Reflection from concave mirror when the incident ray is parallel to the principal axis
Point of incidence: left parenthesis, StartRoot, "R" squared minus "h" squared , EndRoot , "h" , right parenthesisR2−h2,h
Label:
equals=
left parenthesis, 4.4 7 5 1 6 4 8 , 2.2 3 , right parenthesis4.4751648,2.23
7
"x" Subscript, 1 , Baselinex1
"y" Subscript, 1 , Baseliney1
00
00
r1c3:
StartRoot, "R" squared minus "h" squared , EndRootR2−h2
"h"h
r2c3:
r3c3:
8
Expression 9: "y" equals StartFraction, 2 "h" "x" StartRoot, "R" squared minus "h" squared , EndRoot minus "R" squared "h" Over "R" squared minus 2 "h" squared , EndFraction left brace, "y" less than or equal to "h" , right bracey=2hxR2−h2−R2hR2−2h2y≤h
9
Expression 10: "y" equals StartFraction, negative StartRoot, "R" squared minus "h" squared , EndRoot "x" plus "R" squared Over "h" , EndFractiony=−R2−h2x+R2h
10
Expression 11: "y" equals StartFraction, "h" "x" Over StartRoot, "R" squared minus "h" squared , EndRoot minus StartNestedFraction, "R" NestedOver 2 , EndNestedFraction , EndFraction minus StartFraction, StartNestedFraction, "h" "R" NestedOver 2 , EndNestedFraction Over StartRoot, "R" squared minus "h" squared , EndRoot minus StartNestedFraction, "R" NestedOver 2 , EndNestedFraction , EndFraction left brace, "x" less than or equal to StartRoot, "R" squared minus "h" squared , EndRoot , right bracey=hxR2−h2−R2−hR2R2−h2−R2x≤R2−h2
11
Focus: left parenthesis, StartFraction, "R" Over 2 , EndFraction , 0 , right parenthesisR2,0
Label:
equals=
left parenthesis, 2.5 , 0 , right parenthesis2.5,0
12
Centre of curvature: left parenthesis, 0 , 0 , right parenthesis0,0
