
A microlens is a small
lens
A lens is a transmissive optical device that focuses or disperses a light beam by means of refraction. A simple lens consists of a single piece of transparent material, while a compound lens consists of several simple lenses (''elements'') ...
, generally with a
diameter
In geometry, a diameter of a circle is any straight line segment that passes through the centre of the circle and whose endpoints lie on the circle. It can also be defined as the longest Chord (geometry), chord of the circle. Both definitions a ...
less than a
millimetre
330px, Different lengths as in respect of the electromagnetic spectrum, measured by the metre and its derived scales. The microwave is between 1 metre to 1 millimetre.
The millimetre (American and British English spelling differences#-re, -er, i ...
(mm) and often as small as 10 micrometres (μm). The small sizes of the lenses means that a simple design can give good optical quality but sometimes unwanted effects arise due to optical
diffraction
Diffraction is the deviation of waves from straight-line propagation without any change in their energy due to an obstacle or through an aperture. The diffracting object or aperture effectively becomes a secondary source of the Wave propagation ...
at the small features. A typical microlens may be a single element with one plane surface and one spherical convex surface to
refract
In physics, refraction is the redirection of a wave as it passes from one medium to another. The redirection can be caused by the wave's change in speed or by a change in the medium. Refraction of light is the most commonly observed phenome ...
the light. Because micro-lenses are so small, the substrate that supports them is usually thicker than the lens and this has to be taken into account in the design. More sophisticated lenses may use
aspherical surfaces and others may use several layers of optical material to achieve their design performance.
A different type of microlens has two flat and parallel surfaces and the focusing action is obtained by a variation of
refractive index
In optics, the refractive index (or refraction index) of an optical medium is the ratio of the apparent speed of light in the air or vacuum to the speed in the medium. The refractive index determines how much the path of light is bent, or refrac ...
across the lens. These are known as
gradient-index (GRIN) lenses. Some micro-lenses achieve their focusing action by both a variation in refractive index and by the surface shape.
Another class of microlens, sometimes known as micro-
Fresnel lens
A Fresnel lens ( ; ; or ) is a type of composite compact lens (optics), lens which reduces the amount of material required compared to a conventional lens by dividing the lens into a set of concentric annular sections.
The simpler Dioptrics, d ...
es, focus light by refraction in a set of concentric curved surfaces. Such lenses can be made very thin and lightweight.
Binary-optic micro-lenses focus light by
diffraction
Diffraction is the deviation of waves from straight-line propagation without any change in their energy due to an obstacle or through an aperture. The diffracting object or aperture effectively becomes a secondary source of the Wave propagation ...
. They have grooves with stepped edges or multilevels that approximate the ideal shape. They have advantages in fabrication and replication by using standard semiconductor processes such as
photolithography
Photolithography (also known as optical lithography) is a process used in the manufacturing of integrated circuits. It involves using light to transfer a pattern onto a substrate, typically a silicon wafer.
The process begins with a photosensiti ...
and
reactive-ion etching
Reactive-ion etching (RIE) is an etching (microfabrication), etching technology used in microfabrication. RIE is a type of dry etching which has different characteristics than Isotropic etching, wet etching. RIE uses chemical reaction, chemically ...
(RIE).
Micro-lens arrays contain multiple lenses formed in a one-dimensional or two-dimensional array on a supporting substrate. If the individual lenses have circular apertures and are not allowed to overlap, they may be placed in a hexagonal array to obtain maximum coverage of the substrate. However, there will still be gaps between the lenses which can only be reduced by making the micro-lenses with non-circular apertures. With optical
sensor array
A sensor array is a group of sensors, usually deployed in a certain geometry pattern, used for collecting and processing electromagnetic or acoustic signals. The advantage of using a sensor array over using a single sensor lies in the fact that an ...
s, tiny lens systems serve to focus and concentrate the light onto the photo-diode surface, instead of allowing it to fall on non-photosensitive areas of the pixel device. Fill-factor is the ratio of the active refracting area, i.e. that area which directs light to the photo-sensor, to the total contiguous area occupied by the microlens array.
Fabrication
In the 17th century,
Robert Hooke
Robert Hooke (; 18 July 16353 March 1703) was an English polymath who was active as a physicist ("natural philosopher"), astronomer, geologist, meteorologist, and architect. He is credited as one of the first scientists to investigate living ...
and
Antonie van Leeuwenhoek
Antonie Philips van Leeuwenhoek ( ; ; 24 October 1632 – 26 August 1723) was a Dutch microbiologist and microscopist in the Golden Age of Dutch art, science and technology. A largely self-taught man in science, he is commonly known as " ...
both developed techniques to make small glass lenses for use with their
microscope
A microscope () is a laboratory equipment, laboratory instrument used to examine objects that are too small to be seen by the naked eye. Microscopy is the science of investigating small objects and structures using a microscope. Microscopic ...
s. Hooke melted small filaments of
Venetian glass and allowed the
surface tension
Surface tension is the tendency of liquid surfaces at rest to shrink into the minimum surface area possible. Surface tension (physics), tension is what allows objects with a higher density than water such as razor blades and insects (e.g. Ge ...
in the molten glass to form the smooth spherical surfaces required for lenses, then mounting and grinding the lenses using conventional methods.
[Hooke R, Preface to ''Micrographia''. The Royal Society of London. (1665).] The principle has been repeated by performing
photolithography
Photolithography (also known as optical lithography) is a process used in the manufacturing of integrated circuits. It involves using light to transfer a pattern onto a substrate, typically a silicon wafer.
The process begins with a photosensiti ...
into materials such as
photoresist
A photoresist (also known simply as a resist) is a light-sensitive material used in several processes, such as photolithography and photoengraving, to form a patterned coating on a surface. This process is crucial in the electronics industry.
T ...
or
UV curable
epoxy
Epoxy is the family of basic components or Curing (chemistry), cured end products of epoxy Resin, resins. Epoxy resins, also known as polyepoxides, are a class of reactive prepolymers and polymers which contain epoxide groups. The epoxide fun ...
and melting the polymer to form arrays of multiple lenses.
[Daly D, Stevens R F, Hutley M C, Davies N, "The manufacture of microlenses by melting photoresist". ''Proceedings of seminar "Microlens Arrays"'', May 1991. IOP Short Meeting Series No 30, 23–34.] More recently microlens arrays have been fabricated using convective assembly of colloidal particles from suspension.
Advances in technology have enabled micro-lenses to be designed and fabricated to close tolerances by a variety of methods. In most cases multiple copies are required and these can be formed by
moulding or
embossing from a master lens array. The master lens array may also be replicated through the generation of an
electroform using the master lens array as a
mandrel
A mandrel, mandril, or arbor is a tapered tool against which material can be forged, pressed, stretched or shaped (e.g., a ring mandrel - also called a triblet - used by jewellers to increase the diameter of a wedding ring), or a flanged or t ...
. The ability to fabricate arrays containing thousands or millions of precisely spaced lenses has led to an increased number of applications.
[Borrelli, N F. ''Microoptics technology: fabrication and applications of lens arrays and devices''. Marcel Dekker, New York (1999).]
The optical efficiency of diffracting lenses depends on the shape of the groove structure and, if the ideal shape can be approximated by a series of steps or multilevels, the structures may be fabricated using technology developed for the
integrated circuit
An integrated circuit (IC), also known as a microchip or simply chip, is a set of electronic circuits, consisting of various electronic components (such as transistors, resistors, and capacitors) and their interconnections. These components a ...
industry, such as
wafer-level optics. The study of such diffracting lenses is known as
binary optics.
[Veldkamp W B, McHugh T J. "Binary optics", ''Scientific American'', Vol. 266 No. 5 pp 50–55, (May 1992).]
Micro-lenses in recent imaging chips have attained smaller and smaller sizes. The Samsung NX1 mirrorless system camera packs 28.2 million micro-lenses onto its CMOS imaging chip, one per photo-site, each with a side length of just 3.63 micrometer. For smartphones this process is miniaturized even further: The Samsung Galaxy S6 has a CMOS sensor with pixels only 1.12 micrometer each. These pixels are covered with micro-lenses of an equally small pitch.
Micro-lenses can be also made from liquids. Recently, a glass-like resilient free-form micro-lenses were realized via ultra-fast laser 3D nanolithography technique. The sustained ~2 GW/cm
2 intensity for femtosecond pulsed irradiation shows its potential in high power and/or harsh environment applications.
Bio-microlenses have been developed to image biological specimens without causing damage. These can be made from a single cell attached to a fiber probe.
Wafer-level optics
Wafer-level optics (WLO) enables the design and manufacture of miniaturized optics at the wafer level using advanced
semiconductor
A semiconductor is a material with electrical conductivity between that of a conductor and an insulator. Its conductivity can be modified by adding impurities (" doping") to its crystal structure. When two regions with different doping level ...
-like techniques. The end product is cost effective, miniaturized optics that enable the reduced form factor of camera modules for
mobile devices
A mobile device or handheld device is a computer small enough to hold and operate in hand. Mobile devices are typically battery-powered and possess a flat-panel display and one or more built-in input devices, such as a touchscreen or keypad. Mod ...
.
["Wafer-Level Camera Technologies Shrink Camera Phone Handsets", ''Photonics.com'', August 2007](_blank)
The technology is scalable from a single-element CIF/VGA lens to a multi-element
mega pixel lens structure, where the lens wafers are precision aligned, bonded together and diced to form multi-element lens stacks. As of 2009 the technology was used in about 10 percent of the mobile phone camera lens market.
Semiconductor stacking methodology can now be used to fabricate wafer-level optical elements in a chip scale package. The result is a wafer-level camera module that measures .575 mm x 0.575 mm. The module can be integrated into a catheter or endoscope with a diameter as small as 1.0 mm.
Applications
Single micro-lenses are used to couple light to
optical fibres; microlens arrays are often used to increase the light collection efficiency of
CCD arrays and
CMOS sensor
An active-pixel sensor (APS) is an image sensor, which was invented by Peter J.W. Noble in 1968, where each pixel sensor unit cell has a photodetector (typically a pinned photodiode) and one or more active transistors. In a metal–oxide–semic ...
s, to collect and focus light that would have otherwise fallen onto the non-sensitive areas of the sensor. Micro-lens arrays are also used in some
digital projector
A video projector is an image projector that receives a video signal and projects the corresponding image onto a projection screen using a lens (optics), lens system. Video projectors use a very bright ultra-high-performance lamp (a special me ...
s, to focus light to the active areas of the
LCD
A liquid-crystal display (LCD) is a flat-panel display or other electronically modulated optical device that uses the light-modulating properties of liquid crystals combined with polarizers to display information. Liquid crystals do not em ...
used to generate the image to be projected. Current research also relies on micro-lenses of various types to act as concentrators for high efficiency
photovoltaic
Photovoltaics (PV) is the conversion of light into electricity using semiconducting materials that exhibit the photovoltaic effect, a phenomenon studied in physics, photochemistry, and electrochemistry. The photovoltaic effect is commercially ...
s for electricity production.
Combinations of microlens arrays have been designed that have novel imaging properties, such as the ability to form an image at unit
magnification
Magnification is the process of enlarging the apparent size, not physical size, of something. This enlargement is quantified by a size ratio called optical magnification. When this number is less than one, it refers to a reduction in size, so ...
and not inverted as is the case with conventional lenses. Micro-lens arrays have been developed to form compact imaging devices for applications such as
photocopier
A photocopier (also called copier or copy machine, and formerly Xerox machine, the generic trademark) is a machine that makes copies of documents and other visual images onto paper or plastic film quickly and cheaply. Most modern photocopiers ...
s and
mobile-phone camera
A camera is an instrument used to capture and store images and videos, either digitally via an electronic image sensor, or chemically via a light-sensitive material such as photographic film. As a pivotal technology in the fields of photograp ...
s.
Another application is in
3D imaging
In computer vision and computer graphics, 3D reconstruction is the process of capturing the shape and appearance of real objects.
This process can be accomplished either by active or passive methods. If the model is allowed to change its shape i ...
and
displays. In 1902,
Frederic E. Ives proposed the use of an array of alternately transmitting and opaque strips to define the viewing directions for a pair of interlaced images and hence enable the observer to see a 3D
stereoscopic image.
[Ives FE. ''Parallax stereogram and process of making same''. US Patent 725,567 (1903).] The strips were later replaced by Hess with an array of
cylindrical lens
A cylindrical lens is a lens (optics), lens which Focus (optics), focuses light into a line instead of a point as a Lens (optics), spherical lens would. The curved face or faces of a cylindrical lens are sections of a Cylinder (geometry), cylinde ...
es known as a
lenticular screen, to make more efficient use of the illumination.
[Hess W. ''Improved manufacture of stereoscopic pictures''. UK Patent 13,034 (1912).]
Hitachi have 3D displays free of 3D glasses using arrays of microlens to create the stereoscopic effect.
More recently, the availability of arrays of spherical micro-lenses has enabled
Gabriel Lippmann
Gabriel Lippmann ( ; 16 August 1845 – 12 July 1921) was a French physicist who received the Nobel Prize in Physics in 1908 "for his method of reproducing colours photographically based on the phenomenon of interference".
Early life and educa ...
's idea for
integral photography to be explored and demonstrated.
[Stevens R F, Davies N. "Lens arrays and photography". ''The Journal of Photographic Science''. Vol 39 pp 199–208, (1991).] Colloidal micro-lenses have also enabled single molecule detection when used in conjunction with a long working distance, low light collection efficiency objective lens.
Micro-lens arrays are also used by
Lytro to achieve light field photography (
plenoptic camera
A light field camera, also known as a plenoptic camera, is a camera that captures information about the ''light field'' emanating from a scene; that is, the intensity of light in a scene, and also the precise direction that the light rays are tr ...
) that eliminates the need for initial focusing prior to capturing images. Instead, focus is achieved in software during post-processing.
Characterization
In order to characterize micro-lenses it is necessary to measure parameters such as the
focal length
The focal length of an Optics, optical system is a measure of how strongly the system converges or diverges light; it is the Multiplicative inverse, inverse of the system's optical power. A positive focal length indicates that a system Converge ...
and quality of transmitted
wavefront
In physics, the wavefront of a time-varying ''wave field (physics), field'' is the set (locus (mathematics), locus) of all point (geometry), points having the same ''phase (waves), phase''. The term is generally meaningful only for fields that, a ...
.
[Iga K, Kokburn Y, Oikawa M. ''Fundamentals of microoptics''. Academic Press, London (1984).] Special techniques and new definitions have been developed for this.
For example, because it is not practical to locate the
principal planes of such small lenses, measurements are often made with respect to the lens or substrate surface. Where a lens is used to couple light into an optical fibre the focused wavefront may exhibit
spherical aberration
In optics, spherical aberration (SA) is a type of aberration found in optical systems that have elements with spherical surfaces. This phenomenon commonly affects lenses and curved mirrors, as these components are often shaped in a spherical ...
and light from different regions of the microlens aperture may be focused to different points on the
optical axis
An optical axis is an imaginary line that passes through the geometrical center of an optical system such as a camera lens, microscope or telescopic sight. Lens elements often have rotational symmetry about the axis.
The optical axis defines ...
. It is useful to know the distance at which the maximum amount of light is concentrated in the fibre
aperture
In optics, the aperture of an optical system (including a system consisting of a single lens) is the hole or opening that primarily limits light propagated through the system. More specifically, the entrance pupil as the front side image o ...
and these factors have led to new definitions for focal length. To enable measurements on micro-lenses to be compared and parts to be interchanged, a series of international standards has been developed to assist users and manufacturers by defining microlens properties and describing appropriate measurement methods.
[ISO 14880-1:2001. ''Optics and photonics - Microlens arrays - Part 1: Vocabulary''][ISO 14880-2:2006. ''Optics and photonics - Microlens arrays - Part 2: Test methods for wavefront aberrations''][ISO 14880-3:2006. ''Optics and photonics - Microlens arrays - Part 3: Test methods for optical properties other than wavefront aberrations''][ISO 14880-4:2006. ''Optics and photonics - Microlens arrays - Part 4: Test methods for geometrical properties''.]
Micro-optics in nature
Examples of micro-optics are to be found in nature ranging from simple structures to gather light for
photosynthesis
Photosynthesis ( ) is a system of biological processes by which photosynthetic organisms, such as most plants, algae, and cyanobacteria, convert light energy, typically from sunlight, into the chemical energy necessary to fuel their metabo ...
in leaves to
compound eye
A compound eye is a Eye, visual organ found in arthropods such as insects and crustaceans. It may consist of thousands of ommatidium, ommatidia, which are tiny independent photoreception units that consist of a cornea, lens (anatomy), lens, and p ...
s in
insect
Insects (from Latin ') are Hexapoda, hexapod invertebrates of the class (biology), class Insecta. They are the largest group within the arthropod phylum. Insects have a chitinous exoskeleton, a three-part body (Insect morphology#Head, head, ...
s. As methods of forming micro-lenses and detector arrays are further developed, the ability to mimic optical designs found in nature will lead to new compact optical systems.
[Land M. "The optics of animal eyes". ''Proc Royal Institution'', vol 57, pp. 167–189, (1985)][Duparré J. et al., "Microoptical telescope compound eye". ''Optics Express'', Vol. 13, Issue 3, pp. 889–903 (2005).]
See also
*
Lenticular lens
*
Integral imaging
Integral imaging is a three-dimensional imaging technique that captures and reproduces a light field by using a two-dimensional array of microlenses (or lenslets), sometimes called a fly's-eye lens, normally without the aid of a larger overall Obje ...
*
Plenoptic camera
A light field camera, also known as a plenoptic camera, is a camera that captures information about the ''light field'' emanating from a scene; that is, the intensity of light in a scene, and also the precise direction that the light rays are tr ...
References
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Lenses
Microtechnology