GeomOpt4

# GeomOpt4 - Section4:Thicklenses Section Forthicklenses,...

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Section 4: Thick lenses •F o r thick lenses, thickness d cannot be ignored troduction to concepts of Introduction to concepts of –p r i n c i p a l points –n o d a l points reat compound optical system in similar way Treat compound optical system in similar way Learning outcomes: f i iil l d di l it f thi k l Define principal planes and cardinal points of a thick lens •S k e t c h path of rays given principal planes •L o c a t e principal planes for thin lens combinations Reference : •H e c h t 6.1 ©AGK 2010 Geometric optics 1: Lenses and lens combinations 99

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Sample problem Hecht 6.12 •A crown glass double convex lens, 4.0 cm thick, and perating at a wavelength of 900 nm has an index of operating at a wavelength of 900 nm, has an index of refraction of 3/2. Given that its radii are 4.0 cm and 15 cm, locate its principal points and calculate its focal length. If a television screen is placed 1.0 m in front of the lens, where will the real image of the picture appear? ©AGK 2010 Geometric optics 1: Lenses and lens combinations 100
Thin lens  11 1 1 l n R R    12 fR  V F o f ©AGK 2010 Geometric optics 1: Lenses and lens combinations 101

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Thick lens •R a y s are refracted at both surfaces V 1 F o V 2 f.f.l d hat equations describe lens properties? ©AGK 2010 Geometric optics 1: Lenses and lens combinations 102 What equations describe lens properties?
Primary principal planes First focal point V 1 F o V 2 H 1 H 2 f.f.l d ©AGK 2010 Geometric optics 1: Lenses and lens combinations 103

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Primary principal planes Primary First focal point principal plane V 1 F o V 2 H 1 H 2 f.f.l d •P r o j e c t intersection of incident and emerging rays •L o c u s gives curved surface (not necessarily within lens) Paraxially approximate as plane Principal plane ©AGK 2010 Geometric optics 1: Lenses and lens combinations 104 •H 1 is first principal point
Second principal plane Second focal point V 1 F o V 2 H 1 H 2 b.f.l Equivalently, for rays coming from infinity: •S e c o n d principal plane ©AGK 2010 Geometric optics 1: Lenses and lens combinations 105 pp p e c o n d principal point (H 2)

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Ray through centre x V 1 V 2 O ©AGK 2010 Geometric optics 1: Lenses and lens combinations 106
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GeomOpt4 - Section4:Thicklenses Section Forthicklenses,...

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