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简介 JxQwxey{ @ ADY? 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。 #e%.z+7I |Y<ca 模型 PiB)pUYj *f8,R"]-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。 QnxkD)f*0 |D^Q}uT Table 1. AZ眼睛模型的定义 Y=G *[G# 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. cFLu+4.jsG hE:P'O1 光源 "sFdrXJ whNRUOK: 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。 ;J\{r$q 8O{]ML 'D(Hqdr;: 图1. 光源和提示信息使用 #)R;6" 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 We#*.nr{3Z HqgTu` 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 >/n5=RWh M;MD-|U 图2. 字母F光源的设定方法光 ]_BG"IR!.. _0F6mg n 图3. 字母F在视网膜上位置点列图 (p} N9n$ 视网膜的散射 LWbWj ^ ~s^&*KaA 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。 w& RpQcV v )7d `@.YyPxX\ 图4. 视网膜朗伯散射设定 o\]e}+1[o 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。 <O$'3_S"D |0f\>X I #`"' 图5. 视网膜重点采样规格设定 6X|KKsPzX 脚本 l^`!:BOtR Q,\lS 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: -I=}SZ `?JrC3 图6. 用户对话框的创建与编辑 ZuS+p0H" 图7. 用户对话框编辑器 >^J!Z~;L) 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 `ss]\46> 余下的脚本计算与屈光度有关的所有参数。 6%S>~L66 ^DZiz[X+| 分析 c<&+[{| =r0!-[XCa 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 |P?8<8p kj0A%q#'} 图7. 字母F在视网膜上颜色分析 }Pb!u9_ 脚本代码 h]EXD tW=0AtZl] Option Explicit 'Remove this to enable non-dimensioned variables to be used. #gN{8Yk> XVv7W5/q] Dim entity As T_ENTITY VDnAQ[T@d Dim op As T_OPERATION KktTR`W Dim mat As T_MODELMATERIAL #-lk=> Dim A As Double wFqz.HoB Dim pupilDiam As Double *fd` .} Dim eID As Long M.OWw#?p:_ Dim parID As Long jilO% " Dim count As Integer r kD4}jV Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double t*}<v@, Dim tlens As Double, nlens As Double [2\`Wh:%P Dim curv As Double, conic As Double T@Q<oNU Dim ok As Long :m$%D]WY W'
2)$e Sub Main ]`4QJ;# gdG:
&{|x '用户输入对话框 uk'<9g^ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 2! 6Kzq TextBox 220,21,40,21,.TextBox1 'default: 0 " c Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 to?"{ OKButton 40,91,90,21 e1/|PgT(KM CancelButton 190,91,90,21 Ow^%n(Ezh Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 '\_)\`a| TextBox 220,49,40,21,.TextBox2 'default: 4 i{e<kKh End Dialog rRt<kTk!U Dim dlg As UserDialog W@S9}+wl* ah<f&2f ok = Dialog (dlg) [c W ^X;>?_Bk If ok=0 Then 'cancel button was pressed h=U 4 Print "Execution cancelled." *xjIl<`pK End JWdG?[$ End If 5g5pzww AN1bfF:C 'Assign accommodation and pupil diameter & use defaults if field left empty h n]6he If dlg.TextBox1 = "" Then U&/S A = 0 'Default accommodation $?GO|.59 Else }N|/b"j9 A = CDbl(dlg.TextBox1) >5gzo6j/ End If X'F$K!o*,: {vH8X(m If dlg.TextBox2 = "" Then "nefRz%j+ pupilDiam = 4 'Default pupil diameter )/pPY Else }wb;ulN) pupilDiam = CDbl(dlg.TextBox2) DtN6.9H2` End If E<4}mSn) X5yh S Print " " |S}*M<0 Print "Accommodation = " & A & " Diopters" $G}Q}f Print "Pupil Diameter = " & pupilDiam & " mm" >k#aB.6 c,fedH; ' Calculate new parameters with accommodation ujh4cp taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ~zX5}U<R l85"C Rant = 12.0 - 0.4*A 'Radius of anterior lens
'ng/A4 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens od fu7P_ _L72Ae(_ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens igL^k`&5^" CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens CUG<v3\ U,S286 tlens = 3.767 + 0.04*A 'Lens thickness u^uG_^^,/ K!~](_W! nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction # 0(\s@r. Uwk|M?94 'Adjust parameters to account for accommodation [<;2 C T{M:)}V '************************************************************************* /km3L7L%R 'Aqueous thickness (Position of Lens)
f#nmr5F '************************************************************************* HXQrtJ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) jY.%~Y1y GetCustomElement eID, entity i5" q1dRQ qsRh ihPX parID = FindFullName( "Geometry.Arizona Eye" ) QMY4%uyY! 8(;i~f:bCW ' Delete any shift(s) in z IA4(^-9 count = 0 (jG$M= q- While GetOperationCount(eID)>count F)w83[5_d GetOperation eID, count, op hH/O2 If op.Type="ShiftZ" Then `ahXn DeleteOperation eID,count :JIPF=]fc count=count-1 g-}sVvM End If 9R[','x count=count+1 ;p ('cwU% Wend ZM?r1Z4 K=)R!e8 'Set new shift in NZ5~\k op.Type = "ShiftZ" WXU6J?tIm op.val1 = taq {LDb*'5Cy op.parent = parID QR'g*Bro AddOperation eID, op pH[lj8S Print "Set aqueous humor thickness = " & taq-0.55 O :^[4$~ O2dgdtm '************************************************************************* gEsR-A!m 'Radius and conic constant of anterior lens r|@?v , '************************************************************************* Ke'2"VkQt eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 3(&F.&C$$ GetConic eID, entity, curv, conic M(uB
;Te L#Y;a
5b SetConic eID, entity, 1/Rant, CCant yFo5 pKF.J Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant PEIr-qs%D BaAb4{ '************************************************************************* 1_C6KS 'Radius and conic constant of posterior lens j.}V~Sp* '************************************************************************* "r"An" eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) $"{3i8$3mT GetConic eID, entity, curv, conic =[+&({ 5qEdN SetConic eID, entity, 1/Rpost, CCpost F4%[R) Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost z]AS@}wWqg ;hJ*u '************************************************************************* pNFIO
t:( 'Lens thickness (Position of posterior lens surface) <1BK5%? '************************************************************************* Z-a(3& =_J<thp parID = FindFullName( "Geometry.Arizona Eye.Lens" ) vP?S0>gh Yj\yO(o/ ' Delete any z-shift(s) 66^t[[ count = 0 s.)w
A`&& While GetOperationCount(eID)>count z{L;)U B^ GetOperation eID, count, op nF$)F?|| If op.Type="ShiftZ" Then b.*4RL DeleteOperation eID,count E}/|Lja count=count-1 [frD
L) End If 9z/_`Xd_ count=count+1 5q`)jd !*) Wend {Y%=/ba W Bqlc+d: 'Set new z-shift 2{I z op.Type = "ShiftZ" /,Id_TTCO op.val1 = tlens %esZ}U op.parent = parID G%R`)Z]8& AddOperation eID, op Bjj^!T/# Print "Set lens thickness = " & tlens L6=RD<~C #@s~V<rW '************************************************************************* r~_ /Jj 'Lens index of refraction +STzG/9# '************************************************************************* kQl cT"R eID = FindMaterial( "Lens" ) hg'! GetModelMaterial eID, mat l]y%cJ~$'D $!!=fFX*y mat.Nd = nlens }QW~.>` SetModelMaterial eID, mat bvS\P!m\c Print "Set lens index of refraction = " & nlens ]mo<qWRc>p @SG"t,5s '************************************************************************* pbxcsA\ 'Pupil diameter (G%gVk] '************************************************************************* ~.`r( eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) x0$:"68PW ~LW%lMy;^| 'Adjust pupil diameter (trimming volume inner hole) Le:mMd= G 7h&`BS SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" vP)~j1 *Q120R ' Adjust pupil location to just in front of the lens 4?M3#],'h parID = FindFullName( "Geometry.Arizona Eye" ) )K%O/H eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) (DP9& b count = 0 )r,R!8 While GetOperationCount(eID)>count rIfGmh%H GetOperation eID, count, op a;T[%'in If op.Type="ShiftZ" Then 64rk^Um DeleteOperation eID,count "M0l; count=count-1 #L=
eK8^e End If KM(9&1/ count=count+1 9.OwH(Ax7 Wend z/&a\`DsU op.Type = "ShiftZ" EQOP?>mWx! op.val1 = taq-0.01 4FE@s0M, op.parent = parID t:sq*d AddOperation eID, op =*:_swd bKMR7&e.Ep Print "Set pupil diameter = " & pupilDiam v;}`?@G C9Z\G 3 'Update AZ Eye subassembly Description pH l2!{z eID = FindFullName( "Geometry.Arizona Eye" ) KPd C9H GetEntity eID, entity p vQK6r entity.Description = "Accommodation = " & A & "D" hd
;S>K/C SetEntity eID, entity j484b2uj1 X8SRQO^ Update fQy
C6C Print "DONE!" P:,
x?T?J^ h k!, End Sub }Wche/g` ,ibPSN5Ca 如果屈光度是4,光瞳直径是4,则会输出如下数据: R~5*#r@f P9TBQW2G{ Accommodation = 4 Diopters hn\Q6f+ Pupil Diameter = 4 mm O][Nl^dl Set aqueous humor thickness = 2.81 3AQ>>) T~ Set anterior lens radius = 10.4 and conic constant = -2.375869 oTD-+MZn Set posterior lens radius = -4.424557 and conic constant = -3.081019 2
ssj(Qo Set lens thickness = 3.927 5+/b$mHZX Set lens index of refraction = 1.42672 'Ywpdzz[ Set pupil diameter = 4 .F$|j1y
DONE! uGUv~bE 4,F3@m:< >AzWM
.r QQ:2987619807 I`'a'
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