
Beam Splitter Input-Output Relations
The elements of the beam splitter transformation matrix B are determined using the assumption that the beamsplitter is lossless.
The splitting ratio determines how much light is transmitted versus reflected. For non-polarizing beam splitters, this ratio is controlled by thin-film coatings applied to the optical surface. Dielectric coatings with alternating high and low refractive index layers can be optimized to achieve a desired ratio, such as 50/50, 70/30, or other custom values, while metallic coatings like aluminum or silver provide broader wavelength coverage but with higher energy loss .
Polarizing beam splitters separate light based on polarization. Their function can be modified by selecting materials with different birefringence or by changing the extinction ratio, which is the ratio of P-polarized to S-polarized light in the transmitted beam. For example, Wollaston prisms use birefringent crystals to split orthogonal polarizations, and adjusting the crystal orientation can alter the output polarization states .
Dichroic beam splitters separate beams based on wavelength. You can modify their function by choosing shortpass, longpass, or multiband coatings. The cutoff or cut-on wavelength can be tuned by changing the coating design or using different dielectric materials, allowing selective transmission or reflection of specific spectral bands .
The angle at which light hits the beam splitter affects the transmitted and reflected intensities. Adjusting the angle of incidence can fine-tune the splitting ratio or phase relationship. In high-precision applications, adding a compensation plate of the same material and thickness as the beam splitter can equalize optical path lengths and reduce phase errors or ghosting .
Before physically modifying a beam splitter, you can simulate changes using optical design software like OpticStudio. In Non-Sequential Mode, multiple transmitted and reflected rays can be traced simultaneously, allowing you to test different coatings, angles, and polarization effects. Sequential Mode requires separate configurations for each path but can still model 50/50 or custom splitting designs .

The elements of the beam splitter transformation matrix B are determined using the assumption that the beamsplitter is lossless.

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