Order Transformation

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Abstract
The transformation of interference orders is a new exact method which enables the optical length of the Fabry-Perot etalon to be precisely determined. The method is simple and applicable to dispersive and non-dispersive media. The present method is based on expressing the interference order in terms of a lower order which represents the number of the subtractive moiré bands which are formed along the etalon axis due to the superposition of two sets of standing waves of a spectrum doublet. The order-transformation method defines the conditions under which the low order can be found without ambiguity. The exact low order is multiplied by a transformation factor depending on the wavelengths used to obtain the interference order. Conjugate values of interference orders and optical thicknesses are defined and used to discover and to eliminate the errors of orders and wavelengths. The accuracy is enhanced due to the introduction of the conjugate orders.

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