scholarly journals Mode-shape measurement of piezoelectric plate using temporal speckle pattern interferometry and temporal standard deviation

2011 ◽  
Vol 36 (21) ◽  
pp. 4281 ◽  
Author(s):  
Ching-Yuan Chang ◽  
Chien-Ching Ma
Keyword(s):  
Standard Deviation ◽  
Mode Shape ◽  
Piezoelectric Plate ◽  
Speckle Pattern ◽  
Shape Measurement ◽  
Temporal Standard Deviation

An improved mode shape measurement system with two lasers of different wavelengths

2008 ◽  
Author(s):  
Yasuaki Watanabe ◽  
Noriyuki Imaeda ◽  
Kentaro Tachibana ◽  
Shigeyoshi Goka ◽  
Takayuki Sato ◽  
...  
Keyword(s):  
Mode Shape ◽  
Measurement System ◽  
Shape Measurement

scholarly journals FLUCTUATIONS OF QUANTUM RANDOM WALKS ON CIRCLES

2005 ◽  
Vol 03 (03) ◽  
pp. 535-549 ◽  
Author(s):  
NORIO INUI ◽  
YOSHINAO KONISHI ◽  
NORIO KONNO ◽  
TAKAHIRO SOSHI
Keyword(s):  
Standard Deviation ◽  
Random Walks ◽  
Initial Conditions ◽  
Classical Case ◽  
System Size ◽  
Temporal Fluctuation ◽  
Quantum Random Walks ◽  
Random Walker ◽  
Large System Size ◽  
Temporal Standard Deviation

Temporal fluctuations in the Hadamard walk on circles are studied. A temporal standard deviation of probability that a quantum random walker is positive at a given site is introduced to manifest striking differences between quantum and classical random walks. An analytical expression of the temporal standard deviation on a circle with odd sites is shown and its asymptotic behavior is considered for large system size. In contrast with classical random walks, the temporal fluctuation of quantum random walks depends on the position and initial conditions, since temporal standard deviation of the classical case is zero for any site. It indicates that the temporal fluctuation of the Hadamard walk can be controlled.

EVOLUTION OF CONTINUOUS-TIME QUANTUM RANDOM WALKS ON CIRCLES

2005 ◽  
Vol 05 (01) ◽  
pp. L73-L83 ◽  
Author(s):  
NORIO INUI ◽  
KOICHIRO KASAHARA ◽  
YOSHINAO KONISHI ◽  
NORIO KONNO
Keyword(s):  
Standard Deviation ◽  
Random Walks ◽  
Discrete Time ◽  
Continuous Time ◽  
Quantum Random Walks ◽  
Time Quantum ◽  
Mixing Property ◽  
Temporal Standard Deviation

This work deals with both instantaneous uniform mixing property and temporal standard deviation for continuous-time quantum random walks on circles in order to study their fluctuations comparing with discrete-time quantum random walks, and continuous- and discrete-time classical random walks.

Laser-Diode-Based Mode-Shape Measurement System for Very-High-Frequency Quartz Resonators

1995 ◽  
Vol 34 (Part 1, No. 1) ◽  
pp. 216-217 ◽  
Author(s):  
Yasuaki Watanabe ◽  
Hitoshi Sekimoto ◽  
Yoshimasa Oomura
Keyword(s):  
Laser Diode ◽  
Mode Shape ◽  
Measurement System ◽  
High Frequency ◽  
Shape Measurement ◽  
Very High Frequency ◽  
Quartz Resonators ◽  
Very High
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