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Related Experiment Video

Updated: Jan 19, 2026

VSEPR Theory and the Basic Molecular Shapes

VSEPR Theory and the Basic Molecular Shapes

Spatio-angular fluorescence microscopy I. Basic theory.

Talon Chandler, Hari Shroff, Rudolf Oldenbourg

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|September 11, 2019

Summary

This summary is machine-generated.

We present a new spatio-angular theory for fluorescence microscopy, unifying the analysis of single and multiple fluorescent molecules. This framework introduces the dipole spatio-angular transfer function for quantitative imaging.

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Area of Science:

Optics and Photonics
Biophysics
Microscopy

Background:

Quantitative fluorescence microscopy is crucial for biological imaging.
Existing frameworks may not fully capture the complexities of dipole imaging.

Purpose of the Study:

To develop a unified spatio-angular theory for fluorescence microscopy.
To provide a framework for analyzing systems imaging single and multiple fluorescent dipoles.

Main Methods:

Modeling an aplanatic microscope as a linear Hilbert-space operator.
Expressing the operator in a basis of complex exponentials and spherical harmonics.

Main Results:

Introduction of the dipole spatio-angular transfer function.
Demonstration of a convenient form for the operator.

Conclusions:

The developed theory has broad implications for quantitative fluorescence microscopy.
This work lays the foundation for a complete theory of spatio-angular imaging.