Time-domain nature of group delay

doi:10.1088/1674-1056/24/10/100301

中国物理B ›› 2015, Vol. 24 ›› Issue (10): 100301-100301.doi: 10.1088/1674-1056/24/10/100301

Time-domain nature of group delay

王建武^{a b}, 冯正和^a

a Department of Electronic Engineering, Tsinghua University, Beijing 100084, China;
b Air-force Air-born Academy, Guilin 541003, China

收稿日期:2015-01-04 修回日期:2015-04-13 出版日期:2015-10-05 发布日期:2015-10-05
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2013CB329002) and the National Natural Science Foundation of China (Grant No. 61371012).

Time-domain nature of group delay

Wang Jian-Wu (王建武)^{a b}, Feng Zheng-He (冯正和)^a

a Department of Electronic Engineering, Tsinghua University, Beijing 100084, China;
b Air-force Air-born Academy, Guilin 541003, China

Received:2015-01-04 Revised:2015-04-13 Online:2015-10-05 Published:2015-10-05
Contact: Wang Jian-Wu E-mail:wangjianwuradar@163.com
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2013CB329002) and the National Natural Science Foundation of China (Grant No. 61371012).

摘要/Abstract

摘要： The characteristic of group delay is analyzed based on an electronic circuit, and its time-domain nature is studied with time-domain simulation and experiment. The time-domain simulations and experimental results show that group delay is the delay of the energy center of the amplitude-modulated pulse, rather than the propagation delay of the electromagnetic field. As group velocity originates from the definition of group delay and group delay is different from the propagation delay, the superluminality or negativity of group velocity does not mean the superluminal or negative propagation of the electromagnetic field.

关键词: energy center, group delay, time domain, superluminality

Abstract: The characteristic of group delay is analyzed based on an electronic circuit, and its time-domain nature is studied with time-domain simulation and experiment. The time-domain simulations and experimental results show that group delay is the delay of the energy center of the amplitude-modulated pulse, rather than the propagation delay of the electromagnetic field. As group velocity originates from the definition of group delay and group delay is different from the propagation delay, the superluminality or negativity of group velocity does not mean the superluminal or negative propagation of the electromagnetic field.

Key words: energy center, group delay, time domain, superluminality

中图分类号: (Special relativity)

03.30.+p

04.30.Nk (Wave propagation and interactions) 41.20.Jb (Electromagnetic wave propagation; radiowave propagation)

王建武, 冯正和. Time-domain nature of group delay[J]. 中国物理B, 2015, 24(10): 100301-100301.

Wang Jian-Wu (王建武), Feng Zheng-He (冯正和). Time-domain nature of group delay[J]. Chin. Phys. B, 2015, 24(10): 100301-100301.

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Time-domain nature of group delay

Time-domain nature of group delay

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