scholarly journals Kohärenz höherer Ordnung in der Optik und ihre Meßbarkeit / Higher-Order Coherence in Optics and Its Measurability

1973 ◽  
Vol 28 (12) ◽  
pp. 1946-1950
Author(s):  
P. Barlai
Keyword(s):  
Radiation Field ◽  
Theoretical Basis ◽  
Optical Radiation ◽  
Coherence Function ◽  
Higher Order ◽  
Far Fields ◽  
Longitudinal Modes

An experiment is proposed to demonstrate higher-order coherence in an optical radiation field. An ensemble of longitudinal modes illuminates a set of different ground glasses (diffusors). It is shown that the superposition of the far-fields emerging from the diffusors is able to give information about higher-order coherence. For the following considerations the theoretical basis is Glauber's generalized coherence function.

The Higher Order Asymptotic Fields for Plane Interfacial Crack with Physical Weak-Discontinuity

2011 ◽  
Vol 217-218 ◽  
pp. 1314-1318
Author(s):  
Yao Dai ◽  
Lei Zhang ◽  
Peng Zhang ◽  
Jun Feng Liu
Keyword(s):  
Experimental Investigation ◽  
Numerical Analysis ◽  
Asymptotic Analysis ◽  
Theoretical Basis ◽  
Engineering Application ◽  
Interfacial Crack ◽  
Higher Order ◽  
Weak Discontinuity ◽  
Displacement Method ◽  
Asymptotic Fields

The higher order discontinuous asymptotic fields which are similar to the Williams’ solutions of homogenous material are obtained by the displacement method and asymptotic analysis for a plane crack at the physical weak-discontinuous interface in non-homogeneous materials. The results provide a theoretical basis for the numerical analysis, experimental investigation and the engineering application of physical weak-discontinuous fracture.

nTH-ORDER AMPLITUDE SQUEEZING EFFECTS OF RADIATION IN MULTIPHOTON PROCESSES

2006 ◽  
Vol 20 (16) ◽  
pp. 2265-2281 ◽  
Author(s):  
DILIP KUMAR GIRI ◽  
P. S. GUPTA
Keyword(s):  
Radiation Field ◽  
Quantum Effect ◽  
Equations Of Motion ◽  
Photon Number ◽  
Zero Point ◽  
Optical Signal ◽  
Higher Order ◽  
Quantum Mechanical ◽  
Mixing Processes ◽  
Photon Process

Squeezing of the electromagnetic field is a purely quantum mechanical phenomenon and this quantum effect is expected to manifest itself in optical processes in which the nonlinear response of the system to the radiation field plays an important role. It has generated a great deal of interest in view of the possibility of reducing the noise of an optical signal below the vacuum limit i.e. zero-point oscillations. In this paper the concept of nth-order amplitude squeezing is introduced in the fundamental mode in four- and six-wave mixing processes as a generalization of the higher-order squeezing under short-time approximation based on a fully quantum mechanical approach. It established the coupled Heisenberg equations of motion involving real and imaginary parts of the quadrature operators. The condition for occurrence of nth-order squeezing is obtained from which higher-order squeezing upto n=3 are studied. Dependence of squeezing on photon number is also established. The conditions for obtaining maximum and minimum squeezing are obtained. The method of present investigation can be applied to any higher-order non-linear optical processes and the technique can also be extended for studying squeezing in any N-photon process in general. Further, nth-order squeezing of radiation in N-photon process can also be investigated. The results obtained may help in selecting a suitable process to generate optimum squeezing in the radiation field.

Coherence function analysis of the higher-order aberrations of the human eye

2006 ◽  
Vol 31 (2) ◽  
pp. 184 ◽  
Author(s):  
Karen M. Hampson ◽  
Edward A. Mallen ◽  
Christopher Dainty
Keyword(s):  
Function Analysis ◽  
Coherence Function ◽  
Higher Order ◽  
Higher Order Aberrations ◽  
Human Eye

A THEORETICAL BASIS FOR THE ANALYSIS OF LOGIX GEARS

2006 ◽  
Vol 30 (4) ◽  
pp. 511-518
Author(s):  
Liu Guran ◽  
Liu Quanhong ◽  
Zhao Dongfu ◽  
Song Deyu ◽  
C.Y. Chan
Keyword(s):  
Stress Concentration ◽  
Theoretical Basis ◽  
Higher Order ◽  
Concentration Profiles ◽  
Gear Design ◽  
Geometric Methods ◽  
Novel Approach ◽  
Tooth Surfaces ◽  
Contact Parameters ◽  
Order Contact

A novel approach to gear design to produce so-called Logix gears is based on differential geometric methods and results in higher order contact parameters, i.e., reduced stress concentration. Profiles designed in this way admit concave-to-convex mating tooth surfaces and a simple two gear set with such properties is presented as an example. Once a pair of mating gears has been configured it is then shown how to design hobbing racks to cut these gears.

The Higher Order Crack Tip Fields for Special FGM Functions

2012 ◽  
Vol 476-478 ◽  
pp. 1472-1475
Author(s):  
Yao Dai ◽  
Lei Zhang ◽  
Xiao Chong ◽  
Jun Feng Liu
Keyword(s):  
Numerical Simulation ◽  
Theoretical Basis ◽  
Superposition Principle ◽  
Crack Tip ◽  
Higher Order ◽  
Elastic Materials ◽  
Crack Tip Fields ◽  
Complex Models ◽  
Special Complex ◽  
Order Element

Superposition principle and the higher order crack tip fields for power function are used to obtain the higher order crack tip fields for several special complex models. A new effective way is provided to solve the fracture problems of different structures and special non-homogeneous elastic materials, which establishes a theoretical basis for determing stress intensity factor, numerical simulation of higher order element and experimental analysis

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