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简介 #F^0uUjq X]1Q# $b 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 o9XT_!Cwg \@8.BCWK 模型 ahUc;S:v# <i$ud&D 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 2=%R>&]* AY(z9&;6 Table 1. AZ眼睛模型的定义 $sxm MP 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. VpO+52& 2uEvu 光源 0XzrzT"& h>:eu# 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 k|r|*|8 \UEO$~Km 2R`dyg 图1. 光源和提示信息使用 =jWjUkm2 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 = }!4%.$ |=rb#z& 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 %>z)Q +oRBSAg - 图2. 字母F光源的设定方法光 05ZF>`g* C[JGt9{Y 图3. 字母F在视网膜上位置点列图 P$H9 视网膜的散射 /lb"g_ w|G4c^KH 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 [h0.k"&[ @s%!R ,3,(/%=k 图4. 视网膜朗伯散射设定 KmX?W/%R 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 v*lj>)L 6V&HlJH
EG#mNpxE 图5. 视网膜重点采样规格设定 INF}~DN] 脚本 K)&oDwk K?]c 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: ,&ld:v?~ 2PDU(R 图6. 用户对话框的创建与编辑 2_C&p6VGj 图7. 用户对话框编辑器 ;56mkP 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 M@a=|N~ 余下的脚本计算与屈光度有关的所有参数。 OaF[t*]D3 :YUQKy 分析 gCP f1z 3q)y;T\yW 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 /DxeG'O 7f_tH_( 图7. 字母F在视网膜上颜色分析 ^77X?nDz=h 脚本代码 @#1T-* d#cEAy Option Explicit 'Remove this to enable non-dimensioned variables to be used. O
<#H5/Tq &<$YR~g5j$ Dim entity As T_ENTITY }HLV'^"k Dim op As T_OPERATION d3&l!DoX Dim mat As T_MODELMATERIAL zi?G
wh~ Dim A As Double u?V
Tnsu Dim pupilDiam As Double Rdj/n : Dim eID As Long P~9y}7Q\0 Dim parID As Long *U:0c
;h Dim count As Integer S&z8-D=8k Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double TYu(;~ Dim tlens As Double, nlens As Double SadffAvSA{ Dim curv As Double, conic As Double .?dYY;P Dim ok As Long Kq&JvY^ %"=qdBuk Sub Main <d]
t{M62W .]y"04@] '用户输入对话框 R.)w
l Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 i"OY=iw-N TextBox 220,21,40,21,.TextBox1 'default: 0 "jA?s9 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 X{-901J1 OKButton 40,91,90,21 oeF0t'% CancelButton 190,91,90,21 9`|~-b Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 gK",D^6T*Y TextBox 220,49,40,21,.TextBox2 'default: 4 up
)JU [ End Dialog )^[PW&=W|x Dim dlg As UserDialog aC,?FWm ]`T*}$| ok = Dialog (dlg) 0s o27k
@z<IsAE If ok=0 Then 'cancel button was pressed WP ~]pduT Print "Execution cancelled." %C=?Xhnv End 5"^Z7+6 End If mY0FewwTy NKRI|'Y, 'Assign accommodation and pupil diameter & use defaults if field left empty 9 6j*F,{ If dlg.TextBox1 = "" Then yl UkVr
A = 0 'Default accommodation &A)u!l Ue Else bTJ l A = CDbl(dlg.TextBox1) {-.ZFUZmT End If
ZO\x|E!b nf)y_5y If dlg.TextBox2 = "" Then "Wn8}T* pupilDiam = 4 'Default pupil diameter xt=ELzu$ Else HWOOw&^< pupilDiam = CDbl(dlg.TextBox2) D?`|`Mu End If bO6LBSZx] /A"UV\H`f Print " " k:*(..!0z Print "Accommodation = " & A & " Diopters" s%Ir h;Bs Print "Pupil Diameter = " & pupilDiam & " mm" L/7YI\C2 lm\~_ 4l1 ' Calculate new parameters with accommodation \
ix&U taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ^7,`6g #@8JYzMq% Rant = 12.0 - 0.4*A 'Radius of anterior lens a~Nh6 x CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens tEjT$`6hp 0o_wy1O1, Rpost = -5.224557 + 0.2*A 'Radius of posterior lens o@W:PmKW CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens LY1dEZ-)A R~! md tlens = 3.767 + 0.04*A 'Lens thickness b5t:">wC CCp&+LRvR nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction \+VQoB/ &p_V<\(% 'Adjust parameters to account for accommodation 29kR7[k T[+~-D @ '************************************************************************* K3-Cuku 'Aqueous thickness (Position of Lens) U2HAIV8 '************************************************************************* -H9WwFk eID = FindFullName( "Geometry.Arizona Eye.Lens" ) L{uQ:;w1 GetCustomElement eID, entity P^J #;{R N)Qz:o0W parID = FindFullName( "Geometry.Arizona Eye" ) 6hAMk<kx?i M~LYq ' Delete any shift(s) in z X3l?
YA count = 0 Z[G: While GetOperationCount(eID)>count r0j+P% GetOperation eID, count, op c(r8
F[4w If op.Type="ShiftZ" Then 5KRI}f DeleteOperation eID,count Dh.pH1ZY3n count=count-1 +~f5dJyk` End If (8jQdbZU count=count+1 Y7WU4He L Wend vR?E'K3 1,Ji|&Pwf 'Set new shift in RC+`sZE9 op.Type = "ShiftZ" O~&j}WN op.val1 = taq *7G5\[gI$ op.parent = parID +hUz/G+3 AddOperation eID, op YT\.${N Print "Set aqueous humor thickness = " & taq-0.55 aa,^+^J Mv7=ZAm '************************************************************************* Q/ ^a( 'Radius and conic constant of anterior lens dA=T+u '************************************************************************* %w#8t#[,6 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 7xoq:oP-}N GetConic eID, entity, curv, conic %hV]vm Dio9'&DtC SetConic eID, entity, 1/Rant, CCant 3&"+)*/ m Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant N5|wBm>m *D:uFo,xn '************************************************************************* Lu9`(+ 'Radius and conic constant of posterior lens {D7v[P+ '************************************************************************* ZZJ<JdD eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) B
f"L;L GetConic eID, entity, curv, conic =q?s B]n tde&w=ec SetConic eID, entity, 1/Rpost, CCpost EJaGz\\ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost z-G*:DfgH #s3R4@{ '************************************************************************* ~xU\%@I\ 'Lens thickness (Position of posterior lens surface) /\d@A B^5I '************************************************************************* w*krPaT3 meArS*d parID = FindFullName( "Geometry.Arizona Eye.Lens" ) qz&?zzz; [kL`'yi ' Delete any z-shift(s) _8&a%?R@W count = 0 (;cvLop While GetOperationCount(eID)>count C jZIBMGc GetOperation eID, count, op WIYWql>* If op.Type="ShiftZ" Then ` <IaQY DeleteOperation eID,count -mqL[ h, count=count-1 RR[1mM End If Pm==m9 count=count+1 9Z
lfY1= Wend 7 p[NuU*Gg pz,iQUs_o 'Set new z-shift G}#p4\/ op.Type = "ShiftZ" ]Pf!wv op.val1 = tlens )kvrQ6 op.parent = parID ,FWsgqL{l AddOperation eID, op ;>r
E+k%_ Print "Set lens thickness = " & tlens E?cf#;2h8m 'QQa :3<x '************************************************************************* Y20T$5{# 'Lens index of refraction cNiNLwc '************************************************************************* =H/ 5 eID = FindMaterial( "Lens" ) *:8,w?Nt GetModelMaterial eID, mat IyoitIbLl
Z:.*fs5 mat.Nd = nlens y!/:1BHlm SetModelMaterial eID, mat Q+; N(\ Print "Set lens index of refraction = " & nlens &2,^CG >\'gIIs '************************************************************************* A&L2&ofV&q 'Pupil diameter +XpQ9Cd '*************************************************************************
7;$[s6$ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ujh`&GiB+ _FP'SVa}D 'Adjust pupil diameter (trimming volume inner hole) 5m9;'SF Q(/F7"m SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ,QPo%{:p Z!*k 0<Z ' Adjust pupil location to just in front of the lens R/Te;z parID = FindFullName( "Geometry.Arizona Eye" ) m*'87a9q0 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Q&8epO |J count = 0 tLzKM+Ct# While GetOperationCount(eID)>count :[?65q{ GetOperation eID, count, op i9v|*ZM" If op.Type="ShiftZ" Then _NN5e|t DeleteOperation eID,count ,nSapmg count=count-1 {)Pg N End If -~ H?R count=count+1 ~=gpn|@b Wend C(&3L[ op.Type = "ShiftZ" l09SWug op.val1 = taq-0.01 {;+9A}e op.parent = parID #BwOWra AddOperation eID, op +%?\#E QJ s7s@!~
Print "Set pupil diameter = " & pupilDiam u+qj_Ej X.[8L^ldh 'Update AZ Eye subassembly Description T4h&ly5
f eID = FindFullName( "Geometry.Arizona Eye" ) %,f(jQfg_ GetEntity eID, entity aPm2\Sq$ entity.Description = "Accommodation = " & A & "D" PZk"!I<oN SetEntity eID, entity 5E0dX3- X{8g2](z. Update
495A\8# Print "DONE!" #PQhgli b] ~ End Sub WP >VQZ& x P$\
} 如果屈光度是4,光瞳直径是4,则会输出如下数据: S=qx,<J
39 Ti$_V_ Accommodation = 4 Diopters nTCwLnX(O Pupil Diameter = 4 mm ~'0W(~Q8 Set aqueous humor thickness = 2.81 f[-$##S.~ Set anterior lens radius = 10.4 and conic constant = -2.375869 4%5 + Set posterior lens radius = -4.424557 and conic constant = -3.081019 @6%o0p9zz Set lens thickness = 3.927 .svlJSx Set lens index of refraction = 1.42672 wVkRrFJ Set pupil diameter = 4 `u$lSGl DONE! cBQ+`DXn5c MS;^@>|wj ;TulRx]EA QQ:2987619807 4nKlW_{,
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