Appendix A: Derivation of the Fresnel–Kirchhoff Diffraction Formula from the Rayleigh–Sommerfeld Diffraction Formula
Keigo Iizuka
Abstract
Open-access reader
Keigo Iizuka
Abstract
Open-access reader
The Rayleigh–Sommerfeld diffraction formula uses the Fourier transform of the input field, but Fresnel–Kirchhoff's integral equation uses the input field directly to find the diffraction field. This appendix shows how the latter is derived from the former formula.
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The Rayleigh–Sommerfeld diffraction formula uses the Fourier transform of the input field, but Fresnel–Kirchhoff's integral equation uses the input field directly to find the diffraction field. This appendix shows how the latter is derived from the former formula.
Key concepts: Kirchhoff's diffraction formula, Diffraction, Fresnel diffraction, Fresnel integral, Rayleigh scattering, Mathematics, Fourier transform, Field (mathematics)