6.1 Temperature fields and thermal lensing

6.1.1 Coating absorption

In case of dissipation of light power on the reflecting surface, we find the complex solution (see Equation (3.18View Equation))

∑ [ ] T (ω, r,z) = 𝜖P-(ω) ps -----cosh-(κsz-)-----− -----sinh(κsz)------ J0 (ksr ). (6.6 ) 2πKa s ξssinh ηs + χ cosh ηs ξscosh ηs + χsinh ηs
In turn, the dynamic thermal lens is
dn 𝜖P (ω) ∑ 1 Z (ω,r) = dT---πK-- psξ-(ξ--+-χ-cothη-)J0 (ksr). (6.7 ) s s s s

6.1.2 Bulk absorption

For internal dissipation, we have, in the same way,

βP (ω )∑ p [ χcosh (κ z) ] T (ω,r,z) = ------- --s 1 − -------------s------ J0(ksr) (6.8 ) πK s ζ2s ξs sinh ηs + χcosh ηs
with the resulting thermal lens
dn βhP (ω )∑ p [ 2aχ ∕h ] Z (ω,r) = ----------- -s2 1 − ----------------- J0(ksr). (6.9 ) dT πK s ξs ξs(ξs + χ coth ηs)

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