I am calculating dynamic hyperpolarizability values for a set of organic derivatives using DFT. I want to plot harmonic light intensity as a function of polarization angle as reported by several authors. How can do this? Please help me.
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Dr. Renjith R
Bashar Salih
Define the intensity equation for the harmonic light. For example, if the electric field of the harmonic light is given by E = E0 cos(ωt), the intensity can be calculated as I = (1/2)ε0c|E|^2, where ε0 is the electric constant, c is the speed of light, and |E|^2 is the magnitude squared of the electric field. Write the intensity equation in terms of the polarization angle Ψ. The polarization angle is the angle between the polarization direction of the light and a reference axis. For example, if the polarization direction is along the x-axis, then Ψ = 0. Use trigonometric identities to express the intensity equation in terms of cos(Ψ) and sin(Ψ). For example, if the polarization direction is along an axis that makes an angle φ with the x-axis, then E = E0 cos(ωt - φ), and I = (1/2)ε0c|E|^2 = (1/2)ε0cE0^2 [cos^2(ωt - φ)]. Plot the intensity as a function of the polarization angle Ψ using a two-dimensional representation. This can be done by plotting I as a function of cos(Ψ) or sin(Ψ), depending on the form of the intensity equation. Plot the intensity as a function of the polarization angle Ψ using a polar representation. This can be done by plotting I as a function of Ψ on a polar plot. The intensity values can be plotted as lines or as a color map, depending on the desired visualization.
To plot harmonic light intensity as a function of the polarization angle Ψ by two-dimensional and polar representations, you can follow these steps:
Note that the specific details of the plotting method will depend on the software or programming language being used. However, the general approach outlined above should be applicable to most cases.
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