A certain semiconductor laser diode has a length of 0.5 mm and has a high reflection coating on the back surface of the chip. The maximum current that can be applied to the device is 100 mA, at which point the gain coefficient is 5000 m-1. (i) Given that the natural reflectivity of the laser chip is 30%, show that the laser will operate even when the front surface is uncoated. (ii) Estimate the threshold current of the laser when it is operating with an uncoated front surface, stating clearly any assumptions you make.

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A certain semiconductor laser diode has a length of 0.5 mm and has a high reflection
coating on the back surface of the chip. The maximum current that can be applied to the
device is 100 mA, at which point the gain coefficient is 5000 m-1.
(i) Given that the natural reflectivity of the laser chip is 30%, show that the laser will
operate even when the front surface is uncoated.
(ii) Estimate the threshold current of the laser when it is operating with an uncoated
front surface, stating clearly any assumptions you make.
Transcribed Image Text:A certain semiconductor laser diode has a length of 0.5 mm and has a high reflection coating on the back surface of the chip. The maximum current that can be applied to the device is 100 mA, at which point the gain coefficient is 5000 m-1. (i) Given that the natural reflectivity of the laser chip is 30%, show that the laser will operate even when the front surface is uncoated. (ii) Estimate the threshold current of the laser when it is operating with an uncoated front surface, stating clearly any assumptions you make.
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