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简介 N{&Hq4^c X?aj0# Q 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。 rI#,FZ
QB5,Vfoux 模型 ePo ::: HSj=g}r 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。 3~EPX`#[W !j%#7 Table 1. AZ眼睛模型的定义 7r{159&= 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. 8
3Tv-X >@0U B@ 光源 kYZj^tR GK&R,q5} 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。 ~m3Tq.sYrY T9?8@p\}( 4 3G2{ 图1. 光源和提示信息使用 SnVb D< 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。 L2IY$+=M x31Jl{x8\? 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。 }u.I%{4 ]D<3yIGS 图2. 字母F光源的设定方法光 FO:k
>F .cK<jF@' 图3. 字母F在视网膜上位置点列图 dO!B=/ 视网膜的散射 ~COd(,ul ]--"
K{ 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。 MDauHtF, y q6:7< i#I7ncX 图4. 视网膜朗伯散射设定 "?>hQM1R 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。 \hDjZ RG6U~o1 E*s8 nQ" 图5. 视网膜重点采样规格设定 -r%k)4_ 脚本 8Z>=sUMQ 4tlLh`-8 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: ,HwOMoP7 rnP *} 图6. 用户对话框的创建与编辑 o)+Uyl 图7. 用户对话框编辑器 aucG|}B
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。
j>)yV@g/ 余下的脚本计算与屈光度有关的所有参数。 _n+
5{\z "H|hN 分析 jg3T1ROL -] `OaL! 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Vi>`g{\ Cznp(z 图7. 字母F在视网膜上颜色分析 HFW8x9Cc 脚本代码 64l(ru< AEo Option Explicit 'Remove this to enable non-dimensioned variables to be used. F/:Jp3@ 6]fz;\DgP Dim entity As T_ENTITY ]O0:0Z\ Dim op As T_OPERATION ?@H/;hB[| Dim mat As T_MODELMATERIAL ~y>N JM>1 Dim A As Double /{!?e<N>
Dim pupilDiam As Double {Z1^/Fv3 Dim eID As Long }TG=ZVi Dim parID As Long 'a=' (,% Dim count As Integer ]dL#k>$0q Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ]]50c Dim tlens As Double, nlens As Double kz^?!l)X0 Dim curv As Double, conic As Double -aQf(= Dim ok As Long \s_`ZEB ?dY|,_O Sub Main 6$
ag< 94xWMX2 '用户输入对话框 jbTsrj"g Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ^ ^k]2oG TextBox 220,21,40,21,.TextBox1 'default: 0 &5Huv?^a' Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ,rWej;CzN OKButton 40,91,90,21 v|wO qS CancelButton 190,91,90,21 frUO+ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 TSUT3'&~p TextBox 220,49,40,21,.TextBox2 'default: 4 {xCqz0 End Dialog :NXM.@jJ=" Dim dlg As UserDialog f~{4hVA fu{.Ir ok = Dialog (dlg) T*qSk! -P-&]F5 If ok=0 Then 'cancel button was pressed c. 06Sw* Print "Execution cancelled." tQIa6c4| End ,L$,d End If CQ:38l\`gd b>f{o_ 'Assign accommodation and pupil diameter & use defaults if field left empty x?RYt4 S If dlg.TextBox1 = "" Then s'=w/os A = 0 'Default accommodation ^'Qe.DW[ Else e<r}{=1w A = CDbl(dlg.TextBox1) ;}4^WzmK^( End If eY8rm 3pjK`"Nmz\ If dlg.TextBox2 = "" Then y28 e=i pupilDiam = 4 'Default pupil diameter P:fcbfH+ Else yR[htD` pupilDiam = CDbl(dlg.TextBox2) =k:yBswi End If YOQ>A*@4 `R,g_{Mj Print " " WO{ET Print "Accommodation = " & A & " Diopters"
s}bv
o Print "Pupil Diameter = " & pupilDiam & " mm" )GR4U8<>g rvp#[RAaS} ' Calculate new parameters with accommodation LW*v/`@ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Ms14]M[\ C(}N*e1 Rant = 12.0 - 0.4*A 'Radius of anterior lens 3h`_Qv%g CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens G!.%Qqs Ih^ziDcW Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ;P9cjfSn CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens BMYvxSsm VQ^}f/A tlens = 3.767 + 0.04*A 'Lens thickness ~;yP{F8? 1)hO!% nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ^n9)rsb +AYB0`X) 'Adjust parameters to account for accommodation C^*3nd3 oyq9XW~ D '************************************************************************* Z!2%{HQ=q 'Aqueous thickness (Position of Lens) @ ('/NjTZ '************************************************************************* ^~7ouA eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 0YO/G1O& GetCustomElement eID, entity %JPBD]&M ~zhP[qA}) parID = FindFullName( "Geometry.Arizona Eye" )
>8.o GL'l "L ' Delete any shift(s) in z ]i
Yp count = 0 THY=8&x) While GetOperationCount(eID)>count tO+Lf2Ni+ GetOperation eID, count, op 36UUt!}p If op.Type="ShiftZ" Then 4KB>O)YNg' DeleteOperation eID,count raJv$P count=count-1 9y?)Ga End If bPVQ- count=count+1 5F$~ZDu Wend u#nM_UJe &n~v;M 'Set new shift in ;}}k*<
Z op.Type = "ShiftZ" :N64FR# op.val1 = taq 85qD~o?O op.parent = parID C9^C4
AddOperation eID, op i)=
\-C Print "Set aqueous humor thickness = " & taq-0.55 Q/`W[Et #83pitcc '************************************************************************* /@Ec[4^=!. 'Radius and conic constant of anterior lens Cq[<CPAS '************************************************************************* %/w%A:y#& eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 8c%_R23 GetConic eID, entity, curv, conic 5+[ 3@ d-`z1' SetConic eID, entity, 1/Rant, CCant dU&hM<.| Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant B3&C=*y 7mA:~- .u '************************************************************************* Kp>fOe'KW 'Radius and conic constant of posterior lens C_;A~iI7 '************************************************************************* 47!k!cHa eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) L\xR<m<, GetConic eID, entity, curv, conic "Z)zKg ;k
(M4? SetConic eID, entity, 1/Rpost, CCpost 0DX)%s,KO Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Ynl Zyw! n;e.N:p '************************************************************************* cYz|Ux 'Lens thickness (Position of posterior lens surface) t6Nkv;)>@ '************************************************************************* N#GMvU#R t5k=ngA parID = FindFullName( "Geometry.Arizona Eye.Lens" ) [r^WS;9n ={\9-JJhE ' Delete any z-shift(s) }#2I/dn count = 0 Q!{,^Qb While GetOperationCount(eID)>count 5M\bH'1 GetOperation eID, count, op `]F#j ]" If op.Type="ShiftZ" Then EbnV"]1 DeleteOperation eID,count Y_/w}HB count=count-1 v)JS4KS End If '?1g_C QsS count=count+1 ;]>a7o Wend B^Hhrz! r*UE>_3J 'Set new z-shift rPK 1# op.Type = "ShiftZ" %xdyGAl: op.val1 = tlens <3laNk op.parent = parID |?t}7V#[ AddOperation eID, op bMGXx>x Print "Set lens thickness = " & tlens 2 }rYH;Mx qVE<voB8 '************************************************************************* m8Rt>DY 'Lens index of refraction {R?VB!dR '************************************************************************* S5[}kfe eID = FindMaterial( "Lens" ) MB+a?u0\ GetModelMaterial eID, mat :@~mN7O* 7*>,BhF# mat.Nd = nlens \: R Akf< SetModelMaterial eID, mat Sb^o`~ Eh Print "Set lens index of refraction = " & nlens (Q"~bP{F O@a7MzJ '************************************************************************* f1|&umJ$ 'Pupil diameter 7n7UL0Oc1 '************************************************************************* i93^E~q] eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) EZ[e
a< ''}2JJU{ 'Adjust pupil diameter (trimming volume inner hole) , 8o
Y(h "] ]aF1 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" o,'Fz?[T% d$y?py ' Adjust pupil location to just in front of the lens ;)z+dd#3 parID = FindFullName( "Geometry.Arizona Eye" ) lT_dzO eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) B1TWOl?d{ count = 0 t@jke While GetOperationCount(eID)>count 5ljEh - GetOperation eID, count, op ')ZZ)&U>z If op.Type="ShiftZ" Then bycnh DeleteOperation eID,count c]NZGn* count=count-1 %II o End If D&1(qi=x& count=count+1 ;&XC*R+ Wend T3PwM2em_` op.Type = "ShiftZ" zGa
V^X op.val1 = taq-0.01 k0,]2R op.parent = parID ZUS06#t} AddOperation eID, op 04:QEC"9mj 8zQN[[#n Print "Set pupil diameter = " & pupilDiam Li9>RY+3 T}Wse{ 'Update AZ Eye subassembly Description (?ZS9&y} eID = FindFullName( "Geometry.Arizona Eye" ) j+Q+.39s-~ GetEntity eID, entity ,%U\@*6= entity.Description = "Accommodation = " & A & "D" _7
^:1i~:. SetEntity eID, entity fDAT#nlyp |k]fY*z( Update dte-2?%~j Print "DONE!" <GSp%r eE@7AM End Sub r ?z}TtDp &}d5'IRT 如果屈光度是4,光瞳直径是4,则会输出如下数据: szp.\CMz f&
Vx`oj Accommodation = 4 Diopters oG
c9
6B% Pupil Diameter = 4 mm eQ<GNvm Set aqueous humor thickness = 2.81 luJNdA:t& Set anterior lens radius = 10.4 and conic constant = -2.375869 G-'CjiMu Set posterior lens radius = -4.424557 and conic constant = -3.081019 l0eh}d Set lens thickness = 3.927 rLA^ &P: Set lens index of refraction = 1.42672 PoD/i@ Set pupil diameter = 4 K;]Dh? DONE! xW58B m,&2s-v (#+81 Dr QQ:2987619807 `t+;[G>ZE
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