Grow Lights can be adequate for indoor Herb Plant Growth.

Light intensity is the most critical of the limiting factors in photosynthesis of Growing Herbs. Because artificial light is less intense than natural sunlight, 14 to 16 hours of artificial light is required per day for most herb plants to produce adequate growth. The lower the intensity of the grow lights, the longer the herb plants need to be exposed to the light. If the herb grower is using High Intensity Discharge or HID lighting, the herbs will need less time under the lights than if fluorescent fixtures are used.
Herb plants grown in inadequate light will become what is known as "leggy". The plants will develop undersized leaves, overly long stems, and will become an anemic, yellow color rather than that of lush green, which is due to the lack of chlorophyll formation in the herb leaves.
The stems grow closer to a normal lengthas the light is increased and the leaves increase in size but are still yellow from lack of chlorophyll formation. Increase the light a bit more, and while the size of the herb does not change to a great extent, the leaves will begin to turn green because of increased production of chlorophyll.

Fluorescent Gro Light There are three basic types of grow lights available to the home herb gardener:

Fluorescent Grow Lights- Produce the lowest light intensity but with little heat, are economical to operate, inexpensive to purchase and are readily available. A quality fluorescent grow light can be home-made or purchased complete - Fluorescent grow lights need should be located close above herb seedlings to provide adequate light intensity.

High Intensity Discharge (HID) lighting is illustrated by the following examples.

High Pressure Sodium- Do not produce the complete spectrum but very good when some ambient light is available - High Pressure Sodium grow lights are known to produce excessive heat, are more expensive to purchase and are heavy to handle.
Metal Halide- Most full-spectrum - best choice when no ambient light is available.- Like other HID grow lights, they produce excessive heat and must be suspended farther above herb plants. - They can also be more expensive and heavy to handle.

Good quality lighting for raising top-quality herb seedlings by the home-owner can be had using readily available fluorescent lights. Simply purchase two fluorescent fixtures or shop lights, available at any home improvement store.
For an added boost to complete the color spectrum needed by your herb seedlings, simply add three 15 watt incandescent bulbs to the array.