I have a set of data that is in the form

{{\[Theta], \[Phi], r},....}

Or to make it simpler:

data={{0, 0, 3.3102}, {0, 2, 3.3102}, ..., {10, 90, 4.084}}

Alternatively, a data set can be generated by using:

data=Flatten[Table[{th,phi,RandomReal[100]},{th,0,45,2},{phi,0,90,2}],1];

Now I want to plot this data in a polar plot to get something equivalent to:

Where the text in the picture referring to different crystal planes is not important. To generate a uniform density plot, there should be some interpolation between data points but I guess that is not necessary as I can always do that in preprocessing of the data points. Now this is somewhat easily generated by using python, however I am looking for a way to generate such a plot in mathematica in attempts to keep layout consistency between my other plots.

I can easily generate a ListDensityPlot using:

ListDensityPlot[data]

That looks like (with some legends manipulation and graphics options tweaked to make it look "more presentable"):

I managed to convert the rectangular plot to a circular one using transfromation of coordinates i.e.

N[{#[[1]] Cos[#[[2]]], #[[1]] Sin[#[[2]]], #[[3]]}] & /@data

Not a 100% sure that this is correct to be honest, and looking into it but nonetheless, This gives me:

But I still don't know how to add the grid lines properly, the custom legend i.e. Azimuthal Angle I guess I can always add afterwards by hand but it would be appreciated to add it while plotting too

I have a set of data that is in the form

{{\[Theta], \[Phi], r},....}

Or to make it simpler:

data={{0, 0, 3.3102}, {0, 2, 3.3102}, ..., {10, 90, 4.084}}

Alternatively, a data set can be generated by using:

data=Flatten[Table[{th,phi,RandomReal[100]},{th,0,45,2},{phi,0,90,2}],1];

Now I want to plot this data in a polar plot to get something equivalent to:

Where the text in the picture referring to different crystal planes is not important. To generate a uniform density plot, there should be some interpolation between data points but I guess that is not necessary as I can always do that in preprocessing of the data points. Now this is somewhat easily generated by using python, however I am looking for a way to generate such a plot in mathematica in attempts to keep layout consistency between my other plots.

I can easily generate a ListDensityPlot using:

ListDensityPlot[data]

That looks like (with some legends manipulation and graphics options tweaked to make it look "more presentable"):

I managed to convert the rectangular plot to a circular one using transfromation of coordinates i.e.

N[{#[[1]] Cos[#[[2]]], #[[1]] Sin[#[[2]]], #[[3]]}] & /@data

Not a 100% sure that this is correct to be honest, but I guess it is the right approach i.e. convert coordinates

But I still don't know how to add the grid lines properly, the custom legend i.e. Azimuthal Angle I guess I can always add afterwards by hand but it would be appreciated to add it while plotting too

I have a set of data that is in the form

{{r, \[Theta], \[Phi]},....}

Or to make it simpler:

data={{0, 0, 3.3102}, {0, 2, 3.3102}, ..., {10, 90, 4.084}}

Alternatively, a data set can be generated by using:

data=Flatten[Table[{th,phi,RandomReal[100]},{th,0,45,2},{phi,0,90,2}],1];

Now I want to plot this data in a polar plot to get something equivalent to:

Where the text in the picture referring to different crystal planes is not important. To generate a uniform density plot, there should be some interpolation between data points but I guess that is not necessary as I can always do that in preprocessing of the data points. Now this is somewhat easily generated by using python, however I am looking for a way to generate such a plot in mathematica in attempts to keep layout consistency between my other plots.

I can easily generate a ListDensityPlot using:

ListDensityPlot[data]

That looks like (with some legends manipulation and graphics options tweaked to make it look "more presentable"):

Is there a way to conform this data to the picture shown above? I tried finding something similar but have turned up short until now. I am certain I am overlooking something extremely simply. Any help would be greatly appreciated.

I have a set of data that is in the form

{{\[Theta], \[Phi], r},....}

Or to make it simpler:

data={{0, 0, 3.3102}, {0, 2, 3.3102}, ..., {10, 90, 4.084}}

Alternatively, a data set can be generated by using:

data=Flatten[Table[{th,phi,RandomReal[100]},{th,0,45,2},{phi,0,90,2}],1];

Now I want to plot this data in a polar plot to get something equivalent to:

Where the text in the picture referring to different crystal planes is not important. To generate a uniform density plot, there should be some interpolation between data points but I guess that is not necessary as I can always do that in preprocessing of the data points. Now this is somewhat easily generated by using python, however I am looking for a way to generate such a plot in mathematica in attempts to keep layout consistency between my other plots.

I can easily generate a ListDensityPlot using:

ListDensityPlot[data]

That looks like (with some legends manipulation and graphics options tweaked to make it look "more presentable"):

I managed to convert the rectangular plot to a circular one using transfromation of coordinates i.e.

N[{#[[1]] Cos[#[[2]]], #[[1]] Sin[#[[2]]], #[[3]]}] & /@data

Not a 100% sure that this is correct to be honest, and looking into it but nonetheless, This gives me:

But I still don't know how to add the grid lines properly, the custom legend i.e. Azimuthal Angle I guess I can always add afterwards by hand but it would be appreciated to add it while plotting too