Appendix I: N-Slit Interferometric Calculations

I.1 Introduction

In this appendix, we attempt to further explain, in plain language, how to proceed with numerical calculations based on the generalized 1D interferometric equation (Duarte, 1991, 1993). This explanation, provided in addition to the description given in Chapter 4, is intended to help in the construction of logical pathways and flowcharts for computer-based numerical calculations.

I.2 Interferometric Equation

The physics is described by the probability amplitude equation

$\langle x|s\rangle ={\displaystyle \sum _{j=1}^{N}\langle x|j\rangle \langle j|s\rangle}$ |
(I.1) |

where

$\langle j|s\rangle =\text{\Psi}({r}_{j,s}){e}^{-i{\text{\theta}}_{j}}$ |
(I.2) |

$\langle x|j\rangle =\text{\Psi}({r}_{x,j}){e}^{-i{\text{\varphi}}_{j}}$ |
(I.3) |

Multiplying by the complex conjugate and rearranging yields the generalized interferometric equation

$|\langle x|$ |

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