# How to Plot Polar Scalar Fields

I am trying to plot the following two equations (where $$k_y=k\sin(\theta)$$):

$$F(k_y,k_z)=e^{-ika\sin(\theta)}+e^{ika\sin(\theta)}$$ $$F(k_y,k_z)=e^{-ika\sin(\theta)}+e^{ika\sin(\theta)}+e^{-ika\sqrt{2}\sin(\theta)}+e^{ika\sqrt{2}\sin(\theta)}+2$$

I've tried rewriting them as the following, but it hasn't helped me figure it out:

$$F(k_y,k_z)=2\cos(ka\sin(\theta))$$ $$F(k_y,k_z)=2\cos(ka\sin(\theta))+2\cos(ka\sqrt{2}\sin(\theta))+2$$

They are scalar fields, but in terms of polar coordinates. How would I go about plotting these?

(If it's helpful - these are the equations I have come up with for two separate 2-D diffraction patterns.)

• please provide them in mma code Apr 28 at 18:02
• What is kz, k and a? Does F only depend on ky and not on kz? Apr 28 at 19:16
• Welcome to the Mathematica Stack Exchange. Providing Mathematica code that can be copied, pasted, executed and studied is considered the first step at this site as it leads to a focused interaction and a higher probability of problem resolution.
– Syed
Apr 29 at 3:02

ka = 10