Patent ID: 7174267

Claim:
A method for calculating at least one of a temperature of a solid body or a time required for a change of temperature of the solid body, comprising the steps of: i) defining a differential equation dT/dt=bâˆ’cT wherein T is the temperature of a solid body t is time b is per unit time temperature change Î”T EA caused by energy absorption T EA , cT is the per unit time temperature change Î”T WA caused by conductance of heat T WA , ii) converting the differential equation into a dimensionless differential equation: dÎ¸/dÏ„= 1âˆ’Î¸, wherein Î¸ is dimensionless temperature Ï„ is dimensionless time, iii) determining and programming a computer with a function Î¸(Ï„) or its inverse function Ï„(Î¸) that is a solution to the dimensionless differential equation, and compiling a matrix A =(a ij ), with i=1, 2; j Îµ N; a 1j =Ï„ j and a 2j =Î¸ j , for which Î¸(Ï„) at the values Ï„ j makes: Î¸ j =Î¸(Ï„ j ) and Ï„ (Î¸) at the values Î¸ j makes Ï„ j =Ï„(Î¸ j ); iv) in the computer, electronically determining at least one of the temperature T by a) calculating Ï„ for t, b) calculating Î¸ using the values contained in A , and c) calculating T for the values calculated in step d) for Î¸, or the time t by d) calculating Î¸ for T, e) calculating Ï„ using the values contained in A , and f) calculating t for the values calculated in step e) for Ï„; and (v) controlling said energy absorption T EA of said solid body dependent on said at least one of said temperature T or said time t.