Characterization and theoretical analysis of second-order intermodulation distortion of InGaAs/InP p-i-n photodiode modules for fiber-optic CATV

1997 ◽  
Vol 15 (4) ◽  
pp. 636-641 ◽  
Author(s):  
Y. Kuhara ◽  
Y. Fujimura ◽  
N. Nishiyama ◽  
Y. Michituji ◽  
H. Terauchi ◽  
...  
Keyword(s):  
Theoretical Analysis ◽  
Fiber Optic ◽  
Second Order ◽  
Intermodulation Distortion

scholarly journals Probing the Locally Generated Even and Odd Order Nonlinearity in Y–Ba–Cu–O and Tl–Ba–Ca–Cu–O (2212) Microwave Resonators Around <img src="/images/tex/19586.gif" alt="T_{\rm C}">

2013 ◽  
Vol 23 (3) ◽  
pp. 9000105-9000105 ◽  
Author(s):  
Brooke Jeries ◽  
Sean Cratty ◽  
S Remillard
Keyword(s):  
Meissner Effect ◽  
Second Order ◽  
Intermodulation Distortion ◽  
Coaxial Cable ◽  
Superconducting Resonators ◽  
Third Order ◽  
Odd Order ◽  
Similar Temperature Dependence ◽  
Similar Temperature ◽  
Lower Temperature

Spatial scanning of the synchronously generated second- and third-order intermodulation distortion in superconducting resonators uncovers local nonlinearity hot spots, and possible time reversal symmetry breaking, using a simple probe fashioned from coaxial cable. It is clear that even and odd order nonlinearity in these samples do not share the same physical origins, because their temperature and static magnetic field dependences are quite different. 2nd order intermodulation distortion remains strong in these measurements as the temperature continues to drop belowTCto 77 K even though the 3rd order peaks nearTCand becomes smaller at lower temperature as predicted by the nonlinear Meissner effect. Both YBa2Cu3O7and Tl2Ba2CaCu2O8resonators of the same structure exhibit similar temperature dependence in the second order with second order remaining high at lower temperature. The YBa2Cu3O7sample has lower third-order intermodulation distortion with a pronounced peak atTC.

scholarly journals THEORETICAL ANALYSIS OF WAVELENGTH CONVERSION FOR CASCADING SECOND-ORDER NONLINE ARITIES IN SILICA FIBER

2000 ◽  
Vol 49 (9) ◽  
pp. 1792
Author(s):  
LIU XUE-MING ◽  
LIU LING ◽  
SUN XIAO-HAN ◽  
ZHANG MING-DE
Keyword(s):  
Theoretical Analysis ◽  
Wavelength Conversion ◽  
Second Order ◽  
Silica Fiber

Design, Simulation And Theoretical Analysis Of Butterworth And Chebyshev Second Order Active Filters

2005 ◽  
Author(s):  
A. M. Swidan ◽  
S. M. El‐Ghanam ◽  
H. A. Ashry ◽  
F. A. S. Soliman ◽  
W. Abdel‐Basit
Keyword(s):  
Theoretical Analysis ◽  
Second Order ◽  
Active Filters

On the Convexity Correction Approximation in Pricing Volatility Swaps and VIX Futures

2018 ◽  
Vol 14 (03) ◽  
pp. 383-401
Author(s):  
Song-Ping Zhu ◽  
Guang-Hua Lian
Keyword(s):  
Theoretical Analysis ◽  
Fourth Order ◽  
Taylor Expansion ◽  
Second Order ◽  
Approximation Technique ◽  
Third Order ◽  
Numerical Examples ◽  
Taylor Expansions ◽  
Vix Futures ◽  
Validity Condition

Convexity correction is a well-known approximation technique used in pricing volatility swaps and VIX futures. However, the accuracy of the technique itself and the validity condition of this approximation have hardly been addressed and discussed in the literature. This paper shows that, through both theoretical analysis and numerical examples, this type of approximations is not necessarily accurate and one should be very careful in using it. We also show that a better accuracy cannot be achieved by extending the convexity correction approximation from a second-order Taylor expansion to third-order or fourth-order Taylor expansions. We then analyze why and when it deteriorates, and provide a validity condition of applying the convexity correction approximation. Finally, we propose a new approximation, which is an extension of the convexity correction approximation, to achieve better accuracies.

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