Optical Components - optical components
Malfunction or damage resulting from connecting the product to lighting equipment or a controller made by another company
The magnification equation relates the ratio of the image distance and object distance to the ratio of the image height (hi) and object height (ho). The magnification equation is stated as follows:
2. Determine the image distance and image height for a 5-cm tall object placed 30.0 cm from a double convex lens having a focal length of 15.0 cm.
Evolved high-intensity transmission illumination. A chip-type transmissive lighting solution that delivers high output at an affordable price in a lightweight package.
When light is modulated with the volume down, the current flowing through the LED is lowered, and heat generation is suppressed.Setting the camera aperture as large as possible when selecting lighting, will allow you to select a lighting unit with more than adequate brightness.When using lighting continuously, it is recommended that light modulation volume is set to around 50%. (Even if luminance is reduced due to degradation, the volume can be increased to return to normal luminance.)
The magnification of an image is both the hi / ho ratio and the -di / do ratio. Setting the -di / do ratio equal to -2 allows one to determine the image distance:
These two equations can be combined to yield information about the image distance and image height if the object distance, object height, and focal length are known.
RoHS lightbulb app
※The above tables depict a typical example only and may not be applicable depending on work characteristics (reflection, transmission, and absorption), and camera and lens (optical system).
The negative values for image height indicate that the image is an inverted image. As is often the case in physics, a negative or positive sign in front of the numerical value for a physical quantity represents information about direction. In the case of the image height, a negative value always indicates an inverted image.
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The numerical values in the solution above were rounded when written down, yet unrounded numbers were used in all calculations. The final answer is rounded to the third significant digit.
Whereas ordinary lighting is designed to make things brighter, in the field of image processing, lighting plays the key role of emphasizing only the areas of a subject that are of interest and capturing optimal images. Light bulb The color relationship between wavelength (lighting color) and objects, taking into account the relationships of typical complementary colors, is shown in the tables below.
1. Determine the image distance and image height for a 5-cm tall object placed 45.0 cm from a double convex lens having a focal length of 15.0 cm.
As a demonstration of the effectiveness of the lens equation and magnification equation, consider the following sample problem and its solution.
From the calculations in the second sample problem it can be concluded that if a 4.00-cm tall object is placed 8.30 cm from a double convex lens having a focal length of 15.2 cm, then the image will be enlarged, upright, 8.81-cm tall and located 18.3 cm from the lens on the object's side. The results of this calculation agree with the principles discussed earlier in this lesson. In this case, the object is located in front of the focal point (i.e., the object distance is less than the focal length) and the image is located behind the lens. This falls into the category of Case 5: The object is located in front of F (for a converging lens).
The numerical values in the solution above were rounded when written down, yet unrounded numbers were used in all calculations. The final answer is rounded to the third significant digit.
As a restriction on the use of chemical substances related to the supply of environmentally friendly products, the revised RoHS Directive(2011/65/EU), which originally restricted the use of 6 hazardous substances such as lead, has been expanded to restrict 10 substances by adding 4 phthalates stipulated in Addendum (EU)2015/863. (The LED lighting, controllers, etc., of our company, Leimac, are compliant as of July 22, 2021 as they are categorized as monitoring and control equipment.)
Lighting Equipment handles switching well.Using the ability of Leimac light control controllers to turn lighting on and off via an external signal, it is possible to extend LED life by only turning them on when required. (Not all controllers come equipped with this function.)
LEDs tend to decrease in luminance and undergo accelerated element deterioration due to heat (heat generated by the LED itself). While the typical half-brightness value of an LED element is said to be around about 30,000 hours, an LED element used continuously under high temperatures may degrade in a shorter time and decrease in luminance.
Due to its very nature, an LED will not completely cease lighting up, unlike an incandescent lamp which will no longer light up once the filament wears out.However, over time the LED’s light transmission rate will decrease and its light flux will degrade due to the degradation of the LED chip and the resin that seals the chip. Accordingly, the life of an LED is defined as the time it takes for LED luminance to decrease to 50% of initial luminance at an ambient temperature of 25°C; not the time it takes until the LED no longer lights up.
Secondary disasters (damage to equipment, lost opportunity, lost profit, and similar) incurred by the customer as a result of the malfunction of or damage to an Leimac product and any damages whatsoever shall not be subject to compensation.
In order to implement and continue this environmental policy, we engage in making all employees, suppliers and contractors aware of the policy. Moreover, we make it public and raise their awareness of environment.
This definition of LED life also applies to LED lights with LED elements mounted.The LED life time of required brightness is different depends on the customers from what percent of brightness is required compared to the initial. It may be said that it is the “past life”when it is 20% down from the initial brightness for those who think present brightness is just enough.
4. Determine the image distance and image height for a 5-cm tall object placed 10.0 cm from a double convex lens having a focal length of 15.0 cm.
(This table is made based on the provision of SJ / T 11364.)○:The content of harmful substance of material of correspond parts does not exceed the limit of demand specified by the GB/T26572-2011 standard.×::The content of harmful substance of material of correspond parts exceeds the limit of demand specified by the GB/T26572-2011 standard.
This product warranty promises the aforementioned warranty details under the clearly indicated warranty period and conditions. Accordingly, it does not undertake any other guarantees, whether express or implied.
Any product bearing the UKCA Mark conforms to the technical requirements that must be met (mandatory requirements) and the conformity assessment process and standards criteria that can be used to demonstrate conformity.
Uniform illumination of objects with glossy/irregular surfaces. It is an indirect lighting that implement the LED around the ring-shaped light guide plate.
To determine the image height, the magnification equation is needed. Since three of the four quantities in the equation (disregarding the M) are known, the fourth quantity can be calculated. The solution is shown below.
The negative value for image distance indicates that the image is a virtual image located on the object's side of the lens. Again, a negative or positive sign in front of the numerical value for a physical quantity represents information about direction. In the case of the image distance, a negative value always means the image is located on the object's side of the lens. Note also that the image height is a positive value, meaning an upright image. Any image that is upright and located on the object's side of the lens is considered to be a virtual image.
The numerical values in the solution above were rounded when written down, yet unrounded numbers were used in all calculations. The final answer is rounded to the third significant digit.
(This table is made based on the provision of SJ / T 11364.)○:The content of harmful substance of material of correspond parts does not exceed the limit of demand specified by the GB/T26572-2011 standard.×:The content of harmful substance of material of correspond parts exceeds the limit of demand specified by the GB/T26572-2011 standard.
10. The focal point is located 20.0 cm from a double concave lens. An object is placed 12 cm from the lens. Determine the image distance.
When used in accordance with the instruction manual under usage conditions specified by Leimac, in the event of a product malfunction within the warranty period, Leimac shall repair the product free of charge or provide a replacement product.
The negative values for image distance indicate that the image is located on the object's side of the lens. As mentioned, a negative or positive sign in front of the numerical value for a physical quantity represents information about direction. In the case of the image distance, a negative value always indicates the existence of a virtual image located on the object's side of the lens. In the case of the image height, a positive value indicates an upright image.
※The scattering ratio is inversely proportional to the 4th power of wavelength.※Described wavelength is for reference only. There are some LEDs which does not fit in the above cases.
Most of our products have met the threshold of the original 6 hazardous substances in the revised RoHS Directive from April 2007, and have begun to meet the 10-substance threshold, which includes the 4 additional substances, as of July 2021(exemptions apply) for most standard products listed in the catalog.For the revised RoHS directive compliance status of each product, please confirm the RoHS2 marking in the standards section on the individual product page on our website or contact one of our sales representatives.
RohsLEDLight12v
8. Determine the focal length of a double concave lens that produces an image that is 16.0 cm behind the lens when the object is 28.5 cm from the lens.
Although we have Lighting Equipment controllers that meet the US safety standard, we do not plan on acquiring the certification as it is not mandatory.
In the event that an Leimac product malfunctions during the period stipulated above or in the event that the illumination output of lighting equipment decreases to 50%, Leimac shall repair the product free of charge or provide a replacement product as stipulated under Scope of Warranty. Consult Leimac and present the product in question.*Warranty period for time to half-illumination-output shall be one year from factory shipment.
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It is recommended to install Lighting Equipment units in a structure or environment with good heat-dissipative capabilities, for example by taking steps to ensure adequate cooling.
9. A 2.8-cm diameter coin is placed a distance of 25.0 cm from a double concave lens that has a focal length of -12.0 cm. Determine the image distance and the diameter of the image.
Lighting Equipment is included in the scope of application for the IEC 62471 standard, “Standard Regarding Photobiological Safety of Lamps and Lamp Systems”, (Published by the International Electrotechnical Commission in 2006). Photobiological risk can be divided into the following risk groups based on the degree of photobiological damage caused.
Products with the PSE mark conform to the technical standards specified by paragraph (1) of the Ministerial Ordinance of Specified Electrical Appliances (DC Controller Units)
From the calculations in this problem it can be concluded that if a 4.00-cm tall object is placed 35.5 cm from a diverging lens having a focal length of 12.2 cm, then the image will be upright, 1.02-cm tall and located 9.08 cm from the lens on the object's side. The results of this calculation agree with the principles discussed earlier in this lesson. Diverging lenses always produce images that are upright, virtual, reduced in size, and located on the object's side of the lens.
To determine the image height, the magnification equation is needed. Since three of the four quantities in the equation (disregarding the M) are known, the fourth quantity can be calculated. The solution is shown below.
To determine the image distance, the lens equation will have to be used. The following lines represent the solution to the image distance; substitutions and algebraic steps are shown.
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If the product is to be distributed to regions where the U.S. Toxic Substances Control Act (TSCA) is applicable before the switch, please refer to the Notification PDF and take note of our notice to downstream suppliers “Regulation Section §751.407, PIP(3:1)(e)”. Please contact our sales department individually for the switching status of our products.
6. ZINGER: An inverted image is magnified by 2 when the object is placed 22 cm in front of a double convex lens. Determine the image distance and the focal length of the lens.
Green (555nm) is good most sensitive, the human eyes are opposite the green in applications such as visual inspection.However, in the image processing, even lighting that looks bright visually, can be dark in the image of the camera. You also need to consider the compatibility of the illumination wavelength and peak sensitivity characteristics with the individual camera.The image is brighter when illumination wavelength and peak sensitivity of the camera are close.
(This table is made based on the provision of SJ / T 11364.)○:The content of harmful substance of material of correspond parts does not exceed the limit of demand specified by the GB/T26572-2011 standard.×::The content of harmful substance of material of correspond parts exceeds the limit of demand specified by the GB/T26572-2011 standard.
Rohs LightBulb
“After January 6, 2025, all persons are prohibited from the processing and distributing in commerce of PIP (3:1) for use in adhesives and sealants, PIP (3:1)-containing products for use in adhesives and sealants, and PIP (3:1)-containing adhesives and sealants” cited from § 751.407 PIP (3:1)a.2.i.
The UKCA (UK Conformity Assessed) Mark is a certification mark of conformity with safety standards applicable to goods placed on the market in the island of Great Britain (England, Wales and Scotland).
We contribute to the society as a research and development company, and construct an environment management system based on the policy below.
Like many mathematical problems in physics, the skill is only acquired through much personal practice. Perhaps you would like to take some time to try the following problems.
To determine the image height, the magnification equation is needed. Since three of the four quantities in the equation (disregarding the M) are known, the fourth quantity can be calculated. The solution is shown below.
Our measures against products containing substances subject to the U.S. Toxic Substance Control Act (TSCA) is as follows.
RoHSLED strip lights
*The above values are typical values and do not apply to all products. Read the instruction manual carefully before use.
Illumination is inversely proportional to the square of the distance, so moving the lighting unit close significantly increases light intensity. (We also design lighting solutions to suit various applications.)
ILP series・IDMU series・IPPA series・IRPA series・ILC series・ILC-24 series・IRC series・IRC-24 series・ILV series・ILS series・IPSA series
7. A double concave lens has a focal length of -10.8 cm. An object is placed 32.7 cm from the lens's surface. Determine the image distance.
We propose appropriate lighting without making a prototype through simple optical simulation.· Custom / New development· 3D design lighting etc.Customized correspondence can be done from one unit.
Ideal for objects with mirrored surfaces. It is the lighting that can be irradiated with same axis as the camera by using a half mirror.
To determine the image distance, the lens equation will have to be used. The following lines represent the solution to the image distance; substitutions and algebraic steps are shown.
Used in everything from oblique to back lighting application. It is a direct-type surface-emitting lighting that implements a high density on a plane bullet-type LED elements.
Do not use Lighting Equipment in high-temperature environments as doing so will speed up the rate at which luminance decreases and elements degrade.
From the calculations in this problem it can be concluded that if a 4.00-cm tall object is placed 45.7 cm from a double convex lens having a focal length of 15.2 cm, then the image will be inverted, 1.99-cm tall and located 22.8 cm from the lens. The results of this calculation agree with the principles discussed earlier in this lesson. In this case, the object is located beyond the 2F point (which would be two focal lengths from the lens) and the image is located between the 2F point and the focal point. This falls into the category of Case 1: The object is located beyond 2F for a converging lens.
For the customers satisfied with 50% luminance of the light capacity in the initial stage, luminance decreased to 50% of the initial value may be considered to be still usable since required luminance can be maintained by increasing controller as the luminance decreases.Accordingly, we cannot uniformly define the life of light.
We have judged that our Lighting Equipment and extension cables are not covered by US safety standard, the Safety Requirements for Electrical Equipment for Measurement, Control, and Laboratory Use-UL61010-1, 6.3.1 a, due to their use of voltage under DC 48V.
IMAC products are primarily designed for use with image processing and industrial inspection applications. This warranty shall not apply to use under circumstances like those outlined below:
In some of our products, we have confirmed the use of controllers equipped with film capacitors with sealing resins containing PIP (3:1). Depending on the manufacturer and the model, the corresponding time to enact the change is scheduled from October 2021 to January 2023. Therefore, we plan to complete supporting all models by January 2024 while switching production sequentially based on product arrival and our company’s in-house inventory. Furthermore, there are no changes in our product models, specifications, safety standards, etc., from changes in film capacitors due to differences in sealing resins.
Rohs LightLED
Use in applications that may result in personal injury (nuclear power controls, railways, aviation, safety equipment) and particularly in applications that require reliability
5. A magnified, inverted image is located a distance of 32.0 cm from a double convex lens with a focal length of 12.0 cm. Determine the object distance and tell whether the image is real or virtual.
Chinese version RoHS Directive means “Measures for the Administration of the Restricted Use of the Hazardous Substances Contained in Electrical and Electronic Products”, implemented in China on May 1st of 2007. As well as RoHS Directive implemented in Europe, Chinese version RoHS Directive restricts the following 6 substances: lead, mercury, cadmium, hexavalent chromium, polybrominated biphenyls (PBB), and polybrominated diphenyl ethers (PBDE). The directive obligates manufacturers and traders in China to show content information of the 6 substances in electronic information products. Content information of our products differs depending on products. Please check hazardous substance usage restriction marks in each page about products.
Malfunction or damage resulting from the occurrence of fire, pollution, riot, or a similar phenomenon or from external causes such as earthquake, lightning, flood, or other natural disasters or from use in a unique environment (abnormal voltage, high humidity, and the like).
To determine the image distance, the lens equation must be used. The following lines represent the solution to the image distance; substitutions and algebraic steps are shown.
3. Determine the image distance and image height for a 5-cm tall object placed 20.0 cm from a double convex lens having a focal length of 15.0 cm.