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简介 j=AJs< 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。 \7j)^ FoG<$9 模型 `X^e}EGWu \34|9#*z- 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 W"-nzdAJ5 `p ?E{k.N Table 1. AZ眼睛模型的定义 -.*\J|S@g 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. Ys_YjlMIbl ;Z`)*TRp4 光源 |wb7`6g JZXc1R| 9 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 wwAT@=X*} O^x t aXJe"IT.u 图1. 光源和提示信息使用 y*(YZ zF 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 2DC#PX)i 8Cqs@<r4Od 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 4By-+C* 0/gcSW
b 图2. 字母F光源的设定方法光 L,D>E Ii,:+o% 图3. 字母F在视网膜上位置点列图 j&Aq^aI 视网膜的散射 h^0mjdSp, VxFy[rP 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 :9YQX(l8 S }n;..{ []]3"n 图4. 视网膜朗伯散射设定 JgB# EoF 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 L&N"&\K2U Xp~]kRm9 (Lo2fY5 图5. 视网膜重点采样规格设定 yn#h$o< 脚本 7asq]Y}< vRq xZN 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: }m H>lN _5T7A><q< 图6. 用户对话框的创建与编辑 +Y~+o-_ 图7. 用户对话框编辑器 Vd0GTpB?1 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。 4PWr;& 余下的脚本计算与屈光度有关的所有参数。 yx2.7h3 '/H(,TM 分析 Y2X1!Em>B Du>HF;Fv 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 (OqJet2{+ ~&}O|B() 图7. 字母F在视网膜上颜色分析 vs. uq 脚本代码 _o.Z`] ^PQV3\N Option Explicit 'Remove this to enable non-dimensioned variables to be used. %jxuH+L
=b7&(x Dim entity As T_ENTITY "AouiZkh Dim op As T_OPERATION M: "ci;*$ Dim mat As T_MODELMATERIAL doc Dim A As Double TyWy5J<
:+ Dim pupilDiam As Double \vsrBM Dim eID As Long C.E>) Dim parID As Long hzLGmWN2j8 Dim count As Integer $Jm2,Yv Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double :*@|"4 Dim tlens As Double, nlens As Double \=7=>x_ Dim curv As Double, conic As Double pYVy(]1I(3 Dim ok As Long H040-Q;S' y.:- Sub Main Yd;r8rN ['emP1g~ '用户输入对话框 Z]TVH8%|k Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 d5y2Y/QO TextBox 220,21,40,21,.TextBox1 'default: 0 s7o*|Xv Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 d;SRK @ OKButton 40,91,90,21 |V\.[F2Fe CancelButton 190,91,90,21 j dhml%pAd Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ZPsY0IzLo TextBox 220,49,40,21,.TextBox2 'default: 4 !2|`aa End Dialog Sqf.#}u<= Dim dlg As UserDialog iwJ-<v_:h P$/A! r ok = Dialog (dlg) oRThJ B 2U'JzE^Do If ok=0 Then 'cancel button was pressed a<'$` z|s Print "Execution cancelled." Zk#i9[g9* End bM^A9BxD End If 8.Ef 5-m HoE.//b 'Assign accommodation and pupil diameter & use defaults if field left empty jL+}F /~r If dlg.TextBox1 = "" Then #}7m'F A = 0 'Default accommodation DG*o
w^ Else +N$7=oGC A = CDbl(dlg.TextBox1) = )l: ^+q End If 8+a<#?; wT~;tOw~ If dlg.TextBox2 = "" Then |C6(0fgWd pupilDiam = 4 'Default pupil diameter [l%fL9 Else ?VZXJO{^ pupilDiam = CDbl(dlg.TextBox2) 7]xz8t End If kqigFcz!Y >?W;>EUH Print " " liw 9:@+V Print "Accommodation = " & A & " Diopters" fyq]M_5 Print "Pupil Diameter = " & pupilDiam & " mm" 8+|V!q JJ9e{~0I ' Calculate new parameters with accommodation x";.gjI |g taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness <<On*#80w
*!]Epb Rant = 12.0 - 0.4*A 'Radius of anterior lens ^$+f3Z' CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens V@n(v\F @~#79B"9& Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 7cmr
*y CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens y~c4:*L3 O4d^ig-xaH tlens = 3.767 + 0.04*A 'Lens thickness 0?Tk* X KT;C RO> nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction aRO_,n9 )-?uX.E{ 'Adjust parameters to account for accommodation %Di7u- x ?Y6la.bc{ '************************************************************************* />^`*e_ 'Aqueous thickness (Position of Lens) JIbzh?$aD '************************************************************************* &>zy_) eID = FindFullName( "Geometry.Arizona Eye.Lens" ) qe6C|W~n GetCustomElement eID, entity E0)mI)RW. `k{ ff parID = FindFullName( "Geometry.Arizona Eye" ) gc2|V6( ?9zoQ[ ' Delete any shift(s) in z jU4)zN/`r count = 0 `YmI' While GetOperationCount(eID)>count |6(qg5" GetOperation eID, count, op ( ln If op.Type="ShiftZ" Then ~b$z\|Y DeleteOperation eID,count ~0[G/A$] count=count-1 8A8xY446) End If 1f@U:<: count=count+1 0(U3~k6 Wend $~G0#JL ~Miin 'Set new shift in fJn3"D' op.Type = "ShiftZ" $E`iqRB op.val1 = taq 01-\:[{ op.parent = parID 76IALJ00V AddOperation eID, op *`g-gk Print "Set aqueous humor thickness = " & taq-0.55 *<.WL"Qhl )kL`&+#> '************************************************************************* iUxDEt[t* 'Radius and conic constant of anterior lens =Y]'5cn{ '************************************************************************* .sJys SA\ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) =hugnX<9 GetConic eID, entity, curv, conic /UaNYv/ S4 k^&$; SetConic eID, entity, 1/Rant, CCant `Dz]z_
Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant !4 4mT'Y K.V!@bPlw9 '************************************************************************* %7C%`)T] 'Radius and conic constant of posterior lens p;n3`aVh '************************************************************************* n&YW".iG eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) <(#xOe GetConic eID, entity, curv, conic qUEd
E`B 9N*S-Po= SetConic eID, entity, 1/Rpost, CCpost k}I5x1>& Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost wcdW72 *@ <8&M9x '************************************************************************* #!8^!}nFO 'Lens thickness (Position of posterior lens surface) z,}c?BP '************************************************************************* x ^M5D+o AT%*
~tr parID = FindFullName( "Geometry.Arizona Eye.Lens" ) M\\e e3Ih h7de9Rt ' Delete any z-shift(s) 8u:v:>D.' count = 0 @pqY9_:P1 While GetOperationCount(eID)>count kO..~@aY GetOperation eID, count, op )tN?: l If op.Type="ShiftZ" Then NRHr6!f> DeleteOperation eID,count (E"&UC[ count=count-1 (<]\,pP0_ End If vDK:v$g count=count+1 o;M.Rt\A Wend p@cfY]<7 )d770Xg+ 'Set new z-shift F.~n op.Type = "ShiftZ" 2d5}`> op.val1 = tlens "4Lg8qm op.parent = parID Wz6]*P`qv AddOperation eID, op ;xW8Z<\- Print "Set lens thickness = " & tlens :"OZc7
~ Eu`2w%qz '************************************************************************* cW81 'Lens index of refraction J^ +_8 '************************************************************************* ^f^-.X eID = FindMaterial( "Lens" ) r,`Z.A GetModelMaterial eID, mat $'A4RVVT ,h%D4EVx mat.Nd = nlens 1&X}1 SetModelMaterial eID, mat KXoL,)Hl Print "Set lens index of refraction = " & nlens jgo e^f ^3Z7dIUww '************************************************************************* ;=5@h!@R 'Pupil diameter ONjC(7 '************************************************************************* HpB!a,R6B eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) s
jL*I -:)DX++ 'Adjust pupil diameter (trimming volume inner hole) J-t=1 #d}0}7ue SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" CTh1+&Pa ;yk9(wea}" ' Adjust pupil location to just in front of the lens jgk{'_ j parID = FindFullName( "Geometry.Arizona Eye" ) A5CdLwk eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) h|J;6Sm@ count = 0 { c v;w While GetOperationCount(eID)>count K(-G: | GetOperation eID, count, op fkdf~Vb If op.Type="ShiftZ" Then :`:xP DeleteOperation eID,count e+NWmu{<_ count=count-1 ^-gfib|VGe End If /HB+ami, count=count+1 o\_
Td Wend *0=fT}&! op.Type = "ShiftZ" [MV`pF)x op.val1 = taq-0.01 D3<IuWeM op.parent = parID AkxH AddOperation eID, op r/UYC"K3 ^7i^ \w0 Print "Set pupil diameter = " & pupilDiam 8!Wfd)4=,F Iv'RLM 'Update AZ Eye subassembly Description pBlRd{#fL eID = FindFullName( "Geometry.Arizona Eye" ) L_tjcfVo GetEntity eID, entity ,]0S4h67 entity.Description = "Accommodation = " & A & "D" 4a\n4KO X SetEntity eID, entity U8 Z~Y}29 4 hL`=[AB Update gsW=3m&` Print "DONE!" wY' "ab ^{),+S End Sub t{+M|Y 77+|#<J 如果屈光度是4,光瞳直径是4,则会输出如下数据: *
eA{[ IO}+[%ptc* Accommodation = 4 Diopters TcR=GR*cJ Pupil Diameter = 4 mm /m97CC#+ Set aqueous humor thickness = 2.81 9OPK4- Set anterior lens radius = 10.4 and conic constant = -2.375869 MinbE13?U Set posterior lens radius = -4.424557 and conic constant = -3.081019 WLE%d]'%M Set lens thickness = 3.927 6a7vlo Set lens index of refraction = 1.42672 +#0~:&!9 Set pupil diameter = 4 7;^((.]ln DONE! q_-ma_F#s Xwn3+tSIa (文章来源:讯技光电)
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