scholarly journals Degenerate Modes of Symmetric Instability

2008 ◽  
Vol 86 (4) ◽  
pp. 557-562 ◽  
Author(s):  
Hirotada KANEHISA
Keyword(s):  
Degenerate Modes ◽  
Symmetric Instability

Properties of leaky and degenerate modes in a prism–film coupler with waveguide structure

2003 ◽  
Vol 94 (11) ◽  
pp. 7025-7030 ◽  
Author(s):  
Xi-Jing Zhang ◽  
Xi-Zhi Fan ◽  
Jun Yan ◽  
Fei Xu ◽  
Xiao-Yuan Lou ◽  
...  
Keyword(s):  
Waveguide Structure ◽  
Degenerate Modes

scholarly journals Parameterization of submesoscale symmetric instability in dense flows along topography

2020 ◽  
Author(s):  
Elizabeth Yankovsky ◽  
Sonya Legg ◽  
Robert W. Hallberg
Keyword(s):  
Dense Flows ◽  
Symmetric Instability

On problem of nonlinear symmetric instability in zonal shear flow

2002 ◽  
Vol 19 (2) ◽  
pp. 350-364 ◽  
Author(s):  
Shen Xinyong ◽  
Ni Yunqi ◽  
Ding Yihui
Keyword(s):  
Shear Flow ◽  
Symmetric Instability

Chaotic mode competition in parametrically forced surface waves

1985 ◽  
Vol 158 ◽  
pp. 381-398 ◽  
Author(s):  
S. Ciliberto ◽  
J. P. Gollub
Keyword(s):  
Fluid Layer ◽  
Chaotic Regime ◽  
Mode Competition ◽  
Sampling Techniques ◽  
Onset Of Chaos ◽  
Chaotic Mode ◽  
The Stability ◽  
Degenerate Modes ◽  
Local Sampling ◽  
Slow Timescale

Vertical forcing of a fluid layer leads to standing waves by means of a subharmonic instability. When the driving amplitude and frequency are chosen to be near the intersection of the stability boundaries of two nearly degenerate modes, we find that they can compete with each other to produce either periodic or chaotic motion on a slow timescale. We utilize digital image-processing methods to determine the time-dependent amplitudes of the competing modes, and local-sampling techniques to study the onset of chaos in some detail. Reconstruction of the attractors in phase space shows that in the chaotic regime the dimension of the attractor is fractional and at least one Lyapunov exponent is positive. The evidence suggests that a theory incorporating four coupled slow variables will be sufficient to account for the mode competition.

Field of degenerate modes

1978 ◽  
Vol 21 (7) ◽  
pp. 747-749
Author(s):  
T. I. Bichutskaya
Keyword(s):  
Degenerate Modes

Novel rat-race coupler design of arbitrary coupling coefficient using substrate integrated waveguide cavity

2018 ◽  
Vol 10 (8) ◽  
pp. 861-869 ◽  
Author(s):  
Min-Hua Ho ◽  
Yi-Hao Hong ◽  
Jen-Chih Li
Keyword(s):  
Transmission Lines ◽  
Coupling Coefficient ◽  
Substrate Integrated Waveguide ◽  
Cavity Field ◽  
Arbitrary Coupling ◽  
Degenerate Mode ◽  
Quarter Wavelength ◽  
Small Phase ◽  
Hybrid Coupler ◽  
Degenerate Modes

AbstractThe contribution of this paper is to propose a novel rat-race hybrid coupler of arbitrary coupling coefficient. Traditionally, the rat-race hybrid couplers are built by various loop-alike transmission-lines of multiple quarter-wavelength, and in this paper, we approach the coupler design by using a circular substrate integrated waveguide (SIW) cavity (SIWC). The employed SIWC supports two mutually orthogonal degenerate modes, and cavity field is formed by the two modes in an arbitrary weighting ratio which defines the proposed rat-race coupler's coupling coefficient. The cavity is excited by a microstrip combined coupling slot with the microstrip along a specifically chosen direction. The energy of each degenerate mode can be solely extracted by an associated subminiature version A (SMA) whose position is carefully determined. The isolation between the coupling slots is assured by their perpendicular layout, and the isolation between the SMA probes is obtained by the orthogonality of the two degenerate modes. Experiments are conducted on the 3- and 10-dB coupling coefficient samples to verify this novel rat-race coupler design. The measurements agree well with the simulations, and circuit's good performance is observed in terms of coupling precision, isolations, and small phase imbalances.

Sign in / Sign up

Export Citation Format

Share Document