"" So it means the capacitor polarity will be positive on the right hand sided during unit step response (switch close) and the polarity will be reverse when switch open ( natural response). Is it right? """
well, nearly.
be aware that the circuit's operation is cyclic not just a one time switch closure.
the link to circuit has disappeared from my screen so i'll abswer from my memory of the circuit.
forget about unit step: this circuit is best understood the old fashioned way, using your imagination to push charge around it.
Start with switch open, all currents and voltages are zero.
Capacitor has no charge so there's no voltage across it.
Now close switch. Hold your mind at that instant.
Capacitor cannnot accept charge any so voltage across it stays zero.
Reason it cannot accept any charge is there's no way for charge to get out of it.
Charge could enter from left if there were a way out - but look--
---charge can't go down through doide, that's backward
---charge can't go to right toward load resistor because inductor won't allow it (remember we are locked at one instant of time)
so both sides of capacitor are lifted to Vin.
Now let your mind unfreeze time,,,,
current begins to rise in both of the inductors..
in left inductor it increases and just draws current from the supply
in right inductor it begins carrying charge toward load and begins slowly discharging our capacitor
so cap will get slightly reverse charged on first switch closure.
left side is Vin, right side is a teeny bit less.
Note top of first inductor(on left) is at +Vin
now open switch----
immediately current stops flowing out of supply
but left inductor won't let its current stop immediately, remember it's an inductor
so its polarity reverses to push the same amount of current it was pulling an instant ago.
that means left side of capacitor is yanked from +Vin to negative something substantial,,
,, this next step is tricky repeat it until it works for you
---right side of capacitor tries to follow left side but it can't go negative because of diode -- dode passes current holding cap's right side near zero
so the inductor on left pushes current into capacitor and that leaves capacitor charged substabtially negative on left and positive on right(even zero is positive enough).
we have replaced a small badkward(+ on left) charge on capacitor with a large one in proper direction, + on right
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now close switch
left side of cap is yanked back up to +Vin
Cap's right side jumps up same number of volts leaving it lots higher than Vin
and current flows from cap into second inductor towards load but at higher voltage than Vin
and the cycle repeats until somebody stops it.
they didnt show the circuitry that contols timing of switch
and they didn't give values for inductors and capacitor
some designer must size those parts and select timing for the load he wants to handle.
Such a circuit would be real handy for lighting LED's that require 3 volts from a 1.5 volt battery
or charging an 18 volt computer battery from a car cigarette lighter plug
but i think he point of the exercise was to get you workng circuts in your head
a must for any electronics guy's "bag of tricks"
practice until you can make this one go
then if you decide on a Vin, Vout and current you could sart sizing parts and timing.
old jim