Modeling of an inductive proximity sensor

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Hey all,
I am currently modeling an inductive proximity sensor. And the method/procedure i am following to obtain the mathematical model is given below:

When an object enters the magnetic field produced by the sensor each point in it experiences a different effect by the field. Thus by integrating the field over the volume of object covered, the eddy currents set up can thus be evaluated.

This value is then deducted from the alternating magnetic field produced. And the proportional current output is seen with respect to distance as the current is proportional to change in amplitude of the field.
Please let me know if it is correct and help me with it in any way.
Thanks,
Aravind
 
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