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简介 sLk-x\P]| EU#^7 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。 |.dRily+ 6S#Cl>v 模型 3so%gvY.' BA.uw_^4 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。 v$9y,^p@e
rJB}qYD Table 1. AZ眼睛模型的定义 =_^X3z0 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. :4|4 =mkr 46;uW{EY 光源 '3;b@g,
\=o- 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 lTsjxw
o %so]L+r2! %iB,IEw 图1. 光源和提示信息使用 mE[y SrV 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 O/LXdz0B G~m<; 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 2mU.7!g) :Dp0?&_ 图2. 字母F光源的设定方法光 6LhTBV AQ Ojit6p 图3. 字母F在视网膜上位置点列图 mkpMfPt 视网膜的散射 -\MG}5?! I1J-)R+ 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 Hr C+Yjp O.M1@w] Y/oHu@
_ 图4. 视网膜朗伯散射设定 ~J]qP #C 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 i/.6>4tE: 'ga/ ^J{:x 图5. 视网膜重点采样规格设定 HOi`$vX}N 脚本 wuBPfb Y-9I3?ar 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: ry]l.@o; A%vbhD2;W 图6. 用户对话框的创建与编辑 e+|sSp A 图7. 用户对话框编辑器 OrW 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。 \7_y%HR 余下的脚本计算与屈光度有关的所有参数。 I =#$8l.* SX#&5Ka/ 分析 Ul# r $VR{q6[0S? 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 >mkFV@` ,: ^u-b| 图7. 字母F在视网膜上颜色分析 ~M$Wd2Th 脚本代码 %2h>-.tY fV~~J2IK Option Explicit 'Remove this to enable non-dimensioned variables to be used. dWW.Y*339 C,zohlpC Dim entity As T_ENTITY 'fW-Y!k% Dim op As T_OPERATION HKe K<V Dim mat As T_MODELMATERIAL Bp{Ri_&A Dim A As Double tX[WH\(xI Dim pupilDiam As Double d_CT$ Dim eID As Long )PZT4jTt Dim parID As Long SfR%s8c` Dim count As Integer j1Ezf=N6` Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double w(F%^o\ Dim tlens As Double, nlens As Double afk>+4q Dim curv As Double, conic As Double d5 -qZ{W Dim ok As Long 3gzXbP, @]0%L0u Sub Main M\=2uKG# T{'RV0%
'用户输入对话框 ?cZlN! Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 @nf`Gw ; TextBox 220,21,40,21,.TextBox1 'default: 0 DwF hK* Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 V)4J`xg^ OKButton 40,91,90,21 31)&vf[[ CancelButton 190,91,90,21 JS77M-Ac Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Wl4%GB TextBox 220,49,40,21,.TextBox2 'default: 4 h];I{crh End Dialog
8Y?;x} Dim dlg As UserDialog V8(- \NC3'G:Ii ok = Dialog (dlg) u:EiwRW ^Dx&|UwiZa If ok=0 Then 'cancel button was pressed z{>Rc"%\ Print "Execution cancelled." mc3"`+o End $!DpjN End If 11lsf/IP Pc9H0\+Xk 'Assign accommodation and pupil diameter & use defaults if field left empty _f{{( 7 If dlg.TextBox1 = "" Then &{i{XcqH' A = 0 'Default accommodation 0$njMnB2l Else SAz A = CDbl(dlg.TextBox1) KSL`W2} End If I_BJH'!t W>LR\]Ti@ If dlg.TextBox2 = "" Then =lC7gS!U pupilDiam = 4 'Default pupil diameter
bZ6+,J Else +h$
9\ pupilDiam = CDbl(dlg.TextBox2) m kexc~l End If uw7zWJ
n ;Xw~D_uv Print " " 54/=G(F Print "Accommodation = " & A & " Diopters" IK]d3owA Print "Pupil Diameter = " & pupilDiam & " mm" YS ][n_ ctUp=po ' Calculate new parameters with accommodation Uz7<PLxd taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness W%J\qA A=4OWV? Rant = 12.0 - 0.4*A 'Radius of anterior lens 5X+A"X
;C CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens qb4z
T xkn;,`t^lJ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens BuwY3F\-O CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens UI#h&j5pW T;uX4,|( tlens = 3.767 + 0.04*A 'Lens thickness fZ. ONq Q20%"&Xp] nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction _g.{MTQ $u.z*b_yy 'Adjust parameters to account for accommodation 1"g<0
W xfQ1T)F3g '************************************************************************* AR=]=8 'Aqueous thickness (Position of Lens) $C\BcKlmv '************************************************************************* ZW}_DT0 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 5m*,8 ]!- GetCustomElement eID, entity oQ# 8nu{k nK,w]{<wG! parID = FindFullName( "Geometry.Arizona Eye" ) PM+[,H &o*A{ ' Delete any shift(s) in z Uv.)?YeGh count = 0 HDLk>_N_s, While GetOperationCount(eID)>count kFB GetOperation eID, count, op YMgNzu If op.Type="ShiftZ" Then _LPHPj^Pg DeleteOperation eID,count 9my^Y9B count=count-1 uS-|wYE End If P'2Qen* count=count+1 99S^f:t Wend e!Hh s/&!T
eIlva? 'Set new shift in ;I*o@x_ op.Type = "ShiftZ" {FGj]* op.val1 = taq M{\I8oOg op.parent = parID s>en AddOperation eID, op RpK@?[4s Print "Set aqueous humor thickness = " & taq-0.55 R2; O}P`P'Y|' '************************************************************************* hc1N~$3!G 'Radius and conic constant of anterior lens 8QK&_n* '************************************************************************* TJN4k@\$2 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Tk>#G{Wb- GetConic eID, entity, curv, conic H[gWGbPq7 %RVZD#zr SetConic eID, entity, 1/Rant, CCant 9z0p5)]n> Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 4JEpl'5^Q C}X\|J '************************************************************************* ),)lzN%! 'Radius and conic constant of posterior lens O8o3O
6[Y '************************************************************************* C+]I@Go'Tk eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) /{[o~:'p GetConic eID, entity, curv, conic lk!@? .6> w'F{> SetConic eID, entity, 1/Rpost, CCpost j+!v}*I![ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost FlQGgVN D@KlOU{< '************************************************************************* \G BuWY3B 'Lens thickness (Position of posterior lens surface) ==B6qX8T '************************************************************************* 5s XXM 7nSxi+6e parID = FindFullName( "Geometry.Arizona Eye.Lens" ) No$3"4wk CAlCDfKW} ' Delete any z-shift(s) UBs4K*h|
count = 0 $:6!H:ty While GetOperationCount(eID)>count Y@v>FlqI{ GetOperation eID, count, op =%7-ZH9 If op.Type="ShiftZ" Then +mPx8P&% DeleteOperation eID,count ^pS~Z~[d/ count=count-1 TrNF=x> End If yVfC-Z count=count+1 =AT."$r>
Wend ni<(K
0~ <%^&2UMg 'Set new z-shift 'R)Tn!6 op.Type = "ShiftZ" 6b,V;#Anj op.val1 = tlens 7^Uv7<pw op.parent = parID y}
'@R$ AddOperation eID, op d5b%
W3 Print "Set lens thickness = " & tlens zCA2X
!7F K:M8h{Ua '************************************************************************* rOYx
b }1 'Lens index of refraction yauvXosX '************************************************************************* ]|@^1we eID = FindMaterial( "Lens" ) 54,er$$V GetModelMaterial eID, mat /
1RpM]d bD^owa mat.Nd = nlens =wJX0A| SetModelMaterial eID, mat }\f0 A- Print "Set lens index of refraction = " & nlens :0/7, i qK+5NF| '************************************************************************* b>W%t 'Pupil diameter km(Po} '************************************************************************* s~>}a eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) #tHK"20 wzA$'+Mb 'Adjust pupil diameter (trimming volume inner hole) aXVFc5C\ 0K+ne0I SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" y-k.U% ks tIgcI
' Adjust pupil location to just in front of the lens GyIV
Hby parID = FindFullName( "Geometry.Arizona Eye" ) @~e5<:|5# eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) hxx.9x>ow count = 0 6863xOv{T While GetOperationCount(eID)>count mw!F{pw GetOperation eID, count, op _t$sgz& If op.Type="ShiftZ" Then 3]>| i DeleteOperation eID,count /z!%d%" count=count-1 F2WKd1U End If w
xH7?tsf count=count+1 5R-6ji Wend RN1_S op.Type = "ShiftZ" dG{A~Z z op.val1 = taq-0.01 :h$$J
lP op.parent = parID !VJoM,b8 AddOperation eID, op *|0 -~u%q yfSmDPh Print "Set pupil diameter = " & pupilDiam D-c4EV 2T35{Q!=F 'Update AZ Eye subassembly Description 8y L Y eID = FindFullName( "Geometry.Arizona Eye" ) Z r8*et GetEntity eID, entity y `UaB3q entity.Description = "Accommodation = " & A & "D" uD'6mk* SetEntity eID, entity M7T5
~/4 bsX[UF Update ,hVli/
Print "DONE!" %{|p j
+ ?}0 ,o. End Sub O?2DQY?jT .3;;;K9a~] 如果屈光度是4,光瞳直径是4,则会输出如下数据: vt8By@]: CrLrw T Accommodation = 4 Diopters ";F'~}bDA Pupil Diameter = 4 mm zfU{Kd Set aqueous humor thickness = 2.81 ;I}fBZ3
Set anterior lens radius = 10.4 and conic constant = -2.375869 K-4PI+qQ\ Set posterior lens radius = -4.424557 and conic constant = -3.081019 t_^4`dW` Set lens thickness = 3.927 Y7|EIAU5Y Set lens index of refraction = 1.42672 +%'(!A?*` Set pupil diameter = 4 ]G\}k DONE! aUp
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