Shengwang Du

2015, the Year of Light

5.4.1 Planar

Mirrors

Aspherical Mirrors

Paraboloidal Mirror

Aspherical Mirrors

5.4.3 Spherical Mirrors

Mirror Formula

1

𝑠𝑜+1

𝑠𝑖=

1

𝑓

𝑓 = −𝑅

2

𝑅 < 0

Negative Focal Length

1

𝑠𝑜+1

𝑠𝑖=

1

𝑓

𝑓 = −𝑅

2

𝑅 > 0

Imagery with spherical mirrors

1

𝑠𝑜+1

𝑠𝑖=

1

𝑓

𝑓 = −𝑅

2

5.5.1 Dispersing Prisms

sin 𝜃𝑖1 = 𝑛 sin 𝜃𝑡1

𝑛 sin 𝜃𝑖2 = sin 𝜃𝑡2

Dispersing Prims

𝑛 =sin[(𝛿𝑚 + 𝛼)/2]

sin 𝛼/2

Constant Deviation Dispersing Prisms

5.5.2 Reflecting Prisms(internal reflection without dispersion)

Reflecting Prisms

Fiber Optics

𝑁𝐴 = 𝑛𝑖 sin 𝜃𝑚𝑎𝑥

Colonoscope

Fiberoptical Communication

Charles K KaoNobel Prize in Physics in 2009

“for groundbreaking achievements concerning the transmission of light in fibers for optical communication”

Eyes

Eyeglasses

Microscope

Camera

Telescope

5.7 Optical Systems

Eye

Eyeclasses

Microscope

Camera

Telescope

Hubble Telescope