For instance, the imaging lens, camera sensor, image capture boards, and video cables each have their associated MTF. By analyzing the system MTF curve, designers can determine which combination of components will provide sufficient performance for a given application, considering factors like contrast requirements and resolution.

MTF is a powerful tool to quantify the overall imaging performance of a system in terms of resolution and contrast. Understanding the MTF curves of each imaging lens and camera sensor within a system allows designers to make informed choices when optimizing for specific resolutions.

Mtf functionin optical

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In conclusion, the Modulation Transfer Function is a pivotal parameter for evaluating and optimizing optical systems. By understanding resolution, contrast, and how MTF combines these factors, optical designers can make informed decisions to select the right components and achieve superior image quality for their applications. MTF data serves as a powerful tool in the hands of those seeking precision and excellence in optical system design.

In traditional system integration, the resolution is often estimated based on the principle of the weakest link, assuming that the system’s resolution is solely limited by the component with the lowest resolution. However, this approach is flawed as every component within the system contributes to image quality, and the overall MTF of the system is the product of all the MTF curves of its components.

High-quality optics excel in transferring contrast at higher spatial frequencies, which translates to higher resolution. To assess this ability, MTF comes into play. MTF quantifies a lens’s capacity to transfer the contrast of a sample to an image using spatial frequency (resolution). Spatial frequency is defined as the number of line pairs per millimeter (lp/mm). Typically, MTF is determined using test charts featuring alternating black and white lines.

Modulation transferfunctionin Ophthalmology

$18M deal comprised a combination of $12M cash and five-year loan notes. ORLANDO, FL--(Marketwired - Dec 21, 2016) - LightPath Technologies, Inc. ( NASDAQ : LPTH ) ("LightPath," the "Company," or "we"), a leading vertically integrated global manufacturer, distributor, and integrator of proprietary optical and infrared components and high-level assemblies, today announced that it has completed the acquisition of ISP Optics Corporation ("ISP") for a purchase price of $18 million, subject to post-closing adjustments, of which $12 million was paid in cash with the balance in the form of five-year subordinated notes issued to the sellers. LightPath also announced today that simultaneous with the closing of the acquisition it has completed the previously announced underwritten public offering of 8,000,000 shares of its Class A common stock, which includes the full exercise by the underwriters of their option to purchase 1,000,000 shares of Class A common stock to cover over-allotments, at a public offering price of $1.21 per share. Members of LightPath's Board of Directors and executive management team purchased shares in the offering. Net proceeds from the sale of the Class A common stock after deducting underwriting discounts and expenses were approximately $8.85 million. The Company used the net proceeds from the offering for a portion of the purchase price of the acquisition of ISP payable in cash as well as to pay transaction expenses and other costs in connection with the acquisition. The balance of the cash portion of the purchase price was funded by a $5 million acquisition loan from Avidbank, which also closed today, that is payable on an interest-only basis for six months and thereafter amortized over 54 months. Commenting on today's completed transactions, Jim Gaynor, President and Chief Executive Officer of LightPath, said, "We are excited to have consummated the acquisition of ISP Optics Corporation as planned and welcome ISP employees to the expanding global LightPath team. This transformative acquisition was made possible through a fully subscribed underwritten public offering of common stock. The offering successfully attracted to the Company numerous high quality institutional investors, in addition to personal investments from members of our executive management team and Board of Directors. The combination of LightPath and ISP positions us for continued growth with greater scale and scope to offer a comprehensive platform of visible and infrared solutions." Roth Capital Partners acted as sole book-running manager and Dougherty & Company acted as co-manager for the offering. Roth Capital Partners also served as an advisor to LightPath in connection with the ISP acquisition, rendering a fairness opinion to the Board of Directors. BakerHostetler acted as legal advisor to LightPath. ZAG-S&W acted as legal advisor to Roth Capital Partners. KippsDeSanto & Co. acted as financial advisor and Blank Rome LLP acted as legal advisor to ISP in connection with the transaction. Source: LightPath TechnologiesContactvia web siteE-mail: via web siteWeb Site: www.lightpath.com

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Commenting on today's completed transactions, Jim Gaynor, President and Chief Executive Officer of LightPath, said, "We are excited to have consummated the acquisition of ISP Optics Corporation as planned and welcome ISP employees to the expanding global LightPath team. This transformative acquisition was made possible through a fully subscribed underwritten public offering of common stock. The offering successfully attracted to the Company numerous high quality institutional investors, in addition to personal investments from members of our executive management team and Board of Directors. The combination of LightPath and ISP positions us for continued growth with greater scale and scope to offer a comprehensive platform of visible and infrared solutions."

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Roth Capital Partners acted as sole book-running manager and Dougherty & Company acted as co-manager for the offering. Roth Capital Partners also served as an advisor to LightPath in connection with the ISP acquisition, rendering a fairness opinion to the Board of Directors. BakerHostetler acted as legal advisor to LightPath. ZAG-S&W acted as legal advisor to Roth Capital Partners. KippsDeSanto & Co. acted as financial advisor and Blank Rome LLP acted as legal advisor to ISP in connection with the transaction.

ORLANDO, FL--(Marketwired - Dec 21, 2016) - LightPath Technologies, Inc. ( NASDAQ : LPTH ) ("LightPath," the "Company," or "we"), a leading vertically integrated global manufacturer, distributor, and integrator of proprietary optical and infrared components and high-level assemblies, today announced that it has completed the acquisition of ISP Optics Corporation ("ISP") for a purchase price of $18 million, subject to post-closing adjustments, of which $12 million was paid in cash with the balance in the form of five-year subordinated notes issued to the sellers.

Modulation transferfunctionimage processing

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The Modulation Transfer Function (MTF) is a vital parameter used to assess the performance of optical systems, ranging from simple lenses to complex imaging lens assemblies. It serves as a standardized quantitative measure for optical designers and microscopists to evaluate and compare lenses for various applications such as DNA sequencers, cell analyzers, slide scanners, and industrial inspection equipment. In this article, we will delve into the details of MTF, exploring its components, significance, and applications.

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Modulation transferfunctionRadiology

LightPath also announced today that simultaneous with the closing of the acquisition it has completed the previously announced underwritten public offering of 8,000,000 shares of its Class A common stock, which includes the full exercise by the underwriters of their option to purchase 1,000,000 shares of Class A common stock to cover over-allotments, at a public offering price of $1.21 per share. Members of LightPath's Board of Directors and executive management team purchased shares in the offering. Net proceeds from the sale of the Class A common stock after deducting underwriting discounts and expenses were approximately $8.85 million.

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Resolution and contrast are fundamental factors in achieving sharp and clear images. Resolution pertains to an imaging system’s ability to distinguish fine object details and is typically expressed in line-pairs per millimeter (lp/mm), where each line-pair consists of a black line followed by a white line. Contrast, on the other hand, measures an optical system’s ability to distinguish between light and dark areas in an image.

The Company used the net proceeds from the offering for a portion of the purchase price of the acquisition of ISP payable in cash as well as to pay transaction expenses and other costs in connection with the acquisition. The balance of the cash portion of the purchase price was funded by a $5 million acquisition loan from Avidbank, which also closed today, that is payable on an interest-only basis for six months and thereafter amortized over 54 months.

MTF, as its name suggests, measures a lens’s capability to transfer contrast at specific resolutions from the object to the image. It combines both resolution and contrast into a single specification. As the line spacing decreases (frequency increases) on the test target, it becomes progressively challenging for the lens to efficiently transfer this decrease in contrast, resulting in a decrease in MTF.

Date Announced: 21 Dec 2016$18M deal comprised a combination of $12M cash and five-year loan notes. ORLANDO, FL--(Marketwired - Dec 21, 2016) - LightPath Technologies, Inc. ( NASDAQ : LPTH ) ("LightPath," the "Company," or "we"), a leading vertically integrated global manufacturer, distributor, and integrator of proprietary optical and infrared components and high-level assemblies, today announced that it has completed the acquisition of ISP Optics Corporation ("ISP") for a purchase price of $18 million, subject to post-closing adjustments, of which $12 million was paid in cash with the balance in the form of five-year subordinated notes issued to the sellers. LightPath also announced today that simultaneous with the closing of the acquisition it has completed the previously announced underwritten public offering of 8,000,000 shares of its Class A common stock, which includes the full exercise by the underwriters of their option to purchase 1,000,000 shares of Class A common stock to cover over-allotments, at a public offering price of $1.21 per share. Members of LightPath's Board of Directors and executive management team purchased shares in the offering. Net proceeds from the sale of the Class A common stock after deducting underwriting discounts and expenses were approximately $8.85 million. The Company used the net proceeds from the offering for a portion of the purchase price of the acquisition of ISP payable in cash as well as to pay transaction expenses and other costs in connection with the acquisition. The balance of the cash portion of the purchase price was funded by a $5 million acquisition loan from Avidbank, which also closed today, that is payable on an interest-only basis for six months and thereafter amortized over 54 months. Commenting on today's completed transactions, Jim Gaynor, President and Chief Executive Officer of LightPath, said, "We are excited to have consummated the acquisition of ISP Optics Corporation as planned and welcome ISP employees to the expanding global LightPath team. This transformative acquisition was made possible through a fully subscribed underwritten public offering of common stock. The offering successfully attracted to the Company numerous high quality institutional investors, in addition to personal investments from members of our executive management team and Board of Directors. The combination of LightPath and ISP positions us for continued growth with greater scale and scope to offer a comprehensive platform of visible and infrared solutions." Roth Capital Partners acted as sole book-running manager and Dougherty & Company acted as co-manager for the offering. Roth Capital Partners also served as an advisor to LightPath in connection with the ISP acquisition, rendering a fairness opinion to the Board of Directors. BakerHostetler acted as legal advisor to LightPath. ZAG-S&W acted as legal advisor to Roth Capital Partners. KippsDeSanto & Co. acted as financial advisor and Blank Rome LLP acted as legal advisor to ISP in connection with the transaction. Source: LightPath TechnologiesContactvia web siteE-mail: via web siteWeb Site: www.lightpath.com

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