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The theoretical maximum angular aperture of light entering the front lens of an objective is 1800. This would give a θ value of 900 (half of the angle of the light cone). As a result, the theoretical maximum NA of an objective would be one (which is equal to the sine of 90). The refractive index of air is also one, therefore the maximum (theoretical) NA of an objective with an air gap between the front lens and the specimen would only equal one.

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Working f-number

Where ‘n’ is the refractive index of the medium between the cover glass and the objective front lens (e.g. air, water or oil).

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To help to understand NA, it is useful to also have some understanding of refraction. In microscopy and optics, refraction refers to the change in direction of light waves which results from a change in the medium though which light passes (for example, glass, air, oil or water).

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When UV curing materials are exposed to UV light, a chemical cross-linking reaction occurs, typically within seconds or a few minutes, depending on the chemical material, layer thickness, and UV light intensity. Comprehensively tracking this chemical reaction requires a very sensitive device such as an MCR rheometer. The MCR devices are equipped with a set of features that guarantee the most accurate results. First of all, the MCR’s unique TruStrain™ method comes into account, enabling fast data acquisition and thus the highest possible data rate during oscillatory tests. The sensitive normal force control guarantees compensation of sample shrinkage during the reaction and ensures a correctly filled gap. The MCR rheometers also feature an online compliance correction for accurate results even for the stiffest samples after curing. These functions avoid measuring errors and ensure accurate and reproducible results. Analysis methods for onset and curing points are available as standard.

There is an inverse relationship between the angular aperture and the working distance of an objective. I have covered working distance in my article entitled ‘Looking Down and Through: Microscope Optics 3: Oil Immersion Objectives’, but to briefly recap, the working distance is the actual distance (in millimetres or microns) between the objective front lens and the surface of the cover slip when the object is in sharp focus. Objectives with short working distances will consequently have a greater ability to gather more oblique light rays from a specimen compared to longer working distance objectives. Angular aperture is usually determined by the optics within the objective and each objective lens will have an optimal focal length and working distance- it can’t simply be increased by moving the objective closer to the slide!

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Refraction is described in a formula known as ‘Snell’s Law’. Refraction was first described in the year 984 by a Persian physicist and mathematician called Ibn Sahl. In 984, he presented a manuscript in which he described how mirrors and curved lenses focused and bent light. Snell’s Law is actually named after a Dutch mathematician and astronomer called Willebrord Snellius (1580-1626). Although he was credited for mathematically describing refraction, it is more accurate to say that he ‘rediscovered’ diffraction after the work of Ibn Sahl.

Acceptance angle

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It contains lots of wavelength, such as 365nm, 385nm, 395nm, etc.. It can be fixed and removable, easy to operate. And we also can provide ...

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The UV Light Curing System is one part of the modular RheoOptics Toolbox for the MCR rheometer series. The modular concept of the MCR rheometer series allows you to quickly and easily switch to other accessories for combined optical and rheological investigations. The Peltier and electrical temperature devices available for the MCR series can be used with other rheo-optic tools, such as Raman spectroscopy, IR spectroscopy, (fluorescence) light microscopy, Small Angle Light Scattering (SALS), and polarized imaging. In this way you can efficiently use your MCR rheometer to apply different methods that complement each other and advance your materials research.

In summary, without a correspondingly high NA, a high magnification objective will have low resolution. Most microscope companies offer objectives which have high NA values for use with immersion medium. If you are in the lucky position of buying a custom microscope, or buying new objectives for your existing instrument, you should always consider buying objectives which offer the highest NA value which you can afford.

Therefore, the refractive index of air is a limiting factor in achieving the highest possible NA of an objective. As a result, objectives with NA values greater than one are the immersion objectives where the air gap is replaced by a medium such as water or oil. An angular aperture of 1800 is physically unachievable- the widest angle of light which can be collected by an objective is around 1440. Consequently, the maximum achievable NA of a non-immersion objective is approximately 0.95 (which is equal to the sine of 72).

Where ‘θ’ is half of the angle of the cone of light which is collected by the front lens lens (i.e., the angular aperture).

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The NA of an objective is an important aspect as it relates to the final image formation seen when looking down through the eyepieces (which will be covered in full in a forthcoming blog article). Briefly, resolution relates to the amount of detail which can be seen in the final formation of an image. An objective with a high magnification would be unable to resolve detail in your sample without a similarly high NA.

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The UV Light Curing System as part of the RheoOptics toolbox for the MCR rheometers allows the investigation of UV-light-initiated curing reactions. With this setup UV-sensitive inks, glues, or coatings are irradiated by a UV light source simultaneous to the rheological characterization of the material. You achieve fast and accurate results even for demanding applications with the unique TruStrain™ control which allows the highest data rates during oscillation, the sensitive normal force control for shrinkage compensation, and online compliance correction. The Peltier hood and inert gas atmosphere ensure accurate temperature control from -20 °C to 200 °C. Read more about rheological investigations of adhesives and sealants in the Anton Paar Wiki .

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For example, the aspheric design Biofinity Multifocal Distance centre (CooperVision) lens with a + 2.50D add was found to reduce refractive myopia progression ...

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Metaphorically, think of it this way: if you are standing in front of a door with a key hole which leads into another room, then when you are at a distance, you will only be able to see a little of the light and objects within the room. If you press your eye against the key hole, you will then see more of the detail and light in the room as you have, in theory, increased the angular aperture of your eye.

Etched onto the barrel of each objective on a microscope, you will find a variety of information. In addition to the magnification and the optical correction (see my article published entitled ‘Looking Down and Looking Through: The Optics of a Microscope 2: The Objectives’ for more information on aberrations and corrections), you will find a number without units. This is the Numerical Aperture (or ‘NA’) of the objective.

The UV Light Curing System is a powerful tool for material characterization which helps you reduce costs when redesigning the photochemical polymerization process of your UV-sensitive material. You benefit from quick and accurate temperature control from -20 °C to 200 °C with the actively controlled Peltier hood. For measurements under higher temperature conditions, an electrical temperature control from ambient temperature to 300 °C and convection temperature devices from -40 °C to 200 °C are also available. All systems allow purging with inert gas to avoid undesired chemical reactions. Exchangeable lower glass plates and disposable plates of various diameters are available for samples which cannot easily be removed from the plates after the measurement.

Numerical aperture formula

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Consider the chemistry of your sample, your overall process design, and required maintenance before choosing the type of UV light to use:

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Numerical apertureofmicroscope

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Mercury light source: For homogenous sample illumination, a powerful high-pressure mercury UV source is connected by default to the temperature device by a flexible light guide and can be controlled remotely with the RheoCompass software during sample preparation and measurement. The light source is available with different filters for the emission of discrete wavelengths and with a radiometer for calibration purposes.

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Rheology plays an important role when it comes to the development of UV-sensitive materials in order to develop application-specific formulations. UV-curing materials are an essential part of many industries, including medicine and life science, automotive, polymers, packaging, printing, electronics, and even cosmetics (for example artificial fingernails and gel nail polish). The UV Light Curing System supports you in developing and producing such materials and helps increase the speed of production and reduce costs while ensuring high product quality.

Besides switching between different accessories, you can also combine certain methods, like UV and Raman spectroscopy, UV and IR spectroscopy, and UV and humidity control. This gives you access to even more sophisticated methods for your product development and research tasks.

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To simplify this further, as light travels through one medium to another, it changes speed (e.g. when passing from air to water, light slows down). When light passes across the boundary of two different medium at an angle other than 900, this results in a change of direction. Although the frequency of light doesn’t change, the resultant wavelength will be determined by nature of the medium.

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Snell’s Law describes the relationship between the angles of incidence and refraction of light as it travels through the boundary of two different medium (e.g. from air to glass). The Law states that the ratio of the sines of the angles of incident and refracted light are equivalent to the reciprocal of the ratio of the refractive indices through which the light passes.

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Numerical aperture is proportional to refractive index. For example, air has a refractive index of 1.00, water has a refractive index of 1.33, whereas many of the immersion oils have refractive indexes around 1.52.

The NA of an objective is the simply the ability of the lenses to collect light at a fixed distance from the sample which you are viewing. When light passes through and leaves a specimen, it enters the front lens of an objective as an inverted cone. However, a percentage of this image-forming light is refracted and reflected. Objectives which have a high NA allow for increasingly oblique light waves to be collected by the front lens which will in turn form a final image which is not only relatively brighter, but contains more information and detail and is highly resolved.

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Na of lensformula

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The light from the microscope source passes through the specimen/slide and continues through the air (or an immersion medium) as a cone of light between the cover glass and the objective front lens. The ‘angular aperture’ refers to the maximum angle of the edges of this image-forming cone of light which can be collected by the objective front lens when the specimen is in focus. In addition to an increasing NA, image brightness and image detail (resolution) are also related to the angular aperture.

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