WO2009037367A1 - Coma-based image coding in optical systems - Google Patents
Coma-based image coding in optical systems Download PDFInfo
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- WO2009037367A1 WO2009037367A1 PCT/ES2007/070161 ES2007070161W WO2009037367A1 WO 2009037367 A1 WO2009037367 A1 WO 2009037367A1 ES 2007070161 W ES2007070161 W ES 2007070161W WO 2009037367 A1 WO2009037367 A1 WO 2009037367A1
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- 230000003287 optical effect Effects 0.000 title claims abstract description 80
- 206010010071 Coma Diseases 0.000 title abstract description 4
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- 230000015572 biosynthetic process Effects 0.000 claims description 7
- 238000000034 method Methods 0.000 description 9
- 238000013461 design Methods 0.000 description 7
- 210000001747 pupil Anatomy 0.000 description 7
- 230000008901 benefit Effects 0.000 description 5
- 238000006073 displacement reaction Methods 0.000 description 5
- 238000004519 manufacturing process Methods 0.000 description 5
- 238000012805 post-processing Methods 0.000 description 4
- 230000000694 effects Effects 0.000 description 3
- 238000012546 transfer Methods 0.000 description 3
- 230000005540 biological transmission Effects 0.000 description 2
- 230000007547 defect Effects 0.000 description 2
- 230000005693 optoelectronics Effects 0.000 description 2
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- 206010073261 Ovarian theca cell tumour Diseases 0.000 description 1
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- 208000001644 thecoma Diseases 0.000 description 1
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
- G02B27/0025—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 for optical correction, e.g. distorsion, aberration
- G02B27/0068—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 for optical correction, e.g. distorsion, aberration having means for controlling the degree of correction, e.g. using phase modulators, movable elements
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
- G02B27/0075—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 with means for altering, e.g. increasing, the depth of field or depth of focus
Definitions
- the present invention relates to an optical system for encoding an image by means of the generation of aberration inherent in said optical system.
- the comma refers to the aberration inherent to certain optical systems due to some design defects or imperfections in the lenses or other components, which results in pointless off-axis sources that may appear distorted
- Aberrations in optical systems generally lead to degradation of the image, occurring when the light coming from a point of an object does not converge towards (or does not diverge from) a single point after it has been transmitted through the system.
- the players need to correct the optical systems to compensate for these aberrations.
- the comma is defined as a variation in the increase on the entrance pupil.
- the coma may depend on the wavelength.
- the comma is an inherent property of certain optical systems comprising mirrors in which the light of a point source in the center of the field is perfectly focused on the focal point of the mirror (not as in spherical mirrors, where the light of the parts outside the mirror focus closer to it than the parts coming from the center, a fact known as spherical aberration).
- the different parts of the mirror do not reflect the light towards the same point. This results in a point of light that is not centered, appearing wedge-shaped. The more displacement of the center of the axis, the more noticeable this effect is.
- the problem that arises is to design an opto-mechanical element that is capable of acting on the wavefront so that said front is coded to, as explained below, make the system insensitive to intrinsic aberrations or defects of the Image produced by blurring.
- ATHEY 1995 combine to solve the above problem an optical system whose pupil has been modified by inserting phase sheets therein to obtain an intermediate image (encoded by the induced wavefront deformation), with a digital post-processing of said image to achieve the development of the complete system for a wide range of object distances.
- the response of an optical system is modified by a phase mask located in the exit pupil so that its PSF (Point Spread Function) remains invariable to blur and other aberrations while at the same time the OTF (Optical Transfer Function) does not have zeros in its frequency domain. This allows the subsequent restoration of the digital image after it has been captured by the detector.
- PSF Point Spread Function
- OTF Optical Transfer Function
- the optical part of the hybrid system can be designed to have a greater focus range and a great tolerance to its own intrinsic aberrations [Cathey 02]: the wavefront coding and post-processing, achieve that the optical system be insensitive to aberrations and blur. If the optical system is of high quality, the entire focus range can be used to keep the hybrid system from varying before a possible blur.
- the opto-electronic hybrid image system requires a new method for optimization, since the optical system, the sampling of intermediate images, the processing signal, etc. They are considered together.
- the procedure is more complex as more parameters are introduced than in a traditional optical design, although it has the advantage of allowing the range of focus to be distributed among the various factors.
- the most used design for coding the image is the cubic phase sheet.
- adding an additional element in the optical path reduces the transmission of the optical system, which negatively affects its performance, especially in conditions of low illumination or low white contrast. Moreover, this additional element is added by permanently in the optical system, not being able to withdraw easily when convenient.
- the present invention is oriented to the solution of these inconveniences.
- the present invention proposes to achieve the desired coding of the wavefront in an optical system by decentralizing the optical elements that make up said system. If said runout is done in a controlled manner, it is possible to quantify how much the original wavefront has been deformed, and the wavefront can also be corrected electronically afterwards in the image.
- the optical system of the invention achieves the desired aberration without using additional elements in the optical system, so that the transmission of said system is not influenced, while the offset of elements proposed by the invention can be removed when it is created. necessary or convenient.
- optical system of the invention Another advantage of the optical system of the invention is that it can be applied to small optical systems.
- the type of machines used in the manufacture of the lenses of the optical system according to the invention is the conventional one, so that the cost of carrying out an optical system according to the invention does not become more expensive.
- Figure 1 shows the lens offset of an optical system according to a first embodiment of the invention.
- Figure 2 shows the lens offset of an optical system according to a second embodiment of the invention.
- the present invention proposes an optical system that forms the image of an object comprising an optical axis 1, an image-forming objective, preferably formed by conventional lenses 2, 3, which reproduces the images of said object and a light source that directs natural or artificial light through the lenses 2, 3 and towards the object to be observed, in which the coding of the image of the object is carried out by means of an offset 4 of at least one of the lenses 2, 3, with revolution symmetry with respect to the optical axis 1 of the optical system to which it belongs.
- Said runout 4 generates an axis comma over the entire field of the system that overlaps with the other aberrations of the system.
- optical system of the invention is that of allowing to adjust the magnitude of the comma introduced into the system by varying the displacement or offset 4 between the lenses 2, 3. This allows adjusting
- MTF Modulation Transfer Function
- Transfer Function of the Modulation stable
- the invention proposes to design, as a technological demonstrator, an afocal system that can be put before any well-corrected image-forming objective.
- the design thus consists of a concave flat lens 2 plus a convex flat lens 3, the radii 5 of both lenses 2, 3 being equal and with the outer surfaces 6 of both flat lenses.
- the phase sheet effect is achieved with an offset 4 of each lens 2, 3 with respect to the optical axis 1 in equal and opposite magnitudes vertically, according to a first embodiment of the invention ( Figure 1).
- the phase sheet effect is achieved with a rotation-shaped offset 7 of the convex flat lens 3 with respect to the optical axis 1 according to an angle 8 with respect to the normal one of said optical axis 1 ( Figure 2).
- the phase variation introduced by the optical system of the invention can be calculated based on the offset or displacement 4 of each element 2,3. Being “R” the radius of curvature of the lenses 2, 3, "d” the displacement or offset 4 of said lenses, considering that the light goes from left to right and considering (X, Y) the coordinate system originating in The optical axis 1, the thickness through the first element or lens 2 is:
- the thickness of the second element or lens 3 is:
- n is the index of refraction of the material in which the lenses are manufactured: y So that the phase change in the plane (X, Y), that is, in the pupil is:
- the first term introduces a lateral displacement of the image that can be easily compensated, while the second is, specifically, the comma term.
- the amount of phase variation introduced depends on "d" and the maximum values of x and y, that is, the size of the pupil for fixed values of n and R.
- the main advantages of the optical system of the present invention for image coding are: o the phase sheet does not require complex manufacturing techniques since it is formed by elements with revolution symmetry; or the optical system is not expensive, since it is not necessary to introduce additional elements; or the magnitude of comma introduced into the system is variable and adjustable according to the working conditions of the equipment; or a wider range is used in manufacturing tolerances, which lowers costs in production; or by remaining invariant to blurring, the optical system has a clear application in IR optics, since it would not be necessary to terrify the system.
- the two lenses 2, 3 are part of the components of the optical system to which a movement is added, such as those described in the simple optical described in the previous points.
- the choice of lenses 2, 3 will depend on each specific optical system and the conditions that are applied in the design process.
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Abstract
The invention relates to an optical system for forming an image of an object, including an optical axis (1), an image-forming lens (2, 3) which reproduces images of the object and a light source which directs light through the image-forming lens (2, 3) toward the object being observed. The image-forming lens (2, 3) includes a decentration (4) with respect to the optical axis (1) of the optical system such that said decentration (4) generates axial coma across the field of the optical system, which is superimposed with the other characteristic aberrations of the optical system, whereby the magnitude of coma introduced into the system can be adjusted by varying the decentration (4) in the image-forming lens (2, 3).
Description
CODIFICACIÓN DE IMAGEN EN SISTEMAS ÓPTICOS MEDIANTE COMA CODING OF IMAGE IN OPTICAL SYSTEMS THROUGH COMA
CAMPO DE LA INVENCIÓNFIELD OF THE INVENTION
La presente invención se refiere a un sistema óptico para codificar una imagen mediante Ia generación de aberración inherente a dicho sistema óptico.The present invention relates to an optical system for encoding an image by means of the generation of aberration inherent in said optical system.
ANTECEDENTES DE LA INVENCIÓNBACKGROUND OF THE INVENTION
En sistemas ópticos, el coma (comatic aberration o aberración comática) se refiere a Ia aberración inherente a determinados sistemas ópticos debida a algunos defectos de diseño o imperfecciones en las lentes u otros componentes, Io que resulta en fuentes puntuales fuera de eje que pueden aparecer distorsionadas. Las aberraciones en sistemas ópticos conllevan generalmente a una degradación de Ia imagen, ocurriendo cuando Ia luz proveniente de un punto de un objeto no converge hacia (o no diverge desde) un solo punto después de haberse transmitido a través del sistema. Los instrumentistas precisan corregir los sistemas ópticos para compensar estas aberraciones. En concreto, el coma se define como una variación en el aumento sobre Ia pupila de entrada. En sistemas ópticos refractivos o difractivos, especialmente en aquellos que abarcan un amplio intervalo espectral, el coma puede depender de Ia longitud de onda.In optical systems, the comma (comatic aberration or comatic aberration) refers to the aberration inherent to certain optical systems due to some design defects or imperfections in the lenses or other components, which results in pointless off-axis sources that may appear distorted Aberrations in optical systems generally lead to degradation of the image, occurring when the light coming from a point of an object does not converge towards (or does not diverge from) a single point after it has been transmitted through the system. The players need to correct the optical systems to compensate for these aberrations. Specifically, the comma is defined as a variation in the increase on the entrance pupil. In refractive or diffractive optical systems, especially those that cover a wide spectral range, the coma may depend on the wavelength.
El coma es una propiedad inherente de determinados sistemas ópticos que comprenden espejos en los cuales Ia luz de una fuente puntual en el centro del campo se enfoca perfectamente en el punto focal del espejo (no como en los espejos esféricos, donde Ia luz de las partes externas del espejo enfocan más cerca de él que las partes procedentes del centro, hecho conocido como aberración esférica). Sin embargo, cuando Ia fuente de luz no procede del centro del campo (fuera de eje) las diferentes partes del espejo no reflejan Ia luz hacia el mismo punto. Esto da como resultado un punto de luz que no está
centrado, apareciendo en forma de cuña. A más desplazamiento del centro del eje, más notorio es este efecto.The comma is an inherent property of certain optical systems comprising mirrors in which the light of a point source in the center of the field is perfectly focused on the focal point of the mirror (not as in spherical mirrors, where the light of the parts outside the mirror focus closer to it than the parts coming from the center, a fact known as spherical aberration). However, when the light source does not come from the center of the field (off-axis) the different parts of the mirror do not reflect the light towards the same point. This results in a point of light that is not centered, appearing wedge-shaped. The more displacement of the center of the axis, the more noticeable this effect is.
El problema que se plantea es el de diseñar un elemento opto-mecánico que sea capaz de actuar sobre el frente de onda de manera que dicho frente quede codificado para, como se explica a continuación, hacer el sistema insensible a aberraciones intrínsecas o defectos de Ia imagen producidos por desenfoques.The problem that arises is to design an opto-mechanical element that is capable of acting on the wavefront so that said front is coded to, as explained below, make the system insensitive to intrinsic aberrations or defects of the Image produced by blurring.
ATHEY 1995 (DOWSKI 95) combinan para resolver el problema anterior un sistema óptico cuya pupila se ha modificado mediante Ia inserción en Ia misma de láminas de fase para obtener una imagen intermedia (codificada por Ia deformación inducida en el frente de onda), con un post-procesamiento digital de dicha imagen para alcanzar el desarrollo del sistema completo para un amplio rango de distancias objeto. En resumen, Ia respuesta de un sistema óptico es modificada mediante una máscara de fase situada en Ia pupila de salida de tal forma que su PSF (Point Spread Function) permanezca invariable al desenfoque y otras aberraciones mientras que al mismo tiempo Ia OTF (Optical Transfer Function) no posea ceros en su dominio de frecuencias. Esto permite Ia subsiguiente restauración de Ia imagen digital después de que ésta haya sido capturada por el detector. Este procedimiento representa una nueva aproximación en el campo deATHEY 1995 (DOWSKI 95) combine to solve the above problem an optical system whose pupil has been modified by inserting phase sheets therein to obtain an intermediate image (encoded by the induced wavefront deformation), with a digital post-processing of said image to achieve the development of the complete system for a wide range of object distances. In summary, the response of an optical system is modified by a phase mask located in the exit pupil so that its PSF (Point Spread Function) remains invariable to blur and other aberrations while at the same time the OTF (Optical Transfer Function) does not have zeros in its frequency domain. This allows the subsequent restoration of the digital image after it has been captured by the detector. This procedure represents a new approach in the field of
Ia adquisición de imágenes, puesto que el uso de filtros en las pupilas para mejorar Ia calidad de imagen de un sistema óptico tradicionalmente se realizaba mediante "apodization", por ejemplo situando láminas de amplitud que oscurecían parcialmente Ia pupila de salida reduciendo así inevitablemente Ia entrada de luz en el sistema óptico y Ia potencia resultante del instrumento óptico [Mino 1971]. En los años 80, con Ia evolución de los procesadores electrónicos, algunos autores [Cathey 84, Mati 89] propusieron combinar el proceso de formación de imagen con el subsiguiente post-procesamiento digital para mejorar el diseño del sistema óptico, considerando ambos procesos como
uno solo. De esta forma, Ia adquisición de Ia imagen era tratada por sistemas híbridos (opto-electrónicos).The acquisition of images, since the use of filters in the pupils to improve the image quality of an optical system was traditionally carried out by means of "apodization", for example by placing amplitude sheets that partially obscured the exit pupil thus inevitably reducing the input of light in the optical system and the power resulting from the optical instrument [Mino 1971]. In the 80s, with the evolution of electronic processors, some authors [Cathey 84, Mati 89] proposed to combine the image formation process with the subsequent digital post-processing to improve the design of the optical system, considering both processes as only one. In this way, the acquisition of the image was treated by hybrid systems (opto-electronic).
Gracias a esto, incluso los requerimientos más estrictos que tradicionalmente habían sido demandados en sistemas ópticos (calidad de imagen corregida hasta el límite de difracción, control de aberraciones, etc..) podían cumplirse con mayor facilidad [Mait 03], debido a que Ia calidad de imagen no es alcanzada sólo por el sistema óptico sino por el post procesamiento de Ia imagen. De este modo, Ia parte óptica del sistema híbrido puede ser diseñada para tener un rango de enfoque mayor y una gran tolerancia a sus propias aberraciones intrínsecas [Cathey 02]: Ia codificación del frente de onda y el post procesamiento, consiguen que el sistema óptico sea insensible a las aberraciones y al desenfoque. Si el sistema óptico es de alta calidad todo el rango de enfoque se puede utilizar para hacer que el sistema híbrido no varíe ante un posible desenfoque. Así, el sistema de imagen híbrido opto-electrónico requiere un nuevo método para Ia optimización, puesto que el sistema óptico, el muestreado de imágenes intermedias, Ia señal de procesamiento, etc. son considerados conjuntamente. El procedimiento es más complejo a medida que se introducen más parámetros que en un diseño óptico tradicional, aunque posee Ia ventaja de permitir distribuir el rango de enfoque entre los diversos factores.Thanks to this, even the most stringent requirements that had traditionally been demanded in optical systems (corrected image quality up to the diffraction limit, aberration control, etc.) could be fulfilled more easily [Mait 03], because the Ia Image quality is not achieved only by the optical system but by the post-processing of the image. In this way, the optical part of the hybrid system can be designed to have a greater focus range and a great tolerance to its own intrinsic aberrations [Cathey 02]: the wavefront coding and post-processing, achieve that the optical system be insensitive to aberrations and blur. If the optical system is of high quality, the entire focus range can be used to keep the hybrid system from varying before a possible blur. Thus, the opto-electronic hybrid image system requires a new method for optimization, since the optical system, the sampling of intermediate images, the processing signal, etc. They are considered together. The procedure is more complex as more parameters are introduced than in a traditional optical design, although it has the advantage of allowing the range of focus to be distributed among the various factors.
El diseño más utilizado para el codificado de Ia imagen es Ia lámina de fase cúbica.The most used design for coding the image is the cubic phase sheet.
El problema que se plantea en el uso de este tipo de láminas conocidas es que al carecer de simetría de revolución no se pueden fabricar con máquinas de punta de diamante con control en tres ejes. Es necesario por tanto recurrir a control en cinco ejes, siendo este tipo de máquinas muy caro y de uso no extendido.The problem that arises in the use of this type of known sheets is that, lacking revolution symmetry, they cannot be manufactured with diamond-tipped machines with three-axis control. It is therefore necessary to resort to control in five axes, being this type of machines very expensive and not extended.
Por otro lado, al añadir un elemento adicional en el camino óptico se reduce Ia transmisión del sistema óptico, Io cual afecta negativamente a las prestaciones del mismo, especialmente en condiciones de baja iluminación o de bajo contraste del blanco. Más aún, este elemento adicional queda añadido de
forma permanente en el sistema óptico, no pudiendo retirase de forma fácil cuando se crea conveniente.On the other hand, adding an additional element in the optical path reduces the transmission of the optical system, which negatively affects its performance, especially in conditions of low illumination or low white contrast. Moreover, this additional element is added by permanently in the optical system, not being able to withdraw easily when convenient.
La presente invención está orientada a Ia solución de estos inconvenientes.The present invention is oriented to the solution of these inconveniences.
SUMARIO DE LA INVENCIÓNSUMMARY OF THE INVENTION
Así, Ia presente invención propone conseguir Ia codificación deseada del frente de onda en un sistema óptico mediante el descentramiento de los elementos ópticos que componen el citado sistema. Si dicho descentramiento se hace de forma controlada se puede cuantificar cuánto se ha deformado el frente de onda original, pudiendo además corregir de forma electrónica dicho frente de onda a posteriori en Ia imagen.Thus, the present invention proposes to achieve the desired coding of the wavefront in an optical system by decentralizing the optical elements that make up said system. If said runout is done in a controlled manner, it is possible to quantify how much the original wavefront has been deformed, and the wavefront can also be corrected electronically afterwards in the image.
El sistema óptico de Ia invención consigue Ia aberración deseada sin emplear elementos adicionales en el sistema óptico, de tal forma que no se influye en Ia transmisión del citado sistema, al tiempo que el descentramiento de elementos propuesto por Ia invención se puede retirar cuando se crea necesario o conveniente.The optical system of the invention achieves the desired aberration without using additional elements in the optical system, so that the transmission of said system is not influenced, while the offset of elements proposed by the invention can be removed when it is created. necessary or convenient.
Otra de las ventajas del sistema óptico de Ia invención es que puede aplicarse a sistemas ópticos de pequeño tamaño.Another advantage of the optical system of the invention is that it can be applied to small optical systems.
Además, el tipo de máquinas empleado en Ia fabricación de las lentes del sistema óptico según Ia invención es el convencional, con Io que el coste de realización de un sistema óptico según Ia invención no se encarece.In addition, the type of machines used in the manufacture of the lenses of the optical system according to the invention is the conventional one, so that the cost of carrying out an optical system according to the invention does not become more expensive.
Otras características y ventajas de Ia presente invención se desprenderán de Ia descripción detallada que sigue de una realización ilustrativa de su objeto en relación con las figuras que se acompañan.Other features and advantages of the present invention will be apparent from the detailed description that follows of an illustrative embodiment of its object in relation to the accompanying figures.
DESCRIPCIÓN DE LAS FIGURASDESCRIPTION OF THE FIGURES
La Figura 1 muestra el descentramiento de lentes de un sistema óptico según una primera realización de Ia invención.
La Figura 2 muestra el descentramiento de lentes de un sistema óptico según una segunda realización de Ia invención.Figure 1 shows the lens offset of an optical system according to a first embodiment of the invention. Figure 2 shows the lens offset of an optical system according to a second embodiment of the invention.
DESCRIPCIÓN DETALLADA DE LA INVENCIÓNDETAILED DESCRIPTION OF THE INVENTION
La presente invención propone un sistema óptico que forma Ia imagen de un objeto que comprende un eje óptico 1 , un objetivo formador de imagen, preferiblemente formado por unas lentes 2, 3 convencionales, que reproduce las imágenes del citado objeto y una fuente de luz que dirige luz natural o artificial a través de las lentes 2, 3 y hacia el objeto a observar, en el que Ia codificación de Ia imagen del objeto se realiza por medio de un descentramiento 4 de al menos una de las lentes 2, 3, con simetría de revolución con respecto al eje óptico 1 del sistema óptico al que pertenece. Dicho descentramiento 4 genera coma en eje sobre todo el campo del sistema que se superpone con las demás aberraciones propias del mismo. Usando de esta manera elementos convencionales (lentes 2, 3) y descentramientos 4 de los mismos se obtienen dos ventajas: o Ia codificación de fase desarrollada según el procedimiento propuesto para corregir las aberraciones del sistema óptico no precisa de técnicas de fabricación complejas ya que está formada por elementos con simetría de revolución (reemplaza Ia lámina codificadora de los procedimientos convencionales); o no se encarece el sistema óptico pues ya no es necesario introducir elementos adicionales, como en otras soluciones empleadas anteriormente.The present invention proposes an optical system that forms the image of an object comprising an optical axis 1, an image-forming objective, preferably formed by conventional lenses 2, 3, which reproduces the images of said object and a light source that directs natural or artificial light through the lenses 2, 3 and towards the object to be observed, in which the coding of the image of the object is carried out by means of an offset 4 of at least one of the lenses 2, 3, with revolution symmetry with respect to the optical axis 1 of the optical system to which it belongs. Said runout 4 generates an axis comma over the entire field of the system that overlaps with the other aberrations of the system. Using conventional elements (lenses 2, 3) and offsets 4 thereof, two advantages are obtained: o the phase coding developed according to the proposed procedure to correct the aberrations of the optical system does not require complex manufacturing techniques since it is formed by elements with revolution symmetry (replaces the coding sheet of conventional procedures); or the optical system is not expensive because it is no longer necessary to introduce additional elements, as in other solutions previously used.
La propiedad más interesante del sistema óptico de Ia invención es Ia de permitir ajustar Ia magnitud de coma introducida en el sistema variando el desplazamiento o descentramiento 4 entre las lentes 2, 3. Esto permite ajustarThe most interesting property of the optical system of the invention is that of allowing to adjust the magnitude of the comma introduced into the system by varying the displacement or offset 4 between the lenses 2, 3. This allows adjusting
Ia cantidad de coma necesaria para mantener estable Ia MTF (Modulation Transfer Function) o Función de Transferencia de Ia Modulación, que permite
medir la resolución de un sistema óptico en base a Ia capacidad de resolver o diferenciar líneas a una determinada frecuencia espacial.The amount of comma necessary to keep the MTF (Modulation Transfer Function) or Transfer Function of the Modulation stable, which allows measure the resolution of an optical system based on the ability to solve or differentiate lines at a specific spatial frequency.
Para evaluar Ia capacidad del coma para codificar Ia imagen y mantener estable Ia MTF frente a aberraciones, Ia invención propone diseñar, a modo de demostrador tecnológico, un sistema afocal que se puede anteponer a cualquier objetivo formador de imagen bien corregido. El diseño consiste así en una lente plano cóncava 2 más una lente plano convexa 3, siendo los radios 5 de ambas lentes 2, 3 iguales y con las superficies exteriores 6 de ambas lentes planas. El efecto de lámina de fase se consigue con un descentramiento 4 de cada lente 2, 3 respecto al eje óptico 1 en magnitudes iguales y opuestas en vertical, según una primera realización de Ia invención (Figura 1 ).To evaluate the ability of the comma to encode the image and keep the MTF stable against aberrations, the invention proposes to design, as a technological demonstrator, an afocal system that can be put before any well-corrected image-forming objective. The design thus consists of a concave flat lens 2 plus a convex flat lens 3, the radii 5 of both lenses 2, 3 being equal and with the outer surfaces 6 of both flat lenses. The phase sheet effect is achieved with an offset 4 of each lens 2, 3 with respect to the optical axis 1 in equal and opposite magnitudes vertically, according to a first embodiment of the invention (Figure 1).
Según una segunda realización de Ia invención, el efecto de lámina de fase se consigue con un descentramiento en forma de giro 7 de Ia lente plano convexa 3 respecto al eje óptico 1 según un ángulo 8 con respecto a Ia normal del citado eje óptico 1 (Figura 2).According to a second embodiment of the invention, the phase sheet effect is achieved with a rotation-shaped offset 7 of the convex flat lens 3 with respect to the optical axis 1 according to an angle 8 with respect to the normal one of said optical axis 1 ( Figure 2).
Se puede calcular Ia variación de fase introducida por el sistema óptico de Ia invención en función del descentramiento o desplazamiento 4 de cada elemento 2,3. Siendo "R" el radio de curvatura de las lentes 2, 3, "d" el desplazamiento o descentramiento 4 de dichas lentes, considerando que Ia luz va de izquierda a derecha y considerando (X, Y) el sistema de coordenadas con origen en el eje óptico 1 , el espesor a través del primer elemento o lente 2 es:The phase variation introduced by the optical system of the invention can be calculated based on the offset or displacement 4 of each element 2,3. Being "R" the radius of curvature of the lenses 2, 3, "d" the displacement or offset 4 of said lenses, considering that the light goes from left to right and considering (X, Y) the coordinate system originating in The optical axis 1, the thickness through the first element or lens 2 is:
x2 + (y -df_+ (x2 + (y -d)2)2 x 2 + (y -df_ + (x 2 + (y -d) 2 ) 2
2R 8iT2R 8iT
Y de Ia misma forma el espesor del segundo elemento o lente 3 es:And in the same way the thickness of the second element or lens 3 is:
x2 + (y + df (x2 +(y + dff 2R SR3 La diferencia de camino óptico es entonces, siendo n el índice de refracción del material en el que se fabrican las lentes: y
De manera que el cambio de fase en el plano (X, Y), esto es, en Ia pupila es:x 2 + (y + df (x 2 + (y + dff 2R SR 3 The optical path difference is then, where n is the index of refraction of the material in which the lenses are manufactured: y So that the phase change in the plane (X, Y), that is, in the pupil is:
El primer término introduce un desplazamiento lateral de Ia imagen que se puede compensar fácilmente, mientras que el segundo es, específicamente, el término de coma. Así, Ia cantidad de variación de fase introducida depende de "d" y de los valores máximos de x e y, esto es, el tamaño de Ia pupila para valores fijos de n y R.The first term introduces a lateral displacement of the image that can be easily compensated, while the second is, specifically, the comma term. Thus, the amount of phase variation introduced depends on "d" and the maximum values of x and y, that is, the size of the pupil for fixed values of n and R.
Las principales ventajas del sistema óptico de Ia presente invención para Ia codificación de imagen son: o Ia lámina de fase no precisa de técnicas de fabricación complejas ya que está formada por elementos con simetría de revolución; o no se encarece el sistema óptico, puesto que no es necesario introducir elementos adicionales; o Ia magnitud de coma introducida en el sistema es variable y ajustable según las condiciones de trabajo del equipo; o se emplea un rango más amplio en las tolerancias de fabricación, Io que abarata costes en Ia producción; o al mantenerse invariante a desenfoques, el sistema óptico tiene una aplicación clara en Ia óptica de IR, puesto que no haría falta atermalizar el sistema.The main advantages of the optical system of the present invention for image coding are: o the phase sheet does not require complex manufacturing techniques since it is formed by elements with revolution symmetry; or the optical system is not expensive, since it is not necessary to introduce additional elements; or the magnitude of comma introduced into the system is variable and adjustable according to the working conditions of the equipment; or a wider range is used in manufacturing tolerances, which lowers costs in production; or by remaining invariant to blurring, the optical system has a clear application in IR optics, since it would not be necessary to terrify the system.
En un sistema óptico real, las dos lentes 2, 3 son parte de los componentes propios del sistema óptico a las que se añade un movimiento, como los que se describen el Ia óptica sencilla descrita en los puntos anteriores. La elección de las lentes 2, 3 dependerá de cada sistema óptico específico y de las condiciones que se apliquen en el proceso de diseño.In a real optical system, the two lenses 2, 3 are part of the components of the optical system to which a movement is added, such as those described in the simple optical described in the previous points. The choice of lenses 2, 3 will depend on each specific optical system and the conditions that are applied in the design process.
En las realizaciones preferentes de Ia invención que acabamos de describir pueden introducirse aquellas modificaciones comprendidas dentro del alcance definido por las reivindicaciones siguientes.
In the preferred embodiments of the invention described above, those modifications within the scope defined by the following claims can be introduced.
Claims
1. Sistema óptico para Ia formación de Ia imagen de un objeto que comprende un eje óptico (1 ), un objetivo formador de imagen (2, 3) que reproduce las imágenes del citado objeto y una fuente de luz que dirige luz a través del objetivo formador de imagen (2, 3) y hacia el objeto a observar caracterizado porque el objetivo formador de imagen (2, 3) comprende un descentramiento (4) con respecto al eje óptico (1 ) del sistema óptico de tal forma que dicho descentramiento (4) genera coma en eje sobre el campo del sistema óptico que se superpone con las demás aberraciones propias del citado sistema óptico, pudiéndose ajustar Ia magnitud de coma introducida en el sistema óptico vanándose el descentramiento (4) en el objetivo formador de imagen (2, 3).1. Optical system for the formation of the image of an object comprising an optical axis (1), an image-forming objective (2, 3) that reproduces the images of said object and a light source that directs light through the image-forming objective (2, 3) and towards the object to be observed characterized in that the image-forming objective (2, 3) comprises an offset (4) with respect to the optical axis (1) of the optical system such that said offset (4) generates a comma in axis on the field of the optical system that overlaps with the other aberrations of the aforementioned optical system, being able to adjust the magnitude of the comma introduced into the optical system leaving the runout (4) in the image-forming objective ( 2. 3).
2. Sistema óptico para Ia formación de Ia imagen de un objeto según Ia reivindicación 1 caracterizado porque el objetivo formador de imagen comprende dos lentes (2, 3) con simetría de revolución con respecto al eje óptico (1 ).2. Optical system for the formation of the image of an object according to claim 1 characterized in that the image-forming objective comprises two lenses (2, 3) with revolution symmetry with respect to the optical axis (1).
3. Sistema óptico para Ia formación de Ia imagen de un objeto según Ia reivindicación 2 caracterizado porque una de las lentes (2) es una lente plano cóncava con un radio (5) y una superficie exterior (6) plana, siendo3. Optical system for the formation of the image of an object according to claim 2 characterized in that one of the lenses (2) is a concave flat lens with a radius (5) and a flat outer surface (6), being
Ia otra lente (3) una lente plano convexa con un radio (5) y una superficie exterior (6) plana.The other lens (3) a flat convex lens with a radius (5) and a flat outer surface (6).
4. Sistema óptico para Ia formación de Ia imagen de un objeto según Ia reivindicación 3 caracterizado porque los radios (5) de Ia lente plano cóncava (2) y de Ia lente plano convexa (3) son iguales.4. Optical system for the formation of the image of an object according to claim 3 characterized in that the radii (5) of the concave flat lens (2) and the convex flat lens (3) are equal.
5. Sistema óptico para Ia formación de Ia imagen de un objeto según cualquiera de las reivindicaciones anteriores caracterizado porque el descentramiento (4) del objetivo formador de imagen (2, 3) se consigue desplazando en magnitudes iguales y opuestas en Ia vertical respecto al eje óptico (1 ) los componentes del objetivo formador de imagen (2, 3). Sistema óptico para Ia formación de Ia imagen de un objeto según cualquiera de las reivindicaciones 1 a 4 caracterizado porque el descentramiento (4) del objetivo formador de imagen (2, 3) se consigue mediante un descentramiento en forma de giro (7) respecto al eje óptico (1 ) de uno de los componentes del objetivo formador de imagen (2, 3) según un ángulo (8) con respecto a Ia normal del citado eje óptico (1 ). 5. Optical system for the formation of the image of an object according to any of the preceding claims characterized in that the offset (4) of the image-forming objective (2, 3) is achieved by moving in equal and opposite magnitudes vertically with respect to the axis optical (1) the components of the image forming lens (2, 3). Optical system for the formation of the image of an object according to any of claims 1 to 4, characterized in that the offset (4) of the image-forming objective (2, 3) is achieved by a rotation-shaped offset (7) with respect to the optical axis (1) of one of the components of the image forming objective (2, 3) according to an angle (8) with respect to the normal one of said optical axis (1).
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Citations (3)
Publication number | Priority date | Publication date | Assignee | Title |
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US20030127584A1 (en) * | 1995-02-03 | 2003-07-10 | Dowski Edward Raymond | Wavefront coding zoom lens imaging systems |
US20030169944A1 (en) * | 2002-02-27 | 2003-09-11 | Dowski Edward Raymond | Optimized image processing for wavefront coded imaging systems |
WO2007037691A2 (en) * | 2005-07-01 | 2007-04-05 | Michiel Christiaan Rombach | Variable lenses for optical digital modules |
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2007
- 2007-09-17 WO PCT/ES2007/070161 patent/WO2009037367A1/en active Application Filing
Patent Citations (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US20030127584A1 (en) * | 1995-02-03 | 2003-07-10 | Dowski Edward Raymond | Wavefront coding zoom lens imaging systems |
US20030169944A1 (en) * | 2002-02-27 | 2003-09-11 | Dowski Edward Raymond | Optimized image processing for wavefront coded imaging systems |
WO2007037691A2 (en) * | 2005-07-01 | 2007-04-05 | Michiel Christiaan Rombach | Variable lenses for optical digital modules |
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