|
|
简介 aP@N)" 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。 2*l/3VW h_3E)jc 模型 paE[rS\ J$w<$5UY 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。 `MN4uC V1`o%;j Table 1. AZ眼睛模型的定义 WUXx;9 > 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. :g=qz~2Xk [
=9T*Sp 光源 sW'AjI bSi%2Onj 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。 WH@,kH@ Ma']?Rb` ;~ $'2f~U 图1. 光源和提示信息使用 s.QwSbw-g 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。 @&3EJ1 i0kak`x0 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。 Q}K"24`= b;W3j 图2. 字母F光源的设定方法光 1N#|
}ad *:LK8U 图3. 字母F在视网膜上位置点列图 li'YDtMKCY 视网膜的散射 J~zUp(>K '/n1IM$7 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 6"5A%{J G kl71VX bL+_j}{:N 图4. 视网膜朗伯散射设定 gw3K+P 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 PI:4m%[ .* ?wF F Q7T'G![ 图5. 视网膜重点采样规格设定 )@l% 脚本 +yH7v5W Ms5ap<q# 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: ~"&|W'he[ 2Aazy'/ 图6. 用户对话框的创建与编辑 ;!mzyb* 图7. 用户对话框编辑器 F^t DL: 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 b_#m}yZ6 余下的脚本计算与屈光度有关的所有参数。 %Ycy{` gx8ouOh 分析 t?x<g <PJ4 Sw8]EH6 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 :bu/^mW[ 7{)G_?Q& 图7. 字母F在视网膜上颜色分析 5j<mbt} 脚本代码 vMi;+6'n> 9N%We|L,c Option Explicit 'Remove this to enable non-dimensioned variables to be used. a}BYov J6s`'gFns Dim entity As T_ENTITY \FbvHr, Dim op As T_OPERATION 1R{!]uh Dim mat As T_MODELMATERIAL z0p*Z& Dim A As Double /ivJsPH Dim pupilDiam As Double hl7bzKO*w Dim eID As Long pMx*F@&nU Dim parID As Long uGf@ Dim count As Integer h5{'Q$Erl Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double G_3O]BMKd) Dim tlens As Double, nlens As Double */)c?)" Dim curv As Double, conic As Double !*F1q|R Dim ok As Long fo*2:?K& G7`ko1- Sub Main [fya)} 6y%qVx#! '用户输入对话框 (lBCO?`fx Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 dUeN*Nq&(, TextBox 220,21,40,21,.TextBox1 'default: 0 E"\<s3 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 DkY4MH? OKButton 40,91,90,21 q1$N>;& CancelButton 190,91,90,21 ]_mb7X> Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 N_kMK TextBox 220,49,40,21,.TextBox2 'default: 4 ??-[eB. End Dialog :t"^6xt Dim dlg As UserDialog (Du@ S ~ drS} V ok = Dialog (dlg) F'={q{2wH V%7WUq If ok=0 Then 'cancel button was pressed Gv!2f Print "Execution cancelled." ]^. _z End =1FRFZI!j End If I+%[d^, {NmWQyEv 'Assign accommodation and pupil diameter & use defaults if field left empty U8s2|G;K If dlg.TextBox1 = "" Then $B2J
T9 A = 0 'Default accommodation fIx+ILs Else "(3[+W{| A = CDbl(dlg.TextBox1) !hA-_ End If & TCkpS 1jmjg~W If dlg.TextBox2 = "" Then =J]&c?I pupilDiam = 4 'Default pupil diameter DTX0 Else WA<v9#m pupilDiam = CDbl(dlg.TextBox2) ?(@
7r_j End If G*?8MTP8![ s$zLiQF; Print " " lF<]8m%F Print "Accommodation = " & A & " Diopters" `[y^ :mj Print "Pupil Diameter = " & pupilDiam & " mm" wm+};L&_ Hc;[Cs0 ' Calculate new parameters with accommodation j"8ZM{aO taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness $f$SNx)), gT6z9 Rant = 12.0 - 0.4*A 'Radius of anterior lens k90YV( CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens BwN0!lsF3 <.%4 !
}f8 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens WJ]T\DI CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens :p1u(hflS =1@u tlens = 3.767 + 0.04*A 'Lens thickness ,5P0S0*{ s-NX o nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction M:=J^0 ^L,K& Jd 'Adjust parameters to account for accommodation 8v6(qBK xBj9yu '************************************************************************* dUD[e,? 'Aqueous thickness (Position of Lens) h,(26 y/s '************************************************************************* 3#n_?- eID = FindFullName( "Geometry.Arizona Eye.Lens" ) xf'V{9* GetCustomElement eID, entity Ex.yU{|c =?5]()'*n parID = FindFullName( "Geometry.Arizona Eye" ) nd`1m[7MNu 4XL^D~V ' Delete any shift(s) in z p
.%]Q*8 count = 0 Ml`:UrU While GetOperationCount(eID)>count
>^O7 GetOperation eID, count, op Q*GN`07@?d If op.Type="ShiftZ" Then Hkg2P,2 DeleteOperation eID,count iR HQ:Y! count=count-1 RV1coC.g4x End If 7:e{;iG count=count+1 xPdG*OcX! Wend `T1 }czrj%6 'Set new shift in XjB W9a op.Type = "ShiftZ" C;v.S5x op.val1 = taq &L3M] op.parent = parID a1+oj7 AddOperation eID, op AI2~Jp Print "Set aqueous humor thickness = " & taq-0.55 IM*y|UHt D=TvYe '************************************************************************* 2bz2KB5> 'Radius and conic constant of anterior lens V( }:=eK '************************************************************************* PhLn8jNti eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) &*o=I|pQ GetConic eID, entity, curv, conic y4yhF8E>;U -+-?w|}qV SetConic eID, entity, 1/Rant, CCant +tB=OwU%0 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant rDtY[ }f%} v '************************************************************************* C-xr"]#] 'Radius and conic constant of posterior lens *9
{PEx '************************************************************************* O}gV`q; eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) &{5,:%PXw GetConic eID, entity, curv, conic 5#6|j?_a WH%g(6w1j SetConic eID, entity, 1/Rpost, CCpost Fk7?xc Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost H;is/ *YI98 '************************************************************************* XE RUo 'Lens thickness (Position of posterior lens surface) /|w6:;$;mn '************************************************************************* oE@a'*.\ qfF~D0} parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 3qgS&js 7 _1X!EH" ' Delete any z-shift(s) m<G,[Yc count = 0 ?Rb9|`6 While GetOperationCount(eID)>count 2F[ q). GetOperation eID, count, op PxX4[ P If op.Type="ShiftZ" Then 2F;y;l% DeleteOperation eID,count q~Hn-5H4Q count=count-1 .D~;u-%|F End If z9f-.72"X count=count+1 ~i= _J3' Wend R>|{N9 =}^9 wP 'Set new z-shift .N;=\C* op.Type = "ShiftZ" @)F )S7 op.val1 = tlens 299H$$WS,Z op.parent = parID Xfc-UP|} AddOperation eID, op `?H]h"{7Q Print "Set lens thickness = " & tlens 2y\E[j A umBICC]CU '************************************************************************* J`Q>3]wL 'Lens index of refraction &N9
a<w8+ '************************************************************************* Y;eZ9|Ht9 eID = FindMaterial( "Lens" ) ^S<Y>Nm] GetModelMaterial eID, mat
p>,|50| ZmqKQO mat.Nd = nlens Wb,KjtX SetModelMaterial eID, mat ";lVa'HMZ Print "Set lens index of refraction = " & nlens uh_RGM& Oxnp0 s '************************************************************************* G&SB- 'Pupil diameter .8g)av+ '************************************************************************* of~4Q{f$6 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 2>9C-VL2 )CYGQMK 'Adjust pupil diameter (trimming volume inner hole) o#)C^xlQ jwe *(k]z SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" qx(xvU9 ~Gp[_ %K ' Adjust pupil location to just in front of the lens B4/>H| parID = FindFullName( "Geometry.Arizona Eye" ) @n/\L< |