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cg>g/ .VT,,0 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。 t,_[nu(~8% %b9M\ 模型 7j8_O@_ =UY@,*q:c 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。 dGe ;U&VPIX$ Table 1. AZ眼睛模型的定义 \mloR
' 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. T~>:8i (n\
cs$ 光源 [qB=OxH? ^(R
gSMuT` 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。 =_Rd0, >Mn.|:DF]& 9 pn1d. 图1. 光源和提示信息使用 Pif1sL6' 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。 5]E5 V@C 6%-2G@6d 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。 FmPF7 75y#^pD?c 图2. 字母F光源的设定方法光 OgX."pK yr?\YKV)I 图3. 字母F在视网膜上位置点列图 3B+Rx;>h 视网膜的散射 DNPK1e3a{ 9}N*(PI 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。 x{E[qH_1Fm ^_uzr}LE` CfU)+20 图4. 视网膜朗伯散射设定 k>"I!&#g 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。 q2y:bqLWl {+;8dtZ)x Tb^9J7] 图5. 视网膜重点采样规格设定 jo;n~>3P 脚本 UWHC]V? |@RO&F 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: <OUApp H W3b\LnUa 图6. 用户对话框的创建与编辑 /.r($Sg^ 图7. 用户对话框编辑器 N@g+51ye 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 _~!,x.Dbp 余下的脚本计算与屈光度有关的所有参数。 8'y|cF%U :.<&Y=^ 分析 L<:ya kcle|B 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 #!2gxm;g T(6S~;,Z 图7. 字母F在视网膜上颜色分析 kQ + 脚本代码 4[?Q*f! Vr'Z5F*@ Option Explicit 'Remove this to enable non-dimensioned variables to be used. rTH@PDk>) <:?&}'aA Dim entity As T_ENTITY m#Cp.|>kP4 Dim op As T_OPERATION )~6974 Dim mat As T_MODELMATERIAL NoMC*",b> Dim A As Double 3]'3{@{}H Dim pupilDiam As Double 7Ny>W(8 Dim eID As Long ?@~FT1"6G Dim parID As Long q9OIw1xQr* Dim count As Integer SV.*Z|"^N Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double QwhPN'U Dim tlens As Double, nlens As Double wdg[pt
/> Dim curv As Double, conic As Double HBt?cA ' Dim ok As Long Y, P-@( )YZ41K5N Sub Main 2dC)%]aLme L2 I/h`n" '用户输入对话框 X**wRF Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ^C(AMT TextBox 220,21,40,21,.TextBox1 'default: 0 kz#DBh!& Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 BjA|H OKButton 40,91,90,21 CTwP{[%Pk CancelButton 190,91,90,21 8w{V[@QLn Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 k=LY 6 TextBox 220,49,40,21,.TextBox2 'default: 4 ?B-aj End Dialog 9`xq3EL2T Dim dlg As UserDialog 3}"VUS0wh hJ|z8Sy@1 ok = Dialog (dlg) toF@@% k2xjcrg If ok=0 Then 'cancel button was pressed ar6Z?v$ Print "Execution cancelled." a@%FwfIu End qB8<(vBP+ End If ^0r@", Cnn,$R=/s 'Assign accommodation and pupil diameter & use defaults if field left empty 6:e0?R^aD" If dlg.TextBox1 = "" Then 1r;Q5[@ A = 0 'Default accommodation dZZHk Else pM>.z9 A = CDbl(dlg.TextBox1) L|c01 End If oL<^m?-u cM55
vVd If dlg.TextBox2 = "" Then .9`.\v6R pupilDiam = 4 'Default pupil diameter l!`m}$ Else 7Q^t( pupilDiam = CDbl(dlg.TextBox2) g
>X!Q End If nF7Ozxm# 5^%FEZ&Sp Print " " OrzDr Print "Accommodation = " & A & " Diopters" \wTWhr0 Print "Pupil Diameter = " & pupilDiam & " mm" C<{k[!N%zm T'w=v-(J ' Calculate new parameters with accommodation 9X!OQxmg taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness =s;7T!7! PyIIdTm Rant = 12.0 - 0.4*A 'Radius of anterior lens eQMY3/# CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ,UY],;ib gPDc6{/C< Rpost = -5.224557 + 0.2*A 'Radius of posterior lens vRm;H|[%S CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens J.~$^-&! @*F
NWT6 tlens = 3.767 + 0.04*A 'Lens thickness ;X\,-pjv ni9/7 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction x H\5T! S_C+1e 'Adjust parameters to account for accommodation Zsaz#z|xW 1XwbsKQ} '************************************************************************* {gzL}KL 'Aqueous thickness (Position of Lens) y6;A4p> '************************************************************************* ZE4~rq/W eID = FindFullName( "Geometry.Arizona Eye.Lens" ) {D$#m GetCustomElement eID, entity zxXm9zrLo -$t#AYKz parID = FindFullName( "Geometry.Arizona Eye" ) _8kZ>w( L GBN^ *I ' Delete any shift(s) in z 1H%LUA count = 0 Ow<=K:^ While GetOperationCount(eID)>count 5_{C \S`T GetOperation eID, count, op g;vG6!;E\ If op.Type="ShiftZ" Then ?PLf+S DeleteOperation eID,count `5Q0U%`W count=count-1 &Zd!|u End If K`D>G< count=count+1 Wcw$
Zv Wend !fjDO!,! zaa>]~g . 'Set new shift in ?~hC.5 op.Type = "ShiftZ" c:M~!CXO op.val1 = taq X&pK#= op.parent = parID zJOL\J' AddOperation eID, op YrFB~z.V Print "Set aqueous humor thickness = " & taq-0.55 3
rV)JA Fep#Pw1 '************************************************************************* wm!Y5 'Radius and conic constant of anterior lens SVo:%mX '************************************************************************* hgL wxJu eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) {+!m]-s GetConic eID, entity, curv, conic Ak^g#^c* H9F\<5n]-l SetConic eID, entity, 1/Rant, CCant 5_9mA4gs@ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant L
slI!.( Wyd,7]'z)Z '************************************************************************* ".Luc7 'Radius and conic constant of posterior lens h%9#~gJ}) '************************************************************************* 1!~=8FTv eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) +QGZ2_vW GetConic eID, entity, curv, conic \x5b=~/ mbK$_HvU SetConic eID, entity, 1/Rpost, CCpost 7='lu;=, Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost gDa}8!+i $i;%n1VBg '************************************************************************* Z.ky=vCt 'Lens thickness (Position of posterior lens surface) 1/:WA:]1, '************************************************************************* 1Ue)&RW DY/xBwIF parID = FindFullName( "Geometry.Arizona Eye.Lens" ) KLrxlD4\ 5ro^<P0f** ' Delete any z-shift(s) W_8N?coM count = 0 SvLI%>B=9 While GetOperationCount(eID)>count $F"'=+0 GetOperation eID, count, op Nr8#/H2f If op.Type="ShiftZ" Then SfLZVB DeleteOperation eID,count b"DaLwKkz count=count-1 V{+'(<SV End If LVP2jTz count=count+1 fP# !ywgr% Wend LX2rg\a+% F!(Vg 'Set new z-shift Dukvi;\ op.Type = "ShiftZ" 6}4?,r op.val1 = tlens 3 }~.#`QeY op.parent = parID N@6+DHt AddOperation eID, op wyJ+~ Print "Set lens thickness = " & tlens G'<:O(Imu z-ns@y(f@X '************************************************************************* nI]8w6eCV 'Lens index of refraction cuzU*QW"g '************************************************************************* A{X:p3$eN eID = FindMaterial( "Lens" ) AtU%S9 GetModelMaterial eID, mat xU<WUfS1 pZHx mat.Nd = nlens n .is+2t SetModelMaterial eID, mat PgHe;^?j Print "Set lens index of refraction = " & nlens m#w1?y)Z@X 1seWR" '************************************************************************* |z1er"zR) 'Pupil diameter /5M0[C E '************************************************************************* *WMI<w~_ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) >V1vw7Pa Hw29V // 'Adjust pupil diameter (trimming volume inner hole) Jj%" r)<c
~\0 7 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" o0ky]9
P `st3iTLZY ' Adjust pupil location to just in front of the lens jEh Px parID = FindFullName( "Geometry.Arizona Eye" ) %vn"tp eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ^cRAtoa count = 0 A; _Zw[ While GetOperationCount(eID)>count qh9d.Q+n GetOperation eID, count, op F-R5Ib-F*A If op.Type="ShiftZ" Then (>]frlEU~ DeleteOperation eID,count gpT~3c;l= count=count-1 eYtP396C| End If Z-%zR'-?* count=count+1 JsP<etX Wend iy!SqC op.Type = "ShiftZ" [/=Z2mtA op.val1 = taq-0.01 C*X=nezq op.parent = parID L0\~K~q AddOperation eID, op i8w/a ,{6Vf|? Print "Set pupil diameter = " & pupilDiam i 1dE.f; m+|yk.md 'Update AZ Eye subassembly Description MD9 8N{+[| eID = FindFullName( "Geometry.Arizona Eye" ) mP*Ct6628n GetEntity eID, entity 1u8 k} entity.Description = "Accommodation = " & A & "D" $U=j<^R}a SetEntity eID, entity :%[mc-6. ~n=oPm$pR Update -#Bk Print "DONE!" jhR`%aH4 Y;)l End Sub z{H=;"+rh J5!-<oJ/ 如果屈光度是4,光瞳直径是4,则会输出如下数据: eC{St0 vc%=V^)N7U Accommodation = 4 Diopters WhT5NE9t Pupil Diameter = 4 mm b9 ;w3Ba Set aqueous humor thickness = 2.81 p!o-+@ava Set anterior lens radius = 10.4 and conic constant = -2.375869 z[Ah9tM% Set posterior lens radius = -4.424557 and conic constant = -3.081019 A('o&H Set lens thickness = 3.927 `O0bba=:= Set lens index of refraction = 1.42672 %63s( ekU Set pupil diameter = 4 v#|yr< DONE! :u]QEZ@@
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