Abbe's Diffraction Theory and Fourier Optics

My latest video on YouTube covers how a microscope ‘works’ in terms of wave optics with an easy-to-understand explanation of Abbe’s diffraction theory backed up by practical demonstrations on the 3D printed PUMA microscope with 3D printed diffraction apparatus (der Diffraktionsapparat nach PUMA):

CONTENTS

00:00 Limitations of ray theory (why a new theory was needed)
03:05 Abbe’s diffraction theory for ‘straight up’ illumination (intro)
05:17 Abbe’s theory continued and intro to Fourier Optics
13:02 The numerical aperture of illumination (Abbe’s resolution formula)
15:31 An alternative perspective (Rayleigh’s resolution formula)
18:28 Der Diffraktionsapparat (nach Abbe and nach PUMA)
21:15 Interpreting optical diffraction spectra (for beginners)
23:28 Abbe’s experiments (Fourier optics with a PUMA microscope)
33:52 The BFP image as a convolution of the condenser’s aperture image with a Fourier PSF.
40:01 Conclusions

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