numerical integral solve for laser energy,S which is a function of z,t?
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Shahriar Shafin
on 25 Nov 2023
Commented: Shahriar Shafin
on 26 Nov 2023
How to solve the spatiotemporal integral for the absorbed laser energy,S(all the other values J,L,tp are known)??
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Accepted Answer
Walter Roberson
on 25 Nov 2023
syms J_abs L_op t_p t z
ln2 = log(sym(2));
Pi = sym(pi);
S(z,t) = 2/(sqrt(Pi/ln2)) * J_abs / (L_op * t_p) * exp(-z/L_op) * exp(-(4*ln2) * (t - 2*t_p).^2/t_p.^2)
syms z_min z_max t_min t_max real
spatiotemporal_integral = int(int(S, t, t_min, t_max), z, z_min, z_max)
simplify(spatiotemporal_integral, 'steps', 20)
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