Question

Write the differentiation equation of refraction

Answer 1

Answer:

Deriving the Differential Equation for Refraction

• dr = dz + dθ .
• dθ = dr − dz .
• dR/(R dθ) = cot z ,
• (R dθ)/dR = tan z .
• dR/R = dθ/tan z .
• nR sin z ,
• dn/n + dR/R + d(sin z)/(sin z) = 0 ,
• dn/n + dR/R + (cos z/sin z) dz = dn/n + dR/R + dz/(tan z) = 0 .

Answer 2

Answer:

Answer:

Deriving the Differential Equation for Refraction

dr = dz + dθ .

dθ = dr − dz .

dR/(R dθ) = cot z ,

(R dθ)/dR = tan z .

dR/R = dθ/tan z .

nR sin z ,

dn/n + dR/R + d(sin z)/(sin z) = 0 ,

dn/n + dR/R + (cos z/sin z) dz = dn/n + dR/R + dz/(tan z) = 0 .

Explanation:

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