A Single-Mode Approximation for Gravity Waves in the Thermosphere

2021 ◽  
Author(s):  
Harold Knight ◽  
David Broutman ◽  
Stephen Eckermann
Keyword(s):  
Gravity Waves ◽  
Single Mode ◽  
Single Mode Approximation

Gravity waves in a circular well

2002 ◽  
Vol 460 ◽  
pp. 177-180
Author(s):  
JOHN MILES
Keyword(s):  
Free Surface ◽  
Half Space ◽  
Gravity Waves ◽  
Natural Frequencies ◽  
Single Mode ◽  
Two Dimensional ◽  
Characteristic Determinant ◽  
Parallel Argument ◽  
Single Mode Approximation ◽  
Infinite Reservoir

The natural frequencies of gravity waves in a circular well that is bounded above by a free surface and below by a semi-infinite reservoir are approximated by neglecting the off-diagonal terms of the characteristic determinant (single-mode approximation) and invoking the known results for an aperture in a half-space (well of zero depth). A parallel argument yields the corresponding results for a two-dimensional well (a slot). Comparison with Molin's (2001) numerical results for a slot suggests that the error in the single-mode approximation is [lsim ] 1%.

Chaos Control in Single Mode Approximation of T-AFM Systems Using Nonlinear Delayed Feedback Based on Sliding Mode Control

2007 ◽  
Author(s):  
Hoda Sadeghian ◽  
Mehdi Tabe Arjmand ◽  
Hassan Salarieh ◽  
Aria Alasty
Keyword(s):  
Feedback Control ◽  
High Performance ◽  
Sliding Mode ◽  
Chaotic Behavior ◽  
Single Mode ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Model Parameters ◽  
Unstable Periodic Orbits ◽  
Single Mode Approximation

The taping mode Atomic Force Microscopic (T-AFM) can be properly described by a sinusoidal excitation of its base and nonlinear potential interaction with sample. Thus the cantilever may cause chaotic behavior which decreases the performance of the sample topography. In this paper a nonlinear delayed feedback control is proposed to control chaos in a single mode approximation of a T-AFM system. Assuming model parameters uncertainties, the first order Unstable Periodic Orbits (UPOs) of the system is stabilized using the sliding nonlinear delayed feedback control. The effectiveness of the presented methods is numerically verified and the results show the high performance of the controller.

Field calculation for the horn waveguide transition in the single-mode approximation of the cross-sections method

2017 ◽  
Author(s):  
Migran Gevorkyan ◽  
Dmitriy Kulyabov ◽  
Konstantin Lovetskiy ◽  
Leonid Sevastianov ◽  
Anton Sevastianov
Keyword(s):  
Cross Sections ◽  
Single Mode ◽  
Field Calculation ◽  
Waveguide Transition ◽  
Single Mode Approximation ◽  
The Cross
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