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derive snells. law using huygens principle
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Answer 1

Snell's law of refraction using Huygen's Principle : Consider a plane wavefront AB incident on a surface PQ separating two media 1 and 2. The angle between the incident ray FA and the normal NA at the point of incidence A is equal to i. ... This equation proves the Snell's law.

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Answer 2

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Physics

Wave Optics

Huygen's Wave Theory

Using Huygen's wave theory,...

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Asked on October 15, 2019 by

Sandra Udayakumar

Using Huygen's wave theory, derive Snell's law of refraction.

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ANSWER

Snell's law of refraction using Huygen's Principle:

Consider a plane wavefront AB incident on a surface PQ separating two media 1 and 2.

The medium 1 is a rarer medium of refractive index n

1

in which light travels with a velocity C

1

. The medium 2 is denser medium of refractive index n

2

in which light travels with a velocity C

2

.

The angle between the incident ray FA and the normal NA at the point of incidence A is equal to i.

The angle is also equal to the angle between the incident plane wavefront BA and the surface of separation PQ.

So ∠BAD is the angle of incidence of the incident plane wavefront AB.

Similarly, the angle between the refracted wavefront and the surface of separation PQ is equal to the angle of refraction r.

i.e. ∠ADC=r.

Consider the triangles BAD ACD figure above.

sini=sin∠BAD=

AD

BD

=

AD

C

1

r

sinr=sin∠ADC=

AD

AC

=

AD

C

2

r

sinr

sini

=

C

2

t

C

1

t

=

C

2

C

1

= constant

This constant is called the refractive index of the second medium (2) with respect to the first medium (1).

C

2

C

1

=

n

1

n

2

=1n

2

This equation proves the Snell's law.

solution

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