I am trying to understand the derivation of Snell's law using Maxwell's equation and got stuck.(adsbygoogle = window.adsbygoogle || []).push({});

My text book says that "the E field that is tangent to the interface must be continuous" in order to consider refraction of light.

If it were static E field I understand this is true because in electrostatics

rotE = 0

holds. However Snell's law describes how electromagnetic waves change their direction of propagation when going through an interface of two mediums. Since our E filed is changing dynamically, we should use the equation

rotE = -∂B/∂t

in stead. To me it is not obvious why this equation leads to the continuity condition.

How does the continuity condition in Snell's law appears from Maxwell's equations?

**Physics Forums - The Fusion of Science and Community**

# Condition of continuity of E field at a boundary

Have something to add?

- Similar discussions for: Condition of continuity of E field at a boundary

Loading...

**Physics Forums - The Fusion of Science and Community**