Calculation of mismatched ladder filters

Dear Colleagues,

When an electric circuit was mismatched itself, or under the load, or
in the signal source impedance, such circuits are known to be
incalculable exactly. We have developed the original, powerful,
highly-effective, comprehensive method for such circuits calculation,
much more effective than the two-port method being unable to study the
wave processes in mismatched ladder filters (as we have it proved).
Our method is based on our original Dynamical Electromechanical
Analogy DEMA combined with more general methodology to obtain exact
analytical solutions for elastic vibration systems. This method offers
to calculate ladder filters having any number of sections,
transmission lines having any length and heterogeneities inside the
line, under the load of any type and with any type of the source
interior impedance. By this method we obtain the 3D amplitude and
phase-frequency characteristics of any parameter of a line (input
impedance, output characteristics, transmission coefficients etc.),
where as the third dimension we can give any other variable parameter
of the system. Our method perfectly works also for lines composed of
both distributed and lumped parameters. Especially are interesting the
lines whose each element is in its turn a resonance subsystem. Our
method successfully solves the problems of such kind too. Our basic
calculation technology has been acknowledged in EU as showing unique
results and published as the Technology of the week, "Understanding
vibration":

http://dbs.cordis.lu/fep-cgi/srchidadb?ACTION=D&SESSION=&DOC=1&TBL=EN_OFFR&RCN=EN_RCN:1158&CALLER=OFFR_TM_EN

You can find more information of this methodology in our basic paper
on this subject,

"The features of oscillation pattern in mismatched finite electric
ladder filters"

http://angelfire.lycos.com/la3/selftrans/v2_1/contents.html#load

published in our journal "SELF Transactions", volume 2 (2002), issue 1

The proposed method is basic for the advanced exact calculation of any
complex electric circuits, in that number:

1.      Calculation of branched high-frequency feeder systems
2.      Calculation of branched networks and transmission lines
3.      Calculation of wide-range distributed and lumped delay lines
4.      Dynamical mechanical processes simulation with the help of analogy
with electric ladder filters

The complex of problems solvable by this method proves its power and
opens the prospects. We have checked this method experimentally. As
you can make sure comparing the calculation curves in Fig. 6,

http://angelfire.lycos.com/la3/selftrans/v2_1/load44/load44.html

and experimental curves in Fig. 10, 

http://angelfire.lycos.com/la3/selftrans/v2_1/load46/load46.html

the calculation diagrams fully correspond to those experimental.
 
I hope, it will be interesting for many of you, and look forward to
hear your opinion.

You are welcomed to join us in developing this new technology. 

Sergey Karavashkin

Head Laboratory SELF 
http://angelfire.lycos.com/la3/SELFlab/index.html
[EMAIL PROTECTED]