GaAs temperature calculation induced by electrical power

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hello

I have a question.

If 10V and 100mA is injected to GaAs laser ridge size is 1mm(length), 10um(width), 5um(thickness), which temperature can be generated in the ridge?

the ridge is covered by gold for the electrical contact.

Is it possible to calculate?

I tryed to serch the wikipedia but I could't get the nice information.

so... does anybody have any good idea?
 
on Phys.org
yes I have a comsor.

but I want to calculrate roughly... by hands.

thanks your comment.