Asymptotic fields for a Hamiltonian treatment of nonlinear electromagnetic phenomena

M. Liscidini; L. G. Helt; J. E. Sipe

doi:10.1103/PhysRevA.85.013833

Asymptotic fields for a Hamiltonian treatment of nonlinear electromagnetic phenomena

M. Liscidini^*, L. G. Helt, J. E. Sipe

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

87 Citations (Scopus)

Abstract

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.

Original language	English
Article number	013833
Pages (from-to)	1-15
Number of pages	15
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	85
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevA.85.013833
Publication status	Published - 23 Jan 2012
Externally published	Yes

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10.1103/PhysRevA.85.013833

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title = "Asymptotic fields for a Hamiltonian treatment of nonlinear electromagnetic phenomena",

abstract = "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.",

author = "M. Liscidini and Helt, \{L. G.\} and Sipe, \{J. E.\}",

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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 - https://www.scopus.com/pages/publications/84856179593

U2 - 10.1103/PhysRevA.85.013833

DO - 10.1103/PhysRevA.85.013833

M3 - Article

AN - SCOPUS:84856179593

SN - 1050-2947

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JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

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ER -

Asymptotic fields for a Hamiltonian treatment of nonlinear electromagnetic phenomena

Abstract

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