP - 15
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 1
M1 - 013833
ER -