import tkinter as tk
from tkinter import ttk, messagebox, filedialog
import json
import os
import math
import numpy as np
import copy
class OpticalSystem:
def __init__(self):
self.surfaces = [] # 存储光学表面对象
self.entrance_pupil_diameter = None # 入瞳直径 (mm)
self.entrance_pupil_position = None # 入瞳位置 (相对第一个面顶点) (mm)
self.object_infinite = True # 物在无穷远
self.field_angle = None # 半视场角 (度)
self.object_distance = None # 物距 (有限远) (mm)
self.object_height = None # 物高 (有限远) (mm)
self.aperture_angle = None # 孔径角 (有限远) (度)
self.light_type = "d" # 色光类型，默认d光
# 计算结果存储
self.results = {
"focal_length": None, # 焦距 f'
"ideal_image_distance": None, # 理想像距 l'
"actual_image_position": None, # 实际像位置
"image_principal_plane": None, # 像方主面位置 lH'
"exit_pupil_distance": None, # 出瞳距 lp'
"ideal_image_height": None, # 理想像高 y0'
"spherical_aberration": None, # 球差
"longitudinal_chromatic": None, # 位置色差
"tangential_field_curvature": None, # 子午场曲 xt'
"sagittal_field_curvature": None, # 弧矢场曲 xs'
"astigmatism": None, # 像散 Δxts'
"actual_image_height": None, # 实际像高
"relative_distortion": None, # 相对畸变
"absolute_distortion": None, # 绝对畸变
"lateral_chromatic": None, # 倍率色差
"tangential_coma": None # 子午慧差
}
class Surface:
def __init__(self, r=float('inf'), d=0.0, nd=1.0, vd=0.0):
self.r = r # 曲率半径 (mm)
self.d = d # 厚度/间隔 (mm)
self.nd = nd # d光折射率
self.vd = vd # 阿贝数
def to_dict(self):
"""将表面数据转换为字典"""
return {
"r": self.r,
"d": self.d,
"nd": self.nd,
"vd": self.vd
}
@classmethod
def from_dict(cls, data):
"""从字典创建表面对象"""
return cls(
r=data.get('r', float('inf')),
d=data.get('d', 0.0),
nd=data.get('nd', 1.0),
vd=data.get('vd', 0.0)
)
class Calculate:
EPS = 1e-5 # PA校验精度
@staticmethod
def recursion(L, U, H, surfaces, P, light_type='d'):
"""
光线追迹递归计算
:param L: 物方截距
:param U: 物方孔径角
:param H: 光线高度
:param surfaces: 光学表面列表
:param P: PA校验标志
:param light_type: 色光类型
:return: 光线路径数据
"""
# 数据初始化
snumber = len(surfaces)
sinI = 0; sinII = 0
I = 0; II = 0
UU = 0
LL = 0
L_data = [L]
LL_data = []
UU_data = [U]
I_data = []
II_data = []
PA_data = []
# 前一个面的折射率（初始为空气）
n_prev = 1.0
for i, surf in enumerate(surfaces):
# 根据色光类型选择折射率
if light_type == 'd':
n_current = surf.nd
elif light_type == 'f':
# F光折射率计算 (nd + (nf - nc)/(vd * (nf - nc)/ (nd - 1)))
n_current = surf.nd + 1/(surf.vd * (1.0/(surf.nd - 1.0)))
elif light_type == 'c':
# C光折射率计算
n_current = surf.nd - 1/(surf.vd * (1.0/(surf.nd - 1.0)))
else:
n_current = surf.nd # 默认为d光
# 计算入射角
if i == 0 and P:
# 第一面且平行光入射
sinI = H / surf.r if surf.r != 0 else 0
else:
# 普通情况
sinI = (L_data[-1] - surf.r) / surf.r * np.sin(U) if surf.r != 0 else 0
sinII = (n_prev / n_current) * sinI
I = np.arcsin(sinI)
II = np.arcsin(sinII)
I_data.append(I)
II_data.append(II)
# 计算折射后角度
UU = U + I - II
UU_data.append(UU)
# 计算折射后截距
if abs(sinII) > 1e-10: # 避免除以0
LL = surf.r + surf.r * sinII / np.sin(UU)
else:
LL = surf.r # 垂直入射
LL_data.append(LL)
UU_data.append(UU)
# PA校对法
if abs(U) > 1e-5 and abs(UU) > 1e-5: # 避免除以0
PA1 = L_data[-1] * np.sin(U) / np.cos((I - U)/2)
PA2 = LL * np.sin(UU) / np.cos((II - UU)/2)
if abs(PA1 - PA2) > Calculate.EPS and P == 0:
print(f"Warning: PA校验不通过! 表面 {i+1}: PA1={PA1:.6f}, PA2={PA2:.6f}")
PA_data.append(PA2)
else:
PA_data.append(0.0) # 无法计算PA值
# 过渡到下一个面
U = UU
if i < snumber - 1: # 最后一个面不需要过渡
L = LL - surf.d
L_data.append(L)
# 更新折射率为当前面的折射率
n_prev = n_current
return L_data, LL_data, UU_data, I_data, II_data, PA_data
@staticmethod
def calculate(system, K_eta=0.0, K_W=0.0):
"""
计算某一孔径、视场光线在逐个面的(L,U)坐标数据
:param system: OpticalSystem对象
:param K_eta: 孔径取点系数 (0-1)
:param K_W: 视场取点系数 (0-1)
:return: 光线路径数据
"""
# 初始化(L,U)坐标列表
L0 = []
L1 = []
U= []
I0 = []
I1 = []
PA = []
A = system.entrance_pupil_diameter / 2 # 入瞳半径
eta = K_eta * A # 实际像高系数
# 物在无穷远且光线与光轴平行时的情形
if (system.object_infinite and K_W == 0):
h0 = K_eta * A
L0, L1, U, I0, I1, PA = Calculate.recursion(
0, 0, h0, system.surfaces, 1, system.light_type
)
else:
if (system.object_infinite):
U = -K_W * system.field_angle * np.pi / 180 # 转换为弧度
L = system.entrance_pupil_position + eta / np.tan(U)
elif (system.field_angle == 0):
# 有限远物距
L = system.object_distance
LP = system.entrance_pupil_position
U = np.arcsin(K_eta * A/np.sqrt(A**2 + Lp**2))
elif( system.field_angle != 0):
Lp = system.entrance_pupil_position #第一面到入瞳的距离
y = K_W * system.field_angle #物方线视场
U = np.arctan((y-eta)/(Lp+system.object_distance ))
L = Lp + eta/((y-eta)/(Lp+system.object_distance ))
L0,L1,U, I0, I1, PA = Calculate.recursion(L, U, 0, system.surfaces, 0, system.light_type)
return L0, L1, U, I0, I1, PA
@staticmethod
def calculate_focal_length(system):
"""计算焦距"""
# 计算近轴光线
temp_system = copy.deepcopy(system)
temp_system.object_infinite = True
L0 = Calculate.calculate(temp_system,1e-20,0)[0]
L1 = Calculate.calculate(temp_system,1e-20,0)[1]
L0_product = L1_product = L0F_product = L1F_product = L0C_product = L1C_product = 1
for i in range(len(L0)-1):
L0_product = L0_product * L0[i+1]
for i in range(len(L1)):
L1_product = L1_product * L1[i]
#利用正切计算法计算焦距
ff = L1_product/L0_product
#计算像方焦点和主点位置
l_F = L1[-1]
l_H = ff - l_F
return ff, l_H
以上是一段代码，下面是另一段代码import numpy as np
import openpyxl as pyxl
class Surface:
'''
Surface结构体
变量含：曲率半径(radius), 厚度(thickness),
物方折射率及像方折射率(nd0, nF0, nC0, nd1, nF1, nC1),
半通光孔径(semi_dia) (物在无穷远时代表视场角)
'''
radius = 0
thickness = 0
nd0 = 0
nF0 = 0
nC0 = 0
nd1 = 0
nF1 = 0
nC1 = 0
semi_dia = 0
def __init__(self, _radius, _thickness, _nd1, _nF1, _nC1, _semi_dia):
self.radius = _radius
self.thickness = _thickness
self.nd1 = _nd1
self.nF1 = _nF1
self.nC1 = _nC1
self.semi_dia = _semi_dia
def read_excel(input_file_name = 'input.xlsx'):
"""
作用: 读取输入表中的物面、镜面、入瞳、像面数据
输入: 同一目录下的文件名，或指定文件路径。缺省默认为'input.xlsx'
输出: object; lens[ ]数组，元素是每面数据; entrance_pupil; image
"""
wb = pyxl.load_workbook(input_file_name)
ws = wb['Sheet1']
temp = ws.iter_rows()
print(temp)
parameter = []
for row in ws.rows:
for cell in row:
parameter.append(cell.value)
i = 0
objdata = []
lensdata = []
imgdata = []
entrance_pupil = []
"""
作用：
首先略过输入表的列标题，读取物面信息，
再逐面读取光学面信息，
最后读取像面信息；
"""
for i in range(len(parameter)):
if(i >= 14 and i < 21):
objdata.append(parameter[i])
elif(i >= 21 and i < len(parameter)-7):
lensdata.append(parameter[i])
elif(i >= len(parameter)-7):
imgdata.append(parameter[i])
lensnumber = int(len(lensdata) / 7)
object = Surface(objdata[1], objdata[2], objdata[3], objdata[4], objdata[5], objdata[6])
lens = []
for i in range(lensnumber-1):
lens.append(Surface(lensdata[i*7+1], lensdata[i*7+2], lensdata[i*7+3], lensdata[i*7+4], lensdata[i*7+5], lensdata[i*7+6]))
lens[i].nd0 = parameter[(i+2)*7+3]
lens[i].nF0 = parameter[(i+2)*7+4]
lens[i].nC0 = parameter[(i+2)*7+5]
#读取光阑信息
entrance_pupil = Surface(lensdata[(lensnumber-1)*7+1], lensdata[(lensnumber-1)*7+2], lensdata[(lensnumber-1)*7+3], lensdata[(lensnumber-1)*7+4],\
lensdata[(lensnumber-1)*7+5], lensdata[(lensnumber-1)*7+6])
image = Surface(imgdata[1], imgdata[2], imgdata[3], imgdata[4], imgdata[5], imgdata[6])
return object, lens, entrance_pupil, image
def write_excel(data1 = [], data2 = [], data3 = [], data4 = [], data5 = [], data6 = [], filename = 'output.xlsx'):
"""
作用: 写EXCEL
输入: 共38个数据，分为
data1: f', l', lH', lp', y0', y0, 0.707', xt', xs', delta_x', F光近轴像位置, C光近轴像位置; 共12个数据
data2: 全孔径的 d光像点, F光像点, C光像点, 球差, 位置色差; 共5个数据
data3: 0.707孔径的 d光像点, F光像点, C光像点, 球差, 位置色差; 共5个数据
data4: 0孔径位置色差; 共1个数据
data5: 全视场的 全孔径子午彗差, 0.7孔径子午彗差, d光实际像高, F光实际像高, C光实际像高, 绝对畸变, 相对畸变, 倍率色差; 共8个数据
data6: 0.707视场的 全孔径子午彗差, 0.7孔径子午彗差, d光实际像高, F光实际像高, C光实际像高, 绝对畸变, 相对畸变, 倍率色差; 共8个数据
filename: 输出文件名
"""
wb = pyxl.Workbook()
ws = wb.active
label1 = ['f\'', 'l\'', 'lH\'', 'lp\'', 'y0\'', 'y0, 0.707\'', 'xt\'', 'xs\'', 'delta_x\'', 'F光近轴像位置', 'C光近轴像位置']
for i in range(len(label1)):
ws.cell(row = 1, column = i+1, value = label1[i])
ws.cell(row = 2, column = i+1, value = data1[i])
ws.merge_cells('A4:E4')
ws['A4'] = '轴上点全孔径d、F、C光'
label_DFC = ['d光像点', 'F光像点', 'C光像点', '球差', '位置色差']
for i in range(len(label_DFC)):
ws.cell(row = 5, column = i+1, value = label_DFC[i])
ws.cell(row = 6, column = i+1, value = data2[i])
ws.merge_cells('A8:E8')
ws['A8'] = '轴上点0.7孔径d、F、C光'
for i in range(len(label_DFC)):
ws.cell(row = 9, column = i+1, value = label_DFC[i])
ws.cell(row = 10, column = i+1, value = data3[i])
ws['A12'] = '轴上点0孔径位置色差'
ws['A13'] = data4[0]
ws.merge_cells('A15:H15')
ws['A15'] = '全视场'
label3 = ['全孔径子午彗差', '0.7孔径子午彗差', 'd光实际像高', 'F光实际像高', 'C光实际像高', '绝对畸变', '相对畸变', '倍率色差']
for i in range(len(label3)):
ws.cell(row = 16, column = i+1, value = label3[i])
ws.cell(row = 17, column = i+1, value = data5[i])
ws.merge_cells('A19:H19')
ws['A19'] = '0.7视场'
for i in range(len(label3)):
ws.cell(row = 20, column = i+1, value = label3[i])
ws.cell(row = 21, column = i+1, value = data6[i])
for c in range(1, 12): # 注意，列序数从1开始，但必须转变为A\B等字母
w = pyxl.utils.get_column_letter(c) # 把列序数转变为字母
ws.column_dimensions[w].width = 15
wb.save(filename)
'''
---L、U计算模块---
包含：
Calc(...), 给定孔径系数、视场系数、物面、镜面、入瞳信息，光线类型，利用迭代递推模块进行中间计算，返回各面L、U、I、PA信息。
'''
def Calc(K_eta, K_W, object, lens, pupil, image, raytype):
"""
作用：计算某一孔径、视场光线在逐个面的(L,U)坐标数据
输入：K_eta为孔径取点系数，K_W为视场取点系数
"""
#初始化(L,U)坐标列表
L0 = []
L1 = []
U = []
I0 = []
I1 = []
PA = []
A = pupil.semi_dia #入瞳半径
eta = K_eta * A #像高
#物在无穷远且光线与光轴平行时的情形
if(object.thickness == None and K_W == 0):
h0 = K_eta * pupil.semi_dia
L0, L1, U, I0, I1, PA = lens_recursion(0, 0, h0, lens, raytype, 1)
#其余情形 -> 转化为轴上点在有限远处
else:
if((object.thickness == None and K_W != 0)):
U = -K_W * object.semi_dia * np.pi/180
L = pupil.thickness + eta/np.tan(U)
elif(object.semi_dia == 0):
L = -object.thickness
U = np.arcsin(K_eta * A/np.sqrt(A**2 + Lp**2))
elif(object.semi_dia != 0):
Lp = pupil.thickness #第一面到入瞳的距离
y = K_W * object.semi_dia #物方线视场
U = np.arctan((y-eta)/(Lp+object.thickness))
L = Lp + eta/((y-eta)/(Lp+object.thickness))
L0, L1, U, I0, I1, PA = lens_recursion(L, U, 0, lens, raytype, 0)
return L0, L1, U, I0, I1, PA
'''
---迭代递推模块---
包含：
lens_recursion(...), 给定入射光线L、U，对各镜面进行光线追迹并返回各面L、U数据
astigmatism_recursion(...), 给定各面L、U、I、PA参数，求子午场曲，弧矢场曲，像散
'''
EPS = 1e-5 #PA校验精度
def lens_recursion(L, U, H, lens, raytype, isParallel):
"""
函数作用: 给定轴上光线入射初值, 对每个镜面进行递推
输入: 初始物方截距(L)、物方倾斜角(U)、镜面数据(lens)、光线类型(raytype = 'd', 'F', 'C')
是否平行于主光轴(isParallel, 1平行, 0倾斜)
输出: 光线经过每面镜面后的L, L', U', I, I', PA数组
"""
snumber = len(surface)
recursion = 0
sinI = 0; sinII = 0
I = 0; II = 0
UU = 0
LL = 0
L_data = [L]
LL_data = []
UU_data = [U]
I_data = []
II_data = []
PA_data = []
if(raytype == 'd'): #d光，折射率取nd
for recursion in range(lensnumber):
if(recursion == 0 and isParallel):
sinI = H / lens[recursion].radius
else:
sinI = (L - lens[recursion].radius) / lens[recursion].radius * np.sin(U)
sinII = lens[recursion].nd0 / lens[recursion].nd1 * sinI
if(np.abs(sinI) < 1 and np.abs(sinII) < 1):
I = np.arcsin(sinI); II = np.arcsin(sinII)
I_data.append(I); II_data.append(II)
UU = U + I - II
LL = lens[recursion].radius + lens[recursion].radius * sinII / np.sin(UU)
LL_data.append(LL); UU_data.append(UU)
#PA校对法
PA1 = L * np.sin(U) / np.cos((I-U)/2)
PA2 = LL * np.sin(UU) / np.cos((II-UU)/2)
if(np.abs(PA1-PA2) > EPS and isParallel == 0):
print("Recursion not right.")
print(f'PA1 = {PA1}, PA2 = {PA2}')
PA_data.append(PA2)
#过渡公式
U = UU
L = LL - lens[recursion].thickness
#舍去最后一个过渡的物方截距
if(recursion != lensnumber - 1):
L_data.append(L)
if(raytype == 'F'): #F光，折射率取nF
for recursion in range(lensnumber):
if(recursion == 0 and isParallel):
sinI = H / lens[recursion].radius
else:
sinI = (L - lens[recursion].radius) / lens[recursion].radius * np.sin(U)
sinII = lens[recursion].nF0 / lens[recursion].nF1 * sinI
if(np.abs(sinI) < 1 and np.abs(sinII) < 1):
I = np.arcsin(sinI); II = np.arcsin(sinII)
I_data.append(I); II_data.append(II)
UU = U + I - II
LL = lens[recursion].radius + lens[recursion].radius * sinII / np.sin(UU)
LL_data.append(LL); UU_data.append(UU)
#PA校对法
PA1 = L * np.sin(U) / np.cos((I-U)/2)
PA2 = LL * np.sin(UU) / np.cos((II-UU)/2)
if(np.abs(PA1-PA2) > EPS and isParallel == 0):
print("Recursion not right.")
print(f'PA1 = {PA1}, PA2 = {PA2}')
PA_data.append(PA2)
#过渡公式
U = UU
L = LL - lens[recursion].thickness
#舍去最后一个过渡的物方截距
if(recursion != lensnumber - 1):
L_data.append(L)
if(raytype == 'C'): #C光，折射率取nC
for recursion in range(lensnumber):
if(recursion == 0 and isParallel):
sinI = H / lens[recursion].radius
else:
sinI = (L - lens[recursion].radius) / lens[recursion].radius * np.sin(U)
sinII = lens[recursion].nC0 / lens[recursion].nC1 * sinI
if(np.abs(sinI) < 1 and np.abs(sinII) < 1):
I = np.arcsin(sinI); II = np.arcsin(sinII)
I_data.append(I); II_data.append(II)
UU = U + I - II
LL = lens[recursion].radius + lens[recursion].radius * sinII / np.sin(UU)
LL_data.append(LL); UU_data.append(UU)
#PA校对法
PA1 = L * np.sin(U) / np.cos((I-U)/2)
PA2 = LL * np.sin(UU) / np.cos((II-UU)/2)
if(np.abs(PA1-PA2) > EPS and isParallel == 0):
print("Recursion not right.")
print(f'PA1 = {PA1}, PA2 = {PA2}')
PA_data.append(PA2)
#过渡公式
U = UU
L = LL - lens[recursion].thickness
#舍去最后一个过渡的物方截距
if(recursion != lensnumber - 1):
L_data.append(L)
#print(f'LEN_DATA\n{len(L_data)}, {len(LL_data)}, {len(UU_data)}, {len(I_data)}, {len(II_data)}, {len(PA_data)}')
return L_data, LL_data, UU_data, I_data, II_data, PA_data
def astigmatism_recursion(L_data, LL_data, UU_data, I_data, II_data, PA_data, lens, raytype, isParallel):
"""
函数作用: 求像散, 场曲
输入: 由lens_recursion算得的各参数
输出: 子午场曲(xt), 弧矢场曲(xs), 像散(delta_x)
"""
lensnumber = len(lens)
for recursion in range(lensnumber):
if(raytype == 'd'):
x = PA_data[recursion] ** 2 / (2 * lens[recursion].radius)
#求t、s初值
if(recursion == 0 and isParallel == 0):
t = s = (L_data[0] - x) / np.cos(UU_data[0])
if(recursion == 1 and isParallel == 1):
t = s = (L_data[1] - x) / np.cos(UU_data[1])
temp_tt = (lens[recursion].nd1 * np.cos(II_data[recursion]) - lens[recursion].nd0 * np.cos(I_data[recursion]))\
/ lens[recursion].radius + lens[recursion].nd0 * np.cos(I_data[recursion]) ** 2 / t
tt = 1 / temp_tt * lens[recursion].nd1 * np.cos(II_data[recursion]) ** 2 #t'
temp_ss = (lens[recursion].nd1 * np.cos(II_data[recursion]) - lens[recursion].nd0 * np.cos(I_data[recursion]))\
/ lens[recursion].radius + lens[recursion].nd0 / s
ss = 1 / temp_ss * lens[recursion].nd1 #s'
if(recursion < lensnumber-1):
#过渡公式
xx = PA_data[recursion + 1] ** 2 / (2 * lens[recursion+1].radius) #x(i+1)
D = (lens[recursion].thickness - x + xx) / np.cos(UU_data[recursion+1])
t = tt - D
s = ss - D
if(recursion == lensnumber-1):
#最后一面
lt = tt * np.cos(UU_data[recursion + 1]) + x
ls = ss * np.cos(UU_data[recursion + 1]) + x
xt = lt - LL_data[-1]
xs = ls - LL_data[-1]
delta_x = xt - xs
if(raytype == 'C'):
x = PA_data[recursion] ** 2 / (2 * lens[recursion].radius)
#求t、s初值
if(recursion == 0 and isParallel == 0):
t = s = (L_data[0] - x) / np.cos(UU_data[0])
if(recursion == 1 and isParallel == 1):
t = s = (L_data[1] - x) / np.cos(UU_data[1])
temp_tt = (lens[recursion].nC1 * np.cos(II_data[recursion]) - lens[recursion].nC0 * np.cos(I_data[recursion]))\
/ lens[recursion].radius + lens[recursion].nC0 * np.cos(I_data[recursion]) ** 2 / t
tt = 1 / temp_tt * lens[recursion].nC1 * np.cos(II_data[recursion]) ** 2 #t'
temp_ss = (lens[recursion].nC1 * np.cos(II_data[recursion]) - lens[recursion].nC0 * np.cos(I_data[recursion]))\
/ lens[recursion].radius + lens[recursion].nC0 / s
ss = 1 / temp_ss * lens[recursion].nC1 #s'
if(recursion < lensnumber-1):
#过渡公式
xx = PA_data[recursion + 1] ** 2 / (2 * lens[recursion+1].radius) #x(i+1)
D = (lens[recursion].thickness - x + xx) / np.cos(UU_data[recursion+1])
t = tt - D
s = ss - D
if(recursion == lensnumber-1):
#最后一面
lt = tt * np.cos(UU_data[recursion + 1]) + x
ls = ss * np.cos(UU_data[recursion + 1]) + x
xt = lt - LL_data[recursion]
xs = ls - LL_data[recursion]
delta_x = xt - xs
if(raytype == 'F'):
x = PA_data[recursion] ** 2 / (2 * lens[recursion].radius)
#求t、s初值
if(recursion == 0 and isParallel == 0):
t = s = (L_data[0] - x) / np.cos(UU_data[0])
if(recursion == 1 and isParallel == 1):
t = s = (L_data[1] - x) / np.cos(UU_data[1])
temp_tt = (lens[recursion].nF1 * np.cos(II_data[recursion]) - lens[recursion].nF0 * np.cos(I_data[recursion]))\
/ lens[recursion].radius + lens[recursion].nF0 * np.cos(I_data[recursion]) ** 2 / t
tt = 1 / temp_tt * lens[recursion].nF1 * np.cos(II_data[recursion]) ** 2 #t'
temp_ss = (lens[recursion].nF1 * np.cos(II_data[recursion]) - lens[recursion].nF0 * np.cos(I_data[recursion]))\
/ lens[recursion].radius + lens[recursion].nF0 / s
ss = 1 / temp_ss * lens[recursion].nF1 #s'
if(recursion < lensnumber-1):
#过渡公式
xx = PA_data[recursion + 1] ** 2 / (2 * lens[recursion+1].radius) #x(i+1)
D = (lens[recursion].thickness - x + xx) / np.cos(UU_data[recursion+1])
t = tt - D
s = ss - D
if(recursion == lensnumber-1):
#最后一面
lt = tt * np.cos(UU_data[recursion + 1]) + x
ls = ss * np.cos(UU_data[recursion + 1]) + x
xt = lt - LL_data[recursion]
xs = ls - LL_data[recursion]
delta_x = xt - xs
return xt, xs, delta_x
'''
---数据处理模块---
包含：
data_processing(...), 总输出函数，给定物面、镜面、入瞳、像面信息，向主函数返回所有待求量
Calc_ff(...), 计算计算像方焦距、焦点位置、主点位置
Calc_ll(...), 计算像距、像高、像散、场曲
Calc_lp(...), 计算出瞳距
Calc_sp(...), 计算全孔径和0.7孔径时的实际像距、球差、位置色差
Calc_coma(...), 计算全视场、0.7视场、正负全孔径、正负0.7孔径的彗差、两个视场dFC光实际像高，绝对畸变、相对畸变、倍率色差
'''
def data_processing(object, lens, pupil, image):
'''
共输出38个数据
data1：f', l', lH', lp', y0', y0, 0.707', xt', xs', delta_x', F光近轴像位置, C光近轴像位置；共12个数据
data2：轴上点全孔径的 d光像点, F光像点, C光像点, 球差, 位置色差；共5个数据
data3：轴上点0.707孔径的 d光像点, F光像点, C光像点, 球差, 位置色差；共5个数据
data4：轴上点0孔径位置色差；共1个数据
data5：全视场的 全孔径子午彗差, 0.7孔径子午彗差, d光实际像高, F光实际像高, C光实际像高, 绝对畸变, 相对畸变, 倍率色差；共8个数据
data6：0.707视场的 全孔径子午彗差, 0.7孔径子午彗差, d光实际像高, F光实际像高, C光实际像高, 绝对畸变, 相对畸变, 倍率色差；共8个数据
'''
oo = 1e-20 #定义近轴小量
ff, l_H = Calc_ff(object, lens, pupil, image, oo)
ll, ll_F, ll_C, y0, y0_707, xt, xs, delta_x = Calc_ll(object, lens, pupil, image, oo, l_H, ff)
l_p = Calc_lp(lens, pupil, image, oo)
data1 = [ff, ll, l_H, l_p, y0, y0_707, xt, xs, delta_x, ll_F, ll_C]
data2, data3, data4 = Calc_sp(object, lens, pupil, image, ll, oo)
data5, data6 = Calc_coma(object, lens, pupil, image, oo, y0, y0_707)
return data1, data2, data3, data4, data5, data6
#1、计算像方焦距、焦点位置、主点位置
def Calc_ff(object, lens, pupil, image, oo):
#定义一个近轴无穷远物面
object_ = Surface(0, None, object.nd1, object.nF1, object.nC1, None)
#计算平行入射的近轴光线
L0 = Calc(oo, 0, object_, lens, pupil, image, 'd')[0]
L1 = Calc(oo, 0, object_, lens, pupil, image, 'd')[1]
#计算L0,L1的乘积
L0_product = L1_product = L0F_product = L1F_product = L0C_product = L1C_product = 1
for i in range(len(L0)-1):
L0_product = L0_product * L0[i+1]
for i in range(len(L1)):
L1_product = L1_product * L1[i]
#利用正切计算法计算焦距
ff = L1_product/L0_product
#计算像方焦点和主点位置
l_F = L1[-1]
l_H = ff - l_F
return ff, l_H
#2、计算像距和像高，像散及场曲
def Calc_ll(object, lens, pupil, image, oo, l_H, ff):
#计算物面入射的近轴光线
if(object.thickness == None):
ll = ff-l_H
else:
L0 = Calc(oo, 0, object, lens, pupil, image, 'd')[0]
L1 = Calc(oo, 0, object, lens, pupil, image, 'd')[1]
ll = L1[-1] #最后一个光学面的像距
#计算像高
if(object.thickness == None):
y0 = ff * np.tan(object.semi_dia * np.pi/180)
y0_707 = ff * np.tan(0.70 * object.semi_dia * np.pi/180)
else:
A = object.semi_dia
y0 = A
for i in range(len(L1)):
n0 = lens[i].nd0
n1 = lens[i].nd1
l0 = L0[i]
l1 = L1[i]
beta = (n0*l1)/(n1*l0) #理想的横向放大倍率
y0 = y0 * beta
y0_707 = 0.70 * y0
if(object.thickness == None and object.semi_dia == None):
isparallel = 1
else:
isparallel = 0
#计算C光和F光的近轴像距
L1F = Calc(oo, 0, object, lens, pupil, image, 'F')[1]
ll_F = L1F[-1] #F光
L1C = Calc(oo, 0, object, lens, pupil, image, 'C')[1]
ll_C = L1C[-1] #C光
#计算场曲及像散
L0, L1, U, I0, I1, PA = Calc(0, 1, object, lens, pupil, image, 'd')
if(object.thickness == None):
L0[0] = 10**15
else:
L0[0] = -object.thickness
L1 = Calc(oo, 0, object, lens, pupil, image, 'd')[1]
xt, xs, delta_x = astigmatism_recursion(L0, L1, U, I0, I1, PA, lens, 'd', isparallel)
return ll, ll_F, ll_C, y0, y0_707, xt, xs, delta_x
#3、计算出瞳距
def Calc_lp(lens, pupil, image, oo):
#定义入瞳面
object_ = Surface(pupil.radius, pupil.thickness, pupil.nd1, pupil.nC1, pupil.nF1, pupil.semi_dia)
L1 = Calc(oo, 0, object_, lens, pupil, image, 'd')[1]
l_p = L1[-1]
return l_p
"""
4、计算全孔径和0.7孔径时的实际像距、球差、位置色差
变量：SPAB代表球差spherical aberration，PCA代表位置色差Position Chromatic Aberration
"""
def Calc_sp(object, lens, pupil, image, ll, oo):
L1d1 = Calc(1, 0, object, lens, pupil, image, 'd')[1]
ll_d1 = L1d1[-1]
SPAB1 = ll_d1 - ll
L1d707 = Calc(0.70, 0, object, lens, pupil, image, 'd')[1]
ll_d707 = L1d707[-1]
SPAB707 = ll_d707 - ll
L1F1 = Calc(1, 0, object, lens, pupil, image, 'F')[1]
ll_F1 = L1F1[-1]
L1C1 = Calc(1, 0, object, lens, pupil, image, 'C')[1]
ll_C1 = L1C1[-1]
L1F707 = Calc(0.70, 0, object, lens, pupil, image, 'F')[1]
ll_F707 = L1F707[-1]
L1C707 = Calc(0.70, 0, object, lens, pupil, image, 'C')[1]
ll_C707 = L1C707[-1]
L1F0 = Calc(oo, 0, object, lens, pupil, image, 'F')[1]
ll_F0 = L1F0[-1]
L1C0 = Calc(oo, 0, object, lens, pupil, image, 'C')[1]
ll_C0 = L1C0[-1]
PCA1 = ll_F1 - ll_C1
PCA707 = ll_F707 - ll_C707
PCA0 = ll_F0 - ll_C0
data2 = [ll_d1, ll_F1, ll_C1, SPAB1, PCA1]
data3 = [ll_d707, ll_F707, ll_C707, SPAB707, PCA707]
data4 = [PCA0]
return data2, data3, data4
#5、计算全视场、0.7视场、正负全孔径、正负0.7孔径的彗差、两个视场dFC光实际像高，绝对畸变、相对畸变、倍率色差
def Calc_coma(object, lens, pupil, image, oo, y0, y0_707):
#轴上物点，求理想像面
LL_perfect_d = Calc(oo, 0, object, lens, pupil, image, 'd')[1]
'''获取实际光线数据'''
#全视场，全孔径数据
LL_upper_d = Calc(1, -1, object, lens, pupil, image, 'd')[1]
UU_upper_d = Calc(1, -1, object, lens, pupil, image, 'd')[2]
LL_central_d = Calc(0, -1, object, lens, pupil, image, 'd')[1]
UU_central_d = Calc(0, -1, object, lens, pupil, image, 'd')[2]
LL_down_d = Calc(-1, -1, object, lens, pupil, image, 'd')[1]
UU_down_d = Calc(-1, -1, object, lens, pupil, image, 'd')[2]
#全视场，0.7孔径数据
LL_upper_d_1_07 = Calc(0.7, -1, object, lens, pupil, image, 'd')[1]
UU_upper_d_1_07 = Calc(0.7, -1, object, lens, pupil, image, 'd')[2]
LL_central_d_1_07 = Calc(0, -1, object, lens, pupil, image, 'd')[1]
UU_central_d_1_07 = Calc(0, -1, object, lens, pupil, image, 'd')[2]
LL_down_d_1_07 = Calc(-0.7, -1, object, lens, pupil, image, 'd')[1]
UU_down_d_1_07 = Calc(-0.7, -1, object, lens, pupil, image, 'd')[2]
#0.7视场，全孔径数据
LL_upper_d_07_1 = Calc(1, -0.7, object, lens, pupil, image, 'd')[1]
UU_upper_d_07_1 = Calc(1, -0.7, object, lens, pupil, image, 'd')[2]
LL_central_d_07_1 = Calc(0, -0.7, object, lens, pupil, image, 'd')[1]
UU_central_d_07_1 = Calc(0, -0.7, object, lens, pupil, image, 'd')[2]
LL_down_d_07_1 = Calc(-1, -0.7, object, lens, pupil, image, 'd')[1]
UU_down_d_07_1 = Calc(-1, -0.7, object, lens, pupil, image, 'd')[2]
#0.7视场，0.7孔径数据
LL_upper_d_07_07 = Calc(0.7, -0.7, object, lens, pupil, image, 'd')[1]
UU_upper_d_07_07 = Calc(0.7, -0.7, object, lens, pupil, image, 'd')[2]
LL_central_d_07_07 = Calc(0, -0.7, object, lens, pupil, image, 'd')[1]
UU_central_d_07_07 = Calc(0, -0.7, object, lens, pupil, image, 'd')[2]
LL_down_d_07_07 = Calc(-0.7, -0.7, object, lens, pupil, image, 'd')[1]
UU_down_d_07_07 = Calc(-0.7, -0.7, object, lens, pupil, image, 'd')[2]
'''计算彗差'''
#全视场、全孔径彗差
y_upper = (LL_perfect_d[-1] - LL_upper_d[-1]) * np.tan(UU_upper_d[-1])
y_down = (LL_perfect_d[-1] - LL_down_d[-1]) * np.tan(UU_down_d[-1])
y_central = (LL_perfect_d[-1] - LL_central_d[-1]) * np.tan(UU_central_d[-1])
COMA1 = (y_upper + y_down) / 2 - y_central
#全视场，0.7孔径彗差
y_upper_1_07 = (LL_perfect_d[-1] - LL_upper_d_1_07[-1]) * np.tan(UU_upper_d_1_07[-1])
y_down_1_07 = (LL_perfect_d[-1] - LL_down_d_1_07[-1]) * np.tan(UU_down_d_1_07[-1])
y_central_1_07 = (LL_perfect_d[-1] - LL_central_d_1_07[-1]) * np.tan(UU_central_d_1_07[-1])
COMA2 = (y_upper_1_07 + y_down_1_07) / 2 - y_central_1_07
#0.7视场，全孔径
y_upper_07_1 = (LL_perfect_d[-1] - LL_upper_d_07_1[-1]) * np.tan(UU_upper_d_07_1[-1])
y_down_07_1 = (LL_perfect_d[-1] - LL_down_d_07_1[-1]) * np.tan(UU_down_d_07_1[-1])
y_central_07_1 = (LL_perfect_d[-1] - LL_central_d_07_1[-1]) * np.tan(UU_central_d_07_1[-1])
COMA3 = (y_upper_07_1 + y_down_07_1) / 2 - y_central_07_1
#0.7视场，0.7孔径
y_upper_07_07 = (LL_perfect_d[-1] - LL_upper_d_07_07[-1]) * np.tan(UU_upper_d_07_07[-1])
y_down_07_07 = (LL_perfect_d[-1] - LL_down_d_07_07[-1]) * np.tan(UU_down_d_07_07[-1])
y_central_07_07 = (LL_perfect_d[-1] - LL_central_d_07_07[-1]) * np.tan(UU_central_d_07_07[-1])
COMA4 = (y_upper_07_07 + y_down_07_07) / 2 - y_central_07_07
'''计算实际像高'''
#全视场dFC光实际像高
LL_central_C = Calc(0, -1, object, lens, pupil, image, 'C')[1]
UU_central_C = Calc(0, -1, object, lens, pupil, image, 'C')[2]
LL_central_F = Calc(0, -1, object, lens, pupil, image, 'F')[1]
UU_central_F = Calc(0, -1, object, lens, pupil, image, 'F')[2]
y_d_1 = (LL_perfect_d[-1] - LL_central_d[-1]) * np.tan(UU_central_d[-1])
y_C_1 = (LL_perfect_d[-1] - LL_central_C[-1]) * np.tan(UU_central_C[-1])
y_F_1 = (LL_perfect_d[-1] - LL_central_F[-1]) * np.tan(UU_central_F[-1])
#0.7视场dFC光实际像高
LL_central_C_07_1 = Calc(0, -0.7, object, lens, pupil, image, 'C')[1]
UU_central_C_07_1 = Calc(0, -0.7, object, lens, pupil, image, 'C')[2]
LL_central_F_07_1 = Calc(0, -0.7, object, lens, pupil, image, 'F')[1]
UU_central_F_07_1 = Calc(0, -0.7, object, lens, pupil, image, 'F')[2]
y_d_07 = (LL_perfect_d[-1] - LL_central_d_07_1[-1]) * np.tan(UU_central_d_07_1[-1])
y_C_07 = (LL_perfect_d[-1] - LL_central_C_07_1[-1]) * np.tan(UU_central_C_07_1[-1])
y_F_07 = (LL_perfect_d[-1] - LL_central_F_07_1[-1]) * np.tan(UU_central_F_07_1[-1])
'''计算倍率色差'''
MCA1 = (y_F_1 - y_C_1) #全视场倍率色差
MCA07 = (y_F_07 - y_C_07) #0.7视场倍率色差
'''计算绝对畸变，相对畸变'''
DIS1 = y_d_1 - y0
rel_DIS1 = DIS1 / y0
DIS07 = y_d_07 - y0_707
rel_DIS07 = DIS07 / y0_707
#全视场的 全孔径子午彗差, 0.7孔径子午彗差, d光实际像高, F光实际像高, C光实际像高, 绝对畸变, 相对畸变, 倍率色差
data5 = [COMA1, COMA2, y_d_1, y_F_1, y_C_1, DIS1, rel_DIS1, MCA1]
#0.707视场的 全孔径子午彗差, 0.7孔径子午彗差, d光实际像高, F光实际像高, C光实际像高, 绝对畸变, 相对畸变, 倍率色差
data6 = [COMA3, COMA4, y_d_07, y_F_07, y_C_07, DIS07, rel_DIS07, MCA07]
return data5, data6这两段代码计算逻辑应该是一样的，为什么第一段代码得不到正确的答案
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