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简介 eSW}H_3 /nt%VLms% 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。 &4M,)Q (
!NKPy+v 模型 jCg4$),b 1pN8,[hyR7 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。 G!Y7RjWD qV``' _=< Table 1. AZ眼睛模型的定义 k^s7s{ 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. q'Y)Y(d ZKB27D_vg> 光源 %T;VS-f mhs%8OTN 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。 jq|fIP uw`J5TND
%Rm`YH? 图1. 光源和提示信息使用 i^4i]+ 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。 '(3|hh)Tl \#"&S@%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。 OPv~1h<[ E-?JHJloU 图2. 字母F光源的设定方法光 _Pl5?5eZj gA2]kZg 图3. 字母F在视网膜上位置点列图 {Z~ze` N/ 视网膜的散射 rC ,ZRFF &iJvkt 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。 mP_c-qD
| :ee'|c 0F&(}`V 图4. 视网膜朗伯散射设定 %6:"tuA 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。 `mN5s q 'puiahA #!4
HSBf 图5. 视网膜重点采样规格设定 d! _8+~ 脚本 v0pev;C wPJA+ 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: jF{\=&fU eTY(~J#' 图6. 用户对话框的创建与编辑 !Bhs8eGr3 图7. 用户对话框编辑器 TO]
cZZ< 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。 <VT|R~ 余下的脚本计算与屈光度有关的所有参数。 ~eekv5
.V l 分析 TM,Fab & &^B;1ZMHD 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 nYnv.5 zf[KZ\6H 图7. 字母F在视网膜上颜色分析 ,T+.xB;Q@ 脚本代码 }>'1Qg $~1~+s0$ Option Explicit 'Remove this to enable non-dimensioned variables to be used. vUJQ<D ;n/04z Dim entity As T_ENTITY ygqWy1C Dim op As T_OPERATION Mqmy*m[U Dim mat As T_MODELMATERIAL 'L
veCi_ Dim A As Double 9XN/ wp Dim pupilDiam As Double \U HI%1^ Dim eID As Long m Wh Dim parID As Long vu_ u\2d Dim count As Integer ]_:j+6i Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Q::_i"?c Dim tlens As Double, nlens As Double VCvFCyAz Dim curv As Double, conic As Double jd}-&DN Dim ok As Long 1u_< 1X3 OZ Hfd7K4A Sub Main oP`Qyk b3+F~G-I" '用户输入对话框 .J2tm2]"EZ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 %OT?2-d TextBox 220,21,40,21,.TextBox1 'default: 0 <;zcz[~ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 >8w=Vlp OKButton 40,91,90,21 [xl+/F7 CancelButton 190,91,90,21 %j;mDR95 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ko`KAU<T_ TextBox 220,49,40,21,.TextBox2 'default: 4 #Dl=K<I End Dialog aHSl_[ Dim dlg As UserDialog N=TDywRI s)7sgP ok = Dialog (dlg) Y86mg7[U/ Rj])c^ZA'* If ok=0 Then 'cancel button was pressed ^wb$wtL(' Print "Execution cancelled." PsyXt5Dk End ?0'db End If aQL$?, $/$ 5{< 'Assign accommodation and pupil diameter & use defaults if field left empty rLI);!^- If dlg.TextBox1 = "" Then c7t . A = 0 'Default accommodation ECLQqjB Else Tu}?Q.pKo A = CDbl(dlg.TextBox1) 3KN})*1 End If vQ1#Zgy sx@%3j If dlg.TextBox2 = "" Then rHD_sC* pupilDiam = 4 'Default pupil diameter '\/|K Else fzW!- pupilDiam = CDbl(dlg.TextBox2) e c4vX End If ?m:,hI #0 eop>O Print " " U$=#yg2
: Print "Accommodation = " & A & " Diopters" vALH!Kh Print "Pupil Diameter = " & pupilDiam & " mm" Q<fDtf} |)b:@q3k+n ' Calculate new parameters with accommodation oO&R3zA1d taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 9{XV=a v )wfqGkr=m! Rant = 12.0 - 0.4*A 'Radius of anterior lens gEkH5|*Y CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 9<-7AN}Z ]seOc],4 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens \jHIjFwQ
CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 6~!l7HqO 9?4:},FRmE tlens = 3.767 + 0.04*A 'Lens thickness _REAzxeS P,={ C6* nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction t-VU&.Y xw~3x*{ 'Adjust parameters to account for accommodation L_Lhmtm}m I9O%/^5^[w '************************************************************************* p\ _& 'Aqueous thickness (Position of Lens) <@J0
770 '*************************************************************************
)6:1`&6 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) #Mrc!pT]xy GetCustomElement eID, entity -5d^n\CDK &^(4yw(~ parID = FindFullName( "Geometry.Arizona Eye" ) tDn:B$*}W,
Ula
h!s ' Delete any shift(s) in z F8d:7`lO@/ count = 0 Vl%UT@D| While GetOperationCount(eID)>count Qk]^]I GetOperation eID, count, op g&?{^4t] If op.Type="ShiftZ" Then eR>|1s%^ DeleteOperation eID,count sz+%4T count=count-1 w>TTu:
7 End If q cGsx2 count=count+1
G:i>MJbxT Wend BY`vs+]XY }}gtz-w 'Set new shift in s&F&
*5W op.Type = "ShiftZ" ^!*nhs% op.val1 = taq cN%@
nW0i op.parent = parID I T?~`vi AddOperation eID, op K7=>o*p Print "Set aqueous humor thickness = " & taq-0.55 EClx+tz;` jAak,[~; '************************************************************************* <KBS ;t="1 'Radius and conic constant of anterior lens )8*}-z '************************************************************************* W=\45BJ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) kV@?Oj.&I, GetConic eID, entity, curv, conic eNu]K,rT 6d/1PGB SetConic eID, entity, 1/Rant, CCant U%rq(`;
Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Fuy"JmeR
=[nuesP' '************************************************************************* &.[I}KH|B 'Radius and conic constant of posterior lens =2e{T J/ '************************************************************************* <ZjT4>< eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 9NeHN@D) GetConic eID, entity, curv, conic '9@AhiNV 7\[)5j SetConic eID, entity, 1/Rpost, CCpost xv~Sk2Z+d Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost =B0AG9Fz RwUosh\W '************************************************************************* K@tEL Yb 'Lens thickness (Position of posterior lens surface) *=X61`0 '************************************************************************* sQBKzvFO3 /p$+oA+ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) @K\hgaQ ti!kJ"q ' Delete any z-shift(s) y
'Ah*h count = 0 mjKu\7F While GetOperationCount(eID)>count zx7A}rs3oX GetOperation eID, count, op %>Mcme>(W If op.Type="ShiftZ" Then oaG;i51! DeleteOperation eID,count qyzH*#d=Cf count=count-1 \1<8'at End If TgA>(HcO count=count+1 ){*9$486 Wend 'Lh nl3 .S[M:<<* 'Set new z-shift 4Q:r83# op.Type = "ShiftZ" ~rlPS#]o op.val1 = tlens #=N6[:, op.parent = parID rlY n"3% AddOperation eID, op QYc/f"9 Print "Set lens thickness = " & tlens @cc}[Uw4B 9Y+7o%6e '************************************************************************* [*1:?mD$ 'Lens index of refraction ;:/C.%d
'************************************************************************* -?w3j9kk> eID = FindMaterial( "Lens" ) y+h/jEbM</ GetModelMaterial eID, mat sKC(xO@L;` }kSP p mat.Nd = nlens o_a' <7\#i SetModelMaterial eID, mat kgd
dq Print "Set lens index of refraction = " & nlens 3hcWR'| MavidkS
'************************************************************************* #j'7\SV 'Pupil diameter Kx02 2rgDU '************************************************************************* }Z)YK}_1 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) M[cAfu XZrzG P( 'Adjust pupil diameter (trimming volume inner hole) }=A+W2D W&HxMi SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" =R*IOJ PZj}]d ` ' Adjust pupil location to just in front of the lens ?}HZJ@:lB parID = FindFullName( "Geometry.Arizona Eye" ) `aSbGMz eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 4lI&y<F count = 0 NR"C@3kD]o While GetOperationCount(eID)>count A@Cvx7X GetOperation eID, count, op r`i.h ^2De If op.Type="ShiftZ" Then KQ0f2? DeleteOperation eID,count F~/~_9RJ count=count-1 WW-}c;cnK End If $3xDjiBb count=count+1 BwAmNW&i Wend 9'p*7o op.Type = "ShiftZ" :s1.TQ;Y( op.val1 = taq-0.01 h6?o)Q>N op.parent = parID 3xgU=@!; AddOperation eID, op \F)WUIK t ?05 Print "Set pupil diameter = " & pupilDiam 1Se2@WR' VVfTFi< 'Update AZ Eye subassembly Description tMXNi\Bj eID = FindFullName( "Geometry.Arizona Eye" ) O&sU Pv GetEntity eID, entity @2`nBtk entity.Description = "Accommodation = " & A & "D" OS1f}< SetEntity eID, entity &3SmTg
% c*i,z Update ExF6y#Y G< Print "DONE!" }"[/BT5t QcX&q%*0 End Sub UG4I@@= n4.\}%=z 如果屈光度是4,光瞳直径是4,则会输出如下数据: "LH3ZPD %3.
np Accommodation = 4 Diopters VxE;tJ>1 Pupil Diameter = 4 mm kOC0d, Set aqueous humor thickness = 2.81 Pa"Kk9!o36 Set anterior lens radius = 10.4 and conic constant = -2.375869 CZ>Ujw=&k Set posterior lens radius = -4.424557 and conic constant = -3.081019 u9 5D0S Set lens thickness = 3.927 M"-.D;sa1 Set lens index of refraction = 1.42672 ^1<i7u Set pupil diameter = 4 -Rx;"J.H DONE! &8I*N6p:%/
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