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简介 ?$T ^L"~ x^1d9Z 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。 "qd|!:bE H7z)OaM 模型 k!}(a0h MtaGv#mJ 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。 Z) 2d4:uv C=]<R<Xy Table 1. AZ眼睛模型的定义 `-OzjbM 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. ^L)TfI_n GBT|1c'i 光源 `GdH ,:S> K3M.ZRh\;` 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。 'Grii, |R _rfJh &(A#F[ =0 图1. 光源和提示信息使用 *OznZIn 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。 T!ZjgCY} x\(#
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。 xPPA8~Dm* u!5q)>Wt( 图2. 字母F光源的设定方法光 jC4>%!{m Nw$OJ9$L>
图3. 字母F在视网膜上位置点列图 ybw\^t 视网膜的散射 ;?tH8jf> {59>U~ 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。 \Ta5c31S+ Z,e|L4& m*A b<$y 图4. 视网膜朗伯散射设定 yn_f%^!G 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 BDvkY s_XCKhN: r KUtTj 图5. 视网膜重点采样规格设定 }DS%?6}Sy 脚本 GDSXBa*7 (${ #l 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: \t&! &R# n qO*z< 图6. 用户对话框的创建与编辑 `;+x\0@< 图7. 用户对话框编辑器 UMe?nAC 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。 %UrNPk 余下的脚本计算与屈光度有关的所有参数。 yRyXlZC WoN},oT[i 分析 +]A,fmI. \} v@!PQl 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 o>C,Db~L/ RQ=$,
i` 图7. 字母F在视网膜上颜色分析 )'T].kWW 脚本代码 ))f@9m =VzJ>!0 Option Explicit 'Remove this to enable non-dimensioned variables to be used. G=|?aK{p R}gdN-941 Dim entity As T_ENTITY Dg.~"h5mT Dim op As T_OPERATION e'A_4;~@s Dim mat As T_MODELMATERIAL K~,!IU_QG Dim A As Double wGNEb Dim pupilDiam As Double 1C{0 R. Dim eID As Long <<u]WsW{C Dim parID As Long
*6` ^8Y\ Dim count As Integer %xCL&}bY Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double JCnHEH Dim tlens As Double, nlens As Double <q!HY~"V Dim curv As Double, conic As Double P|@[D=y Dim ok As Long @i!+Z pI-Qq%Nwt Sub Main -Yse^(^"s )VkVZf | S '用户输入对话框 ocWl]h]. Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 e}yF2|0FD TextBox 220,21,40,21,.TextBox1 'default: 0 ,$:u^;V( Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 eLPtdP5k OKButton 40,91,90,21 ygnZ9ikh<- CancelButton 190,91,90,21 ejZ-A?f-K Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 9;v3
(U+: TextBox 220,49,40,21,.TextBox2 'default: 4 #X'-/q`. End Dialog pLCj"D).M Dim dlg As UserDialog YGOkqI xaVX@ 3r.3 ok = Dialog (dlg) STjb2t,a !7I07~&1 If ok=0 Then 'cancel button was pressed "zJ xWXI Print "Execution cancelled." 9nc_$H{ End 8iaMr278W End If lqOpADLS3 _]o7iqtv 'Assign accommodation and pupil diameter & use defaults if field left empty ai$l7]7 If dlg.TextBox1 = "" Then ?wG A = 0 'Default accommodation /!5ohQlPJ Else hbJy<e1W A = CDbl(dlg.TextBox1) VVch% End If #BP0MY& vw!7f|Pg ~ If dlg.TextBox2 = "" Then $7Hwu^c( pupilDiam = 4 'Default pupil diameter wE.jf.q Else a%m
)8N;C pupilDiam = CDbl(dlg.TextBox2) jy.L/s End If '6qH@r4Z< 4 N$Wpx Print " " ,c`6- Print "Accommodation = " & A & " Diopters" b}Gm{;s! Print "Pupil Diameter = " & pupilDiam & " mm" h SS9mQ s3JzYDpy ' Calculate new parameters with accommodation Fz(;Eo3 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 6Zn[l,\ cI8\d 4/py Rant = 12.0 - 0.4*A 'Radius of anterior lens 8Gy]nD CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens _@XueNU1hS ,0h{RZKw Rpost = -5.224557 + 0.2*A 'Radius of posterior lens liPrxuP` CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens w,j!%N P{K\}+9F
tlens = 3.767 + 0.04*A 'Lens thickness 1YMi4. Dz~^AuD6 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction JJ) b*h:e.q 'Adjust parameters to account for accommodation dLH@,EKl) 83V\O_7j '************************************************************************* n-M6~ 'Aqueous thickness (Position of Lens) 9'H:pb2 '************************************************************************* B^TgEr eID = FindFullName( "Geometry.Arizona Eye.Lens" ) SHPDbBS GetCustomElement eID, entity N~v<8vJq` IxWi>8
parID = FindFullName( "Geometry.Arizona Eye" ) ?E!M%c@, >wqWIw.w> ' Delete any shift(s) in z uaP5(hUI count = 0 $ bMmyDw While GetOperationCount(eID)>count V_$<^z| GetOperation eID, count, op j07A>G-= If op.Type="ShiftZ" Then <Ffru?o4j DeleteOperation eID,count >?JUGXAi'{ count=count-1 <bW~!lv End If aj1g9y count=count+1 30I-E._F Wend ?
}ff O *N
~'0"# 'Set new shift in Xbx=h^S op.Type = "ShiftZ" 1
Lg {l op.val1 = taq #lMIs4i. op.parent = parID \25EI] AddOperation eID, op $HOe){G Print "Set aqueous humor thickness = " & taq-0.55 A?n5;mvq# 7R5ebMW
V '************************************************************************* :_HdOm 'Radius and conic constant of anterior lens DQu)?Rsk '************************************************************************* a6:hH@, eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) #G(ivRo GetConic eID, entity, curv, conic X^&--@l}T! 0[YksNNl1 SetConic eID, entity, 1/Rant, CCant ,\+N}F^
Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant t; #@t/` s."N7F '************************************************************************* {l/`m.Z 'Radius and conic constant of posterior lens D5Rp<PBq, '************************************************************************* Dby|l#X eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) M).CyY;bm GetConic eID, entity, curv, conic Zonn j7I?K
:op= SetConic eID, entity, 1/Rpost, CCpost >@G"*le*) Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost MR4k#{:w ^pY8'LF6 '************************************************************************* 73u97oe>1 'Lens thickness (Position of posterior lens surface) w?*79 u '************************************************************************* ep5`&g]3 SCn)j:gH; parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 4,YL15. *e:I*L ' Delete any z-shift(s) 'bH~KK5 count = 0 Y0Tw:1a While GetOperationCount(eID)>count _ A{F2M GetOperation eID, count, op z^9rM" If op.Type="ShiftZ" Then )iC@n8f7o DeleteOperation eID,count k=p[Mlic/ count=count-1 b
~]v'|5[ End If D\J.6W count=count+1 gE*7[*2?t Wend u^'X>n)oL# h{\S '8 'Set new z-shift yZoJD{'?Sw op.Type = "ShiftZ" 9zx9t op.val1 = tlens ;2?fz@KZ op.parent = parID GKUjtPu AddOperation eID, op 4kV$JV.l Print "Set lens thickness = " & tlens [\fwnS_1 BVus3Y5IJQ '************************************************************************* ]sP 'Lens index of refraction %ib7)8Ki0 '************************************************************************* XN\rq= eID = FindMaterial( "Lens" ) rkdA4'66w GetModelMaterial eID, mat ]TtID4qL {{pN7Z
mat.Nd = nlens )L":I SetModelMaterial eID, mat I
5ZDP| Print "Set lens index of refraction = " & nlens nsq7dhq V+U89j1g '************************************************************************* z.h;}QRJ,@ 'Pupil diameter +4qR5(W '************************************************************************* ,j(E>g3 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Ck
m:;q 9R-2\D] 'Adjust pupil diameter (trimming volume inner hole) tK# /S+l oRg,oy SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" %SCt_9u &b%2Jx[+ ' Adjust pupil location to just in front of the lens MU '- parID = FindFullName( "Geometry.Arizona Eye" ) k1P'Q&Na eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) p*1B*R count = 0 d}|z+D While GetOperationCount(eID)>count MlS5/9m@^ GetOperation eID, count, op 3-Xd9ou If op.Type="ShiftZ" Then "So"oT1 DeleteOperation eID,count xjAU
Csq count=count-1 /Q89 y[ End If 7dE.\#6r count=count+1 ?h|DeD!s Wend m9DTz$S. op.Type = "ShiftZ" f+)LVT8p op.val1 = taq-0.01 $n47DW& op.parent = parID #2Vq"Zn AddOperation eID, op w7q6v> xDS]k]/(T Print "Set pupil diameter = " & pupilDiam ,S`FxJcE ~oK0k_{~ 'Update AZ Eye subassembly Description +nB0O/m'U eID = FindFullName( "Geometry.Arizona Eye" ) Ty7`& GetEntity eID, entity
$Tt.r entity.Description = "Accommodation = " & A & "D" {(tR<z) SetEntity eID, entity sint":1FC
MpJ\4D5G Update \;Q!}_ K Print "DONE!" 5'`DrTOA 2\#$::B9 End Sub -Oz! GX !\Cu J5U 如果屈光度是4,光瞳直径是4,则会输出如下数据: ,R7j9#D '*@=SM Accommodation = 4 Diopters VP~%,= Pupil Diameter = 4 mm z_A\\ Set aqueous humor thickness = 2.81 4 +p1` Set anterior lens radius = 10.4 and conic constant = -2.375869 nKEw$~F Set posterior lens radius = -4.424557 and conic constant = -3.081019 OJM2t`}_t Set lens thickness = 3.927 _)YB*z5 Set lens index of refraction = 1.42672 V pY,@qh Set pupil diameter = 4 j+gh*\:q DONE! l0ZK)
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