DocumentCode :
1157667
Title :
The Physical Meaning of Compactness
Author :
Lee, H.B.
Volume :
10
Issue :
2
fYear :
1963
fDate :
6/1/1963 12:00:00 AM
Firstpage :
255
Lastpage :
261
Abstract :
A lossless twoport N, whose impedances 
, and 
possess poles at the complex frequencies 
, is considered. It is shown that the algebraic alternatives of compactness, or lack of compactness, for the 
at correspond directly to the physical alternatives of whether or not a pair of N\´s natural oscillations at the frequency 
are scaled replicas of one another throughout N. A secondary result of the paper is called the Energy Theorem. This theorem assumes that the natural oscillations of a lossless oneport have been excited by a unit impulse of current, and states that each impedance residue of the oneport is proportional to the energy stored in the corresponding one of these oscillations.
, and possess poles at the complex frequencies , is considered. It is shown that the algebraic alternatives of compactness, or lack of compactness, for the at correspond directly to the physical alternatives of whether or not a pair of N\´s natural oscillations at the frequency are scaled replicas of one another throughout N. A secondary result of the paper is called the Energy Theorem. This theorem assumes that the natural oscillations of a lossless oneport have been excited by a unit impulse of current, and states that each impedance residue of the oneport is proportional to the energy stored in the corresponding one of these oscillations.Keywords :
Bridge circuits; Capacitance; Circuit theory; Design engineering; Filtering theory; Filters; Frequency; History; Impedance; Voltage;
fLanguage :
English
Journal_Title :
Circuit Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9324
Type :
jour
DOI :
10.1109/TCT.1963.1082151
Filename :
1082151
Link To Document :
