Steady‐state theory of backward‐traveling‐wave parametric interactions

1974 ◽  
Vol 45 (12) ◽  
pp. 5482-5483 ◽  
Author(s):  
D. Andersson
Keyword(s):  
Steady State ◽  
Traveling Wave ◽  
State Theory ◽  
Parametric Interactions

STABILITY OF STEADY STATE AND TRAVELING WAVES SOLUTIONS IN COUPLED MAP LATTICES

2008 ◽  
Vol 18 (01) ◽  
pp. 219-225 ◽  
Author(s):  
DANIEL TURZÍK ◽  
MIROSLAVA DUBCOVÁ
Keyword(s):  
Steady State ◽  
Essential Spectrum ◽  
Traveling Waves ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Linear Operators ◽  
Coupled Map Lattices ◽  
Basic Tool ◽  
Wave Solutions ◽  
The Stability

We determine the essential spectrum of certain types of linear operators which arise in the study of the stability of steady state or traveling wave solutions in coupled map lattices. The basic tool is the Gelfand transformation which enables us to determine the essential spectrum completely.

Non-steady-state stimulated scattering: a convenient solution in terms of convolution integrals

1977 ◽  
Vol 352 (1671) ◽  
pp. 539-555
Keyword(s):  
Steady State ◽  
Input Pulse ◽  
State Theory ◽  
Spatial Modulation ◽  
Bragg Angle ◽  
Stimulated Scattering ◽  
Scattering Spectrum ◽  
Convolution Integrals ◽  
Beam Incident ◽  
Scattered Beam

A non-steady-state theory of stimulated light scattering, which places particular emphasis on the effects induced in the scattering medium, is developed. It is shown that a spatial modulation of the dielectric constant is induced whose amplitude and phase can be expressed in terms of simple convolution integrals. These involve only the input pulse shape, the steady-state scattering spectrum and the frequency shift between the laser and scattered beams. The effect of the induced modulation on the scattered beam and on any weak independent beam incident at the Bragg angle is also considered.

Steady-state theory of thermal explosions

1978 ◽  
Vol 14 (5) ◽  
pp. 658-660 ◽  
Author(s):  
E. A. Eremin ◽  
A. K. Kolesnikov
Keyword(s):  
Steady State ◽  
State Theory ◽  
Thermal Explosions

A Note on the General Steady-state Theory of Linear Magnetrons

1962 ◽  
Vol 12 (3) ◽  
pp. 243-246 ◽  
Author(s):  
A. W. HORSLEY ◽  
G. D. Sraisf
Keyword(s):  
Steady State ◽  
State Theory
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