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GLASS DESCRIPTION TRANSMISSION BK7 BK7 is a high-quality optical glass 350nm to 2.0μm commonly used to make lenses intended for laboratory use. It has excellent mechanical and optical properties as well as good transmission in the visible and IR. UV Fused Silica UV fused silica is an excellent material 185nm to 2.1μm for the transmission of UV light. It is durable and has good mechanical properties T external 80%/cm @ 185nm T internal 88%/cm @ 185nm CaF 2 Calcium fluoride provides great 180nm to 8.0μm transmission from the UV to the IR. Synthetic CaF 2 is used to improve deep UV transmission and to increase the damage threshold. MgF 2 Magnesium fluoride, an extremely 200nm to 6.0μm rugged and durable material, is transparent over an extensive range of wavelengths from the UV to the IR. Optical Systems Free Space Isolators E-O Devices Spherical Singlets Multi-Element Lenses Cylindrical Lenses Aspheric Lenses Mirrors Diffusers & Lens Arrays Windows Prisms Gratings Polarization Optics Beamsplitters Filters & Attenuators Gas Cells 698 Optics Spherical Lens Parameters Ø = Lens Diameter M = Magnification or Conjugate Ratio f = EFL (Effective Focal Length) 1 1 1 f = S + S' Paraxial Lens Formula (assumes sin θ ≈ θ) S = Object Distance, positive for objects to the left of the front principal point P. S' = Image Distance, positive for images to the right of the rear rear principal point P' Transmission of Various Materials UV Fused Silica Transmission www.thorlabs.com S ' S 1mm Thick Sample 1mm Thick Sample 1mm Thick Sample 1mm Thick Sample Surface Reflections Included Surface Reflections Included Surface Reflections Included Surface Reflections Included

Optics Spherical Lens Parameters - Thorlabs · S = Object Distance, positive for objects to the left of the front principal point P. S' = Image Distance, positive for images to the

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Page 1: Optics Spherical Lens Parameters - Thorlabs · S = Object Distance, positive for objects to the left of the front principal point P. S' = Image Distance, positive for images to the

GLASS DESCRIPTION TRANSMISSION

BK7 BK7 is a high-quality optical glass 350nm to 2.0µmcommonly used to make lensesintended for laboratory use. It has excellent mechanical and optical properties as well as good transmission in the visible and IR.

UV Fused Silica UV fused silica is an excellent material 185nm to 2.1µmfor the transmission of UV light. It isdurable and has good mechanical propertiesTexternal ≥ 80%/cm @ 185nmTinternal ≥ 88%/cm @ 185nm

CaF2 Calcium fluoride provides great 180nm to 8.0µmtransmission from the UV to the IR. Synthetic CaF2 is used to improve deepUV transmission and to increase thedamage threshold.

MgF2 Magnesium fluoride, an extremely 200nm to 6.0µmrugged and durable material, istransparent over an extensive rangeof wavelengths from the UV to the IR.

Optical Systems

Free Space Isolators

E-O Devices

Spherical Singlets

Multi-ElementLenses

Cylindrical Lenses

Aspheric Lenses

Mirrors

Diffusers& Lens Arrays

Windows

Prisms

Gratings

Polarization Optics

Beamsplitters

Filters& Attenuators

Gas Cells

698

Optics

Spherical Lens Parameters

Ø = Lens Diameter

M = Magnification or Conjugate Ratio

f = EFL (Effective Focal Length)

1 1 1f

=S

+S' Paraxial Lens Formula (assumes sin θ ≈ θ)

S = Object Distance, positive for objects to the left

of the front principal point P.

S' = Image Distance, positive for images to the right of the rearrear principal point P'

Transmission of Various Materials

UV Fused Silica Transmission

www.thorlabs.com

S'S

1mm ThickSample

1mm ThickSample

1mm ThickSample

1mm ThickSample

SurfaceReflections

Included

SurfaceReflections

Included

SurfaceReflections

Included

SurfaceReflections

Included

4 SphericalSinglets 697-709.qxd.P 7/9/07 8:34 PM Page 698

Page 2: Optics Spherical Lens Parameters - Thorlabs · S = Object Distance, positive for objects to the left of the front principal point P. S' = Image Distance, positive for images to the

699

Optical Systems

Free Space Isolators

E-O Devices

Spherical Singlets

Multi-ElementLenses

Cylindrical Lenses

Aspheric Lenses

Mirrors

Diffusers& Lens Arrays

Windows

Prisms

Gratings

Polarization Optics

Beamsplitters

Filters& Attenuators

Gas Cells

www.thorlabs.com

Optics

COATING WAVELENGTH DESIGN ANGLE USEFUL ANGLECODE RANGE OF INCIDENCE OF INCIDENCE

-UV 290-370nm 0° 0 to 30°-A 350-650nm 0° 0 to 30°-B 650-1050nm 0° 0 to 30°-C 1050-1620nm 0° 0 to 30°

Most of our standard optics are available withhigh-performance, multilayer AR coatings, whichminimize surface reflections within the specifiedwavelength ranges. These coatings are designedfor angles of incidence between 0° and 30° (0.5NA). For optics intended to be used at large

angles, consider using a custom coating optimized at a 45° of incidence; thesecoatings are effective from 25° to 52°. The plot shown below indicates theperformance of the standard coatings in this family as a function of wavelength for a single surface. Broadband coatings have a typical absorption of 0.25% that is not shown in the reflectivity plots.

Normal Incidence Broadband Multilayer Anti-Reflective Coating

(nm)

GLASS DESCRIPTION TRANSMISSION

SF11 This glass provides excellent chemical 420nm to 2.3µmresistance and has a high refractive index, which allows for the same amount of refraction with less curvature. It is useful for constructing optics that would be extremely difficult to make from BK7.

Ge The transmission characteristics of 2.0µm to 16µmgermanium in the IR region of thespectrum make it an ideal choice for imaging 2.0 - 16µm light.Ge plano-convex lenses are particularly well suited for more biomedicaland military imaging applications.

ZnSe With a transmission range from 600nm - 600nm to 16µm16µm, zinc selenide plano-convex lenses areideal for IR applications. Due to the lowabsorption coefficient, these lenses are alsoparticularly well suited for high-power CO2

laser applications. In contrast to Ge and Si,which also transmit in this spectral range, ZnSe transmits some visible light, thereby allowing for visual alignment of the optic.

Si Silicon plano-convex lenses are an ideal 1200nm to 8.0 µmchoice for applications from 1.2 - 8µmand are particularly well suited forimaging, biomedical, and military applications.

1mm Thick Sample

1mm Thick Sample

1mm Thick Sample

1mm ThickSample

Spherical Singlet Anti-Reflection Coatings

SurfaceReflections

Included

Surface Reflections Included

Surface Reflections Included

Surface Reflections Included

■ R < 0.5% Average Over Band at 0° Incidence■ Less Angular Sensitivity within Angular Range■ Frequently Run Coatings are Listed Below

4 SphericalSinglets 697-709.qxd.P 7/17/07 10:06 AM Page 699

Page 3: Optics Spherical Lens Parameters - Thorlabs · S = Object Distance, positive for objects to the left of the front principal point P. S' = Image Distance, positive for images to the

712

Optics

Optical Systems

Free Space Isolators

E-O Devices

Spherical Singlets

Multi-ElementLenses

Cylindrical Lenses

Aspheric Lenses

Mirrors

Diffusers& Lens Arrays

Windows

Prisms

Gratings

Polarization Optics

Beamsplitters

Filters& Attenuators

Gas Cells

www.thorlabs.com

CaF2 Vacuum UV: Plano-Concave & Bi-Concave LensesPlano-Concave lenses have a negative focal length and are typically used to divergecollimated beams of light in instruments like Galilean type beam expanders orTelescopes. The spherical aberration introduced into the electromagnetic wavefrontby a plano-concave lens is negative and, as a result, it can be used to balance thepositive spherical aberrations introduced by other lenses.

Bi-Concave lenses have a negative focallength and are commonly used to increasethe divergence of converging light. Withtwo concave surfaces, a bi-concave lens ismore divergent than a plano-concave lens ifthe radius of curvature for all the curvedsurfaces on both lenses is the same.

Plano-Concave Lenses: Material CaF2

Plano-Concave

Bi-Concave

1 Edge Thickness given before 0.2mm @ 45° typ. Chamfer. *See below for details.

Related Products

DIA f PRICE R tc te1 fb SUGGESTEDITEM # (mm) (mm) $ £ € RMB (mm) (mm) (mm) (mm) MOUNT*

LC5919 12.7 -18.0 $ 127.00 £ 80.00 € 118,10 ¥ 1,212.90 -7.8 2.0 5.3 -19.4 LMR05LC5749 12.7 -25.0 $ 118.00 £ 74.30 € 109,70 ¥ 1,126.90 -10.8 2.5 4.6 -26.7LC5269 25.4 -40.0 $ 175.00 £ 110.30 € 162,80 ¥ 1,671.30 -17.4 2.0 7.5 -41.4 SMR1 & SM1L05LC5401 25.4 -75.0 $ 165.00 £ 104.00 € 153,50 ¥ 1,575.80 -32.5 2.5 5.1 -76.7LC5289 25.4 -100.0 $ 161.00 £ 101.40 € 149,70 ¥ 1,537.60 -43.4 3.0 4.9 -102.1 LMR1LC5952 25.4 -200.0 $ 154.00 £ 97.00 € 143,20 ¥ 1,470.70 -86.8 3.5 4.4 -202.4LC5893 25.4 -500.0 $ 150.00 £ 94.50 € 139,50 ¥ 1,432.50 -216.9 4.0 4.4 -502.8

Bi-Concave Lenses: Material CaF2

1 Edge Thickness given before 0.2mm @ 45° typ. Chamfer. *See below for details.

DIA f PRICE R tc te1 fb SUGGESTEDITEM # (mm) (mm) $ £ € RMB (mm) (mm) (mm) (mm) MOUNT*

LD5451 12.7 -15.0 $ 128.00 £ 80.60 € 119,00 ¥ 1,222.40 -13.4 2.5 5.7 -15.8 LMR05LD5788 12.7 -25.0 $ 119.00 £ 75.00 € 110,70 ¥ 1,136.50 -22.1 3.0 4.9 -26.0LD5138 25.4 -30.0 $ 173.00 £ 109.00 € 160,90 ¥ 1,652.20 -26.4 2.5 9.0 -30.9 SMR1 & SM1L05LD5313 25.4 -50.0 $ 164.00 £ 103.30 € 152,50 ¥ 1,566.20 -43.8 3.0 6.8 -51.0 LMR1

Specifications■ Material: Vacuum Grade CaF2■ Wavelength Range:

180nm-8.0µm Uncoated■ Diameter Tolerance:

+0.00/-0.10mm■ Focal Length Tolerance: ±1%

■ Scratch-Dig: 40-20■ Centration: ≤3arcmin■ Clear Aperture: ≥90% of Dia.■ Design Wavelength:

588nm, n = 1.433

LMR SERIESLENS MOUNTSSee page 154 foradditional fixed mountsand mounting options

ITEM $ £ € RMB LENS DIAMETER

LMRA5 $ 13.80 £ 8.70 € 12,80 ¥ 131.80 5mm Adapter

LMRA6 $ 13.80 £ 8.70 € 12,80 ¥ 131.80 6mm Adapter

LMRA9 $ 13.80 £ 8.70 € 12,80 ¥ 131.80 9mm Adapter

LMR05 $ 14.25 £ 9.00 € 13,30 ¥ 136.10 1/2" (12.7mm)

LMR1 $ 15.68 £ 9.90 € 14,60 ¥ 149.70 1" (25.4mm)

LMR30 $ 26.50 £ 16.70 € 24,60 ¥ 253.10 30mm

LMR1.5 $ 22.40 £ 14.10 € 20,80 ¥ 213.90 1.5" (38.1mm)

LMR75 $ 49.00 £ 30.90 € 45,60 ¥ 468.00 75mm

IR & UV Visible Viewing CardsSee page 899

* Required LMR05 sold separately. **Add /M to the part for the metric item

5 SphericalSinglets 710-716.qxd.P 7/10/07 11:45 AM Page 712