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简介 >m$ 1+30X r%+V8o 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。 5bgs*.s t)}scf&^x 模型 ^t#&@-'(d ;4pYK@9w_ 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。 c(~[$)i6 #}y2)g Table 1. AZ眼睛模型的定义 5yz(>EVH 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. N=7pK&NHSG 3(,?S$> 光源 _+E5T*dk ,JQp'e 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。 1waTTT?"Ho |mw.qI| |Ur"&
Z{ 图1. 光源和提示信息使用 ?o|f': 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。 =7m)sxj]w u@cYw:-C 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。 Z'7 (O(}p~s 图2. 字母F光源的设定方法光 j=r P:#
z\%67C 图3. 字母F在视网膜上位置点列图 [UWdW 视网膜的散射 !*B'?|a<\ NdD`Hn- 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。 {C N~S*m I!Z_[M U ^5Kz-5. 图4. 视网膜朗伯散射设定 vkEiOFU!u 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。 %_%Q8,W eEv@}1~ I7n"&{s"* 图5. 视网膜重点采样规格设定 4i(JZN? 脚本 aGtf z) VoWNW 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: Vg>dI&O VKG&Y_7N 图6. 用户对话框的创建与编辑 <(fRn`)PT 图7. 用户对话框编辑器 S79;^X 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。 Pama#6?OPh 余下的脚本计算与屈光度有关的所有参数。 DN-+osPi %4,O 2\0?& 分析 lvBx\e;7P 1VG4S){}\9 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ;RC{<wBTx r") `Ph@yp 图7. 字母F在视网膜上颜色分析 KyYM fC 脚本代码 [S9K6%w_! i]YV { Option Explicit 'Remove this to enable non-dimensioned variables to be used. 7byK{{/z mGJKvJF
Dim entity As T_ENTITY {GK;63`1 Dim op As T_OPERATION e.7EU Dim mat As T_MODELMATERIAL 59Xi3KY Dim A As Double @"Fme-~ Dim pupilDiam As Double )U7t Dim eID As Long Z<1FSk,[ Dim parID As Long v&Yi Dim count As Integer r~jm`y Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double }Gz~nf% Dim tlens As Double, nlens As Double 1PVtxL?1P Dim curv As Double, conic As Double 7~^GA.92 Dim ok As Long Fq~yL!#! "}u.v?HYz Sub Main 9YIM'q>`v wSzv|\
G '用户输入对话框 DBW[{DE Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 m4hX 'F TextBox 220,21,40,21,.TextBox1 'default: 0 "CSsCA$/ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 xu/cq9 OKButton 40,91,90,21 &zl|87M CancelButton 190,91,90,21 >Ea8G, Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 q8X feoUV TextBox 220,49,40,21,.TextBox2 'default: 4 rq8K_zp End Dialog nrL9
E'F' Dim dlg As UserDialog B8.Pn \rx3aJl ok = Dialog (dlg) {C 6=[ "cE7
5 If ok=0 Then 'cancel button was pressed fM]+SMZy Print "Execution cancelled." f/
?_ End $?
m9") End If 0t^M3+nc r@72|:, 'Assign accommodation and pupil diameter & use defaults if field left empty 1t:Q_j0Ym If dlg.TextBox1 = "" Then :#LLo}LKp A = 0 'Default accommodation ;+W#5<i Else ^!<U_;+ A = CDbl(dlg.TextBox1) F |d\k Q End If fV &KM*W*@ 0ZT5bg_M If dlg.TextBox2 = "" Then ZOft.P O pupilDiam = 4 'Default pupil diameter TC@s
Else #^`4DhQ/
1 pupilDiam = CDbl(dlg.TextBox2) X^T:8npxt End If W^0w e bm])~ZL Print " " 4iqoR$3Fc Print "Accommodation = " & A & " Diopters" UR%/MV Print "Pupil Diameter = " & pupilDiam & " mm" Lrta/SU* aH 4c02s$ ' Calculate new parameters with accommodation I3=%h taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Z,RzN5eN W}3.E "K Rant = 12.0 - 0.4*A 'Radius of anterior lens &qMPq-> CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens k&&2Tq }O/U;4Z Rpost = -5.224557 + 0.2*A 'Radius of posterior lens dq7x3v^"ZG CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens = 6tHsN23 z{[xze-f tlens = 3.767 + 0.04*A 'Lens thickness fdxLAC *'OxAfa#x nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction TMAJb+@l: V_C-P[2~ 'Adjust parameters to account for accommodation ?5U2D%t ,LTH;<zB) '************************************************************************* |M>eEE*F< 'Aqueous thickness (Position of Lens)
:l~ I '************************************************************************* Vx(B{5>Vu eID = FindFullName( "Geometry.Arizona Eye.Lens" ) BHd&yIyI GetCustomElement eID, entity V_>\9m CEXyrs< parID = FindFullName( "Geometry.Arizona Eye" ) /d0K7F `Y
BC ' Delete any shift(s) in z QZ4v/Ou count = 0 $iI]MV%= While GetOperationCount(eID)>count DamCF GetOperation eID, count, op cnSJ{T If op.Type="ShiftZ" Then &yGaCq;0 DeleteOperation eID,count @'YS1 N< count=count-1 3Th'p aMG End If 0FGe=$vD count=count+1 cYFiJJLG] Wend |w_7_J2 >QA uEM 'Set new shift in `%CtWJ(e op.Type = "ShiftZ" anIAM op.val1 = taq h lkn% op.parent = parID SPN5dE.@ AddOperation eID, op I3
.x9 Print "Set aqueous humor thickness = " & taq-0.55 {8 8 )~ pF&(7u '************************************************************************* ' pm2n0 'Radius and conic constant of anterior lens xB_!>SqF1U '************************************************************************* #~SP)Ukp eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) cU0s
p GetConic eID, entity, curv, conic ]GN7+8l 7G.#O}).b SetConic eID, entity, 1/Rant, CCant |o,8V p Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ulu9'ch +u!0rLb '************************************************************************* jZh';M8" 'Radius and conic constant of posterior lens hfnN@Kg?B} '************************************************************************* >2~+.WePu eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ktj]:rCkF GetConic eID, entity, curv, conic K)qF+Vb^j Q@
2i~Qo[ SetConic eID, entity, 1/Rpost, CCpost mocI&=EF2X Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost HFwN D<8HZ%o '************************************************************************* ,Vh.T&X5 'Lens thickness (Position of posterior lens surface) p[<Dk$7K '************************************************************************* Vy*:ne }@Ge}9$h parID = FindFullName( "Geometry.Arizona Eye.Lens" ) YhOlxON +x_Rfk$fb ' Delete any z-shift(s) T%6&PrQ7 count = 0 Eq$&qV-?( While GetOperationCount(eID)>count
Y^
kXSU GetOperation eID, count, op 1QmH{jM If op.Type="ShiftZ" Then .q[SI$qO/ DeleteOperation eID,count ?*?RP)V count=count-1 OR}c)|1 End If X5X?&* %{ count=count+1 [%9noB Wend qHNE8\9 L3G \ 'Set new z-shift DA2}{ op.Type = "ShiftZ" kGd<5vCs op.val1 = tlens ;QW3CEaUq op.parent = parID Pcu#lWC$ AddOperation eID, op ,WJH}(h"D Print "Set lens thickness = " & tlens {"&SJt[%X (FJ9-K0b{n '************************************************************************* d?:=PH 'Lens index of refraction <Q?a=4 '************************************************************************* |1ST=O7.LH eID = FindMaterial( "Lens" ) u0#}9UKQ GetModelMaterial eID, mat DyQM>xw)t ;5tazBy&:C mat.Nd = nlens V5GW:QT SetModelMaterial eID, mat lu#LCG-. Print "Set lens index of refraction = " & nlens rAs,X [8Qro8 '************************************************************************* jCrpL~tWT 'Pupil diameter :=8t"rO=W '************************************************************************* #
eCjn eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) `5~ +,/Ys ^2$ lJ 'Adjust pupil diameter (trimming volume inner hole) +,yK;^b hgLj< SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" -0_d/'d sf]s",t~J ' Adjust pupil location to just in front of the lens .[Ap=UYI> parID = FindFullName( "Geometry.Arizona Eye" ) cuK,X!O eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) hUD7_arKF
count = 0 <)\y#N While GetOperationCount(eID)>count ~}!3G GetOperation eID, count, op = <j"M85. If op.Type="ShiftZ" Then Iw<j T|y) DeleteOperation eID,count m$9w"8R count=count-1 M@3"<[g End If ;L|uIg;.s count=count+1 *loOiM\5a Wend /s-A?lw^2 op.Type = "ShiftZ" UG'bOF4 op.val1 = taq-0.01 ?-tVSRKQ op.parent = parID $2<d<Um~z AddOperation eID, op d/}SAvtt A].>.AI Print "Set pupil diameter = " & pupilDiam oW^*l#v XxDaz1 'Update AZ Eye subassembly Description k"g._|G eID = FindFullName( "Geometry.Arizona Eye" ) gr-fXZO GetEntity eID, entity uNn[[LS entity.Description = "Accommodation = " & A & "D" PlYm& SetEntity eID, entity kNT}dv]< fK&e7j`qO Update 4CQ"8k(S" Print "DONE!" %+ FG ,d $5L0.$Tj End Sub `xiCm': SlSM+F 如果屈光度是4,光瞳直径是4,则会输出如下数据: q~L^au8 _/S?# Accommodation = 4 Diopters ^FZ^6* Pupil Diameter = 4 mm @\w,otT Set aqueous humor thickness = 2.81 l%Gw_0.?e Set anterior lens radius = 10.4 and conic constant = -2.375869 +3i7D Set posterior lens radius = -4.424557 and conic constant = -3.081019 N$TL;T> Set lens thickness = 3.927 u*7Z~R Set lens index of refraction = 1.42672 w[_x(Ojq; Set pupil diameter = 4 CC;! <km DONE! ]O{u tm
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