Theory of Transient Optical Response and Pulse Propagation in Bounded Spatially Dispersive Media

1988 ◽  
pp. 303-314 ◽  
Author(s):  
Spiros V. Branis ◽  
K. Arya ◽  
Joseph L. Birman
Keyword(s):  
Pulse Propagation ◽  
Optical Response ◽  
Dispersive Media ◽  
Spatially Dispersive

Pulse propagation in spatially dispersive media

1983 ◽  
Vol 27 (2) ◽  
pp. 1044-1052 ◽  
Author(s):  
Ashok Puri ◽  
Joseph L. Birman
Keyword(s):  
Pulse Propagation ◽  
Dispersive Media ◽  
Spatially Dispersive

Slow light pulse propagation in dispersive media

2009 ◽  
Vol 10 (10) ◽  
pp. 957-963 ◽  
Author(s):  
Torben Roland Nielsen ◽  
Jesper Mørk ◽  
Andrei V. Lavrinenko
Keyword(s):  
Light Pulse ◽  
Pulse Propagation ◽  
Slow Light ◽  
Dispersive Media

Homogenisation

2012 ◽  
Author(s):  
G. F. Roach ◽  
I. G. Stratis ◽  
A. N. Yannacopoulos
Keyword(s):  
Evolution Equations ◽  
Elliptic Problems ◽  
Optical Response ◽  
Dispersive Media ◽  
Periodic Media ◽  
Rigorous Approach ◽  
Electromagnetic Medium ◽  
Alternative Approaches ◽  
Scale Expansion ◽  
Response Region

This chapter formulates the homogenisation problem for a complex electromagnetic medium. It presents a formal two-scale expansion that motivates this chapter's approach, enabling a prediction of the form of the homogenised system. Next, this chapter provides a rigorous approach to the homogenisation problem for media in the optical response region, which is then generalised for dispersive media. The convergence of the evolution equations for the fields in periodic media to those for a homogenised medium is proved and the coefficients of the homogenised medium are identified in terms of auxiliary elliptic problems. Lastly, this chapter collects some general comments and alternative approaches to the homogenisation problem.

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