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简介 Nz77"
kC r j.X" 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。 @<jm+f"MP [[#R ry 模型 A>ve|us$ GBl[s,g[| 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。 SHYbQF2 T)I\?hqTB Table 1. AZ眼睛模型的定义 Xw#"?B(M] 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. 8og8;#mnyr 3L CT-rp 光源 B k*Rz4Oa ;nx.:f 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。 0j!xv(1 D#D55X^6* `6P2+wf1j~ 图1. 光源和提示信息使用 +MqJJuWB 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。 =)s~t|@v iR!]&Oh 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。 hD[r6c @6
a'p 图2. 字母F光源的设定方法光 8(ot<3(D D/VEl{ba- 图3. 字母F在视网膜上位置点列图 r8tW)"? 视网膜的散射 !|l7b2NEz- O^!Bc}$
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。 lbX
YWZ~7 ucJ}KMz :-WNw
n 图4. 视网膜朗伯散射设定 >,QCKZH 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。 0CvGpM, D59q/@ Peo-t*-06 图5. 视网膜重点采样规格设定 ,c-*/{3 脚本 &Dt=[yqeG V!(7=ku!` 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: Eg&:yF}?( C}|.z 图6. 用户对话框的创建与编辑 lcLDCt? 图7. 用户对话框编辑器 OFBEJacy 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。 |
TG 6-e_ 余下的脚本计算与屈光度有关的所有参数。 _^eiN'B d'&OEGb< 分析 Bd 0oA
)i xC9{hXg! 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 spTz}p^\O XdmpfUR,13 图7. 字母F在视网膜上颜色分析 [y}h 脚本代码 Td|u-9OM ;5.<M<PH Option Explicit 'Remove this to enable non-dimensioned variables to be used. Lyf5Yf([- +0)M1!gK Dim entity As T_ENTITY %t$KVV Dim op As T_OPERATION /E2P Dim mat As T_MODELMATERIAL ~1E!Co Dim A As Double IdMwpru( Dim pupilDiam As Double G'u[0> Dim eID As Long F:d2; Dim parID As Long $)$r Dim count As Integer UmvnVmnv Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double gaxM# Dim tlens As Double, nlens As Double xJAQ'ANr Dim curv As Double, conic As Double XI|k,Ko< Dim ok As Long 8V}|(b# $U.| Sub Main D/Ok .%)uCLZr$ '用户输入对话框 @87Y/_l Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 \q*-9_M TextBox 220,21,40,21,.TextBox1 'default: 0 JV@G9PT Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 4`)r1D!U OKButton 40,91,90,21 maDWV&Db CancelButton 190,91,90,21 -.y1]4 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ,}]v7DD TextBox 220,49,40,21,.TextBox2 'default: 4 DQ3L= End Dialog Y#Q!mbp Dim dlg As UserDialog *l4[`7| =Gu&0f ok = Dialog (dlg) #;~HoOK*# pDYJLh-C If ok=0 Then 'cancel button was pressed (CRx'R
Print "Execution cancelled." _k26(rdI@- End UimofFmI% End If GS=E6 hSw=Oq82 'Assign accommodation and pupil diameter & use defaults if field left empty ~##FW|N) If dlg.TextBox1 = "" Then 1KrJS(. A = 0 'Default accommodation ,mHUo4h1O Else f,E7eL@ A = CDbl(dlg.TextBox1) EnlAgL']| End If vG'#5%,| ~
z3J4s If dlg.TextBox2 = "" Then q`/J2r+O pupilDiam = 4 'Default pupil diameter KUYwc@si\ Else >V?0#f45@ pupilDiam = CDbl(dlg.TextBox2) lya},_WCq End If h2T\%V_j aVHIU3 Print " " tB"9%4]( Print "Accommodation = " & A & " Diopters" s5{=lP Print "Pupil Diameter = " & pupilDiam & " mm" +|d]\WlJ G 3,v'D5 ' Calculate new parameters with accommodation ssx#|InY taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness K$Vu[!l` GW'v\O Rant = 12.0 - 0.4*A 'Radius of anterior lens VqV [ @[P CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens O+|C<;K -*4*hHmb Rpost = -5.224557 + 0.2*A 'Radius of posterior lens pXl[I; CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 6];3h>c]N cjPXrDl{\ tlens = 3.767 + 0.04*A 'Lens thickness ~`QoBZ.O& YwET.(oo nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ~qeFSU( P'OvwA 'Adjust parameters to account for accommodation :=;{w~D jhf3(hx&F '************************************************************************* El5} f4sl 'Aqueous thickness (Position of Lens) "}qs+ '************************************************************************* 1J"9Y81 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) M)+p H GetCustomElement eID, entity uOLShNo 9/{ zS3h3 parID = FindFullName( "Geometry.Arizona Eye" ) >":xnX# a24 AmoWx ' Delete any shift(s) in z uStAZ~b\ count = 0 _C?Wk:Y@ While GetOperationCount(eID)>count )
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m GetOperation eID, count, op N$]er'` If op.Type="ShiftZ" Then XP?jsBE DeleteOperation eID,count c**&, aL count=count-1 q/U-6A[0 End If \(P?=] - count=count+1 B ??07j Wend &;d
N:F; %r(WS_%K| 'Set new shift in I*
C~w op.Type = "ShiftZ" \6&Ml]1 op.val1 = taq D;V[9E=g/ op.parent = parID D1xGUz2r AddOperation eID, op Z)W8Of_ Print "Set aqueous humor thickness = " & taq-0.55 X%5eZ"1{x G$i)ELs '************************************************************************* h:362&?] 'Radius and conic constant of anterior lens /VT/KT{ '************************************************************************* ;z4F-SYQ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 2uE<mjCt-r GetConic eID, entity, curv, conic U*$P"sS` |cma7q}p SetConic eID, entity, 1/Rant, CCant zW%Em81Wd Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 0wv#AT Z*co\ pW '************************************************************************* +`Z1L\gmA 'Radius and conic constant of posterior lens >%U+G0Fq '*************************************************************************
'/.Dxib eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) f?sm~PwC- GetConic eID, entity, curv, conic ~Xxmj!nOf t
Y SetConic eID, entity, 1/Rpost, CCpost /=/Ki%hh Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost N2}SR|. S"Cz.
bv '************************************************************************* QE(.w
dHP 'Lens thickness (Position of posterior lens surface) :'Qiwf& '************************************************************************* A ]A{HEX W%g*sc*+ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ;yt6Yp.6e SU ~a()" ' Delete any z-shift(s) LBK{-(% count = 0 0
jth}\9 While GetOperationCount(eID)>count j HHWq>=d GetOperation eID, count, op )Fv.eIBY If op.Type="ShiftZ" Then J2W-l{`r< DeleteOperation eID,count ^U_T<x8{ count=count-1 BkB>eE1)Ea End If =*,SD count=count+1 Q4"\k.
? Wend crM5&L9zF 1(?4*v@B 'Set new z-shift /sKL|]i= op.Type = "ShiftZ" k5S;G"iJ op.val1 = tlens 8 c8`"i op.parent = parID YO7U}6wBt AddOperation eID, op jfxNV2[ Print "Set lens thickness = " & tlens &F&`y p`Pa;=L '************************************************************************* 6$k#B ~~ 'Lens index of refraction ebk>e* '************************************************************************* 7s|'NTp eID = FindMaterial( "Lens" ) )5Khl"6!z GetModelMaterial eID, mat \3 SY2g8+ r[L%ap\{ mat.Nd = nlens uks75W!}U SetModelMaterial eID, mat D|LO!,=b Print "Set lens index of refraction = " & nlens b' o]Y %v0M~J}+ '************************************************************************* 2Xt4Rqk $ 'Pupil diameter )O1]|r7v '************************************************************************* (u,)v_Oo]a eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 7AqgX0) x>#{C,Fi 'Adjust pupil diameter (trimming volume inner hole) ]" 'yf;g *d1BpR% SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ;'"'|} xn }@r23g% ' Adjust pupil location to just in front of the lens ) O0Cz n parID = FindFullName( "Geometry.Arizona Eye" ) tDK@?PfKz eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) cbzA`b'Mg count = 0 k"N>pjgd$ While GetOperationCount(eID)>count r6DLShP-Ur GetOperation eID, count, op `fBQ?[05. If op.Type="ShiftZ" Then ,-c,3/tyA DeleteOperation eID,count 9p{4-] count=count-1 smn"]K End If sl' 4AK~\ count=count+1 oB:7R^a Wend 11H`WOTQF op.Type = "ShiftZ" -+".ut:R op.val1 = taq-0.01 6j%%CWU{~ op.parent = parID wNf:_^|} AddOperation eID, op 8Y`Lq$u |a(KVo Print "Set pupil diameter = " & pupilDiam @ st>#]i4 VE|:k:}; 'Update AZ Eye subassembly Description RHF"$6EAFG eID = FindFullName( "Geometry.Arizona Eye" )
0,Ds1y^ GetEntity eID, entity -^@FZR^Y entity.Description = "Accommodation = " & A & "D" !dqC6a SetEntity eID, entity Wg-mJu( }a]`"_i;[ Update VE\L&d2S Print "DONE!" %_!/4^smE x@-K End Sub `Y&`2WZ ~ i fsh(^N 如果屈光度是4,光瞳直径是4,则会输出如下数据: D;,p?]mgO~ BZeEZ2" Accommodation = 4 Diopters {*_Ln Pupil Diameter = 4 mm aHhLz>H' Set aqueous humor thickness = 2.81 =E-x0sr? Set anterior lens radius = 10.4 and conic constant = -2.375869 V3,C5KKk&z Set posterior lens radius = -4.424557 and conic constant = -3.081019 K;
#FU Set lens thickness = 3.927 GBz?$]6 Set lens index of refraction = 1.42672 z|g2Q#$-\S Set pupil diameter = 4 j=0kxvp DONE! 1[egCC\Mo_ ]cRvdUGv pH' Tx> QQ:2987619807 uYC^&siS<s
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