Numerical Solution of the Second Moment Equation for Waves in an Inhomogeneous Waveguide

1992 ◽  
Vol 39 (6) ◽  
pp. 1343-1352 ◽  
Author(s):  
D.E. Reeve ◽  
M. Spivack
Keyword(s):  
Numerical Solution ◽  
Moment Equation ◽  
Second Moment ◽  
Inhomogeneous Waveguide

Numerical Solution of the Fourth-moment Equation for a Point Source

1990 ◽  
Vol 37 (5) ◽  
pp. 965-975 ◽  
Author(s):  
D.E. Reeve ◽  
S.R. Leonard ◽  
M. Spivack
Keyword(s):  
Point Source ◽  
Numerical Solution ◽  
Moment Equation ◽  
Fourth Moment

Propagation in waveguides containing random irregularities: the second moment equation

1981 ◽  
Vol 377 (1768) ◽  
pp. 73-98 ◽  
Keyword(s):  
Exact Solution ◽  
Refractive Index ◽  
Wave Propagation ◽  
Moment Equation ◽  
Refractive Index Profile ◽  
Physical Significance ◽  
Moment Equations ◽  
Index Profile ◽  
Second Moment ◽  
Parabolic Profile

The parabolic moment equations can be used to describe wave propagation in a waveguide, with an arbitrary refractive index profile, that contains weakly scattering irregularities. These equations remain valid even in the case of multiple scatter. An exact solution can be given if the guide has a parabolic profile, when the intensity on the axis of the guide exhibits periodic foci which are rapidly blurred as scattering increases. Exact solutions cannot be obtained when the profile is non-parabolic. The paper presents an approximate method of solving the second moment equation for an arbitrary profile. A simplified form of the solution useful in practice is given, and the method is illustrated for a waveguide with a cubic profile. The physical significance of the solution is discussed.

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