1 December 2007 Coupling between guided-wave optical modes—a dynamical system model
John C. Butler
Author Affiliations +
Abstract
We provide a derivation of bidirectional coupled-mode equations from Maxwell's equations. The theoretical description of the collinear magneto-optical interaction of magnetostatic forward volume waves with guided optical modes is generalized. Its behavior is expressed using solutions to the coupled-mode equations. In some cases, applying the conservation of energy yields exact solutions that can be formed in terms of elementary transcendental functions. The auxiliary function method is used to find a series solution based on the solution of the homogeneous boundary value problem. Using the derived solutions, simulations show that the parallel antiparallel magneto-optical interaction bandwidth and structure can be tuned through selection of power applied to two transducers. They also show that equivalent mode power conversion can take place in half the propagation distance for parallel anitparallel magneto-optical interaction compared to pure traveling wave magneto-optical interaction.
©(2007) Society of Photo-Optical Instrumentation Engineers (SPIE)
John C. Butler "Coupling between guided-wave optical modes—a dynamical system model," Optical Engineering 46(12), 127203 (1 December 2007). https://doi.org/10.1117/1.2815723
Published: 1 December 2007
Lens.org Logo
CITATIONS
Cited by 4 scholarly publications.
Advertisement
Advertisement
RIGHTS & PERMISSIONS
Get copyright permission  Get copyright permission on Copyright Marketplace
KEYWORDS
Transducers

Wave propagation

Optical engineering

Differential equations

Waveguides

Ordinary differential equations

Maxwell's equations

Back to Top