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- Nyquist App
- Nyquist App Vs. Microscope Resolution
Nyquist App vs. Microscope Resolution Utilizzo e statistiche
In this app, you can practice the Nyquist stability criterion. With the Nyquist stability criterion, you can determine the stability of the closed loop based on the frequency response of the open loop, without explicitly calculating the poles of the closed loop.
This app was developed at the Institute for Systems Theory and Automatic Control of the University of Stuttgart and accompanies the
course "Einführung in die Regelungstechnik" at the University of Stuttgart.
Nevertheless, the content and tasks are self-contained, and we encourage all interested in this topic to play with the app and practice the Nyquist stability criterion.
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Characterize your microscope objective lenses, see how well matched they are to your microscope's image acquisition system. The App supports both transmitted light objectives and fluorescence objectives. Input the magnification, immersion medium (air, oil, glycerol or silicone oil), NA (numerical aperture), condenser NA and wavelength of light (lambda), to calculate the lateral resolution, axial resolution and brightness of the objective. Characterize your acquisition system (camera pixel size, camera binning and additional magnification) to check if you're sampling at Nyquist frequency. Each of your objectives can be saved and easily restored, and shared with other microscopists via e-mail, MMS, Linked-In or even Facebook. The equations used for the calculations can be displayed. The sources of equations are referenced in the "Information" section.
* Theoretical Resolution is calculated according Ernst Abbe's famous equation (Abbe 1873)
* Actual Resolution is calculated according to ‘The Rayleigh Criterion’
* Axial Resolution of fluorescence objectives is calculated according to Inoue's chapter in Jim Pawley's “Handbook of Biological Confocal Microscopy” (3rd edition 2006)
* Camera pixel size can be loaded from the list of cameras, if your camera is not in the list, you can enter it manually.
* Select the "share" feature to share all output to e-mail, MMS or Linked-In
* It doesn't matter if your microscope was made by Zeiss, Evos, Leica, Olympus, Nikon, Motic, or Meiji Techno, the principles are identical and you will find the app useful.
* The list of cameras in the Camera dialog includes those made by Andor, Hamamatsu, Photometrics, PCO, QImaging, Leica, Lumenera, Olympus, Nikon, Motic and Zeiss.
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gennaio 18, 2026