Two-body correlations in two-dimensional classical solids and their role in first-order perturbation theories

2000 ◽  
Vol 112 (20) ◽  
pp. 8970-8975 ◽  
Author(s):  
J. Serrano-Illán ◽  
E. Velasco ◽  
G. Navascués ◽  
L. Mederos
Keyword(s):  
Order Perturbation ◽  
Two Dimensional ◽  
First Order ◽  
First Order Perturbation

scholarly journals Perturbation Analysis with Approximate Integration for Propagation Mode in Two-Dimensional Two-Slab Waveguides

ISRN Optics ◽  
2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Naofumi Kitsunezaki
Keyword(s):  
Taylor Expansion ◽  
Propagation Constant ◽  
Perturbation Expansion ◽  
Order Perturbation ◽  
Propagation Mode ◽  
Two Dimensional ◽  
Slab Waveguides ◽  
First Order ◽  
Core Width ◽  
First Order Perturbation

On the basis of perturbation expansion from a gapless system, we calculate the propagation constant and propagation mode wave function in two-dimensional two-slab waveguides with a core gap small enough that there is only one propagation mode. We also perform calculations without the approximation for comparison. Our result shows that first-order perturbation contains the first-order Taylor expansion of (core gap)/(core width), and when the integration of the perturbation is suitably approximated, the result of the first-order perturbation is the same as that of the first-order Taylor expansion of (core gap)/(core width).

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