Dear FractInt  members .
 
 
The diode is a very basic electronic component that exhibits a non-linear behavior .
 When used in a circuit an iterative approach is necessary to find the varying currents
and voltages .
  To model the diode , to a reasonable accuracy , the diode  equation can be used :
 
       I = Is ( exp(Vd /(n Vt))  -  1 )
 
I is the diode current,
IS is the reverse bias saturation current .
VD is the voltage across the diode,
VT is the thermal voltage,
and n is the emission coefficient , also known as the ideality factor.
The emission coefficient n varies from about 1 to 2
 
   Refer  Wiki  Diode  Equation  .
 
    When placed in a circuit containing reactive components , inductor ,
  capacitor and appropriate resistive values the parameters in the exponential
  function become complex , with the next value being dependent upon the
  last :
 
     I(n+1) = Is  ( exp((Vd + r I(n) )/(n Vt))  -  1 )
 
  Where r [ impedance ] and  I(n) [ current ] might be complex .
   I(n) represents the previous current through the diode .
 
   An iterated map might therefore use the real and imaginary components of
 I(0) as (x.y) coordinates  .
   The result might be compared with datasheets or spice modelling   .
 
   Why attempt this ; because a better , more interesting insight might be 
 obtained .
 
   Has anyone on this list delved into this  ?