Color Correction In Optical Systems Or Why Optical Design .

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Color correction in optical systemsor why optical design needs fluoro-phosphate glassesDr. Ralf Jedamzik, Application Manager, SCHOTT Advanced OpticsColor correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG

SCHOTT Advanced OpticsColor correction in optical systemsOptical glasses are mainly categorized accordingto their refractive index and Abbe numberColor correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG2

Color correction in optical systemsSCHOTT Advanced Optics3The refractive index n is a measure for the deflectionof light in transition to a different mediumair n1 The world ofoptical glassglassn2 n 1.487n 2.02Color correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AGsin( ) n2 sin( ) n1

Color correction in optical systemsSCHOTT Advanced Optics4The Abbe number is a measure for the change ofrefractive index with the wavelength (dispersion)Refractive index1.53nF nCnd1.511.490.30.40.5The higher the Abbe number the lower the dispersionColor correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG0.60.70.8wavelength in µmnd 1 d nF nC

Color correction in optical systemsSCHOTT Advanced OpticsRefraction of different glasses as seen with a prismFlint glasses:high refractive index high dispersionCrown glasses:low refractive index low dispersionN-FK58 XLDColor correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG5

SCHOTT Advanced OpticsColor correction in optical systemsChromatic aberration: color fringes in high resolutionlens systems (example tele zoom lens)Chromatic aberration show stopper forhigh resolution opticsColor correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG6

SCHOTT Advanced OpticsColor correction in optical systems7Chromatic aberration of a single lens:„blue refraction ( B) is stronger than red refraction (GR‒Color correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AGBR)“

Color correction in optical systemsSCHOTT Advanced Optics8The size of the chromatic aberration of a single lens isthe quotient of the focal length and the Abbe number 1 D 1 The longitudinal chromatic aberration error is proportional to the focal lengthand decreases with increasing Abbe number.Large Abbe number low chromatic aberration!Color correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG

Color correction in optical systemsSCHOTT Advanced Optics9Correction of chromatic aberration with two lenses:The achromatclassical: FraunhoferBK7 and F2crown glassflint glasswhite lightachromatachromat imageFocal length of two lenses with short distance:Achromatic condition ( Abbe numberR Abbe number is always 0,B):1or2 0Color correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG11 1 11 0

SCHOTT Advanced OpticsColor correction in optical systems10Achromat: large Abbe number difference betweencrown and flint glass needed!Positive lens: crown glassNegative lens: flint glassLarge focal length of single lenses less lens bending lessmonochromatic image aberrations46.155057.1433.33f (flint)0‒ 22.22‒ 50.00-50‒ 85.71-100‒133.33-150‒ 200.00-20010203040Abbe # Difference crown-flintColor correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG66.67f (crown)18.18Focal length, crown, flintAt fixed focal length of the system(example 100 mm), the focal lengthof each single lens is larger if theAbbe number differenceis large.10050

Color correction in optical systemsSCHOTT Advanced Optics11The achromat is corrected for two wavelengths:but an error remains, the secondary spectrum!Color error diagram AchromatExample:Achromat with 100 mmfocal length (SCHOTT N-BK7 , F2)has an color error of 0.5 mmN-BK7 The single SCHOTTa color error of 15.8 mm 2Secondaryspectrume.g. VISlens has 1 Color correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AGSingle lensPos.

SCHOTT Advanced OpticsColor correction in optical systemsThe reason for the secondary spectrum is the differentbending of the dispersion curves of „crown“ and „flint“ glassesThe secondary spectrumis small if the bending ofthe dispersion curve ofthe „crown“ and „flint“glass is the same:glasses with anomalouspartial dispersionCalculated from datasheet Sellmeier coefficients.Color correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG12

Color correction in optical systemsSCHOTT Advanced Optics13The partial dispersion is a measure for the bendingof the dispersion curvePrinciple dispersionnF nCSF66N-SF66DispersionAngle of Incidence 65 degr-LineC-Lined-Linee-LinePartial dispersionng nFRelative partial dispersionPg , F ng nFnF nCColor correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AGF-Lineg-LineRelative Deflection of Rays in 1 m Distance [mm]

Color correction in optical systemsSCHOTT Advanced OpticsIn the diagram relative partial dispersion versus Abbe number,many glasses are located on a line called „normal line“The line is given bythe glasses K7 andF2 (be careful, otherglass vendors havedifferent definitions) Pg , F ng nFnF nC (0,6438 0,001682 d )Color correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AGNormal lineAbbe number d14

SCHOTT Advanced OpticsColor correction in optical systemsThe slope of the normal line is directly proportionalto the secondary color error!An achromat built with two glasses onlyon the normal line has alwaysthe same secondary color error.The longer the focal length of thelens the more critical the color error!Glasses with anomalous partialdispersion are located away fromthe normal line!Color correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG15

SCHOTT Advanced OpticsColor correction in optical systemsThe smaller the slope of the two partners in the PgF diagram,the smaller the secondary spectrum and the better the colorcorrection! Without PK/FK glasses no color correction possible!PK / FK glasses and short flint glasses(KZFS glasses) have a verypronounced anomalous partialdispersionLow slopes are possible withthis combinationColor correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG16

SCHOTT Advanced OpticsColor correction in optical systems17Ideal: position of CaF2, but expensive and sensitive processing. Alternative: Fluoro-phosphate glasses on CaF2 positionCaF2Color correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG

SCHOTT Advanced OpticsColor correction in optical systemsOn the way to CaF2! Extremely low dispersion glasses (XLD)Target: better processability!XLD glass N-FK58 successful production run!optical position:nd 1.45600, d 90.80 extremely low dispersion excellent processing properties offers outstanding apochromatic correction capabilities in combinationwith SCHOTT KZFS glasses (e.g. N-KZFS4/5/8/11) supplements the low dispersion glass portfolio of N-PK52A and N-FK51ACaF2N-FK58Color correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG18

SCHOTT Advanced OpticsColor correction in optical systemsSCHOTT has improved its melting capabilities for theproduction of low dispersion glasses. During a recentmelting campaign for N-PK52A and N-FK51A, developmentof a new extremely low dispersion (XLD) glass N-FK58was accomplished by a successful production runMost anomalous dispersion glasses areavailable in step 0.5!Highly accurate and economic metrology isan important prerequisite for the success!„We are not selling glass,we are selling properties!“Color correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG19

SCHOTT Advanced OpticsColor correction in optical systemsN-FK58 XLD: A new extremely low dispersion glass withexcellent processing properties nd 1.45600, vd 90.80extremely low dispersionexcellent processing propertiesoutstanding apochromaticcorrection capabilities incombination with SCHOTT KZFSglasses (e.g. N-KZFS4/5/8/11) supplements the low dispersionglass portfolio of N-PK52A andN-FK51AThe datasheet of XLD glass N-FK58is currently generated and will beavailable soon.Color correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG20

SCHOTT Advanced OpticsColor correction in optical systemsN-FK58 XLD: A new extremely low dispersion (XLD) glasswith excellent processing propertiesN-FK58Color correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG21

Color correction in optical systemsSCHOTT Advanced Optics22N-FK58 XLD: A new extremely low dispersion (XLD) glasswith high internal transmittance!1,0internal transmittance0,90,8N-FK58, 25 mmcompetitor 1competitor 2competitor 3competitor 40,70,60,50,40,30,2200300Color correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG400500wavelength [nm]600700

Color correction in optical systemsSCHOTT Advanced Optics23Supporting glasses: SCHOTT‘s N-KZFS4 shows the largestdeviation from the normal line compared to the competition0N-KZFS4N-KZFS5N-KZFS8-0,002-0,004 PgFSCHOTTcompetitor 1-0,006competitor 2competitor 3-0,008-0,01-0,012Color correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG

Color correction in optical systemsSCHOTT Advanced Optics24SCHOTT’s N-PK52A: High transmission up to 4 µm41-201400156-05 N-PK52A24.09.2013 16:50 1.99 mm41-201400156-06 N-PK52A25.09.2013 23:00 1.99 mm41-201400156-07 N-PK52A29.09.2013 02:35 1.99 mm1.00.90.8Spectral 0004500Wavelength (nm)Color correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG500055006000

Color correction in optical systemsSCHOTT Advanced Optics25High end applications need glasses with anomalouspartial dispersionFluoro-phosphate glassesare used as LD, ED, ELDor SLD lenses in manyapplications.SCHOTT offers allglasses that are neededfor high quality designs!ED GlassAs this illustration indicates, the lens employs a full seven elements of extra low dispersion glass,including three of large diameter at the front for maximum aberration control. This optical formulaprovides superior image quality that will be obvious particularly at the edges of images made witha full-frame ED-VR-II.htmlColor correction in optical systems, Dr. Ralf Jedamzik, May 2014 SCHOTT AG

Color correction in optical systems, Dr. Ralf Jedamzik, May 2014 Fluoro-phosphate glasses are used as LD, ED, ELD or SLD lenses in many applications. SCHOTT offersall glassesthatareneeded forhigh qualitydesigns! As this illustration indicates, the lens emp

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