Lateral describes a position away from the midline of the body.

Ipsilateral describes a structure on the same side; for example in a sonogram of the left internal carotid artery, the ipsilateral common carotid artery would be the left common carotid artery.

Lateral resolution is the minimum separation of two interfaces aligned along a direction perpendicular (objects that are side by side) to the ultrasound beam. The lateral or angular resolution directly relates with the collimation of the beam emitted by the crystal. Lateral resolution is proportionally affected by the frequency, the higher the frequency the greater the lateral resolution.
Higher frequency transducers are used in fetal and pediatric echocardiography because the lateral resolution displays the smaller structures better. Lower frequencies are used for adults where structures are larger and the need for greater depth penetration is important.

Apodization is a method for reducing side lobes (lateral array elements) in some arrays. It gradually decreases the vibration of the transducer surface with distance from its center by improving the directivity. It is usually accomplished by using more power to excite the innermost elements.

The wider the ultrasound beam, the more severe the problem with volume averaging and the beam-width artifact, to avoid this, the ultrasound beam can be shaped with lenses.
Different possibilities to focus the beam:

Conventional multi-element transducers are electronically focused in order to minimize beam width. This transducer type can be focused electronically only along the long axis of the probe where there are multiple elements, along the short axis (elevation axis) are conventional transducers only one element wide. Electronic focusing in any axis requires multiple transducer elements arrayed along that axis. Short axis focusing of conventional multi-element transducers requires an acoustic lens which has a fixed focal length.
For operation at frequencies at or even above 10 MHz, quantization noise reduces contrast resolution. Digital beamforming gives better control over time delay quantization errors. In digital beamformers the delay accuracy is improved, thus allowing higher frequency operation. In analog beamformers, delay accuracy is in the order of 20 ns.
Phased beamformers are suitable to handle linear phased arrays and are used for sector formats such as required in cardiography to improve image quality. Beamforming in ultrasound instruments for medical imaging uses analog delay lines. The signal from each individual element is delayed in order to steer the beam in the desired direction and focuses the beam.
The receive beamformer tracks the depth and focuses the receive beam as the depth increases for each transmitted pulse. The receive aperture increase with depth. The lateral resolution is constant with depth, and decreases the sensitivity to aberrations in the imaged tissue. A requirement for dynamic control of the used elements is given. Since often a weighting function (apodization) is used for side lobe reduction, the element weights also have to be dynamically updated with depth.

See also Huygens Principle.