"""Distortion Analysis
This module provides a distortion analysis for optical systems.
Kramer Harrison, 2024
"""
from __future__ import annotations
from typing import TYPE_CHECKING
import matplotlib.pyplot as plt
import numpy as np
import optiland.backend as be
from .base import BaseAnalysis
if TYPE_CHECKING:
from matplotlib.axes import Axes
from matplotlib.figure import Figure
[docs]
class Distortion(BaseAnalysis):
"""Represents a distortion analysis for an optic.
Args:
optic (Optic): The optic object to analyze.
wavelengths (str or list, optional): The wavelengths to analyze.
Defaults to 'all'.
num_points (int, optional): The number of points to generate for the
analysis. Defaults to 128.
distortion_type (str, optional): The type of distortion analysis.
Defaults to 'f-tan'.
Attributes:
optic (Optic): The optic object being analyzed.
wavelengths (list): The wavelengths being analyzed.
num_points (int): The number of points generated for the analysis.
distortion_type (str): The type of distortion analysis.
data (list): The generated distortion data.
Methods:
view(figsize=(7, 5.5)): Visualizes the distortion analysis.
"""
def __init__(
self,
optic,
wavelengths: str | list = "all",
num_points: int = 128,
distortion_type: str = "f-tan",
):
self.num_points = num_points
self.distortion_type = distortion_type
super().__init__(optic, wavelengths)
[docs]
def view(
self,
fig_to_plot_on: Figure | None = None,
figsize: tuple[float, float] = (7, 5.5),
) -> tuple[Figure, Axes]:
"""Visualize the distortion analysis.
Args:
fig_to_plot_on (plt.Figure, optional): The figure to plot on.
If None, a new figure will be created. Defaults to None.
figsize (tuple, optional): The size of the figure to create.
Defaults to (7, 5.5).
Returns:
tuple: The current figure and its axes.
"""
is_gui_embedding = fig_to_plot_on is not None
if is_gui_embedding:
current_fig = fig_to_plot_on
current_fig.clear()
ax = current_fig.add_subplot(111)
else:
current_fig, ax = plt.subplots(figsize=figsize)
ax.axvline(x=0, color="k", linewidth=1, linestyle="--")
field = be.linspace(1e-10, self.optic.fields.max_field, self.num_points)
field_np = be.to_numpy(field)
for k, wp in enumerate(self.wavelengths):
dist_k_np = be.to_numpy(self.data[k])
ax.plot(dist_k_np, field_np, label=f"{wp.value:.4f} µm")
ax.set_xlabel("Distortion (%)")
ax.set_ylabel("Field")
xlims = ax.get_xlim()
max_abs_lim = max(np.abs(xlims))
ax.set_xlim(-max_abs_lim, max_abs_lim)
ax.set_ylim(0, None)
ax.legend(bbox_to_anchor=(1.05, 0.5), loc="center left")
ax.grid(True)
current_fig.tight_layout()
if is_gui_embedding and hasattr(current_fig, "canvas"):
current_fig.canvas.draw_idle()
return current_fig, ax
def _generate_data(self):
"""Generate data for analysis.
This method generates the distortion data to be used for plotting.
Returns:
list: A list of distortion data points.
"""
Hx = be.zeros(self.num_points)
Hy = be.linspace(1e-10, 1, self.num_points)
data = []
for wp in self.wavelengths:
wavelength = wp.value
self.optic.trace_generic(Hx=Hx, Hy=Hy, Px=0, Py=0, wavelength=wavelength)
yr = self.optic.surfaces.y[-1, :]
const = yr[0] / (be.tan(1e-10 * be.radians(self.optic.fields.max_field)))
if self.distortion_type == "f-tan":
yp = const * be.tan(Hy * be.radians(self.optic.fields.max_field))
elif self.distortion_type == "f-theta":
yp = const * Hy * be.radians(self.optic.fields.max_field)
else:
raise ValueError(
'''Distortion type must be "f-tan" or
"f-theta"'''
)
data.append(100 * (yr - yp) / yp)
return data