Improved double angle complex rotation QRD-RLS

2011 ◽  
Author(s):  
Qiang Gao ◽  
Robert W. Stewart
Keyword(s):  
Complex Rotation

Perturbative calculation of the ac Stark effect by the complex rotation method

1991 ◽  
Vol 43 (11) ◽  
pp. 6272-6283 ◽  
Author(s):  
Liwen Pan ◽  
K. T. Taylor ◽  
Charles W. Clark
Keyword(s):  
Stark Effect ◽  
Perturbative Calculation ◽  
Complex Rotation ◽  
Rotation Method ◽  
Ac Stark Effect

Radar imaging for targets with complex rotation based on phase history decomposition

2012 ◽  
Vol 25 (3) ◽  
pp. 425-445 ◽  
Author(s):  
He Sisan ◽  
Zhou Jianxiong ◽  
Zhao Huining ◽  
Fu Qiang
Keyword(s):  
Radar Imaging ◽  
Complex Rotation

Design of 3 DOF Haptic Master Mechanisms Featuring Bi-Directional Clutch/Brake for MIS

2011 ◽  
Vol 378-379 ◽  
pp. 692-696
Author(s):  
Jong Seok Oh ◽  
Seung Gu Lim ◽  
Phuong Bac Nguyen ◽  
Seung Bok Choi
Keyword(s):  
Minimally Invasive Surgery ◽  
Minimally Invasive ◽  
Invasive Surgery ◽  
Rotational Motion ◽  
Design Parameters ◽  
Complex Rotation ◽  
Compact Size ◽  
Er Fluid ◽  
Master Device

This study presents the configuration and modeling of an electro-rheological (ER) fluid-based haptic master device for minimally invasive surgery (MIS). The haptic master device can produce a 3-DOF rotational motion which is realized by ER bi-directional clutch/brake for X and Y axes and ER brake for Z axis. In order to transmit a complex rotation from the handle of the device to three rotary movements, a gimbal structure is adopted. Before manufacturing the proposed haptic master, two case of design parameters are detemined from the viewpoint of compact size and extensive workspace, respectively.

scholarly journals On Rotor calculus, I

1966 ◽  
Vol 6 (4) ◽  
pp. 402-423 ◽  
Author(s):  
H. A. Buchdahl
Keyword(s):  
Vector Space ◽  
Lorentz Transformation ◽  
Real World ◽  
Three Dimensional ◽  
Linear Vector ◽  
Complex Rotation ◽  
Starting Point ◽  
Complex Linear ◽  
Definition Of ◽  
Linear Vector Space

SummaryIt is known that to every proper homogeneous Lorentz transformation there corresponds a unique proper complex rotation in a three-dimensional complex linear vector space, the elements of which are here called “rotors”. Equivalently one has a one-one correspondence between rotors and self- dual bi-vectors in space-time (w-space). Rotor calculus fully exploits this correspondence, just as spinor calculus exploits the correspondence between real world vectors and hermitian spinors; and its formal starting point is the definition of certain covariant connecting quantities τAkl which transform as vectors under transformations in rotor space (r-space) and as tensors of valence 2 under transformations in w-space.

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