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简介 j\.\ePmk] y]TNjLpo$ 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。 D!CuE7} qI#ow_lL# 模型 JLH,:2 ,?zOJ,wl 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。 ZMI
vzQYI <<.%Gk Table 1. AZ眼睛模型的定义 \cRe,(?O 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. hz~jyH.h_ LX_{39?<{ 光源 bjYaJtn 2%(RB4+ 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。 =Frbhh57 W;@9x1jKX u.Z,HsEO b 图1. 光源和提示信息使用 eGh7 ,wngH 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。 6`l7saHXE \w+a Q?e_ 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。 Yl$Cj>FG 1xE*quhrh 图2. 字母F光源的设定方法光 &i%1\o $(U}#[Vie
图3. 字母F在视网膜上位置点列图 S|?Ht61k 视网膜的散射 mtn+bV
R% gaXKP1m^ 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 aR~Od Ys Yab=p
9V;; {-?8r> 图4. 视网膜朗伯散射设定 xRU ~hQ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 j1{\nP/ s.7s:Q` ,t=12R]> 图5. 视网膜重点采样规格设定 pRLs*/Bw 脚本 5zBayJh# :u$+lq 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: Lc:DJA .A2u7*h& 图6. 用户对话框的创建与编辑 +)gXU Vwd 图7. 用户对话框编辑器 mv+K!T6 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。 r0 6M.r 余下的脚本计算与屈光度有关的所有参数。 }lzN)e ~1yMw.04V 分析 8K/o / w(xRL#% 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 tSvklI )QvuoaJQ 图7. 字母F在视网膜上颜色分析 IAJYD/Y&? 脚本代码 7berkU0P 4:
<=%d Option Explicit 'Remove this to enable non-dimensioned variables to be used. 6b8@6;&LI 0fd\R_"d. Dim entity As T_ENTITY P_w\d/3 Dim op As T_OPERATION 0u"/7OU Dim mat As T_MODELMATERIAL r
7mg>3 Dim A As Double 2iM8V Dim pupilDiam As Double |_P- Dim eID As Long ]$vJK Dim parID As Long GK/Q]}Q8pZ Dim count As Integer i;Y@>-[e< Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double +L$,jZqS Dim tlens As Double, nlens As Double ",
:Ta| Dim curv As Double, conic As Double X}5aE4K/ Dim ok As Long (cj3[qq I:qfB2tL)O Sub Main 9A4h?/ XFg.Z+ # '用户输入对话框 dWI.t1`i Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 r_kw "9 TextBox 220,21,40,21,.TextBox1 'default: 0 ;Q]j"1c Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 B!(t<W8cu OKButton 40,91,90,21 '%m0@5|hCD CancelButton 190,91,90,21 Y)@PGxjz Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 .2b) rKo~ TextBox 220,49,40,21,.TextBox2 'default: 4 ,ZYj8^gF End Dialog {xC CUU Dim dlg As UserDialog elgCPX&:W A!kNqJ2 ok = Dialog (dlg) Iy}r'#N 3PonF4 If ok=0 Then 'cancel button was pressed wnE
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Print "Execution cancelled." P'Fy,fNg End e<>Lr End If >t"]gQHtx S%ri/}qI[{ 'Assign accommodation and pupil diameter & use defaults if field left empty 5g-apod If dlg.TextBox1 = "" Then axY-Vj A = 0 'Default accommodation {tE/Jv $ Else bw7!MAXd A = CDbl(dlg.TextBox1) bmAgB}Ior End If [hg|bpEG 2.2Z'$W If dlg.TextBox2 = "" Then ndm19M8Y| pupilDiam = 4 'Default pupil diameter fJCh Else JXlFo3< pupilDiam = CDbl(dlg.TextBox2) dv0TJ 0% End If eh'mSf^=p WRAW%?$ Print " " QD:0iD? Print "Accommodation = " & A & " Diopters" 8-5a*vV,> Print "Pupil Diameter = " & pupilDiam & " mm" x~GV#c \2<2&=h? ' Calculate new parameters with accommodation T^a {#B taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness LIH>IpamN Xl6)& Rant = 12.0 - 0.4*A 'Radius of anterior lens Z"gllpDr$ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens -aNTFt~|[ Et'C4od s Rpost = -5.224557 + 0.2*A 'Radius of posterior lens c
3@SgfKmk CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ZW2#'$b b,a\`%m} tlens = 3.767 + 0.04*A 'Lens thickness !9"R4~4 1#qCD["8 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction .bl0w"c^qq {NK>9phoB 'Adjust parameters to account for accommodation fC3IxlG IQ{Xj3;?y '************************************************************************* =] 5;=>( 'Aqueous thickness (Position of Lens) V8Q#%#)FHe '************************************************************************* (?\ZN+V) eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 9L#B"lh GetCustomElement eID, entity pOI+ "tIf$z parID = FindFullName( "Geometry.Arizona Eye" ) -R'p^cMA UKK}$B ' Delete any shift(s) in z g}^/8rW count = 0 e(
^9fg_SG While GetOperationCount(eID)>count ,:\2Lf GetOperation eID, count, op &up/`8 If op.Type="ShiftZ" Then *Kzs(O DeleteOperation eID,count ga^<_;5< count=count-1 0]oQ08 End If :=L[kzX count=count+1 pjj
5 Wend p>eD{#2 SbnVU[ 'Set new shift in P'9aZd op.Type = "ShiftZ" J#V`W&\,6 op.val1 = taq IVNNiNN*5 op.parent = parID CJKH"'u3^ AddOperation eID, op j|G-9E Print "Set aqueous humor thickness = " & taq-0.55 , D1[}Lr=K RO.(k!J . '************************************************************************* .`'SL''c 'Radius and conic constant of anterior lens M<$l&%<`G '************************************************************************* 4\ OELU eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 3X!~*_iC GetConic eID, entity, curv, conic F[=m|MZb @&ZTEznbyt SetConic eID, entity, 1/Rant, CCant 3+|6])Hi1 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant jATU b-
?ha}# '************************************************************************* `u>BtAx8 'Radius and conic constant of posterior lens rFy9K4D '************************************************************************* <dYk|5AdLF eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) BWPYHWW}E GetConic eID, entity, curv, conic c&Zm>Qo[
oNU* q.Q SetConic eID, entity, 1/Rpost, CCpost Lv^ j
l Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 17i^|&J6}: ;%Da { '************************************************************************* ?*s!&-KI 'Lens thickness (Position of posterior lens surface) GO)rpk9 '************************************************************************* W"-nzdAJ5 Mc}x]j`f parID = FindFullName( "Geometry.Arizona Eye.Lens" ) kx=AX*I tJu<#hX ' Delete any z-shift(s) Y+j KP*ri count = 0 kTk?[BK While GetOperationCount(eID)>count Np-D:G GetOperation eID, count, op Ksp;bfe If op.Type="ShiftZ" Then iE Oyc59 DeleteOperation eID,count *tO<wp& count=count-1 ~Op1NE End If ]Cz16e&=2 count=count+1 hrL<jcv| Wend ;p_X7N ^]DWrmy 'Set new z-shift OX`n`+^D op.Type = "ShiftZ" Kmnr}Lp9 op.val1 = tlens ^`!Daqk op.parent = parID "QF083$ AddOperation eID, op }6bLukv Print "Set lens thickness = " & tlens
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j fZ1n '************************************************************************* lX4p'R-h 'Lens index of refraction `SwnKg '************************************************************************* <di_2hN eID = FindMaterial( "Lens" ) 'AAY!{> GetModelMaterial eID, mat 0/ Ht;( \+uqP:Ty mat.Nd = nlens 7xc<vl#:q7 SetModelMaterial eID, mat ,![=_ d Print "Set lens index of refraction = " & nlens ;9PM?Iy[ :z\f.+MI '************************************************************************* O$H150,Q 'Pupil diameter 1;P\mff3Y '************************************************************************* Ax0,7,8y eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) (6BCFl:/Q< EDo@J2A 'Adjust pupil diameter (trimming volume inner hole) |u{QI3#' 0uz"}v) SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" <n\.S eC$v0Gtq ' Adjust pupil location to just in front of the lens mvgm o parID = FindFullName( "Geometry.Arizona Eye" ) I5L7BTe eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) C'._}\nX count = 0 i-?zwVmn While GetOperationCount(eID)>count +I <Sq_- GetOperation eID, count, op ]K7 64} If op.Type="ShiftZ" Then |&Pl 4P DeleteOperation eID,count A,{D9-% count=count-1 vy@Lu
cB End If 5 DB>zou
count=count+1 9>R|k$` Wend q&E5[/VK: op.Type = "ShiftZ" >t2b?(h/x op.val1 = taq-0.01 Y/0O9}hf op.parent = parID Fw9``{4w AddOperation eID, op &%X Jf~IQ u mlZ(??. Print "Set pupil diameter = " & pupilDiam 9@Sb! 9h 3~</lAm; 'Update AZ Eye subassembly Description V@:=}*E eID = FindFullName( "Geometry.Arizona Eye" ) ;n!X% S<z* GetEntity eID, entity i8YgG0[) entity.Description = "Accommodation = " & A & "D" -mJ&N SetEntity eID, entity g&TCff txo?k/w Update p^rX.?X Print "DONE!" z[%v_S 6\Vu#r End Sub _-\s[p5 #L.}CzAz 如果屈光度是4,光瞳直径是4,则会输出如下数据: pqN[G=0 A9UaLSe Accommodation = 4 Diopters 0juIkN# Pupil Diameter = 4 mm t!SQLgA Set aqueous humor thickness = 2.81 TDIOK Set anterior lens radius = 10.4 and conic constant = -2.375869 R0mT/h2 Set posterior lens radius = -4.424557 and conic constant = -3.081019 -Y=c g; Set lens thickness = 3.927 Zk#i9[g9* Set lens index of refraction = 1.42672 .eNwC .8i Set pupil diameter = 4 8.Ef 5-m DONE! W4*BR_H&*
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