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numerical integral solve for laser energy,S which is a function of z,t?

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How to solve the spatiotemporal integral for the absorbed laser energy,S(all the other values J,L,tp are known)??
  댓글 수: 2
Dyuman Joshi
Dyuman Joshi 2023년 11월 25일
Solve what? I don't see an equation. Just an expression/function.
John D'Errico
John D'Errico 2023년 11월 25일
I don't even see an integral. The answer is therefore 42.

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Walter Roberson
Walter Roberson 2023년 11월 25일
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)
S(z, t) = 
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)
spatiotemporal_integral = 
simplify(spatiotemporal_integral, 'steps', 20)
ans = 

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