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简介 css64WX^0c fXI:Y8T 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。 I&n G,Z^g|6 模型 /~*_x=p: H ]4Hj 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。 sGh(#A0Pt 3rLTF\ Table 1. AZ眼睛模型的定义 ['8!qr 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. su*Pk|6% `qJw|u>YpJ 光源 niB`2J gs!(;N\j| 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。 A_Frk'{qhB "&Po,AWa s3 7'&K 图1. 光源和提示信息使用 [Nn`l, 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。 g&/T*L {uzf"%VtP 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。 __mF?m jZ NOt 图2. 字母F光源的设定方法光 {( r6e q6YX M 图3. 字母F在视网膜上位置点列图 cGjPxG; 视网膜的散射 %p%%~ewmx F:x [ 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。 (o3
Iy %|s+jeUDn| 2UGsYQn 图4. 视网膜朗伯散射设定 2eMTxwt*S 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。 %^RN#_ro(3 (5]}5W* .^B*e6DAD 图5. 视网膜重点采样规格设定 /SYw;<= 脚本 $D G?M6 8WnwQ%;m? 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: J2:y6kGj> ]U"94S U:) 图6. 用户对话框的创建与编辑 `OSN\"\ad 图7. 用户对话框编辑器 v:H$<~)E| 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。 #%DE; 余下的脚本计算与屈光度有关的所有参数。 s[UHe{^T T=ev[ mS 分析 ;*MLRXq eM8}X[ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 #U14-^7 X&kp;W 图7. 字母F在视网膜上颜色分析 om1eQp0N 脚本代码 .V,@k7U,V ](hE^\SC Option Explicit 'Remove this to enable non-dimensioned variables to be used. =>-Rnc@ =?!wXOg_ Dim entity As T_ENTITY #\=F O> Dim op As T_OPERATION ^0Mt*e{q Dim mat As T_MODELMATERIAL `nu''B
H Dim A As Double u?C#4 Dim pupilDiam As Double E>K!Vrh-L Dim eID As Long ov, hI>0!D Dim parID As Long q<M2,YrbAI Dim count As Integer AIZ]jq Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double v?geCe=ng Dim tlens As Double, nlens As Double &v@a5 L Dim curv As Double, conic As Double vam;4vyu Dim ok As Long \kZ? ez|)ph7 Sub Main vX.VfY }~L.qG '用户输入对话框 Abc)i7!.,. Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ,y#Kv|R TextBox 220,21,40,21,.TextBox1 'default: 0 ;0Tx-8l Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 HAa;hb OKButton 40,91,90,21 A6thXs2 CancelButton 190,91,90,21 c24dSNJg, Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 $&n=$C&x TextBox 220,49,40,21,.TextBox2 'default: 4 r 8RoE`/T End Dialog DW[N|-L Dim dlg As UserDialog cz8T NPp;78O0[ ok = Dialog (dlg) .:F%_dS D #AJM6* G9 If ok=0 Then 'cancel button was pressed t7aefV&_, Print "Execution cancelled." koug[5T5 End glDu2a,Q End If {ttysQ- ?82xdpg 'Assign accommodation and pupil diameter & use defaults if field left empty ds<2I,t If dlg.TextBox1 = "" Then |IzPgC A = 0 'Default accommodation |Y,b?*UF Else .(cw>7e3D A = CDbl(dlg.TextBox1) Fww :$^_ k End If b0Ps5G\ u ,?^ p(w If dlg.TextBox2 = "" Then k5'Vy8q pupilDiam = 4 'Default pupil diameter sYI-5D] Else V2wb%;q pupilDiam = CDbl(dlg.TextBox2) 3[Qxd{8r End If zBzZxK>$ "ut39si Print " " )"7iJb<E Print "Accommodation = " & A & " Diopters" ~qTx|", Print "Pupil Diameter = " & pupilDiam & " mm" *XIF)Q=<> at,XB.}Z] ' Calculate new parameters with accommodation W{ q U taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ;,%fE2c I 5^!y Rant = 12.0 - 0.4*A 'Radius of anterior lens Q+{xZ'o"Z CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens &w_j/nW^' Ng2twfSl$ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens pmyXLT CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens G[uK -U &]|?o_p3W tlens = 3.767 + 0.04*A 'Lens thickness #lL^?|M @@Kp67Iv nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 3YOq2pW72G KPKt^C 'Adjust parameters to account for accommodation 2} /aFR U:0mp" '************************************************************************* NJWA3zz
'Aqueous thickness (Position of Lens) -
M4JJV( '************************************************************************* {EB;h\C eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Ot_]3:`J~ GetCustomElement eID, entity hj*pTuym vc;$-v$& parID = FindFullName( "Geometry.Arizona Eye" ) /NI;P]s. l<58A7 ' Delete any shift(s) in z /~%&vpF-L
count = 0 FrGgga$ While GetOperationCount(eID)>count @k,#L`3^ GetOperation eID, count, op 2lH& If op.Type="ShiftZ" Then k<CJ{u0< DeleteOperation eID,count gwuI-d^ count=count-1 >*
f-Wde End If 5H<m$K4z count=count+1 /K@XzwM Wend M2,l7
K7_UP&`=J 'Set new shift in UNu#(nP op.Type = "ShiftZ" [Kg+^N%+ op.val1 = taq NRs13M<ftf op.parent = parID g[' ^L+hd AddOperation eID, op 5}l[>lF Print "Set aqueous humor thickness = " & taq-0.55 24 ' J XPXIg '************************************************************************* r=
`Jn6@ 'Radius and conic constant of anterior lens _Eo[7V{NY '************************************************************************* ^eY!U%. eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ]nn98y+ GetConic eID, entity, curv, conic &AeX t%0VJB,Q2 SetConic eID, entity, 1/Rant, CCant @alK;\ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant C_}]`[ s%7t"-=& '************************************************************************* oq
Xg 'Radius and conic constant of posterior lens Cw3a0u '************************************************************************* G5BfNU eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) m]6mGp GetConic eID, entity, curv, conic yLvDMPj 2~)`N>@ SetConic eID, entity, 1/Rpost, CCpost I3L<[-ZE Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 2`K=Hby <44G]eb '************************************************************************* BA:VPTZq 'Lens thickness (Position of posterior lens surface) y%cP1y) '************************************************************************* vH@ds
k Di6 ?[(8 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Q~
w|# `g=J%p ' Delete any z-shift(s) Jq-]7N%k/ count = 0 Naf0)3q>! While GetOperationCount(eID)>count q"lSZ;
'E GetOperation eID, count, op 1v27;Q<+Q If op.Type="ShiftZ" Then Ty?cC** DeleteOperation eID,count )D7m,Wi+ count=count-1 L,/%f<wd End If %$Tji count=count+1 h7Kzq{$ Wend tX s\R(?T m+[Ux{$ 'Set new z-shift IFL*kB op.Type = "ShiftZ" y dA8wL op.val1 = tlens lTgjq:mn op.parent = parID ~qKY) "gG AddOperation eID, op U?Zq6_M& Print "Set lens thickness = " & tlens $7ZX]%<s JX;G<lev '************************************************************************* *w\W/ Y 'Lens index of refraction <iC(`J$D '************************************************************************* g]H<}4lgq" eID = FindMaterial( "Lens" ) N=}A Z{$ GetModelMaterial eID, mat %5n_
p^xp kgP0x-Ap mat.Nd = nlens e X|m SetModelMaterial eID, mat *])
`z8Ox Print "Set lens index of refraction = " & nlens K+3=tk]W9u G5 WVr$ '************************************************************************* uw_Y\F-$ 'Pupil diameter ^jZbo{ '************************************************************************* :4/3q|cn eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) .Yn_*L+4* ^}o 2 'Adjust pupil diameter (trimming volume inner hole) f.$af4
u ^hM4j{|&M SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" l'_r:b @qAS*3j ' Adjust pupil location to just in front of the lens }Zn} parID = FindFullName( "Geometry.Arizona Eye" ) ]{@-HTt eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) $<EM+oJ|ER count = 0 Z@!+v19^ While GetOperationCount(eID)>count Wh*uaad7 GetOperation eID, count, op H<,gU`&R If op.Type="ShiftZ" Then BW4J> { DeleteOperation eID,count 5U$0F$BBp count=count-1 U'bEL^Jf End If ;HO= count=count+1 W^l-Y%a/o Wend Qp3_f8 op.Type = "ShiftZ" >|UOz& op.val1 = taq-0.01 /*mI<[xb op.parent = parID `X&gE,Ii AddOperation eID, op XW]tnrs kt:!
7 Print "Set pupil diameter = " & pupilDiam #@Jq~$N| uKHxe~ 'Update AZ Eye subassembly Description r;N|) eID = FindFullName( "Geometry.Arizona Eye" ) Rima;9.Y0 GetEntity eID, entity [{,1=AB entity.Description = "Accommodation = " & A & "D" ~Mxvq9vaD SetEntity eID, entity wbl& $ddCTS^ Update *$g-:ILRuZ Print "DONE!" Y$@?.)tY "4{r6[dn End Sub wFZP,fQ9l <RL] 如果屈光度是4,光瞳直径是4,则会输出如下数据: Qvhl4-XjZa /%^#8<=|U Accommodation = 4 Diopters i9x+A/o[ Pupil Diameter = 4 mm . $vK&k Set aqueous humor thickness = 2.81 c\j/k[\< Set anterior lens radius = 10.4 and conic constant = -2.375869 sXFZWj}\ Set posterior lens radius = -4.424557 and conic constant = -3.081019 4o[{>gW Set lens thickness = 3.927
o66}yJzmD Set lens index of refraction = 1.42672 F:S}w Set pupil diameter = 4 Z7Hbj!d/Sz DONE! UkFC~17P
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