According to the formula, the shape factor of the Gaussian distributed heat or factor B appears to be constant. So factor B can be found with the help of Boundary conditions.
I obtained B factor by solving the formula. To calculate the B factor, the Q(R0) must be calculated.
The laser beam output is in the form of Gaussian waves. Q is the intensity of the laser beam. Therefore, finding a relationship for the intensity of laser Gaussian beams can be helpful. Chapter 3 of The 'Fundamentals of Photonics, 2nd Edition' , written by Bahaa E. A. Saleh, examines the relationships of Gaussian rays of light in detail. In relation 3.1-12 , the second edition of the book, the intensity of the Gaussian laser beam is expressed. In relation 3.1-12 , W are the beam width. The W can be calculated with the help of Equations 3.1-8 and 3.1-11. According to Figure 3.1-2, the Z0 is where the intensity of the Gaussian beam is halved. This way you can find the Z0.