Mr. Busse's Classes
Mr. Busse's Classes

Radiant Energy:Light
The Propagation of Light:Scattering

 

fig

 

Some beginning equations

Speed of a wave:

(1) speed

 

Profile of the E-field:

(2) efield

 

Propagation Number:

(3) prop

 

Relationship between the Electric and Magnetic fields:

(4) mag

 

Speed of light based on equation (4):

(5) speed

permittivity


permeability

 

Calculated speed of light with (5):

speed

speed

Accepted value of the speed of light:

speed

 

Energy and Irradiance (Intensity):

(6) intensity

 

Energy of a photon:

(7) energy

(8) energy

Planck's Constant in Joules planck or
Planck's Constant in electron Volts planck

 

fig

 

Scattering

Scattering is the absorbtion and re-emission of photons.

The sky is blue, in part, because of Rayleigh scattering from air molecules in the upper atmosphere.

 

Reflection

The Law of Reflection:
The angle of incidence equals the angle of reflection and the incident ray, the perpendicular to the surface (Normal), and the reflected ray all lie in a plane, called the plane-of-incidence.

(9) law

 

fig

 

fig

 

fig

 

fig

 

Example 1

An observer is at table level, a distance d to the left of a flower of height h. The flower itself is a distance d to the left of a mirror, as shown in the sketch. Note that a ray of light propagating from the top of the flower to the observer's eye reflects from the mirror at a height y above the table. Find y in terms of the height of the flower, h.

ex1

 

 

 

Properties of Mirror Images Produced by Plane Mirrors

• A mirror image is upright, but appears reversed right to left.

• A mirror image appears to be the same distance behind the mirror that the object is in front of the mirror.

• A mirror image is the same size as the object.

 

Example 2

Two mirrors are placed at right angles, as shown in the diagram. An incident ray of light makes an angle of 30° with the x axis and reflects from the lower mirror. Find the angle the outgoing ray makes with the y axis after it reflects once from each mirror.

 

ex1

 

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