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Photonics Dictionary

Abbe sine condition

The Abbe sine condition is a fundamental principle in optical physics that relates to the performance of an optical system, particularly its ability to produce high-quality images free from spherical aberration. It was formulated by the German physicist Ernst Abbe in the 19th century.

The Abbe sine condition states that for an optical system (such as a lens or a microscope objective) to be free from spherical aberration, the relationship between the angles of the incoming and outgoing light rays must satisfy the following equation:
 
Optical axis: The central line that defines the path along which light travels through the system.

Incident ray: A light ray that strikes the surface of the lens or mirror.

Outgoing ray: The light ray that emerges from the lens or mirror after refraction or reflection.
Significance

Spherical aberration: This occurs when light rays passing through different parts of a lens or mirror do not converge to the same point, leading to a blurred image.

Correction of aberration: The Abbe sine condition helps in designing lenses that minimize this aberration, ensuring that all rays converge accurately to form a sharp image.

Practical application: The Abbe sine condition is especially important in the design of high-precision optical instruments like microscopes and telescopes. By ensuring that the condition is met, optical designers can create systems that produce clearer and more accurate images, which is critical in scientific research and various applications in imaging technology.
 
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