Optics Near Surfaces and at the Nanometer Scale by Wolfgang Bacsa & Revathi Bacsa & Tim Myers

Author:Wolfgang Bacsa & Revathi Bacsa & Tim Myers
Language: eng
Format: epub
ISBN: 9783030589837
Publisher: Springer International Publishing

(3.14)

where is the wavelength and . Since our experiment is in air the index of refraction has been set to unity, hence we have set . Note, if we take the - sign then this corresponds to theoretical fringes below . This could be of interest if the laser is on one side of a translucent surface and the measuring device on the other side. Equation (3.14) may also be written in Cartesian form

(3.15)

Equations (3.14) and (3.15) define a family of three-dimensional surfaces. We will see later that they are paraboloid surfaces showing where the maximum intensity occurs for different values of integer n. The surfaces get larger with increasing n. Once is known these surfaces may be immediately plotted for each n. In practice when imaging the interference pattern the image plane cuts through these paraboloid surfaces . This means, for example, that with a horizontal image plane a set of ellipses should be observed, whereas for a vertical image plane parabolas will be observed.

For brevity, from now on, we denote

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