Applying the joint Wigner time-frequency distribution to characterization of ultra-short optical dissipative solitary pulses in the actively mode-locked semiconductor laser with an external single-mode fiber cavity

2010 ◽  
Author(s):  
Alexandre S. Shcherbakov ◽  
P. Moreno Zarate ◽  
Joaquin Campos Acosta ◽  
Yurij V. Il'n ◽  
Il'ya S. Tarasov
Keyword(s):  
Semiconductor Laser ◽  
Frequency Distribution ◽  
Single Mode ◽  
Single Mode Fiber ◽  
Time Frequency ◽  
Time Frequency Distribution

Characterization of the train-average time–frequency parameters inherent in the low-power picosecond optical pulses generated by the actively mode-locked semiconductor laser with an external single-mode fiber cavity

Optik ◽  
2011 ◽  
Vol 122 (2) ◽  
pp. 136-141 ◽  
Author(s):  
Alexandre S. Shcherbakov ◽  
A.Yu. Kosarsky ◽  
Pedro Moreno Zarate ◽  
Joaquin Campos Acosta ◽  
Yurij V. Il’in ◽  
...  
Keyword(s):  
Low Power ◽  
Semiconductor Laser ◽  
Single Mode ◽  
Single Mode Fiber ◽  
Optical Pulses ◽  
Time Frequency

scholarly journals Time-frequency partitions for the Gelfand triple $(S_0,L^2,S_0')$

2006 ◽  
Vol 98 (1) ◽  
pp. 81 ◽  
Author(s):  
Monika Dörfler ◽  
Hans G. Feichtinger ◽  
Karlheinz Gröchenig
Keyword(s):  
Frequency Distribution ◽  
Localization Operators ◽  
Weyl Transform ◽  
Time Frequency ◽  
Similar Characterization ◽  
Time Frequency Localization ◽  
Frequency Behavior ◽  
Gelfand Triple ◽  
Time Frequency Distribution

We give a new characterization of the Gelfand triple of function spaces in $(S_0, L^2, S_0')$ by means of a family of time-frequency localization operators. The localization operators are defined by the short-time Fourier transform and determine the local time-frequency behavior, whereas the global time-frequency distribution is characterized by a sequence space norm. We also show that the alternative time-frequency localization method with the Weyl transform fails to yield a similar characterization of time-frequency distribution.

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