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Molded Glass Aspheric Lenses: Uncoated


  • High NA (0.26 to 0.55)
  • Diffraction-Limited Design
  • Collimate or Focus Light with a Single Element

A110

A110TM

A240

A240TM

A220

Application Idea

Aspheric Lens in a Fiber Launch Application

Related Items


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Webpage Features
 info icon Click for complete specifications.
Performance Hyperlink Click to view item-specific focal length shift data and spot diagrams at various wavelengths.
Zemax Files
Click on the red Document icon next to the item numbers below to access the Zemax file download. Our entire Zemax Catalog is also available.

Molded Glass Aspheric Lenses: Uncoated

Aspheric lenses are designed to focus or collimate light without introducing spherical aberration into the transmitted wavefront. For monochromatic sources, spherical aberration is often what prevents a single spherical lens from achieving diffraction-limited performance when focusing or collimating light. Thus, an aspheric lens is often the best single element solution for many applications including collimating the output of a fiber or laser diode, coupling light into a fiber, spatial filtering, or imaging light onto a detector.

This page features our small selection on uncoated molded glass aspheric lenses. Please note that Thorlabs offers a larger selection of aspheric lenses with one of our AR coatings deposited on both sides (see links in the selection table to the right).

All of these molded glass lenses are available premounted in nonmagnetic 303 stainless steel lens cells that are engraved with the part number for easy identification. These mounted versions have a metric thread that makes them easy to integrate into an optical setup or OEM application. Mounted aspheres are readily adapted to our SM1 series of lens tubes by using our Aspheric Lens Adapters. They can be used as a drop-in replacement for multi-element microscope objective by combining the lens with our Microscope Objective Adapter Extension Tube.

If an unmounted aspheric lens is being used to collimate the light from a point source or laser diode, the side with the greater radius of curvature (i.e., the flatter surface) should face the point source or laser diode. To collimate light using one of our mounted aspheric lenses, orient the housing so that the externally threaded end of the mount faces the source.

Molded glass aspheres are manufactured from a variety of optical glasses to yield the indicated performance. The molding process will cause the properties of the glass (e.g., Abbe number) to deviate slightly from those given by glass manufacturers. Specific material properties for each lens can be found by clicking on the Glass link in the tables below.

Choosing a Lens

Aspheric lenses are commonly chosen to couple incident light with a diameter of 1 - 5 mm into a single mode fiber. A simple example will illustrate the key specifications to consider when trying to choose the correct lens.

Example:
Fiber: P1-630A-FC-2
Collimated Beam Diameter Prior to Lens: Ø3 mm

The specifications for the P1-630A-FC-2, 630 nm, FC/PC single mode patch cable indicate that the mode field diameter (MFD) is 4.3 μm. This specification should be matched to the diffraction-limited spot size given by the following equation:

Equation for Diffraction-Limited Spot

Here, f is the focal length of the lens, λ is the wavelength of the input light, and D is the diameter of collimated beam incident on the lens. Solving for the desired focal length of the collimating lens yields

focal length of collimating lens

Thorlabs offers a large selection of mounted and unmounted aspheric lenses to choose from. The aspheric lens with a focal length that is closest to 16 mm has a focal length of 15.29 mm (Item# 354260-B or A260-B). This lens also has a clear aperture that is larger than the collimated beam diameter. Therefore, this aspheric lens is the best option given the initial parameters (i.e., a P1-630A-FC-2 single mode fiber and a collimated beam diameter of 3 mm). Remember, for optimum coupling the spot size of the focused beam must be less than the MFD of the single mode fiber. As a result, if an aspheric lens is not available that provides an exact match, then choose the aspheric lens with a focal length that is shorter than the calculation above yields. Alternatively, if the clear aperture of the aspheric lens is large enough, the beam can be expanded before the aspheric lens, which has the result of reducing the spot size of the focus beam.

Lens Design Formula

  • Positive Radius Indicates that the Vertex is Located Left of the Center
  • Negative Radius Indicates that the Vertex is Located Right of the Center

1

Variable Definitions
z SAG as a Function of Y
R Radius of Curvature
k Conic Constant
A4 4th Order Aspheric Coefficient
A6 6th Order Aspheric Coefficient
A8 8th Order Aspheric Coefficient
A10 10th Order Aspheric Coefficient
A12 12th Order Aspheric Coefficient

Aspheric Lens Coefficients

The aspheric lens coefficients are listed on the product page that is loaded by clicking on the part number in the price table below and in the .pdf and .dxf files available for each lens. Links to the files can be found under the Drawings and Documents tab or by clicking on the part number in the price table below.

Choosing a Collimation Lens for Your Laser Diode

Since the output of a laser diode is highly divergent, collimating optics are necessary. Aspheric lenses do not introduce spherical aberration and are therefore are commonly chosen when the collimated laser beam is to be between one and five millimeters. A simple example will illustrate the key specifications to consider when choosing the correct lens for a given application.

Example

  • Laser Diode to be Used: L780P010
  • Desired Collimated Beam Diameter: Ø3 mm (Major Axis)

When choosing a collimation lens, it is essential to know the divergence angle of the source being used and the desired output diameter. The specifications for the L780P010 laser diode indicate that the typical parallel and perpendicular FWHM beam divergences are 10° and 30°, respectively. Therefore, as the light diverges, an elliptical beam will result. To collect as much light as possible during the collimation process, consider the larger of these two divergence angles in any calculations (i.e., in this case, use 30°). If you wish to convert your elliptical beam into a round one, we suggest using an Anamorphic Prism Pair, which magnifies one axis of your beam.

laser diode collimation drawing

Ø = Beam Diameter

Θ = Divergence Angle

Assuming that the width of the lens is negligible compared to the radius of curvature, the thin lens approximation can be used to determine the appropriate focal length for the asphere. Assuming a divergence angle of 30° (FWHM) and desired beam diameter of 3 mm:

focal length calculation

f = Focal Length

Note that the focal length is generally not equal to the needed distance between the light source and the lens.

With this information known, it is now time to choose the appropriate collimating lens. Thorlabs offers a large selection of aspheric lenses. For this application, the ideal lens is a molded glass aspheric lens with focal length near 5.6 mm and our -B antireflection coating, which covers 780 nm. The C171TMD-B (mounted) or 354171-B (unmounted) aspheric lenses have a focal length of 6.20 mm, which will result in a collimated beam diameter (major axis) of 3.3 mm. Next, check to see if the numerical aperture (NA) of the diode is smaller than the NA of the lens:

0.30 = NALens > NADiode ≈ sin(15°) = 0.26

Up to this point, we have been using the full-width at half maximum (FWHM) beam diameter to characterize the beam. However, a better practice is to use the 1/e2 beam diameter. For a Gaussian beam profile, the 1/e2 diameter is almost equal to 1.7X the FWHM diameter. The 1/e2 beam diameter therefore captures more of the laser diode's output light (for greater power delivery) and minimizes far-field diffraction (by clipping less of the incident light).

A good rule of thumb is to pick a lens with an NA twice that of the laser diode NA. For example, either the A390-B or the A390TM-B could be used as these lenses each have an NA of 0.53, which is more than twice the approximate NA of our laser diode (0.26). These lenses each have a focal length of 4.6 mm, resulting in an approximate major beam diameter of 2.5 mm. In general, using a collimating lens with a short focal length will result in a small collimated beam diameter and a large beam divergence, while a lens with a large focal length will result in a large collimated beam diameter and a small divergence.


Posted Comments:
Congli Wang  (posted 2020-10-03 05:02:59.823)
Same here, A6 coefficient is different on this page (-1.30539e-005) and in the Auto CAD PDF (1.3053900E-05). Which one to trust?
YLohia  (posted 2020-10-08 03:03:11.0)
Hello, thank you for contacting Thorlabs and bringing this to our attention. The A6 coefficient should have the negative sign. We will correct this information.
Congli Wang  (posted 2020-10-03 04:50:48.55)
The Aspheric coefficient A6 is not consistent in two different places: (1) On this page, it is mentioned A6 = -0.0001090000. (2) However in the AutoCAD PDF, A6 = 1.0900023E-04. (Notice the missing minus sign as well as the last digits) (2*) If you click on "INFO" on https://www.thorlabs.com/newgrouppage9.cfm?objectgroup_id=3809, you found A6 = 1.0900023 x 10-4, which is consistent with (2). Which version is correct?
YLohia  (posted 2020-10-08 03:03:09.0)
Hello, thank you for contacting Thorlabs and bringing this to our attention. The A6 coefficient should have the negative sign. 1.0900023E-04 was rounded down to 0.0001090000. We will correct this information.
Chris Manning  (posted 2020-08-31 11:29:15.35)
I'm not sure that all the ones I asked for are here, but this is an impressive document that will benefit someone, if only as an example of the densest spreadsheet ever made: www.hoya-opticalworld.com/common/xls/HOYA20180717.xlsx
Chris Manning  (posted 2020-08-31 10:29:38.817)
I was wondering about the melting points of these (moldable) glasses and their transmission ranges. I am interested in UV cure. It would be a nice touch if the glass names in the product column were hot links to the glass properties that included transmission ranges, melting points, CTE's, etc.
zhuzhanda  (posted 2018-05-28 15:37:35.433)
光纤耦合选透镜焦距时,计算出的衍射极限光斑大小:4*波长*f/(D*Pi),书中衍射公式光斑半径大小为1.22*波长*f/D,二者有和区别和联系
YLohia  (posted 2018-05-29 09:12:36.0)
Hello, thank you for contacting Thorlabs. Our Tech Support China team will reach out to you directly to discuss your request.
AR Coating Abbreviations
Abbreviation Description
U Uncoated: Optics Do Not have an AR Coating
A Broadband AR Coating for the 350 - 700 nm or 400 - 600 nm Range
B Broadband AR Coating for the 600 - 1050 nm or 650 - 1050 nm Range
C Broadband AR Coating for the 1050 - 1620 nm or 1050 - 1700 nm Range
V Narrowband AR Coating Designed for the Wavelength Listed in the Table Below

The table below contains all molded visible and near-IR aspheric lenses offered by Thorlabs. For our selection of IR molded aspheres, click here. The Item # listed is that of the unmounted, uncoated lens. An "X" in any of the five AR Coating Columns indicates the lens is available with that coating (note that the V coating availability is indicated with the design wavelength). The table to the right defines each letter and lists the specified AR coating range. Clicking on the X takes you to the landing page where that lens (mounted or unmounted) can be purchased.

Base Item # AR Coating Options Effective
Focal Length
NA Outer Diameter of
Unmounted Lens
Working Distance Entrance
Clear Aperture of
Unmounted Lens
U A B C V Unmounted Mounteda
354140   X X X    1.45 mm 0.58 2.4 mm 0.81 mm 0.81 mm 1.60 mm
354710   X X X   1.49 mm 0.53 2.7 mm 0.52 mmb 0.42 mmb 1.50 mm
355151   X X X   2.00 mm 0.50 3.00 mm 0.48 mmb 0.28 mmb 2.00 mm
355390   X X X   2.75 mm 0.55 4.50 mm 2.16 mm 1.91 mm 3.60 mm
355392   X X X   2.75 mm 0.64 4.00 mm 1.50 mm 0.98 mm 3.60 mm
355440   X X X   2.76 mm 0.26/0.52c 4.7 mm 1.96 mm/7.09 mmb,c 1.86 mm/7.09 mmb,c 4.12 mm
355660   X X X   2.97 mm 0.60 4.00 mm 1.56 mm 1.31 mm 3.60 mm
354330   X X X   3.1 mm 0.68 6.3 mm 1.76 mm 1.76 mm 5.00 mm
N414   X X X   3.30 mm 0.47 4.50 mm 1.94 mm 1.83 mm 3.52 mm
352610   X X     4.00 mm 0.60 6.325 mm 1.52 mm 1.22 mm 4.80 mm
352671   X X   405 4.02 mm 0.60 6.325 mm 1.37 mm 1.06 mm 4.80 mm
354340   X X     4.03 mm 0.64 6.3 mm 1.48 mmb 1.18 mmb 5.10 mm
354350     X X   4.50 mm 0.43 4.70 mm 2.19 mm 1.59 mm 3.70 mm
355230   X X X   4.51 mm 0.55 6.30 mm 2.83 mmb 2.43 mmb 5.07 mm
A230 X X X X   4.51 mm 0.55 6.34 mm 2.91 mm 2.53 mm 4.95 mm
352230         1064 4.51 mm 0.551 6.325 mm 2.67 mm 2.43 mm 4.95 mm
354453 X X X 4.6 mm 0.5 6.000 mm 2.049 mmb 2.049 mmb S1: 3.38 mm
S2: 4.80 mmd
A390   X X     4.60 mm 0.53 6.00 mm 2.70 mm 1.64 mm 4.89 mm
354430     X X   5.00 mm 0.16 2.00 mm 4.37 mm 3.37 mm 1.60 mm
354105 X X X 5.5 mm 0.6 7.200 mm 3.091 mmb 3.091 mmb S1: 4.96 mm
S2: 6.00 mmd
354171   X X X   6.20 mm 0.30 4.70 mm 3.44 mmb 2.84 mmb 3.70 mm
352110         1064 6.24 mm 0.40 7.20 mm 2.67 mm 1.70 mm 5.00 mm
355110   X X X   6.24 mm 0.40 7.20 mm 2.69 mmb 1.59 mmb 5.00 mm
A110 X X X X   6.24 mm 0.40 7.20 mm 3.39 mm 2.39 mm 5.00 mm
A375   X X X   7.50 mm 0.30 6.51 mm 5.90 mm 5.59 mm 4.50 mm
352240   1064 8.00 mm 0.50 9.936 mm 5.00 mm 4.01 mm 8.00 mm
354240 X X X 8.00 mm 0.50 9.94 mm 5.90 mm 4.80 mm 8.00 mm
A240 X X X X   8.00 mm 0.50 9.94 mm 5.92 mm 4.79 mm 8.00 mm
354060 X X X 9.6 mm 0.3 6.325 mm 7.486 mmb 7.486 mmb S1: 5.13 mm
S2: 5.20 mmd
354061 X X X 11.0 mm 0.2 6.330 mm 8.909 mmb 8.909 mmb S1: 4.63 mm
S2: 5.20 mmd
354220 X X X 11.00 mm 0.25 7.2 mm 6.91 mmb 5.81 mm 5.50 mm
352220         1064 11.00 mm 0.25 7.215 mm 6.97 mm 5.83 mm 5.50 mm
A220 X X X     11.00 mm 0.26 7.20 mm 7.97 mm 6.91 mm 5.50 mm
355397 X X X 11.0 mm 0.3 7.200 mm 9.364 mmb 9.364 mmb S1: 6.24 mm
S2: 6.68 mmd
A397   X X X   11.00 mm 0.30 7.20 mm 9.64 mm 8.44 mm 6.59 mm
354560   X X X   13.86 mm 0.18 6.33 mm 12.11 mm 11.74 mm 5.10 mm
354260   X X X   15.29 mm 0.16 6.50 mm 12.73 mmb 12.43 mmb 5.00 mm
A260   X X X   15.29 mm 0.16 6.50 mm 14.09 mm 13.84 mm 5.00 mm
352280         1064 18.40 mm 0.15 6.500 mm 15.88 mm 15.63 mm 5.50 mm
354280   X X X   18.40 mm 0.15 6.5 mm 15.86 mmb 15.56 mmb 5.50 mm
A280   X X X   18.40 mm 0.15 6.50 mm 17.13 mm 16.88 mm 5.50 mm
  • The mounted working distance is measured from the edge of the unthreaded portion of the housing.
  • This working distance is measured from the lens to the window of the laser diode being collimated (not the emission point).
  • Image / Object
  • The clear aperture of the unmounted lens is different on either side. Please visit the landing page for more details.

Uncoated Aspheric Lenses

Item #
(Unmounted/
Mounted)
Info EFLa NA OD CA WDb DW M Glass Performance Thread Suggested
Spanner Wrench
A230 info 4.51 mm 0.55 6.34 mm 4.95 mm 2.91 mm 780 nm S-NPH1 A230_Asph.pdf - -
A110 info 6.24 mm 0.40 7.20 mm 5.00 mm 3.39 mm 780 nm H-LAK54 A110_Asph.pdf - -
A110TM 9.24 mm 2.39 mm M9 x 0.5 SPW301
A240 info 8.00 mm 0.50 9.94 mm 8.00 mm 5.92 mm 780 nm D-LAK6 A240_Asph.pdf - -
A240TM 12.24 mm 4.79 mm M12 x 0.5 SPW302
A220 info 11.00 mm 0.26 7.20 mm 5.50 mm 7.97 mm 633 nm D-K59 A220_Asph.pdf - -
A220TM 9.24 mm 6.91 mm M9 x 0.5 SPW301
  • EFL is specified at the design wavelength for the unmounted lens.
  • WD is specified at the design wavelength.

EFL = Effective Focal Length
NA = Numerical Aperture
CA = Clear Aperture

WD = Working Distance
DW = Design Wavelength

OD = Outer Diameter
M = Magnification

Based on your currency / country selection, your order will ship from Newton, New Jersey  
+1 Qty Docs Part Number - Universal Price Available
A230 Support Documentation
A230f = 4.51 mm, NA = 0.55, Unmounted Rochester Aspheric Lens, Uncoated
$78.73
Today
A110 Support Documentation
A110f = 6.24 mm, NA = 0.40, Unmounted Rochester Aspheric Lens, Uncoated
$78.73
Today
A110TM Support Documentation
A110TMf = 6.24 mm, NA = 0.40, Mounted Rochester Aspheric Lens, Uncoated
$84.14
Today
A240 Support Documentation
A240f = 8.0 mm, NA = 0.50, Unmounted Rochester Aspheric Lens, Uncoated
$78.73
Today
A240TM Support Documentation
A240TMf = 8.0 mm, NA = 0.50, Mounted Rochester Aspheric Lens, Uncoated
$84.14
Today
A220 Support Documentation
A220f = 11.0 mm, NA = 0.26, Unmounted Rochester Aspheric Lens, Uncoated
$78.73
Today
A220TM Support Documentation
A220TMf = 11.0 mm, NA = 0.26, Mounted Rochester Aspheric Lens, Uncoated
$84.14
Today
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