Geo Optics Flashcards
Vergence of light
-=diverging \+=converging L=object vergence L’=image vergence L’=F+L
L<0
Real object
L>0
Virtual object
L’<0
Virtual image
L’>0
Real image
Object location
l=n1/L
N1=RI of material in which light travels before hitting lens (left)
Image location
l’=n2/L’
N2=RI after passing through the lens (right)
Concave
Interface wraps around lower medium
Always diverging
Does not matter which way light travels
Convex
Interface wraps around higher medium
Always converging
Does not matter which way light travels
Power of SSRI
F=(n2-n1)/r
Radius of curvature
- if shape of lens surface is a C, it s a POSITIVE ROC
- if backwards C, negative ROC
Secondary focal points
- location of image point when plane-polarized light (light from infinity) incident on interface
- converging=to the right (real image)
- diverging=to the left (virtual)
- F’
Secondary focal length
- distance from interface to F-
- f’=n2/F
- f’
Primary focal point
- location of an object from which light can leave such that after interacting with interface, it exits as plane waves
- F
Primary focal length
- distance from interface to F
- f=(-)n1/F
- f
- focal points inverse of lens power
What is the inverse of the lens power
Focal points
Nodal point
Point on the axis through which light passes undeviated
Flat surface
- r=infinity, so F=0
- n1/l=n2/l’
- apparent depth questions are asking where the image is located relative to flat surface (objects apparent distance=image location)
Lateral magnification (linear mag)
- ratio of image size to object size
- AKA linear magnification
- m=hi/ho=L/L’=l’/l
- hi=height if image, ho=height of object
- L=incoming vergence, L’=outgoing vergence
- l’=image distance from lens, l=object distance
-l’/l ONLY if object and image in the same RI
Snells law
Relationship between angle refraction and angle of incidence
N1sin(theta)1=n2sin(theta)2
Total internal reflection
n20c will be totally internally reflected
- gloat incident at an angle greater than 0c will be refracted internally
- sin0c=n2/n1
- example is viewing AC angle unaided, must have gonio lens to view
Power of thin lens
- treated as 2 SSRIs
- calculate power of each and then add them to get total power
- F=F1+F2