I want to use FDTD to design meta-lenses of different types and I have successfully done so for simple systems where equations are available for the desired phase profile. My question is, how can I obtain the phase profile for something more complex that cannot be defined by an equation? For example if I wanted to project the letter "H" or a random shape how could I obtain the desired phase profile? Are there any available software that are suitable for phase profile generation based on the image you want to project?

In a lumerical FDTD example they mention using OpticStudio for such cases but no further information on the method is provided.

"The first step is to define the target phase profile for the metalens. For the most common lens types, such as spherical or cylindrical elements, we can use the known analytical solutions. However, for more complex systems, where analytical solutions don’t exist or would be hard to calculate, we can design the ideal phase mask in OpticStudio using the ray tracing and optimization capabilities .https://optics.ansys.com/hc/en-us/articles/360042097313"

Thank you

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