Related Experiment Video
Updated: Jul 2, 2026

10:01
Demonstration of a Hyperlens-integrated Microscope and Super-resolution Imaging
Published on: September 8, 2017
Depth of field extension with spherical optics
1Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109, USA. pantazis.mouroulis@jpl.nasa.gov
Optics Express
|August 20, 2008
Summary
Introducing spherical aberration into lens design extends microscope depth of field. This method preserves resolution without special elements, offering an achromatic and azimuth-independent performance.
Area of Science:
- Optical engineering
- Microscopy
Background:
- Spherical aberration is a common optical defect.
- Extending depth of field in microscopy is crucial for imaging thicker samples.
Purpose of the Study:
- To investigate the use of spherical aberration for extending the depth of field in microscope objectives.
- To evaluate the performance and characteristics of lenses designed with induced spherical aberration.
Main Methods:
- Designing two low-power microscope objectives incorporating spherical aberration.
- Analyzing the wavefront error and its impact on depth of field and resolution.
- Assessing the achromatic properties and azimuth independence of the lens performance.
Main Results:
- Achieved an extension of +/- 0.88 lambda in wavefront error for depth of field.
- Maintained resolution up to half the maximum diffraction-limited spatial frequency.
- Demonstrated achromatic performance across the visible spectrum and azimuth independence.
Conclusions:
- Spherical aberration can effectively extend the depth of field in microscope objectives.
- This technique offers a viable alternative to special phase elements for enhanced depth of field.
- The designed lenses provide robust, high-performance imaging capabilities.
Related Concept Videos
Focusing of Light in the Eye
Light rays enter the eye through the cornea, a transparent dome-shaped tissue that is the eye's outermost layer. The cornea bends or refracts, light rays traveling to the pupil. The shape of the cornea determines how much of the light is bent and whether the image will be focused correctly on the retina at the back of the eye. Once the light has passed through both refraction layers, it converges into a single focal point onto a small area. This is where photoreceptors start transforming...
Spherical Coordinates
Spherical coordinate systems are preferred over Cartesian, polar, or cylindrical coordinates for systems with spherical symmetry. For example, to describe the surface of a sphere, Cartesian coordinates require all three coordinates. On the other hand, the spherical coordinate system requires only one parameter: the sphere's radius. As a result, the complicated mathematical calculations become simple. Spherical coordinates are used in science and engineering applications like electric and...
Imaging Biological Samples with Optical Microscopy
Optical microscopy uses optic principles to provide detailed images of samples. Antonie van Leeuwenhoek designed the first compound optical microscope in the 17th century to visualize blood cells, bacteria, and yeast cells. In 1830, Joseph Jackson Lister created an essentially modern light microscope. The 20th century saw the development of microscopes with enhanced magnification and resolution.
In optical microscopy, the specimen to be viewed is placed on a glass slide and clipped on the stage...
In optical microscopy, the specimen to be viewed is placed on a glass slide and clipped on the stage...
Gauss's Law: Spherical Symmetry
A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a uniform...
Interference and Diffraction
Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
Gravity between Spherical Bodies
Newton's law of gravitation describes the gravitational force between any two point masses. However, for extended spherical objects like the Earth, the Moon, and other planets, the law holds with an assumption that masses of spherical objects are concentrated at their respective centers.
This assumption can be proved easily by showing that the expression for gravitational potential energy between a hollow sphere of mass (M) and a point mass (m) is the same as it would be for a pair of extended...
This assumption can be proved easily by showing that the expression for gravitational potential energy between a hollow sphere of mass (M) and a point mass (m) is the same as it would be for a pair of extended...

