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简介 c ZN+D D #k1%}k= 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。 SB1\SNB /s>ZT8vaAs 模型 *K6 V$_{S vIrLG1EK 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 7CzZHkTg
] }XK Table 1. AZ眼睛模型的定义 4Wq{ch 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. CE>RAerY ~l%Dcp 光源 y(B~)T~e@ l|`%FB^ k 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 ^IuHc_ b<qv
/t)$ u2^oXl 图1. 光源和提示信息使用 (u-i{< 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。 ^{["]!f# jYet!l 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。 inavi5. IBY3QG 图2. 字母F光源的设定方法光 b+\jFGC%6= |,j6cFNw 图3. 字母F在视网膜上位置点列图 yOGaW~ 视网膜的散射 HHD4#XcU Xi_>hL+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。 W{l+_a{/9 ;8;nY6Ie Re('7m h~ 图4. 视网膜朗伯散射设定 S=^yJ6xJ 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。 !mrB+<: 3uCC_Am iLn)Z0<\o 图5. 视网膜重点采样规格设定 ;uNcrv0J 脚本 0 ]U
;5 _d&zHlc_ 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: Gd`qZqx# A5tY4?| 图6. 用户对话框的创建与编辑 )+Wx!c,mb 图7. 用户对话框编辑器 ZVJbpn<lo) 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。 "?V4Tl~uu 余下的脚本计算与屈光度有关的所有参数。 ; )O)\__"- ;VM/Cxgep 分析 JQ'NFl9< `f}c 1 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 @0?Mwy! q(e&{pbM) 图7. 字母F在视网膜上颜色分析 %up]"L&i 脚本代码 pzezN Q2PY(
# Option Explicit 'Remove this to enable non-dimensioned variables to be used. m,$oV?y>j zWgNDYT~ Dim entity As T_ENTITY ~" B0P>7 Dim op As T_OPERATION RyC]4QyC Dim mat As T_MODELMATERIAL |&3m '"( Dim A As Double 5[esW Dim pupilDiam As Double 9zEO$<e o Dim eID As Long oDTt+b Dim parID As Long 07Yh Dim count As Integer LCK Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double \y{Bnp5h Dim tlens As Double, nlens As Double x
SF#ys4v Dim curv As Double, conic As Double C
7YZ;{t Dim ok As Long gzvEy^X bT*MJ7VVm Sub Main P*T'R QS,IM>Nr '用户输入对话框 wt[MzpR P Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ,<%Y.x%4z[ TextBox 220,21,40,21,.TextBox1 'default: 0 ?3kfhR Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 RO=[Rr! OKButton 40,91,90,21 g4&zBn CancelButton 190,91,90,21 9`i=kp Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 .B{3=z^
TextBox 220,49,40,21,.TextBox2 'default: 4 BHOxwW{ End Dialog MQ5#6vJ Dim dlg As UserDialog [Oe$E5qv)] J2Ocf&y; ok = Dialog (dlg) C[gCwDwl !]&a/$U If ok=0 Then 'cancel button was pressed !`hjvJryw Print "Execution cancelled." =|bM|8, End m.EI("n"J End If XL >Vwd N?U;G*G 'Assign accommodation and pupil diameter & use defaults if field left empty q-eC=!#} If dlg.TextBox1 = "" Then /$'tO3 A = 0 'Default accommodation 1mgLH Else #+|{l*> A = CDbl(dlg.TextBox1) |8c3%jve End If
vr/V_ n'v[[bmu If dlg.TextBox2 = "" Then a[]=*(AZI pupilDiam = 4 'Default pupil diameter GN?^7kI Else di>"\On- pupilDiam = CDbl(dlg.TextBox2) ?P,z^ End If y/h~oGxy z*>"I Print " " UGj!I Print "Accommodation = " & A & " Diopters" @bOhnd#W Print "Pupil Diameter = " & pupilDiam & " mm" 1T!b#x4 Jm0P~E[n ' Calculate new parameters with accommodation hU3c;6]3 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness fQ=Yf ?b "yXKu)_ Rant = 12.0 - 0.4*A 'Radius of anterior lens @
U'g}K CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens B/:q
H ifKa/}P8 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens *r@7 :a5 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens B BbGq8p 0=# :x()e tlens = 3.767 + 0.04*A 'Lens thickness fPZt*A__ bdZ[`uMD nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction F$ShhZgi CeSr~Ikg| 'Adjust parameters to account for accommodation ci0)kxUBF vm"LPwSk> '************************************************************************* c [sydl 'Aqueous thickness (Position of Lens) 5,})x]'x '************************************************************************* -;20|US)u eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ^=.R#zrc GetCustomElement eID, entity L3GA]TIf O`Er*-O parID = FindFullName( "Geometry.Arizona Eye" ) 'FgBYy/ ExeD3Zj ' Delete any shift(s) in z zflfV!vAg count = 0 t6m3lq{ While GetOperationCount(eID)>count dKTyh:_{ GetOperation eID, count, op de1cl< If op.Type="ShiftZ" Then U>w#`Sy[ DeleteOperation eID,count #<s6L"Z- count=count-1 ~7+7{9g End If T$%r?p(s count=count+1 Atc9[<~WG Wend 5.5<.") FM;NA{ 'Set new shift in !iA3\Ai" op.Type = "ShiftZ" v_mk{ op.val1 = taq ^MIF+/bQ op.parent = parID cWjb149@) AddOperation eID, op 7rQwn2XD{ Print "Set aqueous humor thickness = " & taq-0.55 =!)Ye:\Q u^|c_5J( '************************************************************************* a?jUm. 'Radius and conic constant of anterior lens YbtsJ
<w '************************************************************************* :dq.@:+<R eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) L#O1> GetConic eID, entity, curv, conic waI?X2 g%Bh-O9\ SetConic eID, entity, 1/Rant, CCant IR;l{q&` Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant :B{Wf 2<z yJQ>u '************************************************************************* :No`+X[Kq 'Radius and conic constant of posterior lens )Tjh
'************************************************************************* fh_+M"Y0` eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Lh%z2 5t GetConic eID, entity, curv, conic }py)EI,U Ha~F&H|"O SetConic eID, entity, 1/Rpost, CCpost ]H|O Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost c?5?TJpm uN>JX/- '************************************************************************* A12EUr5$ 'Lens thickness (Position of posterior lens surface) A,67)li3 '************************************************************************* 9gq+,g>E_ =~z sah6N parID = FindFullName( "Geometry.Arizona Eye.Lens" ) m%zo? e Hb}O/G$a* ' Delete any z-shift(s) yPY}b_W count = 0 mi[t1cN)= While GetOperationCount(eID)>count )5T82=[h< GetOperation eID, count, op e}dGK=` If op.Type="ShiftZ" Then .3
>"qv DeleteOperation eID,count pwvzs`[; count=count-1 F>Pr`T?> End If a-e_ q count=count+1 "s-3226kj Wend LMKhtOZ? F m?j-' 'Set new z-shift v[;R(pt? op.Type = "ShiftZ" srPczVG* op.val1 = tlens )<Fq}Q86 op.parent = parID /RVwhA+c AddOperation eID, op PRJ Print "Set lens thickness = " & tlens ~c,CngeL0 8Q%g<jX* '************************************************************************* e5RF6roxO 'Lens index of refraction &F-
\t5X=i '************************************************************************* ai%*s&0/Y eID = FindMaterial( "Lens" ) d|#&j." GetModelMaterial eID, mat )ifjK6* Qb%o%z?hee mat.Nd = nlens p{
Xde SetModelMaterial eID, mat }7non Print "Set lens index of refraction = " & nlens dx@|M{jz' SzP`(}AU '************************************************************************* f=k_U[b4> 'Pupil diameter OZc4 -5 '************************************************************************* 8)lrQvZ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 3daI_Nx> lArKfs/ 'Adjust pupil diameter (trimming volume inner hole) +0}z3T1L 3Ccy %; SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" SZ29B 2FR+Z3&z ' Adjust pupil location to just in front of the lens SJB^dI**/d parID = FindFullName( "Geometry.Arizona Eye" ) y2W|,=Vd eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) /#WvC;B count = 0 @(bg# While GetOperationCount(eID)>count aFaioE#h( GetOperation eID, count, op ({ O~O5k If op.Type="ShiftZ" Then 7fI2b,~ DeleteOperation eID,count 0G31Kou count=count-1 NbC2N)L4 End If 7u{V1_n1 count=count+1 fat;5XL@ Wend #c!rx%8I op.Type = "ShiftZ" @R-11wP)M op.val1 = taq-0.01 [~PR\qm op.parent = parID 5(gWK{R)* AddOperation eID, op z&cM8w: lEgjv, Print "Set pupil diameter = " & pupilDiam t~7OtPF <UF0Xc&X' 'Update AZ Eye subassembly Description (3Q$)0t eID = FindFullName( "Geometry.Arizona Eye" ) qA;Gl"HF GetEntity eID, entity QChncIqc entity.Description = "Accommodation = " & A & "D" Esu{c9, SetEntity eID, entity ta6>St7. jST4O"DjM Update eTFep^[ Print "DONE!" /ej[oR j+fib} 8} End Sub W]oa7VAq ^2H; 如果屈光度是4,光瞳直径是4,则会输出如下数据: |h}4J ZNne 8 Accommodation = 4 Diopters (H5#r2h%Y Pupil Diameter = 4 mm :hT.L3n, Set aqueous humor thickness = 2.81 J/fnSy Set anterior lens radius = 10.4 and conic constant = -2.375869 Jz=|-F(Sy Set posterior lens radius = -4.424557 and conic constant = -3.081019 F^$;hMh% Set lens thickness = 3.927 IITUM) Set lens index of refraction = 1.42672 a2Nxpxho Set pupil diameter = 4 =[8K#PZ$w DONE! 5x%Blkx
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