Arizona眼睛模型
简介 .]w=+~h ["^? vhv 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。 $W]}m"l dym K @ 模型 ?[<#>,W gY&WH9sp?9 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。 `?G&w.Vs Table 1. AZ眼睛模型的定义 [attachment=111140] BUS4 T#D $1 t
IC_ 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. E?-
~*T =Hbf()cN) 光源 NHiac(&* xn=#4:f 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 bH.SUd) -v! ; [attachment=111141] 图1. 光源和提示信息使用 sBk|KG R-YNg 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 wxo*\WLe [Ob09#B%:5 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 H<") )EJI [attachment=111142] 图2. 字母F光源的设定方法光 Z4oD6k5oc @jCMQYR [attachment=111143] 图3. 字母F在视网膜上位置点列图 GL%)s?
2m^qXE$ 视网膜的散射 {T-=&%|| -AN5LE9- 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。 d$^@$E2f -tIye{ [attachment=111144] 图4. 视网膜朗伯散射设定 ^8KxU WjguM 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。 ~BiLzT1, >n3ig~0d [attachment=111145] 图5. 视网膜重点采样规格设定 U(gYx@ =QK ucLo 脚本 RN&6z"|jR zZ,"HY=jN 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: CG;+Z-"X [attachment=111146] 图6. 用户对话框的创建与编辑 7g$*K0m` [attachment=111147] 图7. 用户对话框编辑器 B@v
(ZY orOq5?3 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。 aJ@lT&. 余下的脚本计算与屈光度有关的所有参数。 *j(UAVp
//0Y#" 分析 CaV@<T ep4?;Qmho 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Zv2]X- [attachment=111148] 图7. 字母F在视网膜上颜色分析 d3\KUR^ # [
+n( 脚本代码 c/^l2CJ0 +koW3>
- Option Explicit 'Remove this to enable non-dimensioned variables to be used. $4*gi&
O0;mXH Dim entity As T_ENTITY -(7oFOtg Dim op As T_OPERATION
`n@;%*6/ Dim mat As T_MODELMATERIAL * =*\w\
te Dim A As Double !1%Sf.`!_ Dim pupilDiam As Double Vju/+ Dim eID As Long X"vDFE`? Dim parID As Long /;vHAtt;f Dim count As Integer LcT;7yv Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double _DAqL@5n Dim tlens As Double, nlens As Double 9kwiG7V1 Dim curv As Double, conic As Double EI)2c.A Dim ok As Long ~!M" ;O|u`fAqT Sub Main 7nBX@Uo 6J_$dzw '用户输入对话框 &O#1*y
Z Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 byTHSRt TextBox 220,21,40,21,.TextBox1 'default: 0 q&}+O Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 _8ks`O#} OKButton 40,91,90,21 >3*a&_cI=k CancelButton 190,91,90,21 .s?^y+e_ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 R T~oJ~t; TextBox 220,49,40,21,.TextBox2 'default: 4 A2p% Y}, End Dialog kkW }:dBl Dim dlg As UserDialog 9-vQn/O^D CMyz!jZ3 ok = Dialog (dlg) Q,Y^9g"B`~ %eh.@8GL` If ok=0 Then 'cancel button was pressed HGDiwA Print "Execution cancelled." I0><IaFy End
sCmN|Q End If \/C5L:|p_ -r]L MQ 'Assign accommodation and pupil diameter & use defaults if field left empty 7G7"Zule*j If dlg.TextBox1 = "" Then ~]`U)Aw A = 0 'Default accommodation -PU.Uw] Else OOXP1L A = CDbl(dlg.TextBox1) jP0TyhM End If
DF=Rd# K`j:F>b If dlg.TextBox2 = "" Then #3{{[i(;i pupilDiam = 4 'Default pupil diameter gzy|K%K Else d c_2nF pupilDiam = CDbl(dlg.TextBox2) I[?bM- End If GctV keG\-f Print " " lgD% Print "Accommodation = " & A & " Diopters" ]"?<y s Print "Pupil Diameter = " & pupilDiam & " mm" y&eU\>M 6.$z!~8 ' Calculate new parameters with accommodation 0P{8s taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Rlm28 [@B!N+P5; Rant = 12.0 - 0.4*A 'Radius of anterior lens ^QG<_Dm] CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens .JJ50p [0]J
2 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens cct/mX2&~ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens SSyARR+;c f"NWv! tlens = 3.767 + 0.04*A 'Lens thickness ITEf Q@#jU .<xD'54 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction gjFQDrz( JoZzX{eu" 'Adjust parameters to account for accommodation g:!R't? TJ>1?W\Z '************************************************************************* Z c#Jb 'Aqueous thickness (Position of Lens) QC&,C}t, '************************************************************************* y+V>,W)r7 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Y7 K2@257 GetCustomElement eID, entity \PFj w9s la4%Vqwgu parID = FindFullName( "Geometry.Arizona Eye" ) 2- (}=N g6S-vSX, ' Delete any shift(s) in z wehiX7y count = 0 Kb-m While GetOperationCount(eID)>count #l.s>B4 GetOperation eID, count, op T|j=,2_ If op.Type="ShiftZ" Then V$oj6i{ky DeleteOperation eID,count ~2yhZ count=count-1 QFoCi& End If L/%{,7l<^? count=count+1 JsMN_%y? Wend }W[=O:p OsVz[w N 'Set new shift in Snp(&TD<< op.Type = "ShiftZ" =UWW(^M#[: op.val1 = taq PlT_]p op.parent = parID tB4yj_ZF AddOperation eID, op &OEBAtc/ Print "Set aqueous humor thickness = " & taq-0.55 Uyeo0B" >IA1 \?( '************************************************************************* E9t8SclV 'Radius and conic constant of anterior lens -7o-d-d F '************************************************************************* rSm#/)4A eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) t("koA=. GetConic eID, entity, curv, conic *,*XOd:3TL 'WBhW5@ SetConic eID, entity, 1/Rant, CCant (?lT @RY/ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Jw^my4 ,JTyOBB<I '************************************************************************* FL&Y/5 'Radius and conic constant of posterior lens 8]O#L}" '************************************************************************* $(08!U
eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 7s2*VKr GetConic eID, entity, curv, conic _F^NX% a5d_= :S; SetConic eID, entity, 1/Rpost, CCpost :<0lC j Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost cS@p`A7Tpo [9Tnp]q '************************************************************************* ~DB:/VSmu 'Lens thickness (Position of posterior lens surface) kE!ky\E '************************************************************************* dldS7Q :O?3lj) parID = FindFullName( "Geometry.Arizona Eye.Lens" ) #SjCKQ~ ed3wj3@ ' Delete any z-shift(s) -~H
"zu` count = 0 m6 Y0,9 While GetOperationCount(eID)>count 9#~jlq( GetOperation eID, count, op +JXn If op.Type="ShiftZ" Then /rK/l DeleteOperation eID,count YhooD,[. count=count-1 !|9k&o End If f'`y-]"V5) count=count+1 98uMD Wend {!wd5C@ )|5mW 'Set new z-shift _G/uDP% op.Type = "ShiftZ" 4$ah~E>,t op.val1 = tlens r&:yZN op.parent = parID +#A~O4%t AddOperation eID, op i3Xo6!Q Print "Set lens thickness = " & tlens Gf9O\wrs #!_ViG )2^ '************************************************************************* e ^`La*n 'Lens index of refraction o>m*e7l, '************************************************************************* Z-" NLwt[ eID = FindMaterial( "Lens" ) o4LVG GetModelMaterial eID, mat lR`.V0xA }/IP\1bG mat.Nd = nlens nf:wJ-;* SetModelMaterial eID, mat j<9^BNl Print "Set lens index of refraction = " & nlens ,ZO?D|M1 4s"x}c">F '************************************************************************* \Il?$Kb/ 'Pupil diameter cA|
n*A-j< '************************************************************************* _=cuOo"! eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) qS
ggZ0* zY-?Bv_D 'Adjust pupil diameter (trimming volume inner hole) ,Hp7`I>/ SaRn>n\ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ;rnhv:Iw 1&Mpx!K*T ' Adjust pupil location to just in front of the lens "-G7eGQ parID = FindFullName( "Geometry.Arizona Eye" ) SK*<H~2 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 0[8uuqV[cB count = 0 O
>@Q>Z8W? While GetOperationCount(eID)>count f Avh!g GetOperation eID, count, op 'I>geW?{QK If op.Type="ShiftZ" Then p`!<yq2_ DeleteOperation eID,count 'c
>^Aai count=count-1 U0N6\+ End If 5F]2.<i count=count+1 IL?"g{w Wend *hpS/g/3\ op.Type = "ShiftZ" >yLdrf op.val1 = taq-0.01 ;D%H}+Z op.parent = parID lt\Bm<"z!1 AddOperation eID, op 9pk-#/ag uE..1N&* Print "Set pupil diameter = " & pupilDiam Z8f?uF '=Acg"aT 'Update AZ Eye subassembly Description 7dR]$~+*e eID = FindFullName( "Geometry.Arizona Eye" ) ^^YP kh6sS GetEntity eID, entity P"[{s^mb entity.Description = "Accommodation = " & A & "D" H#T&
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