. 2015 Oct 16;6(11):4395–4416. doi: 10.1364/BOE.6.004395

Algorithm 1.

Optimization for energy functional (8) for each iteration

Step 1: Update ϕ₁ using

\frac{\partial ϕ_{1}}{\partial t} = - \frac{\partial E_{p h y} (ϕ_{1}, ϕ_{2}; s_{1}, s_{2})}{\partial ϕ_{1}} - λ_{1} \frac{\partial E_{l o c} (ϕ_{1}, r_{1})}{\partial ϕ_{1}}

Step 2: Update ϕ₂ using

\frac{\partial ϕ_{2}}{\partial t} = - \frac{\partial E_{p h y} (ϕ_{1}, ϕ_{2}; s_{1}, s_{2})}{\partial ϕ_{2}} - λ_{2} \frac{\partial E_{l o c} (ϕ_{2}, r_{2})}{\partial ϕ_{2}} - λ_{3} \frac{\partial E_{w t u b} (ϕ_{2})}{\partial ϕ_{2}}

Step 3: Update s₁ by numerically solving (23).

Step 4: Update s₂ by numerically solving (24).