When it comes to making your very own DIY eyeglass cleaner, there’s a variety of tricks out there. Some of the eyeglass cleaner recipes below will offer a quick and easy way to give your glasses a thorough rinse. Others will help you make your very own on-the-go lens cleaning solution.

Numerical aperture

An objective lens determines the basic performance of an optical microscope or imaging systems and is designed for various performance needs and applications.

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The diffraction limit is essentially the resolution limit that is imposed on an optical system by the wave nature of light and the process of diffraction.  To understand this, let’s look at what diffraction does when light shines through an opening.

Fraunhoferdiffraction

Any lens has a finite aperture, and when light passes through an aperture— no matter its size— diffraction will occur. We call a diffraction pattern an Airy disk, and it is disk shaped. There is a bright area in the center surrounded by concentric rings,  and each ring decreases in brightness as you move out. This Airy disk is the key to the diffraction limit, as it is the Airy disk which is the smallest point to which you can focus a beam of light. We sometimes call this the ‘minimum spot size’ of an optical system.

And there you have it: Your very own eyeglass cleaning solution! This simple recipe gives your old store-bought bottle a much-needed refill at a fraction of the cost.

The radius of the Airy disk depends on two important factors: the wavelength of light and the size of the aperture, and we can estimate it with the equation: Ra = 1.22λ/2Na. In this equation Ra is the airy radius, λ is the wavelength of illuminating light, and  Na the numerical aperture.

Abbediffraction limit

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Rayleigh criterion

What is the cutoff frequency of the lens, the diffraction limit? We can calculate it using the same two parameters we used to calculate the radius of our airy disks. The equation is:

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Having clean eyeglasses isn’t the only thing that can keep them looking like new. Here are some other care tips to help prolong the life of your specs: * Keep your glasses in a case when you’re not wearing them. * Avoid wearing your glasses when doing an activity that may damage them, like playing sports or working outside. Instead, correct and protect your vision with a pair of specialty sports glasses or safety glasses during those activities. * Be gentle when handling your glasses — don’t bend or stretch them unnecessarily.

Airy disk formula

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As the numerical aperture increases, the radius of the airy disk decreases. In modern optics, the numerical aperture can be as high as 1.4-1.6.  The table below shows the diameter of an airy disk for lenses of different apertures when the lens is illuminated with light at 520 nm.

There’s a mistake people often make when assessing the performance of a microscope or telescope— forgetting the diffraction limit.  It is a theoretical limiting factor governing the maximum obtainable resolution of an optical system. When we leave it out of our calculations we may end up with very unrealistic expectations.

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For visible light microscopy, the diffraction limit— the smallest detail that can be resolved— is about 200-250 nanometers.

Diffractiongrating

No; the passage of light through the atmosphere introduces significant distortions that limit performance to a lower resolution than provided by diffraction limited observation.

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Don’t continue wearing frames or lenses that are worn out or broken. You may have become attached to your tried and true pair, but ill-fitting and broken glasses can put strain on your eyes.

The diffraction limit tells us that there is a limit to the resolution of images we can obtain, no matter how much we improve our optical system. Although this limit is not important for everyday photography or situations in which resolution is already limited by other significant optical aberrations,  it is important to microscopy, telescopic, and high resolution photography.

Diffraction limitcalculator

Follow these steps to successfully wash your glasses using an alcohol-free eyeglasses cleaner: 1. Prepare a medium-sized bowl of warm tap water. You can also use distilled water if you prefer it. 2. Add in a couple drops of lotion-free dish soap. 3. Mix the soapy water gently with a spoon. 4. Using both hands, hold your eyeglass frames by the arms and — if you’re only wanting to clean the glasses lenses — dip the lenses into the soapy water. If you also want to clean your glasses frames, submerge them fully into the homemade eyeglass cleaner.

Explore the latest in optics and refraction, including recent advances in materials, techniques, and approaches to correcting vision.

This method gently and effectively rinses and washes your glasses. If you don’t have any glasses cleaner, it’s OK to use just a microfiber cloth for cleaning and removing smudges from your lenses. But the cloth ultimately pushes dirt and debris to the sides of your lenses rather than removing them.

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Diffractionresolution

After the lenses have been submerged into and removed from the cleaning solution, gently and thoroughly dry them with a microfiber cleaning cloth.

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This article— part two of our series on “Avoid Optical Pitfalls”— will look at what the diffraction limited is, how to calculate it, and how it can affect the resolution of high performance optics.

Making your own homemade eyeglass cleaner is a great idea for many reasons. While you can buy cleaning solution on a visit to your optometrist, it may be easier to make it yourself. In fact, you’ve probably got all the ingredients for a DIY lens cleaner in your kitchen.

How does this relate to the limited diffraction?  Imagine a perfect lens with no aberrations, not limited by design or manufacturing flaw. Each point light source will create an airy disk, and when an image is properly resolved the airy disks do not overlap. When the outer rings merge, the sensor will be diffraction limited. The only way to improve resolution will be to increase the numerical aperture. But when the center of each airy disk merges, we’ve reached the limit of resolution; the diffraction cutoff frequency. When you’ve reached the limit of resolution you’ll not be able to resolve further even by increasing aperture.

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Before you give the recipes a read, here are a few household items you’ll need to create and use a homemade cleaner: Warm water Dish soap Rubbing alcohol (optional) Spray bottle (optional) Spoon or mixing utensil