**
Geometric model of the transmissions of Hermite-Gaussian beam modes through the optical system**

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**
Roman Ilinsky**

Moscow, independent research

Received
March 20, 2013

**Abstract. **For modeling of the
transmissions of Hermite-Gaussian beam modes through the optical system
it is
proposed to replace the Hermite-Gaussian beam to a set of basic radiating
systems. Each base radiating system consists of a thin lens, emitting area and
amplitude filter in the plane of the lens. The sequence of base radiating
systems creates at each point of the flux density of the radiation energy,
which is directly proportional to the square of the modulus of the amplitude
modes Hermite-Gaussian beam. As an example, the simulation of the transmission
modes Hermite-Gaussian beam through a single lens is considered.

**Keywords: **Ray tracing,
Hermite-Gaussian beam.